B) What percent of 5 year old males weigh...

An English professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: Scores below the

NeX [460]

Answer:

Grades between 62 and 64 result in a D grade.

Step-by-step explanation:

Problems of normally distributed 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:

$Z = \frac{X - \mu}{\sigma}$

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:

$\mu = 71.9, \sigma = 7.8$

Find the numerical limits for a D grade.

D: Scores below the top 84% and above the bottom 10%

So below the 100-84 = 16th percentile and above the 10th percentile.

16th percentile:

This is the value of X when Z has a pvalue of 0.16. So X when Z = -0.995.

$Z = \frac{X - \mu}{\sigma}$

$-0.995 = \frac{X - 71.9}{7.8}$

$X - 71.9 = -0.995*7.8$

$X = 64$

10th percentile:

This is the value of X when Z has a pvalue of 0.1. So X when Z = -1.28.

$Z = \frac{X - \mu}{\sigma}$

$-1.28 = \frac{X - 71.9}{7.8}$

$X - 71.9 = -1.28*7.8$

$X = 62$

Grades between 62 and 64 result in a D grade.

6 0

2 years ago

There were 567 people at a concert when a band started playing. After each song, only one-third of the people stayed to hear the

emmasim [6.3K]

To write the function correctly, it is important to assign variables correctly and understand the situation of the problem clearly. For this, we let y the number of people and x as the number of songs played.

At x = 0 y = 567
at x = 1 y = 567 - 567(1/3)
at x = 2 y = 567 - 567(1/3)(1/3)
at x = 3 y = 567 - 567(1/3)(1/3)(1/3)

Therefore, the number of people left after x songs would be represented by the equation:

y = 567 - 567(1/3)x
y = 567 ( 1- x/3 )

8 0

2 years ago

Read 2 more answers

What's 17 out of 20 as a decimal

maw [93]

Let's convert this fraction to an equal fraction which holds a denominator of 100, since it is a power of 10.

Since the denominator can be multiplied by 5 to achieve 100, we can multiply the entire fraction by 5 to create an equivalent fraction that has a denominator of 100:
17/20 = (17*5)/(20*5) = 85/100

To obtain a decimal from this fraction, take the numerator and move its decimal one place to the left for every 0 in the denominator. Since our denominator has two zeros, we will need to move the decimal place on the 85 two places to the left.

This gives us an answer of .85, which can also be expressed as 0.85.

3 0

3 years ago

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The figure below is divided into 100 small squares of equal size.

Bess [88]

60/100 / 60 are shaded out of the hundred. Simplified would be 3/5. The decimal would be 0.6.

5 0

2 years ago

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HELPPPP!!! and get brainliest!!!!!!! + 22 points

ella [17]

Answer: