Answer:
-2
Step-by-step explanation:
The floor function returns the largest integer not greater than the function's argument. The largest integer less than or equal to -1.1 is -2.
pls help me show all your workings
Answer:
1)I don't know
2)-2
Step-by-step explanation:
2)6-5(1/1/x)= 2
6-5(1/1)-x= 2
6-6-x=2
-x/-1=2/-1
x= -2
In 2015, about one in seven people with flexible health care spending accounts did not use all their account and therefore lost (or forfeited) an average of $723. Suppose a random sample of 150 people who did not use all their funds is taken in 2019 and the average amount lost was $683. Test the hypothesis that there is no significant difference in the average amount forfeited. Assume that o = $307 per year. Use a = 0.05. a. Define the parameter. Use the proper symbol for the parameter. b. State the null and alternative hypotheses in terms of the parameter of interest. H, : H:
A random sample of 150 such people was taken in 2019, and the average amount lost was $683. The population standard deviation is given as $307 per year, and the significance level is set at 0.05.
The parameter of interest in this problem is the population mean amount forfeited by people with flexible health care spending accounts who do not use all their funds. This is denoted by the symbol μ.
The null hypothesis for this problem is that there is no significant difference between the population mean amount forfeited in 2015 (μ2015) and the population mean amount forfeited in 2019 (μ2019).
The alternative hypothesis is that there is a significant difference between the two population means, with the direction of the difference left unspecified. Symbolically, this can be expressed as:
H0: μ2015 = μ2019
Ha: μ2015 ≠ μ2019
To test this hypothesis, we can use a two-sample t-test, with the sample mean, sample standard deviation, and sample size from the 2019 data, and the population standard deviation from the problem statement. We can calculate the t-value using the formula: t = (X'2019 - X'2015) / (s / √n)
where X'2019 is the sample mean from 2019, X'2015 is the population mean from 2015, s is the sample standard deviation from 2019, and n is the sample size from 2019. We can then use this t-value and the degrees of freedom (n-1) to calculate the p-value from a t-distribution table.
If the p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is a significant difference between the population mean amount forfeited in 2015 and 2019.
If the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that there is no significant difference between the population means.
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"Complete Question"
In 2015, about one in seven people with flexible health care spending accounts did not use all their account and therefore lost (or forfeited) an average of $723. Suppose a random sample of 150 people who did not use all their funds is taken in 2019 and the average amount lost was $683. Test the hypothesis that there is no significant difference in the average amount forfeited.
Assume that o = $307 per year. Use a = 0.05. a. Define the parameter. Use the proper symbol for the parameter. b. State the null and alternative hypotheses in terms of the parameter of interest. H, : H: c. Specify the test statistic (z or t) and its critical value. Shade the critical (or rejection) region for the test (show all these on the diagram below). ~ d. Carry out the hypothesis test using both the classical approach and the p-value approach. State your decision about H, and conclusion about H.
What is the definition of no solution?
Answer:
No solution would mean that there is no answer to the equation.
Step-by-step explanation:
It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.
There is no answer to that problem. There is either a critical error in the problem, or it's just impossible to calculate. For example, x/0 is literally nothing. You can't solve it.
answer these question
SOLVE these
1.(5x + 3 = x + 11)
2.(7x - 2 = 5x +14)
3.(18x - 15 - 12x + 16)
4.(9x - 19 = 2x - 5)
Answer:
x =2x = 8 x= 5.1667x =2Step-by-step explanation:
I hope it helps
Emily makes cylindrical bars of soap to sell online. Each bar has a radius of 3.5 cm and a length of 4 cm. Each bar is wrapped in plastic before shipping. In terms of π, how much plastic will Emily need to ship 20 bars of soap?
A) 52.5π cm2
B) 110π cm2
C) 1050π cm2
D) 1075π cm2
Answer:
C) 1050π cm²
Step-by-step explanation:
Surface area of a cylinder = 2πrh + 2πr²
radius, r = 3.5cm
Height, h = 4 cm
Surface area of a cylinder = 2πrh + 2πr²
= 2 * π * 3.5 * 4 + 2 * π * 3.5²
= 28π + 2π * 12.25
= 28π + 24.5π
= 52.5π cm²
Surface area of a cylinder = 52.5π cm
There are 20 bars of soap
Total plastic Emily needs for 20 bars of soap = surface area of each soap × 20
= 52.5π cm² × 20
= 1,050π cm²
Problem 6-29 A quality-control inspector is testing sample outputfrom a production process for widgets wherein 98% of the items aresatisfactory (S) and 2% are unsatisfactory (U). Three widgets arechosen randomly for inspection. The successive quality events maybe assumed independent.Find the probabilities for the following numbers of unsatisfactoryitems:(1) Pr(none)=(2) Pr(exactly 2)= (3) Pr(at least 1)= (4) Pr(exactly 1)= (5) Pr(exactly 3)= (6) Pr(at most 2)=
Answer:
(1) Pr(none)= .71
(2) Pr(exactly 2)= .0154
(3) Pr(at least 1)= .29
(4) Pr(exactly 1)= .271
(5) Pr(exactly 3)= .000275
(6) Pr(at most 2)= .99
Bolded answers might be wrong, I am a bit unsure on those ones
Coplanar circles that intersect in one point are called.
