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Slav-nsk [51]
3 years ago
6

Suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. You find an indivi

dual that reads 46.4 word per minute. You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 90 words per minute and a standard deviation of 24 words per minute. At what percentile is the child's reading level (round final answer to one decimal place)?
Mathematics
1 answer:
aleksklad [387]3 years ago
6 0

Answer:

The child's reading level is at the 3.4th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 90 words per minute and a standard deviation of 24 words per minute.

This means that \mu = 90, \sigma = 24

You find an individual that reads 46.4 word per minute. At what percentile is the child's reading level?

The percentile is the p-value of Z when X = 46.4, multiplied by 100. So

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

Z = \frac{46.4 - 90}{24}

Z = -1.82

Z = -1.82 has a p-value of 0.034.

0.034*100 = 3.4

The child's reading level is at the 3.4th percentile.

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Geometria ayuda por favor
lilavasa [31]

Answer:

72°

Step-by-step explanation:

Para el pentagono ABCDE,

m<C = (n - 2)(180)/n = (3)(180)/5 = 108

m<D = m<C = 108

Para el quadrilatero BCDE,

m<CBE + m<C + m<D + m<DEB = (n - 2)180 = 2(180) = 360

m<C = m<D = 108

m<CBE = m<DEB = x

m<CBE + m<C + m<D + m<DEB = 360

x + 108 + 108 + x = 360

2x + 216 = 360

x + 108 = 180

x = 72

5 0
2 years ago
Help please! thanks! <br> Find the length of AB<br> A. 2.89<br> B. 33.13<br> C. 378.63<br> D. 377.19
Naddik [55]
<h3>Answer:  29 miles (approximate)</h3>

======================================================

Explanation:

Segment AB is already given to be 19 miles long.

I'm assuming your teacher meant to ask about side BC, which is side 'a' since it's opposite angle A.

Use the law of cosines to find the missing side

a^2 = b^2 + c^2 - 2*b*c*cos(A)

a^2 = 12^2 + 19^2 - 2*12*19*cos(138)

a^2 = 843.874040417691

a = sqrt(843.874040417691)

a = 29.0495101579647

a = 29 when rounding to the nearest whole number

Side BC is roughly 29 miles long.

8 0
3 years ago
PLEASE HELP ME !!!!!!!!!!!!!!!!!<br>LET ME KNOW IF ITS RIGHT
Savatey [412]
Okay. So the song lasts 221 seconds. 45 seconds have already beem done and 22 seconds is done in an hour. The equation would be set up like this:

45 + 22h = 221

Just by looking at the answer choices, A is already eliminated because it doesn't incorportate the 45 seconds. B does include the 45 seconds, but it subtracts, and in this case, we add time, not subtract. D is eliminated, because the h variable does not go with 45. The only equation that works is C and when you solve it, you get 8 hours. The answer is C.

Note: you solve the equation above by subtract 45 from both sides to get 176 = 22x, and dividing both sides by 22 to get x = 8.
4 0
3 years ago
Ruben adds some water to a glass of juice. The ratio of water to juice in his glass in now 4:6. Which fraction below represents
zimovet [89]

Answer:

C

Step-by-step explanation:

since we're being told to convert the ratio to fraction then it is C. note that 4 ratio is also the same as dividing 4 by 6

6 0
3 years ago
Whats the answer? Please respond ASAP!
Artemon [7]

Answer:

C.

Step-by-step explanation:

4 0
3 years ago
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