Scores on a test in a very large class are bell-shaped and symmetric. The mean on the test was 75, and the standard deviation was 5. What percent of the scores were above 75?

Answers

Answer 1
Answer:

Answer:

50% of the scores were above 75

Step-by-step explanation:

Problems of normally distributed(bell-shaped) samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = (X - \mu)/(\sigma)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 75, \sigma = 5

What percent of the scores were above 75?

This is 1 subtracted by the pvalue of Z when X = 75. So

Z = (X - \mu)/(\sigma)

Z = (75 - 75)/(5)

Z = 0

Z = 0 has a pvalue of 0.5

1 - 0.5 = 0.5

50% of the scores were above 75


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Twin​ brothers, Billy and​ Bobby, can mow their​ grandparent's lawn together in 53 minutes. Billy could mow the lawn by himself in 20 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by​ himself?

Answers

5353 minutes = 89.22 hours
Maybe the figures should be 53 and 20??

Let's let Billy = A
The formula to use for work problems is
Time = (A*B) / (A+B)

53 = ( (A +20)* A) / (A +20 + A) )
53 = ( A^2 + 20A ) / (2A + 20)
A^2 + 20A -106A -1060
A^2 -86A -1060
A = 96.935
Bobby Mows in 116.935 minutes

The skip interval in systematic random sampling is computed by dividing the number of potential sampling units on the list by the desired sample size .O True
O False

Answers

Answer:

True

Step-by-step explanation:

The skip interval in systematic random sampling is computed by dividing the number of potential sampling units on the list by the desired sample size .

Systematic sampling is a type of probability sampling method in which sample members from a larger population are selected according to a random starting point but with a fixed, periodic interval (the sampling interval).

Sampling interval is calculated by dividing the population size by the desired sample size

What is the approximate radius of the disc if the area is 78.5 square inches?

Answers

78.5 = 3.14 * r^2

r^2 = 78.5 / 3.14 = 25

r = radius = 5 answer

Please help me for a TEST review tomorrow!!

Answers

Answer:

Hope you understand my writing!

What time will it be in 3/4 hour

Answers

3/4 of an hour is equal to 45 minutes.

To find 3/4 of an hour, we need to multiply the value of one hour by 3/4.

One hour is equal to 60 minutes.

To calculate 3/4 of an hour:

= 3/4 x 60 minutes

= (3/4) x 60

= 45 minutes.

Therefore, 3/4 of an hour is equal to 45 minutes.

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Answer:

45 minutes

Step-by-step explanation:

so  1 hr= 60 minutes  so you do 3/4 x 60min which is  45 minutes. Feel Free to mark Brainliest and have a great day!

Assume sin t =.45 and sin w =.89 both t and w are postive and both t and w determne a terminal point in a quadrant 1. which of the following statements best describe the relationship between t and wa w>t
b t>w
C not possible to tell

Answers

The sine function is increasing in the first quadrant.
sin(0) = 0
sin(90) = 1

This means the larger angle will give a larger sine value.
sin(w) > sin(t) -----> w > t

Final answer:

Given the values sin(t) = 0.45 and sin(w) = 0.89, both for angles in the first quadrant, we can determine that the angle w is greater than the angle t. This is because in the first quadrant, the sine of an angle increases as the angle increases.

Explanation:

The sine of an angle in the unit circle, sin(t) or sin(w), is the y-coordinate of the point where the angle intersects the unit circle. The angles are in quadrant 1, where sine values are positive, as are the angles themselves. Given sin(t) = 0.45 and sin(w) = 0.89, we know that the sine of an angle increases as the angle increases within the first quadrant (from 0 to 90 degrees). Therefore, sin(w) > sin(t) implies that w > t.

Learn more about Trigonometry here:

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