what is 5a+6b=c
and what is 5a+8=7b-6
whats the answer for as well for 6a+3=8b+10
Answers
The numeric value of the expression c = 5a + 6b is given as follows:
c = 759.5.
How to obtain the numeric value of the expression?The expression in this problem is defined as follows:
c = 5a + 6b.
To obtain the numeric value of the expression, the values of a and b have to be known, and they are discovered solving the system of equations presented as follows:
5a + 8 = 7b - 6.6a + 3 = 8b + 10.In standard format, the system is given as follows:
5a - 7b = -14.6a - 8b = 7.Multiplying the first equation by 6 and the second by -5, we have that:
30a - 42b = -84.-30a + 40b = -35.Adding the two equations, we have that the variable b is given as follows:
-2b = -119
b = 119/2
b = 59.5.
Then the variable a is obtained as follows:
5a + 8 = 7(59.5) - 6
a = (7(59.5) - 6 - 8)/5
a = 80.5.
Thus the numeric value of the expression is given as follows:
c = 5(80.5) + 6(59.5)
c = 759.5.
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Related Questions
Calculate
H
ˉ
0
(2000 K)−
H
ˉ
0
(0 K) for H(g)
Answers
The value of ΔH°(2000 K) - ΔH°(0 K) for H(g) is the enthalpy change of formation of H(g) at 2000 K minus the enthalpy change of formation of H(g) at 0 K.
What is the enthalpy change of formation of H(g) at 2000 K?The enthalpy change of formation (ΔH°f) is the heat energy released or absorbed when one mole of a substance is formed from its elements in their standard states. To calculate ΔH°(2000 K) for H(g), we need to find the enthalpy change of formation of H(g) at 2000 K.
At 2000 K, H(g) is in a gaseous state. To determine its enthalpy change of formation, we compare it to the elements in their standard states. The standard state of hydrogen is H₂(g) at 298 K and 1 atm. Thus, we need to consider the energy required to convert H₂(g) at 298 K and 1 atm to H(g) at 2000 K.
The enthalpy change of formation at a specific temperature can be calculated using the equation:
ΔH°(T₂) = ΔH°(T₁) + ∫Cp(T)dT
Where ΔH°(T₂) is the enthalpy change of formation at temperature T₂, ΔH°(T₁) is the enthalpy change of formation at temperature T₁ (in this case, 298 K), Cp(T) is the heat capacity of the substance as a function of temperature, and the integral is taken over the temperature range from T₁ to T₂.
To obtain an accurate calculation, we would need the specific heat capacity data for H(g) over the temperature range from 298 K to 2000 K. Unfortunately, without this data, we cannot provide a precise value for ΔH°(2000 K) for H(g).
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Evaluate. [(1 1/5−2/5)⋅(−3/4)3]÷(−9) What is the value of the expression? Enter your answer as a simplified fraction in the box.
PLEASE answer quick please thank you
Answers
Answer:
1/5 or 0.2
Step-by-step explanation:
Conversion a mixed number 1 1/ 5
to a improper fraction: 1 1/5 = 1 1/ 5
= 1 · 5 + 1/ 5
= 5 + 1/ 5
= 6/ 5
To find a new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/ 5
= 5/ 5
b) Add the answer from previous step 5 to the numerator 1. New numerator is 5 + 1 = 6
c) Write a previous answer (new numerator 6) over the denominator 5.
One and one fifth is six fifths
Subtract: 6/ 5
- 2/ 5
= 6 - 2/ 5
= 4/ 5
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 5) = 5. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 5 = 25. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - six fifths minus two fifths = four fifths.
Multiple: the result of step No. 2 * (-3/ 4
) = 4/ 5
* (-3/ 4
) = 4 · (-3)/ 5 · 4
= -12/ 20
= -3 · 4/ 5 · 4
= -3/ 5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-12, 20) = 4. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - four fifths multiplied by minus three quarters = minus three fifths.
Multiple: the result of step No. 3 * 3 = -3/ 5
* 3 = -3 · 3/ 5 · 1
= -9/ 5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-9, 5) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - minus three fifths multiplied by three = minus nine fifths.
Divide: the result of step No. 4 : (-9) = -9/ 5
: (-9) = -9/ 5
· -1/ 9
= -9 · (-1)/ 5 · 9
= 9/ 45
= 9 · 1/ 9 · 5
= 1/ 5
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -9/ 1
is 1/ -9
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 9 gives 1/ 5
.
