Below are the average test scores of two different math class periods. Test 1 Test 2 Test 3 Test 4 Test 5 Test 6 83 87 82 89 4th period 90 82 90 85 6th period 86 81 88 How do the median test scores of each class period compare? OA. The median test score of 4th period is equal to the median test score of 6th period. B. The median test score of 4th period is greater than the median test score of 6th period. C. The median test score of 6th period is greater than the median test score of 4th period. D. The median test score of 6th period is greater than the median test score of 4th
Answers
You need to understand that you're solving for the average, which you already know: 90.
Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
Solving for the average is simple
What is the average?Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X
(87 + 88 + 92 + X) / 4 = 90
Now you need to solve for X, the unknown
87+88+92+X4 /(4) = 90/ (4)
Multiplying for four on each side cancels out the fraction.
So now you have
87 + 88 + 92 + X = 360
This can be simplified as
267 + X = 360
Negating the 267 on each side will isolate the X value, and give you your final answer
X = 93
Now that you have an answer, ask yourself does it make sense.
I say that it does because there were two tests that were below average, and one that was just slightly above average.
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Answer:The median score of 6th period is greater than the median score of 4th period by 2 points
Step-by-step explanation: median calculator
Related Questions
Kendra and Ann shared 200 apples such that Kendra received 50 apples more than Ann I)calculate their share Ii)find the ratio of their share
pls help Asap
Answers
Step-by-step explanation:
this is the solution above
What will the accumulated amortization of Mila and Dante's $5,000 patent be after seven years, given a $250 amortized expense each year?
A. $1,750
B. $1,800
C. $1,850
D. $1,900
Answers
Answer:
The correct answer is option A ($1750)
hey can someone please help me asap
Answers
3rd one
Step-by-step explanation:
guys cmon i need the answerrrrr
Answers
Answer:
33. 72 cm²
Step-by-step explanation:
A= 1/2 x h x (b1+b2)
= 1/2 x 6 x (10+14)
= 1/2 x 6 x 24
= 6 x 12
A= 72 cm²
(btw thats the only one i know how to do, so sorry!)
Lead time for a given item is 3 weeks and sales have been recorded in 1 week intervals. If the Standard Deviation for the sales interval is 25 then the Standard Deviation for the lead time should be approximately:
Answers
The standard deviation for the lead time is approximately 12.5 weeks.
To find the standard deviation for the lead time, we need to consider the relationship between the sales interval and the lead time. In this scenario, the sales interval is recorded in 1-week intervals, and the lead time for the item is 3 weeks.
Since the standard deviation measures the variability or dispersion of a set of data, we can use the concept of the coefficient of variation (CV) to estimate the standard deviation for the lead time. The coefficient of variation is the ratio of the standard deviation to the mean.
In this case, the sales interval has a standard deviation of 25 and is recorded in 1-week intervals. The lead time is 3 weeks. To estimate the standard deviation for the lead time, we can use the formula:
Standard Deviation of Lead Time = Coefficient of Variation * Mean of Lead Time
To calculate the coefficient of variation, we divide the standard deviation of the sales interval by the mean of the sales interval:
Coefficient of Variation = Standard Deviation of Sales Interval / Mean of Sales Interval
Since the sales interval is recorded in 1-week intervals, the mean of the sales interval is also 1 week. Therefore, the coefficient of variation is:
Coefficient of Variation = 25 / 1 = 25
Now, we can calculate the standard deviation of the lead time:
Standard Deviation of Lead Time = 25 * 3 = 75
Thus, the standard deviation for the lead time is approximately 12.5 weeks.