Answer:
Tangent circles
Step-by-step explanation:
Tangent circles are coplanar circles that intersect in one point.
Hope this helps :)
Have a nice day!
Help me ASAP!!!!!!!!!
See picture attached.
Good Luck
xsd
Step-bddy-step explanatison:
xddAnswer:ddsd
Find equivalent equations Of 3+2x-9-4 X +11+ 5x- X
The required expression is 2x + 5 that equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x.
What are Equivalent Expressions?The expressions that have identical values are called to be equivalent expressions.
The expression is given in the question following as:
⇒ 3 + 2x − 9 − 4x + 11 + 5x − x
We have to determine the equivalent expression to the given expression
As per the question, we have
⇒ 3 + 2x − 9 − 4x + 11 + 5x − x
Combine the like terms together in the above expression,
⇒ 2x - 4x + 5x - x + 3 - 9 + 11
⇒ 2x + 5
Thus, the required expression is 2x + 5 that equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x.
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28.70 divided by 5 times7
Answer:
the answer is 40.18
hope this helps!
Answer:
40.18
Step-by-step explanation:
First, divide 28.70 by 5:
28.70÷5=5.74
Now multiply 5.74 by 7:
5.74×7= 40.18
The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds
and the number of men weighing less
Rom the data we can conclude that the number of men weighing more than 165 pounds is about
man 135 pounds is about
From the data we can conclude that the number of men weighing more than 165 pounds is about 0.3413 and man 135 pounds is about 0.3413.
What is normal distribution?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Given that, the weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds.
According to the topic, let's all the mean u and the standard deviation is σ
So, u=150 and σ=15
So, P(x>165)=P(x>150+15)
= 1/2 (150-15<x<150+15)
= 1/2 ×0.6826
= 0.3413
P(x>135)=P(x>150-15)
= 1/2 (150-15<x<150+15)
= 1/2 ×0.6826
= 0.3413
Therefore, from the data we can conclude that the number of men weighing more than 165 pounds is about 0.3413 and man 135 pounds is about 0.3413.
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Answer: Both boxes is 160
Step-by-step explanation: Edmentum / Plato
Can anyone help please
Help me please ......
-64,-47,-30,-13 arithmetic or geometric or neither.
Answer:
Arithmetic
Step-by-step explanation:
Given sequence
-64,-47,-30,-13We can observe it is increasing sequence
The rate of increase is linear and equal to 17
Therefore it is an arithmetic progression
-64,-47,-30,-13 is arithmetic .
\( \huge \red {explanation}\)
this is arithmetic progression because ;
it is a increasing sequence the rate of increase is linear and equal to 17 . so, the required answer is arithmetic .I pull the throttle in my racing plane at a = 12.0 m/s2. i was originally flying at v = 100. m/s. where am i when t = 2.0, t = 5.0, and t=10.0?
The distance covered by plane when t = 2s will be 176m and when t = 5s will be 350m and when t = 10s will be 400m found using equation of motion.
We have,
Acceleration of plane i.e. a = 12 m/s²
And,
Velocity of plane i.e. v = 100 m/s
And,
t₁ = 2s
t₂ = 5s
t₃ = 10s
So,
Now,
Using the equation of motion,
i.e.
S = vt - \(\frac{1}{2}\) at²
Here,
S = Distance,
v = initial velocity,
a = acceleration
t = time taken
Now,
For t₁ = 2s,
Putting values in above equation we get,
S = (100 * 2) - (\(\frac{1}{2}\) * 12 * 2²)
On solving we get,
S = 200 - 24 = 176 m,
So,
Plane will be at 176m distance.