In other words - minus nine fifths divided by minus nine = one fifth.
Scientists estimate that the mass of the sun is 1. 9891 x 1030 kg. How many zeros are in this
number when it is written in standard notation?
A 26
B 30
C 35
D 25
Answers
The total number of zeros in the mass of the sun when written in standard notation is 30, which is option B.
When we write the number in standard notation, we move the decimal point to the left or right to express the number in terms of powers of 10. In this case, we can write the mass of the sun as:
1.9891 x 10^30
To count the number of zeros in this number, we only need to count the number of digits to the right of the decimal point, which is zero in this case. Then we add the exponent, which tells us the number of places we need to move the decimal point to the right to express the number in standard notation. In this case, the exponent is 30, so we need to move the decimal point 30 places to the right, which means adding 30 zeros.
Therefore, the total number of zeros in the mass of the sun when written in standard notation is 30, which is option B.
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The sum of three consecutive odd integers is 153. What is the value of the largest of the integers?
Help me pls
Answers
the value of largest integer when the sum of 3 consecutive odd integers is 153 is 53.
We know that odd consecutive numbers means the difference between the numbers will be 2
So, let the first odd number be x
Second number will be = x + 2
Third number will be = x + 2 + 2 = x + 4
Now, we are given that, the sum of these odd integers is 153
So, we get the equation as:
x + x + 2 + x + 4 = 153
3 x + 6 = 153
3 x = 153 - 6
3 x = 147
x = 147 / 3
x = 49
Largest integer = x + 4 = 49 + 4 = 53
Therefore, we get that, the value of largest integer when the sum of 3 consecutive odd integers is 153 is 53.
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From compound interest-Class 10.Suntali deposited Rs 9000 altogether in her saving account and fixed deposit account in a bank.Saving account gives her 5%p.a. interest compounded annually and fixed deposit account gives 10% p.a. interest compounded half-yearly.If she got Rs 160 more interest from fixed deposit account at the end of one year,find how much money did she deposit in her each account?
Answers
Answer:
Step-by-step explanation:
Step-by-step explanation:
Year 1 - You earn interest on your Principal.
Year 2 - You earn interest on your (Principal + Interest of Year 1).
Year 3 - You earn interest on your (Principal + Interest of Year 1 + Interest of Year 2).
Compound interest is the basis of long-term growth of the stock market. It forms the basis of personal savings plans. Compound interest also affects inflation.
Types of Compound Interest
There are generally two types of compound interest used.
Periodic Compounding - Under this method, the interest rate is applied at intervals and generated. This interest is added to the principal. Periods here would mean annually, bi-annually, monthly, or weekly.
Continuous Compounding - This method uses a natural log-based formula and calculates interest at the smallest possible interval. This interest is added back to the principal. This can be equalled to the constant rate of growth for all natural growth. This figure was born out of physics. It uses Euler’s number which is a famous irrational number which is known to more than 1 trillion digits of accuracy. Euler’s number is denominated by the letter “E”.
Periodic Compound Interest Formula Overview
There are two formulas you can use to calculate compound interest, depending on what result you wish to find out. You can find out the following:
The total value of the deposit.
The total compound interest earned.
Value of the Deposit
Formulas can be a deterrent to many. If you aren’t savvy with math, your eyes turn away from these codes or just skip them altogether. But once it’s explained, it’s pretty simple to understand. To calculate the total value of your deposit, the formula is as follows:
P (1+ i/n)nt
P = Principal invested.
i = Nominal Rate of Interest.
n = Compounding Frequency or number of compounding periods in a year.
t = Time, meaning the length of time the interest is applicable, generally in years.
Simply put, you calculate the interest rate divided by the number of times in a year the compound interest is generated. For instance, if your bank compounds interest quarterly, there are 4 quarters in a year, so n = 4. This result must be multiplied to the power of the deposit period. For example, if your deposit is for 10 years, t = 10. This whole result should be multiplied by the principal you invested. The result generated will equal the total accumulated value of your deposit. You can find out how much your deposit is worth currently after accumulating interest.
Total Compound Interest Earned
To find out how much interest was earned, you can use the following formula for Compound Interest.