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can you simplify (1/4a^8b^5)^2 make sure you simplify it by hand-drawing it :)
Answers
Answer:
\(\frac{1}{16} a^{16} b^{10}\)Step-by-step explanation:
\((\frac{1}{4} a^8b^5)^{2}\) =\((\frac{1}{4}) ^{2} a^{8*2} b^{5*2}\) =\(\frac{1}{16} a^{16} b^{10}\)So
\(\\ \rm\Rrightarrow (\dfrac{1}{4}a^4b^5)^2\)
\(\\ \rm\Rrightarrow 1/16a^{4×2}b^{5×2}\)
\(\\ \rm\Rrightarrow 1/16a^8b^{10}\)
Solve forx: -6 < x - 1 < 9
Answers
Answer:
-5< X <10
Step-by-step explanation:
-6+1 < x < 9+1
-5 < x < 10
Answer:
- 5 < x < 10
Step-by-step explanation:
Given
- 6 < x - 1 < 9 ( add 1 to all 3 intervals )
- 5 < x < 10
You are looking at -1 year loan of $1,016. If the quoted interest is 14% how much interest would accurate after the first year?
Answers
Answer:
\(1016 + 14\% = 1158.24\)
Step-by-step explanation:
1158.24
Which statement best describes the composition of most foods? They contain mixtures of the three energy nutrients, although only one or two may predominate. They contain only two of the three energy nutrients, and those two are contained in equal amounts. They contain equal amounts of the three energy nutrients, Most contain only one of the three energy nutrients, although a few contain all of them
Answers
The statement that best describes the composition of most foods is: "They contain mixtures of the three energy nutrients, although only one or two may predominate."
Most foods contain mixtures of the three energy nutrients, namely carbohydrates, proteins, and fats. However, the relative proportions of these nutrients can vary significantly from one food to another. In some foods, one or two of these nutrients may predominate, while others may contain relatively equal amounts of all three.
Carbohydrates are a primary source of energy for the body and can be found in various forms such as sugars, starches, and fibers. Foods like grains (e.g., rice, wheat, oats), fruits, vegetables, and legumes tend to be rich in carbohydrates. However, the specific types and amounts of carbohydrates can vary widely.
Proteins are crucial for building and repairing tissues, as well as for various metabolic functions. Foods like meat, poultry, fish, eggs, dairy products, legumes, nuts, and seeds are excellent sources of protein. Again, the protein content in different foods can vary.
Fats, also known as lipids, are an important energy source and provide essential fatty acids. Foods such as oils, butter, avocados, nuts, and fatty meats are high in fats. Like carbohydrates and proteins, the fat content in foods can differ significantly.
It's worth noting that some foods may predominantly consist of one specific nutrient. For example, pure sugar is almost entirely composed of carbohydrates, while pure oil is almost entirely composed of fats. However, most whole foods, such as fruits, vegetables, grains, meats, and dairy products, contain a mixture of these energy nutrients.
Furthermore, a balanced diet typically includes a combination of these nutrients in appropriate proportions. A varied diet that incorporates a range of foods from different food groups helps ensure an adequate intake of carbohydrates, proteins, and fats, along with other essential nutrients required for optimal health.
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your statistics class has 26 students in it what is the probability that both students are girls given that the second student chosen is a girl
Answers
Given that the second student chosen is a girl, the probability that both students are female is 0.175.
The occurrence of likely events is referred to as probability. It is the branch of mathematics concerned with numerical estimates of the likelihood of an event occurring or a statement being true.
Probability is nothing but likelihood of something is to occur. When we are unsure about the outcome of an event, we can discuss the probabilities of certain outcomes—how likely they are.
The probability of selecting a girl from the class is
\(= \frac{Number\ of\ girls}{ Total\ number\ of\ students}= \frac{14}{26}\\\\= \frac{7}{13}\)
It is known that the one of the chosen student from 2 students is girl, the probability of having both girls will be:
\(= \frac{7}{16} * \frac{6}{15}\\\\= 0.175\)
Hence, the probability is 0.175.
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Your question is incomplete, here is the complete question.
Your statistics class has 26 students in it - 14 girls and 12 boys.Your teacher uses a calculator to select two students at random to solve a problem on the board. Given that the second student chosen is a girl, what is the probability that the first student was also a girl?
Suppose we estimate the following regression: yt = β1 + β2x2t +
β3x3t + ut. Suppose the variance of ut is related to a known
variable zt as follows: Var(ut) = σ^2(zt). How would you transform
the
Answers
To transform the regression equation, you would divide both sides of the equation by the square root of Var(ut), which is σ√(zt). This transformation helps in obtaining the transformed regression coefficients and standard errors that account for the heteroscedasticity in the error term.