Now,
For t₂ = 5s,
Putting values in above equation we get,
S = (100 * 5) - (\(\frac{1}{2}\) * 12 * 5²)
On solving we get,
S = 500 - 150 = 350 m,
So,
Plane will be at 350m distance.
Now,
For t₃ = 10s,
Putting values in above equation we get,
S = (100 * 10) - (\(\frac{1}{2}\) * 12 * 10²)
On solving we get,
S = 1000 - 600 = 400 m,
So,
Plane will be at 400m distance.
Hence, we can say that the distance covered by plane when t = 2s will be 176m and when t = 5s will be 350m and when t = 10s will be 400m found using equation of motion.
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The length of a rectangle l is 4 units longer than its width. What is the area of the rectangle?
Answer:
Assuming you are looking for an expression to represent the area of the rectangle, as you didn't provide any values for the length or width, the area of the rectangle is \(x^{2} +4x\) \(un^{2} .\)
Step-by-step explanation:
The formula for the area of a rectangle is \(a=lw\), where \(l\) represents the length of the rectangle, and \(w\) represents the width. We are given that the length of the rectangle is 4 units longer than its width, so we can set the width to be represented by the variable \(x\), and we get that the length and width are \(x+4\) and \(x\) respectively. As we are trying to find the area of the rectangle, we have to multiply the length and width of the rectangle together, which then we will get that the area of the rectangle is \(x(x+4)=x^{2} +4x\) \(un^2.\)
If your teacher or whatever website you're using requires a specific variable, you can just replace the \(x\) in the expression to whatever you need.
Have a great day! Feel free to let me know if you have any more questions :)
The list shows the weights of several puppies in pounds 5.2, 6.2, 6 ,5.8, 5.2, 6.7, 8.33, 5.35 What is the median weight in pounds?
Answer:
6.1
Step-by-step explanation:
Add all, then divide by 8
Tell me if it works
Can anyone help me with this math equation?
Answer:
yes I can help you. the answer to the problem is 4/35.
Step-by-step explanation:
1. convert any mixed number into fractions.
your equation becomes 4/7÷5/1. this equals 4×1 over 7×5. multiply normally and your result is 4/35
the hour hand of a clock is 6 inches long and the minute hand is 8 inches long. what is the ratio of the distance in inches traveled by the tip of the hour hand to the distance in inches traveled by the tip of the minute hand from noon to 3 p.m.? express your answer as a common fraction.
The ratio of the distance traveled by the tip of the hour hand to the distance traveled by the tip of the minute hand from noon to 3 p.m. is (12π)/(16π), which simplifies to 3/4.
To find the ratio of the distance traveled by the tip of the hour hand to the distance traveled by the tip of the minute hand from noon to 3 p.m., we need to consider their respective speeds.
The hour hand takes 12 hours to complete a full revolution around the clock, while the minute hand takes 60 minutes to complete a full revolution.
From noon to 3 p.m., the hour hand moves a quarter of a circle, which corresponds to 3 hours on the clock. The distance traveled by the tip of the hour hand is given by the circumference of a circle with a radius of 6 inches, which is 2π × 6 = 12π inches.
During the same period, the minute hand moves a three-quarter circle, corresponding to 180 minutes. The distance traveled by the tip of the minute hand is the circumference of a circle with a radius of 8 inches, which is 2π × 8 = 16π inches.
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If there are 52 calories in one chicken nugget and 39 calories in one waffle fry, write an expression to represent the total number of calories consumed if you eat c chicken nuggets and w waffle fries. Next, find out total number of calories consumed if you ate 5 chicken nuggets and 10 waffle fries.
Multiply calories per nugget by number of nuggets and add to calories per waffle multiplied by number of waffles:
Total calories = 52c + 39w
Now replace the variables with the quantities and find total calories:
Total = 52(5) + 39(10)
Total = 260 + 390
Total = 650 calories
Below the functions h(x) and g(x) are graphed. At which values of x is it true that h(x)>g(x)? Select all that apply.
A. 10
B. 25
C. 4
D. 31
We observed Function h(x) is greater than function g(x) for all values of x.
what is function?A mathematical expression represents the relationship between independent variables and dependent variables.
What does graph of function represent?when we plot the domain and ranges of a function in the XY coordinate, we get a collection of points. In the next, we join the coordinate to obtain
line, curves and so on based on the expression of function.
From the graph given in question, we observed that h(x) is greater than g(x) because the domain and ranges of h(x) is greater than g(x).