P[(1+ i/n))nt-1]
Compound Interest Equation and Calculation
To understand the compound interest equation further, we can break it down in simpler terms. If you decide to invest in a fixed deposit with compound interest, this is how you will earn interest every year.
Period Deposit Balance
Investment P
Year 1 P + iP
Year 2 (P+ iP) + i(P+iP)
To collapse this formula, we can pull out factors of (1+i). Simply substitute iP with (1+i) to get the following:
Period Deposit Balance
PLEASE HELP- The time it takes for an object to follow certain distance can be calculated using the equation t=√2d/g where d represents distance and g represents the force of gravity on the object write the eqtion as a function of the distance and use 9.81 meters per second squared as the force of gravity calculate the distance the object will fall in 3 seconds label your answer.
Answers
Answer:
d= 44.145 m (meters)
Step-by-step explanation:
distance = (g*t²)/2
t=3 sec. d=? , g=9.81 m/s²
distance (d)=9.81*(3)²/2
d= 44.145 m
Interpolate the following data set with Van der Mond interpolation (
P
2
(x)=a
o
+a
1
x+a
2
x
2
)
x
i
∣1.0∣2.0∣3.0
y
i
∣−1.7∣−21.9∣−56.5
The coefficient a
0
is (give the answer with 2 significant figures) Answer: Question 18 Not yet answered Marked out of 1.00 Flag question The coefficient a
1
is (give the answer with 2 significant figures) Answer: Question 19 Not yet answered Marked out of 1.00 Flag question The coefficient a
2
is (give the answer with 2 significant figures) Answer:
Answers
The coefficient a₀ is approximately -2.2, the coefficient a₁ is approximately -21.6, and the coefficient a₂ is approximately -15.7.
Van der Mond interpolation is a method used to approximate a function based on a given set of data points. In this case, we are given three data points with their corresponding x and y values. The goal is to find the coefficients a₀, a₁, and a₂ in the polynomial equation P₂(x) = a₀ + a₁x + a₂x² that best fits the given data.
To solve for the coefficients, we can set up a system of linear equations using the data points. Plugging in the x and y values, we get:
a₀ + a₁(1.0) + a₂(1.0)² = -1.7 ... (Equation 1)
a₀ + a₁(2.0) + a₂(2.0)² = -21.9 ... (Equation 2)
a₀ + a₁(3.0) + a₂(3.0)² = -56.5 ... (Equation 3)
Solving this system of equations will give us the values of a₀, a₁, and a₂. By using numerical methods or matrix algebra, we can find that a₀ ≈ -2.2, a₁ ≈ -21.6, and a₂ ≈ -15.7.
Van der Mond interpolation is a technique used to estimate a polynomial function that closely fits a given set of data points. In this case, we have three data points with their respective x and y values: (1.0, -1.7), (2.0, -21.9), and (3.0, -56.5). Our task is to determine the coefficients a₀, a₁, and a₂ in the polynomial equation P₂(x) = a₀ + a₁x + a₂x² that provides the best approximation for the given data.
To find the coefficients, we set up a system of linear equations using the three data points. By substituting the x and y values into the polynomial equation, we obtain:
a₀ + a₁(1.0) + a₂(1.0)² = -1.7 ... (Equation 1)
a₀ + a₁(2.0) + a₂(2.0)² = -21.9 ... (Equation 2)
a₀ + a₁(3.0) + a₂(3.0)² = -56.5 ... (Equation 3)
By solving this system of equations, we can determine the values of a₀, a₁, and a₂ that satisfy all three equations simultaneously. This can be achieved using numerical methods or matrix algebra techniques. In this case, the calculated coefficients are approximately a₀ ≈ -2.2, a₁ ≈ -21.6, and a₂ ≈ -15.7.
These coefficients represent the parameters of the polynomial function that best fits the given data points. With these values, we can now construct the polynomial equation P₂(x) = -2.2 - 21.6x - 15.7x², which provides an interpolated estimate for the data set.
Overall, Van der Mond interpolation allows us to determine the coefficients of a polynomial equation that closely approximates a given set of data points. By solving a system of equations, we find that the coefficients for this particular data set are approximately a₀ = -2.2, a₁ = -21.6, and a₂ = -15.7.
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Big Bob is currently 18 years old and weighs 205lbs. Every year he plans on gaining 8lbs. Using the expression from the previous problem (250+ 8y) how much will he weigh when he is 24 years old?