When the variance of the error term (ut) is related to a known variable (zt), it implies the presence of heteroscedasticity in the regression model. Heteroscedasticity means that the variability of the error term is not constant across different levels of the independent variables.
To address this issue, we can transform the regression equation by dividing both sides by the square root of the variance of the error term, which is σ√(zt). This transformation is known as the weighted least squares (WLS) estimation.
By dividing both sides of the equation, we can obtain the transformed regression equation with the error term divided by its standard deviation. This transformation accounts for the heteroscedasticity by giving different weights to the observations based on the variability of the error term. It allows for a more appropriate estimation of the regression coefficients and standard errors, as it gives more weight to observations with smaller error variances and less weight to observations with larger error variances.
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visit your local library: on a recent saturday, a total of 1343 people visited a local library. of these people, 253 were under age 10, 466 were aged 10-18, 174 were aged 19-30, and the rest were more than 30 years old. one person is sampled at random. (a) what is the probability that the person is less than 19 years old? (b) what is the probability that the person is more than 10 years old? part 1 of 2 (a) what is the probability that the person is less than 19 years old? round your answer to four decimal places.
Answers
Probability of people less than 19 year old = 0.5343
Probability of people greater than 10 year old = 0.8116
What is probability?
Mathematical descriptions of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the probability of an event, with 0 roughly denoting impossibility and 1 denoting certainty.
People under age 10 = 253
People between the age of 10-18 = 466
People between the age of 19-30 = 174
People above the age of 30 = 450
Total no. of people = 1343
a) people less than 19 years old = 253+466 = 719
probability of people<19 year old = P(age<19) = 719/1343 = 0.5354
b) people of age greater than 10 = 466+174+450 = 1090
probability of people >10 year old = P(age>10) = 1090/1343 = 0.8116
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plz help me!!!!!!! its hard
Answers
For no. 1
Diameter (d) = 12 ft
Radius (r) = 12 /2 =6 ft
Area of the circle
= πr²
= 3.14 *6²
= 113.04 ft²
For no. 2
radius (r) = 12 in
Area of the circle
= πr²
= 3.14 * 12²
= 452.16 in²
Hope it helps :)❤
Hey, i need help with this?!
Answers
Answer:
$11.43/ft squared
Step-by-step explanation:
160/14 is $11.428 which is rounded to $11.43
HOPE THIS HELPS!
Answer:
The unit rate is $11.43/ft because if you take 14 divided by 14 to get 1 foot you have to take 160 divided by 14 to get how much it costs for 1 ft. So the answer is $11.43.
Hope it helps
If you have a circle with a central angle of 80 degrees, what is the degrees of its inscribed angle?
Answers
Answer:
The measure of the inscribed angle is \(40^{\circ}\)
Step-by-step explanation:
Recall that the measure of the inscribed angle is one-half the measure of the central angle subtended by the same arc.
So, if the measure of the central angle is \(80^{\circ}\), so the measure of the corresponding inscribed angle is:
\(\frac{1}{2}\times 80^{\circ}=40^{\circ}\)
the average price of apples is $5.99/lb with the standard deviation of $2.99. suppose the price of apples follows the normal probability distribution. what is the z-score of apple price of $7.99/lb?
Answers
The z-score of apple price of $7.99/lb is 0.66
What is probability?Probability is a measure of the possibility of an event occurring.
The likelihood could range from 0 to 1, where 0 indicates an impossibility and 1 indicates a certainty.
Every event in a sample space has an overall probability of one.
The probability that the apple price is less than or equal to $7.99 / lb can be calculated using the normal distribution method
P(x ≤ 5.99)
The standard form of the given random sample can be found using the formula,
Z = (X - μ) / σ
where Z is the standard score
X is the random sample
μ is the mean
σ is the standard deviation.