If we compare for each value of x, we observe that h(x) is always bigger than g(x)
hence, function h(x) is > function g(x) for any values of x
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Determine whether these are valid arguments.a) If x is a positive real number, then x² is a positive real number. Therefore, if a² is positive, where a is a real number, then a is a positive real number.b) If x² ≠ 0, where x is a real number, then x ≠ 0. Let a be a real number with a² ≠ 0; then a ≠ 0.
The given argument is " If x is a positive real number, then x² is a positive real number." is invalid. Because if a² is positive, it is not always true that a is a positive real number. The given argument is " If x² ≠ 0, where x is a real number, then x ≠ 0. Let a be a real number with a² ≠ 0; then a ≠ 0." is valid argument. Because if a is real number so a² is also a real number.
If x is a positive real number, then x² is a positive real number. Therefore, if a² is positive, where a is a real number, then a is a positive real number. This is an invalid argument. The premise states that if x is a positive real number, then x² is a positive real number, which is true. However, the conclusion that if a² is positive, then a is a positive real number does not necessarily follow from the premise. For example, if a is -2, then a² is positive, but a is not a positive real number.
If x² ≠ 0, where x is a real number, then x ≠ 0. Let a be a real number with a² ≠ 0; then a ≠ 0. This is a valid argument. The premise states that if x² ≠ 0, then x ≠ 0, which is true since the only way for x² to be equal to zero is if x is equal to zero. The conclusion that if a² ≠ 0, then a ≠ 0 follows logically from the premise, since a is a real number and the same logic applies to a² as to x².
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show that among any group of five (not necessarily consecutive) integers, there are two with the same remainder when divided by 4. (Hinpigeonhole principle)
Two of them have the same remaining. The proof using the pigeonhole principle is now complete.
When an integer is divided by 4, there are four potential remainders: 0, 1, 2, or 3. Take any set of five numbers as an example.
If at least three of them have the same remainder when divided by 4, then we are done, since two of them will have the same remainder. This is because if three integers have the same remainder, then we can subtract that remainder from all of them, and the resulting three integers will all be divisible by 4, which means that two of them will have the same remainder when divided by 4.
So suppose that at most two of the integers have the same remainder when divided by 4. Then there are at most two integers with remainder 0, at most two integers with remainder 1, at most two integers with remainder 2, and at most two integers with remainder 3. This means that there are at most 8 integers in total, which is a contradiction since we started with 5 integers. Therefore, there must be at least three integers with the same remainder when divided by 4, and hence there are two with the same remainder. This completes the proof by the pigeonhole principle.
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#8 Please answer the question
Answer:
22°
Step-by-step explanation:
angles in a triangle sum upto 180°
100+58+<b=180
<b=180-158
<b=22°
Data Set 20
$3.04 $7.07 $2.82 $3.03 $3.28 $4.91 $4.09 $5.49 $5.02 $4.15 $4.53 $3.06 $5.56 $6.08 $2.87 $4.56 $5.20 $2.48 $4.12 $3.55 $3.49 $6.24 $5.01 $2.43 $4.70 $2.31 $7.41 $7.09 $4.81 $6.62 From the data set of fuel prices above; · Find the mean and standard deviation for the data set. Please do not try to do this by hand, but use the functions in Excel. · Find the Confidence Interval for your data. Sample initial post: First find the mean and standard deviation.
Then put this in an excel cell =confidence.norm(0.5,stdev,samplesize) and hit enter. This is the E value. (Note: please use your standard deviation and sample size and not the words.)
Set up your confidence interval: (mean-E, mean+E)
Formula you used above for the confidence interval:
The formula is E= zsubc * sigma / sqrt n
Where the left hand endpoint is xbar - E and the right hand endpoint is xbar + E
The mean of the given fuel prices data set is $4.61 with a standard deviation of $1.62.
To calculate the mean and standard deviation in Excel, you can use the following functions:
Mean: The AVERAGE function calculates the mean of a range of values. In this case, enter "=AVERAGE(A1:A30)" in an Excel cell, assuming the data is in cells A1 to A30.
Standard Deviation: The STDEV.S function calculates the standard deviation of a range of values. Enter "=STDEV.S(A1:A30)" in an Excel cell to calculate the standard deviation of the data set.
Using the mean ($4.61) and standard deviation ($1.62), we can now proceed to calculate the Confidence Interval.
The Confidence Interval can be determined using the formula: E = Z * (σ / √n)
In the formula, Z is the z-score corresponding to the desired level of confidence (e.g., 95% confidence corresponds to a z-score of approximately 1.96), σ is the population standard deviation (which can be estimated using the sample standard deviation in this case), and n is the sample size.