Answers
Answer:he will weigh 298lbs when he is 24 years old
Step-by-step explanation:
24-18=6 so y =6 plug this into problem (250 +(8x6))
8x6=48 (250=48)=298
Which one of the following statements is incorrect?
a. If we reject the null hypothesis, we conclude that there is enough statistical evidence to infer that the alternative hypothesis is true.
b. In conducting a hypothesis test about the population proportion p, the test statistic is z.
c. Consider the following hypotheses: H0: p≤0.3 against H1: p>0.3. This requires a one-tailed test because the alternative hypothesis has a greater than sign.
d. In conducting a hypothesis test about the population mean μ, if the population is truly or approximately normally distributed with σ unknown then the test statistic is z, corresponding to the normal distribution.
e. If we do not reject the null hypothesis, we conclude that there is not enough statistical evidence to infer that the alternative hypothesis is true.
Answers
The incorrect statement is "In conducting a hypothesis test about the population mean μ, if the population is truly or approximately normally distributed with σ unknown then the test statistic is z, corresponding to the normal distribution." Therefore, option (d) is an incorrect statement.
A statistical hypothesis in which there is no relationship between two variables (or a set of variables) is called a null hypothesis.
A statistical hypothesis that states that there is a significant two variable (or set of variables) is called an Alternative Hypothesis.
A test statistic is a statistic used in statistical hypothesis testing.
A hypothesis test is typically specified in terms of a test statistic.
The statement in option (a) is correct, that is, if we reject the null hypothesis, we conclude that there is enough statistical evidence to infer that the alternative hypothesis is true.
The statement in option (b) is correct, that is, in conducting a hypothesis test about the population proportion p, the test statistic is z.
The statement in option (c) is correct, that is, consider the following hypotheses:
H0: p≤0.3 against H1: p>0.3.
This requires a one-tailed test because the alternative hypothesis has a greater than sign.
The statement in option (d) is incorrect. In conducting a hypothesis test about the population mean μ, if the population is truly or approximately normally distributed with σ unknown, then the test statistic is t, not z. The t-distribution is used when the population standard deviation (σ) is unknown.
The statement in option (e) is correct, that is, if we do not reject the null hypothesis, we conclude that there is not enough statistical evidence to infer that the alternative hypothesis is true.
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The statement that is incorrect is (d).
In conducting a hypothesis test about the population mean μ, if the population is truly or approximately normally distributed with σ unknown, the test statistic is t, corresponding to the Student's t-distribution, not z-distribution. The z-test is used when the population standard deviation is known.
The statement in option (a) is correct, that is, if we reject the null hypothesis, we conclude that there is enough statistical evidence to infer that the alternative hypothesis is true.
The statement in option (b) is correct, that is, in conducting a hypothesis test about the population proportion p, the test statistic is z.
The statement in option (c) is correct, that is, consider the following hypotheses:
H0: p≤0.3 against H1: p>0.3.
This requires a one-tailed test because the alternative hypothesis has a greater than sign.
The statement in option (d) is incorrect. In conducting a hypothesis test about the population mean μ, if the population is truly or approximately normally distributed with σ unknown, then the test statistic is t, not z. The t-distribution is used when the population standard deviation (σ) is unknown.
The statement in option (e) is correct, that is, if we do not reject the null hypothesis, we conclude that there is not enough statistical evidence to infer that the alternative hypothesis is true.
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the ratio of dog to cats in the shelter was 4 to 6 if there were 12 cats how many dogs would there be
Answers
Answer:
8 dogs
Step-by-step explanation:
If there were 6 cats, there would be 4 dogs. Since there is double that amount of cats, then we just double the amount of dogs from 4 to 8, our final answer.
I would appreciate Brainliest but no worries.
Consider the linear expression.
32a - 1 - 4 1/3a + 7 - a
(a) What are the like terms in the expression?
(b) Simplify the linear expression.
Answers
Answer:
a. The phrases 3.2a, -413a, and -a, as well as -1 and 7, are similar.
b. The simplified linear expression is: -2.1a + 6.
a. 3.2a - 1 - 413a + 7 - an is a linear expression, and the following are like terms that also appear in the expression:
Due to the shared variable, 3.2a, -413a, and -a are similar phrases.