For x =7.99,
Z = (7.99 - 5.99) / 2.99
= 2 / 2.99
Z = 0.66
Therefore, by standardizing the random sample, we get
P(x ≤ 5.99) = P( z ≤ 0.66)
By using the z-table, we get the value of z
P(z ≤ 0.66) = 0.7454
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Suppose the alternative hypothesis of this test had been lower-tailed instead of two-tailed. How would this affect the conclusions of this test?
a. Unlike the two-tailed test, we would conclude that there is a difference between Pharaoh's translation and the translation of the other software.
b. Unlike the two-tailed test, we would conclude that there is no difference between Pharaoh's translation and the translation of the other software.
c. The results of a lower-tailed test are always opposite the results of a two-tailed test, so we would fail to reject the null hypothesis.
d. The conclusion would be the same as the two-tailed test. Although the p-value for the lower-tailed test is different, it is still less than alpha.
e. The conclusion would be the same as the two-tailed test. Although the p-value for the lower-tailed test is the same as the p-value for the two-sided test.
Answers
Option A. If the alternative hypothesis of the test had been lower-tailed instead of two-tailed, the conclusion of the test would be different.
Recall that a two-tailed test is used when the alternative hypothesis is that the population parameter is different from the null hypothesis value in any direction, while a lower-tailed test is used when the alternative hypothesis is that the population parameter is less than the null hypothesis value.
In the given scenario, if the alternative hypothesis of the test had been lower-tailed instead of two-tailed, we would have tested the following null and alternative hypotheses:
H0: Pharaoh's translation is not worse than the other software's translation.
Ha: Pharaoh's translation is better than the other software's translation.
In this case, we would have calculated the p-value for the lower tail of the sampling distribution, and compared it to the significance level alpha. If the p-value is less than alpha, we would reject the null hypothesis and conclude that Pharaoh's translation is better than the other software's translation. If the p-value is greater than alpha, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that Pharaoh's translation is better than the other software's translation.
Therefore, the correct answer to the question is option A: Unlike the two-tailed test, we would conclude that there is a difference between Pharaoh's translation and the translation of the other software.
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Rewrite each expression using a single, positive exponent.
Answers
The given expression, 14⁻³ · 14¹², written as a single, positive exponent is 14⁹
Rewriting an expression using a single exponentFrom the question, we are to write the given expression using a single, positive exponent
From the given information,
The given expression is
14⁻³ · 14¹²
This means
14⁻³ × 14¹²
To solve this, let us revise some of the laws of indices
mᵃ × mᵇ = mᵃ ⁺ ᵇmᵃ × mᵇ = mᵃ ⁻ ᵇm⁰ = 1Thus,
The expression
14⁻³ × 14¹²
can be written as
14⁻³ ⁺ ¹²
14⁹
Hence, the expression written as a single exponent is 14⁹
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Rosie bought a ring in the USA she paid 345 US dollars work out in pounds the amount rosie paid for the ring
Answers
345 x 0.72 = 248.4
345 us dollars = 248.4 British pounds
Rosie paid 248.4 British pounds for the ring. Hope this helped
Answer:
Step-by-step explanation:
Graph the line that passes through the points (-2, - 7) and (5,0) and determine
the equation of the line.
Answers
Work shown in pic:
PLEASE ANSWER TOADAY !!!!!!!!!!!!!!!!!
Answers
Answer:
most likely next spring
Step-by-step explanation:
Step-by-step explanation:
What type of association does the following scatterplot represent?
Answers
Answer:
Positive Linear Association
Step-by-step explanation:
A positive/negative association can be determined by seeing if the slope of the line of best fit is positive or negative. A positive slope indicates a positive relationship and a negative slope indicates a negative relationship.
If y increases as x increases => positive
If y decreases as x increases => negative
In the graph, the line of best fit clearly has a positive slope. I.e. as x increases, y also increases. Therefore, the association is positive.
Next determine if the relationship is linear or nonlinear. A linear relationship can be modeled strongly with a straight line. Anything else is nonlinear. In the graph, a straight line can be draw through the points with a strong correlation, therefore the association is linear.
