(0, 4) and (4,0)<br> Rate of Change: <br> b=

Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.9

mash [69]

Answer:

66.48% of full-term babies are between 19 and 21 inches long at birth

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.

Mean length of 20.5 inches and a standard deviation of 0.90 inches.

This means that $\mu = 20.5, \sigma = 0.9$

What percentage of full-term babies are between 19 and 21 inches long at birth?

The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then

X = 21

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

$Z = \frac{21 - 20.5}{0.9}$

$Z = 0.56$

$Z = 0.56$ has a p-value of 0.7123

X = 19

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

$Z = \frac{19 - 20.5}{0.9}$

$Z = -1.67$

$Z = -1.67$ has a p-value of 0.0475

0.7123 - 0.0475 = 0.6648

0.6648*100% = 66.48%

66.48% of full-term babies are between 19 and 21 inches long at birth

5 0

3 years ago

Which equation represents a proportional relationship? A)y = 5 B)x = 3 C)y = 2x + 3 D)y = 1/4 x

umka2103 [35]

D)y=1/4x represents a proportional relationship

6 0

3 years ago

CAN SOMEONE PLEASE HELP ME!!!!!

USPshnik [31]

Answer:

Step-by-step explanation:

2{5x²-15+(-9xy²)}-(2y²+4x-xy²)+3x²

=2{5x²-15-9xy²}-(2y²+4x-xy²)+3x²

=10x²-30-18xy²-2y²-4x+xy²+3x²

=13x²-2y²-17xy²-4x-30

8 0

3 years ago

PLZ ANSWER APSP IM IN THE TEST RN!!!

olchik [2.2K]

Answer:

x = 38

y = 25

Step-by-step explanation:

To find x, you do

(2x + 5) = (3x - 33)

Subtract 2x from both sides to isolate x on one side, you get:

5 = (x - 33)

Add 33 to both sides to separate the normal number from the x, you get:

38 = x

From there, you plug x into one of the equations

2(38) + 5

The answer's 81, meaning that angle is 81 degrees. Using supplementary angles, you can find that angle ACD = 99, which you can use to find angle BCE. You'll get this equation:

(4y - 1) = 99

Add one to both sides to get rid of it, you get:

4y = 100

Divide by four, to get the y all alone:

y = 25

I hope this helped!

8 0

4 years ago

Read 2 more answers

A chi-square test for independence with 10 degrees of freedom results in a test statistic of 18.21. Using the chi-square table,

erastova [34]

Shhdjdhxidjswhidbjaaishdbfjdksnwjw

8 0

3 years ago

(0, 4) and (4,0) Rate of Change: b=