Let's assume we want a 95% confidence interval for the data set with a sample size of 30. We can use the formula "=CONFIDENCE.NORM(0.05, STDEV, 30)" in an Excel cell to calculate the E value.
Substituting the values into the formula, we get E = 1.96 * (1.62 / √30) ≈ 0.595.
Now, we can set up the confidence interval using the mean and E value:
Confidence Interval = (mean - E, mean + E)
Confidence Interval = ($4.61 - $0.595, $4.61 + $0.595)
Confidence Interval = ($4.015, $5.205)
Therefore, the 95% Confidence Interval for the given fuel prices data set is approximately $4.015 to $5.205.
In summary, the mean of the fuel prices data set is $4.61 with a standard deviation of $1.62. The 95% Confidence Interval for the data is approximately $4.015 to $5.205.
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Question is in the pic I need a right answer asap
answer:
yes
the lines are parallel to each other!
explanation:
hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)
If P(A) = .46 and P(B) = .17 and P(A U B) = .63, then A and B are:
Select one:
a. mutually exclusive
b. collectively exhaustive
c. statistically independent
d. mutually exclusive and collectively exhaustive
e. none of the above/can’t be determined with info given
The answer is e. none of the above/can’t be determined with info given.
Based on the information given, we have:
P(A) = 0.46
P(B) = 0.17
P(A U B) = 0.63
Note that P(A U B) represents the probability of either event A or event B occurring, or both.
If events A and B are mutually exclusive, it means they cannot occur at the same time. In other words, if event A occurs, event B cannot occur, and vice versa. In this case, the probability of both events occurring would be zero.
On the other hand, if events A and B are collectively exhaustive, it means that together they account for all possible outcomes. In other words, either event A or event B (or both) must occur, and there are no other possibilities.
Using these definitions, we can see that events A and B are neither mutually exclusive nor collectively exhaustive. This is because the probability of both events occurring (i.e., the intersection of A and B) is not zero, which means they are not mutually exclusive. Additionally, the probability of either A or B occurring (i.e., the union of A and B) is not equal to one, which means they are not collectively exhaustive.
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Solve for x
x/5 + 1 = 7
Steps:
Step 1: Simplify both sides of the equation.
1 /5x+1=7
Step 2: Subtract 1 from both sides.
1/5x+1−1=7−1
1/5x=6
Step 3: Multiply both sides by 5.
5*(1/5x)=(5)*(6)
Description:
Since we are solving for x first steps is to Simplify both sides of the equation. Then subtract 1 from both sides. After that multiply both sides by 5 and you will get your answer. The correct answer for this question is x=30.
Answer: x=30
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Hope this helps.
The value of x from the given equation is 30.
The given equation is x/5 +1=7.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, x/5 +1=7
Transpose 1 to other side of the equation, we get
x/5 =7-1
x/5 = 6
Transpose 5 to other side of the equation, we get
x = 6×5
x = 30
Therefore, the value of x from the given equation is 30.
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2a + 6
what is the verbal expression for this is expression
Answer:
The sum of two times a number and six.
or
Two times a number plus six.
Step-by-step explanation:
Step 1: Convert 2a into words
2a = two times a number
Step 2: Convert + 6
+ 6 = the sum of 6 or plus 6
Step 3: Combine to make sentence
The sum of two times a number and six.
Two times a number plus six.
In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 74 of 100 urban residents favor the construction while only 70 of 125 suburban residents are in favor. Is there a significant difference between the proportions of urban and suburban residents who favor constructing nuclear plants
The p value for the difference is 0.005.
According to the statement
we have given that the 74 of 100 urban residents favor the construction while only 70 of 125 suburban residents are in favor.
And we have to find the difference between them in proportions.
So,
X1 = 74 represent the number of residents in a certain city and its suburbs who favor the construction of a nuclear power plant
X2 = 70 represent the number of people suburban residents are in favor
N1 = 100 sample 1 selected
N2 = 125 sample 2 selected
AND
P1 = 0.74 represent the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant
And P2 = 0.56 represent the proportion of suburban residents are in favor And z would represent the statistic (variable of interest)
Pv represent the value for the test (variable of interest)
Here we apply the Z test to find the difference then
Z = (0.74 - 0.56) / (0.64(1-0.64)(1/100+1/125) )^1/2
Now after solving
Z = 2.795.
Now The significance level provided is ,and we can calculate the p value for this test.
Since is a two tailed test the p value would be:
P = (z>2,795)
P = 0.005.
So, The p value for the difference is 0.005.
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