Given that they are constants, -1 and 7 are similar expressions.
b. Merge the terms that are similar to make the linear expression 3.2a - 1 - 413a + 7 - a simpler:
3.2a - 4⅓a - a - 1 + 7
3.2a - 4.3a - a - 1 + 7
-2.1a + 6
Step-by-step explanation:
I'm also in k12 hope this helps!
Someone please help me with this word problem no links!
Answers
Answer:
for 6 weeks 15 + 15 + 15 + 15 + 15 + 15 = 90
for 10 weeks = 150
for 14 weeks = 210
Step-by-step explanation:
i did 15 because they said tripling it every week so 5 x 3 = 15 for 1 week now 15 x 6 = 90 and so on...
hope this helps
a bread slicer runs 29 hrs per day for 30 days and slices 144,000 loaves of bread. how many loaves per hr are sliced?
conversions
Answers
Is it 4965 sph (slices per hour)
qs and tv are parallel lines
Answers
angle vuw and angle sru
explanation:
corresponding angles
Solve for x in the diagram below
Answers
4. arthritis is a painful, chronic inflammation of the joints. an experiment on the side effects of pain relievers examined arthritis patients to find the proportion of patients who suffer side effects when using ibuprofen to relieve the pain. if more than 3% of users suffer side effects, the food and drug administration will put a stronger warning label on packages of ibuprofen. a researcher found that 23 of the 440 subjects with chronic arthritis, who were given ibuprofen, suffered from adverse side effects. at the 1% level of significance, what can you conclude? should the food and drug administration put a stronger warning label on packages of ibuprofen?
Answers
The Food and Drug Administration should put a stronger warning label on packages of ibuprofen.
To determine whether this proportion of 23 out of 440 users suffered from side effects, it is significant that a hypothesis test can be conducted.
The null hypothesis would be that the proportion of arthritis patients who suffer side effects when using ibuprofen is less than or equal to 3%, while the alternative hypothesis would be that the proportion is greater than 3%.
Using a one-tailed z-test with a significance level of 1%, the calculated z-score is 2.32. This falls in the rejection region, meaning that the null hypothesis can be rejected in favor of the alternative hypothesis.
Therefore, it can be concluded that more than 3% of arthritis patients suffer side effects when using ibuprofen to relieve the pain. As a result, the Food and Drug Administration should put a stronger warning label on packages of ibuprofen.
It is important for patients to be aware of the potential side effects and risks associated with this medication.
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Select the correct answer from each drop-down menu. interpret the histogram of gretchen’s data you created in part a. the shape of gretchen’s data can be described as . because of this, the would be the best measure of center for this data set. the actual value for the best measure of center is .
Answers
The shape of Gretchen's data can be described as skewed left.
Because of this, the median is the best measure of the center for this data set.
The actual value for the best measure of center is 9.
We have,
From the histogram of Gretchen's data given,
We see that the shape is left skewed.
In a histogram, left-skewed data refers to a distribution where the tail of the data points extends towards the left side of the graph.
This means that the majority of the data points are concentrated toward the right side of the histogram, and the tail on the left side is longer and thinner.
The median is the mid value of the data set and it is 9 and it is the best measure.
Therefore,
The shape of Gretchen's data can be described as skewed left.
Because of this, the median is the best measure of the center for this data set.
The actual value for the best measure of center is 9.
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The complete question:
The shape of Gretchen's data can be described as ___.
Because of this, the ___ is the best measure of center for this data set.
The actual value for the best measure of center is ___.
Fill in the blanks from the options below.
1st blank: (Skewed left), (Skewed right), (symmetrical)
2nd blank: (mean), (median)
3rd blank: (7), (9), (9.1), (9.6)
If the minimum perimeter of a quadrilateral is 200cm, what is the maximum area of the quadrilateral
guesses will be reported
first correct answer gets brainliest <3
Answers
The maximum area of the quadrilateral is achieved when it is a square with a side length of 50cm, resulting in an area of 2500cm².
This is because a square has equal sides and equal angles,
resulting in the most efficient use of the perimeter to enclose the maximum area.
To see why, consider a rectangle with a perimeter of 200cm.
If the rectangle is long and thin, with one side much longer than the others,
then it will have a smaller area than a square with the same perimeter.
This is because the longer sides of the rectangle will be less effective at enclosing area than the shorter sides.
Hence, The maximum area of a quadrilateral with a minimum perimeter of 200cm is achieved when the quadrilateral is a square.
