What is the value for y?

8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches

sweet [91]

Answer:

Heights of 29.5 and below could be a problem.

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.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that $\mu = 32, \sigma = 1.5$

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

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

$-1.645 = \frac{X - 32}{1.5}$

$X - 32 = -1.645*1.5$

$X = 29.5$

Heights of 29.5 and below could be a problem.

4 0

3 years ago

10=−4x+3x^2 solve<br><br> please help!

kumpel [21]

Answer:

-1.28 AND 2.61

Step-by-step explanation:

$10= -4x+3x^2\\ 3x^2 -4x - 10 = 0\\\\$

use quadratic formula

x = $\frac{-b+\sqrt{b^{2} -4ac} }{2a}$ x = $\frac{-b-\sqrt{b^{2} -4ac} }{2a}$

Solution/X-Intercepts: -1.28 AND 2.61

6 0

3 years ago

Your teacher divides your class into two groups and then randomly chooses a leader for each group the probability that you are c

S_A_V [24]

The chances for my friend to be in my group are low given the probability, I say no.

6 0

4 years ago

Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes fo

Katarina [22]

Answer:

A.

Step-by-step explanation:

Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes for $2.48 per pound. The cost of the fruit, before tax, is $13.76. How many pounds of each fruit is she buying?

A.

2.8 pounds of apples and 4.8 pounds of grapes

B.

3.3 pounds of apples and 1.3 pounds of grapes

C.

3.8 pounds of apples and 1.8 pounds of grapes

D.

4.5 pounds of apples and 2.5 pounds of grapes

6 0

2 years ago

Scout troops are picking up litter in the park. The trash bags holds 8 pounds of litter. A total of 230 pounds litter was collec

natima [27]

2 REMAINDER OF 70 POUNDS

6 0

3 years ago

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