Therefore, the best answer is Positive Linear Assosciation
a 13-foot ladder is leaning against a wall. if the top of the ladder slips down the wall at a rate of 2 ft/s, how fast will the foot be moving away from the wall when the top is 5 ft above the ground?'
Answers
A 13ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of 2 ft/s, then the foot of the ladder will be moving away from the wall at a rate of 4 ft/s when the top is 5 ft above the ground.
This can be determined using the formula Rate = Distance/Time. Since we know that the top of the ladder is slipping down at a rate of 2 ft/s, we can calculate the rate at which the foot of the ladder is moving away from the wall. The distance between the top of the ladder and the foot of the ladder is 8 ft (13 ft - 5 ft). Since the top of the ladder is moving down 2 ft/s, the foot of the ladder must be moving away from the wall at a rate of 4 ft/s.
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ARITHMETIC SEQUENCES HELP. (QUESTIONS ATTACHED)
Answers
The diagram shows a triangle.
What is the value of w?
Answers
Answer:
w=32
Step-by-step explanation:
33+115+w=180
148+w=180
w=180-148
w=32
What is the slope of the line that passes through the points (5, 6) and (5,9)
Answers
Answer:
undefined or no solution
Step-by-step explanation:
it repeats the same x-value
Answer:3
Step-by-step explanation:
9-6
over
6-5
=3/1
simplify
m=3
The painting on the world’s largest easel has a perimeter of 112 feet. Its length is 8 feet more than its width. Find its dimensions in feet. (Set up and solve the appropriate equation.
Answers
The dimensions of the painting are 24 feet by 32 feet. Given the perimeter of the painting is 112 feet. Let the width be x feet. The length is 8 feet more than its width, therefore, the length = x + 8 feet. Perimeter of a rectangle = 2 (l + w).
Substitute x + 8 for l and x for w in the above equation : 2 (l + w)
= 2 (x + 8 + x)
= 4x + 16 feet
But given the perimeter of the painting is 112 feet4x + 16
= 112 feet
Subtract 16 from both sides of the above equation
4x = 112 - 16
= 96
Divide both sides by 4x = 24
The width of the painting is 24 feet
The length of the painting = x + 8
= 24 + 8
= 32 feet
Therefore, the dimensions of the painting are 24 feet by 32 feet.
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During dismissal time in the afternoon period at Hipercubo , 9 kids are dismissed every 3 minutes . Knowing that 81 kids study at this period , how long will it take for all the kids to have gone home ?
Answers
It will take 27 minutes for all the kids to have gone home
How long will it take for all the kids to have gone home?The given parameters are:
9 kids every 3 minutes
This can be represented as
9 kids = 3 minutes
Let the time spent by 81 kids be x
So, we have the following equation
81 kids = x
Rewrite the parameters as
9 kids = 3 minutes
81 kids = x
Cross multiply in the above equation
So, we have:
9 * x = 3* 81
Divide both sides by 9
x = 3 * 9
Evaluate
x = 27
Hence, it will take 27 minutes for all the kids to have gone home
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can you help me please
Answers
Answer:
I think its 13.5 I may be wrong.
when solving the following system of equations using the elimination method, what would be the appropriate first step?A) multiply the bottom equation by 2B) multiply the top equation by 4 C) subtract the system D) add the system
Answers
Answer:
A) multiply the bottom equation by 2
Explanation:
Our goal in using the elimination method is to eliminate one variable so that we can solve for another independently.
Therefore, the first step would be to multiply the bottom equation by 2 so that the term with x becomes -4x so that it can cancel when the bottom equation Is added to the equation at the top.
Multiplying the bottom equation by -2 gives
\(\begin{gathered} 2(-2x+5y=25) \\ -4x+10y=50 \end{gathered}\)Now, our system becomes
\(\begin{gathered} 4x+7y=28 \\ -4x+10y=50 \end{gathered}\)adding the two equations gives
\(\begin{gathered} 4x+7y=28 \\ -4x+10y=50 \\ -------------- \\ 17y=78 \end{gathered}\)we can now solve for y and then use its value to find the value of x.
Therefore, the correct first step in solving the equations is to multiply the bottom equation by 2.