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Write a linear function f with f(0) = 7 and f(3)=1.
f(x) =
Answers
The Linear function is given by , f(x) = 2x+7
Since the functions is linear so let the function be f(x) = ax+b
where a, b are the constants.
Given that,
f(0) = 7
b = 7
Also it is given is,
f(3) = 1
3a+b = 1
3a+7 = 1
3a = 6
a = 6/3
a = 2
Hence the function is, f(x) = 2x+7
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These contrasting trends in the open deep water and the shallows of the littoral zone led strayer's team to propose hypotheses and predictions about fish populations in the hudson
Answers
The contrasting trends observed by Strayer's team in the open deep water and the shallows of the littoral zone in the Hudson River led them to propose hypotheses and predictions about fish populations.
The specific details of these hypotheses and predictions are not mentioned in the given statement. However, based on the contrasting trends, the team may have speculated about factors influencing fish distribution, abundance, or species composition in different habitats within the river. These hypotheses and predictions likely serve as a basis for further research and investigation into understanding the dynamics of fish populations in the Hudson River.
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How much flour is used in 4 batches of cookies?
Answers
the time it takes to edit a successful resume is normally distributed with a population standard deviation of 8 minutes and an unknown population mean. a random sample of 25 resume editors is taken and results in a sample mean of 58 minutes. identify the parameters needed to calculate a confidence interval at the 99% confidence level. then use a calculator to find the confidence interval. round the final answer to two decimal places. provide your answer below: $\overline{x}\
Answers
The parameters needed to calculate a confidence interval at the 99% confidence level are the sample mean ($\overline{x}$), the population standard deviation ($\sigma$), the sample size ($n$), and the confidence level ($1-\alpha$).
In this case, we are given that $\sigma = 8$ minutes, $n=25$, and $1-\alpha = 0.99$. We also know that the sample mean is $\overline{x} = 58$ minutes.
To find the confidence interval, we first need to find the critical value for a 99% confidence level. Using a t-distribution with $n-1=24$ degrees of freedom, we can find this value using a t-table or a calculator. For a 99% confidence level, the critical value is approximately 2.797.
Next, we can use the formula for a confidence interval for a population mean:
$\overline{x} \pm t_{\alpha/2}\frac{\sigma}{\sqrt{n}}$
Plugging in our values, we get:
$58 \pm 2.797\cdot \frac{8}{\sqrt{25}}$
Simplifying this expression, we get:
$58 \pm 5.58$
So the confidence interval is:
$(52.42, 63.58)$
Rounded to two decimal places, the confidence interval is:
$(52.42, 63.58)$
To calculate the 99% confidence interval for the time it takes to edit a successful resume, we'll need the following parameters:
1. Sample mean (x) = 58 minutes
2. Population standard deviation (σ) = 8 minutes
3. Sample size (n) = 25 resume editors
4. Confidence level (CL) = 99%
Now, we need to find the critical value (z*) for a 99% confidence level. Using a standard normal (z) table or calculator, we find that z* ≈ 2.576.
Next, we'll use the formula for the confidence interval:
CI =x ± z*(σ/√n)
CI = 58 ± 2.576*(8/√25)
CI = 58 ± 4.12
So, the 99% confidence interval is (53.88, 62.12). This means we can be 99% confident that the true population mean for the time it takes to edit a successful resume lies between 53.88 and 62.12 minutes.
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If f(x) = x-5, ther match each of the following.
4
1 f(-1)
-6
2. f(0)
3. f(1)
-3
4. f(2)
3
5. f(5)
-5
6. f(8)
0
Answers
Answer:
1. f(-1) = -6
2. f(0) = -5
3. f(1) = -4
4. f(2) = -3
5. f(5) = 0
6. f(8) = 3
Step-by-step explanation:
1. f(-1)=-1-5=6
substitute the x value into the equation.
2. f(0)=0-5=-5
3. f(1)=1-5=-4
4.f(2)=2-5=-3
5. f(5)=5-5=0
6. f(8)=8-5=3
If i get the 10 per moth would that give me all the answers
Answers
What is the domain of: f(x) = 8x
Answers
The domain of a function is the set of input or argument values for which the function is real and defined
The function has no undefined points nor domain constraints. Therefore, the domain is
Sorry I keep writing out “infinity” I don’t know how to input the symbol
1 2 3 4 5 6 7 8 9 10 Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of the rectangular garden that she creates if one side is x feet long
Answers
Answer:
\(Area = 60x - x^2\)
Step-by-step explanation:
Given
\(Perimeter = 120\)
\(Side\ 1 = x\)
Required
The area of the garden
First, we calculate the length of the other side using:
\(Perimeter = 2 *(Side\ 1 + Side\ 2)\)
This gives:
\(120 = 2 *(x + Side\ 2)\)
Divide both sides by 2
\(60 = x + Side\ 2\)
Make Side 2 the subject
\(Side\ 2 = 60 - x\)
So, the area of the garden is:
\(Area = Side\ 1 * Side\ 2\)
\(Area = x * (60 - x)\)
Expand
\(Area = 60x - x^2\)
the length of time patients must wait to see a doctor in a local clinic is uniformly distributed between 25 minutes and 73 minutes. what is the standard deviation of wait time? group of answer choices
Answers
The standard deviation of wait time is 13.8564.
The length of time patients must wait to see a doctor in a local clinic is uniformly distributed between 25 minutes and 73 minutes. We have to find the standard deviation of the wait time.
The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution is its standard deviation. The standard deviation in statistics is a measure of the degree of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
S² = (73 - 25)²/12
S² = (48)²/12
S² = 192
S = √192
S = 13.8564
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2. Write the equation of the line in slope-intercept form given the following:b= -4, m=1/5
Answers
Slope means inclination of the line
Intercept means the point where the line cuts the y axis
general form of the quation is
y= mx + b. Here m is the slope(inclination) , and b is intercept
then replace m=1/5. b=-4
y=(1/5)x + (-4) = (1/5)x -4
what are all the values of c that will make x^2 cx 121 a perfect square ?
Answers
Answer:
c = -22, 22
Step-by-step explanation:
\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)
\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)
A student takes an exam containing 17 true or false questions. At least 11 correct answers are required to pass. If the student guesses, what is the probability that he will fail
Answers
The probability that the student will fail, given that he guesses the answers, is 0.227.
Since there are only two possible outcomes for each question (true or false),
the probability of guessing a correct answer is 1/2 = 0.5.
Likewise, the probability of guessing a wrong answer is also 1/2 = 0.5.
To find the probability of failing the exam,
we need to find the probability of answering less than 11 questions correctly.
Using the binomial probability formula,
the probability of getting k successes (correct answers) in n trials (questions) is given by:
P(k) = (n C k) * p^k * q^(n-k)
where p is the probability of success (getting a correct answer),
q is the probability of failure (getting a wrong answer), and (n C k) is the number of combinations of n things taken k at a time.
In this case,
n = 17, p = 0.5, and
q = 0.5.
The number of ways to get less than 11 correct answers is:
P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)P(X = k) = (n C k) * p^k * q^(n-k)
Substituting the values:
P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)
P(X = 0) = (17 C 0) * (0.5)^0 * (0.5)^17 = 0.0015
P(X = 1) = (17 C 1) * (0.5)^1 * (0.5)^16 = 0.0146
P(X = 2) = (17 C 2) * (0.5)^2 * (0.5)^15 = 0.0586
P(X = 3) = (17 C 3) * (0.5)^3 * (0.5)^14 = 0.1558
P(X = 4) = (17 C 4) * (0.5)^4 * (0.5)^13 = 0.268
P(X = 5) = (17 C 5) * (0.5)^5 * (0.5)^12 = 0.327
P(X = 6) = (17 C 6) * (0.5)^6 * (0.5)^11 = 0.2732
P(X = 7) = (17 C 7) * (0.5)^7 * (0.5)^10 = 0.1537
P(X = 8) = (17 C 8) * (0.5)^8 * (0.5)^9 = 0.0573
P(X = 9) = (17 C 9) * (0.5)^9 * (0.5)^8 = 0.013
P(X = 10) = (17 C 10) * (0.5)^10 * (0.5)^7 = 0.0015
Therefore, P(X < 11) = 0.0015 + 0.0146 + 0.0586 + 0.1558 + 0.268 + 0.327 + 0.2732 + 0.1537 + 0.0573 + 0.013 + 0.0015P(X < 11) = 0.8857
Thus, the probability of failing is: P(fail) = P(X < 11) = 0.8857
The probability that the student will fail, given that he guesses the answers, is 0.227 (rounded to three decimal places).
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