1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gtnhenbr [62]
2 years ago
8

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

0 inches. (Each question is worth 3 points) What percentage of full-term babies are between 19 and 21 inches long at birth
Mathematics
1 answer:
mash [69]2 years ago
5 0

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

You might be interested in
In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 15 boys an
denis-greek [22]

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455

Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4

Total number of possible results:

results = 4*455\\results = 1820

3 0
3 years ago
What is the value of x?<br> 6<br> 7<br> 8<br> 9
Dennis_Churaev [7]

Answer:

7

Step-by-step explanation:

on edg

5 0
3 years ago
Read 2 more answers
What is the solution to this equation<br>x+8=-3 ​
melisa1 [442]

Answer:

x+8=-3.

x=-3-8.

x= -11.

4 0
3 years ago
Read 2 more answers
1/2 x =6 What's the answer? Photo below.
Bad White [126]
X=12 because a half of 12 is six.
3 0
3 years ago
Read 2 more answers
Brainliest and 11 pts!
nirvana33 [79]
It is helpful to plot the points, then mentally test the answers for plausibility. Translation of E 1 unit to the right puts it at (2, 1), then rotation counterclockwise 90° about the origin puts it at (-1, 2), the location of E'.

The appropriate choice seems to be
  A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin


_____
Translation 1 unit right: (x, y) ⇒ (x+1, y)
Rotation 90° CCW: (x, y) ⇒ (-y, x)
Both transformations in that order: (x, y) ⇒ (-y, x+1)

4 0
2 years ago
Read 2 more answers
Other questions:
  • I need help with this question, Thanks!
    11·1 answer
  • Round 101.5 to one significant figure
    7·1 answer
  • What is (2n-8)(-2)=24
    5·1 answer
  • Combine the like terms to create an equivalent expression: − 5 j + ( − 2 j ) + 3 −5j+(−2j)+3minus, 5, j, plus, left parenthesis,
    8·1 answer
  • The graph of the line y=4 is a
    12·2 answers
  • Given h(x)= 4x^2, find h(3) Help me pleasee asap
    5·2 answers
  • Which is greater, 0.7 or 0.6999
    10·2 answers
  • Hannah walked 1 3/4 miles in the morning and 3 2/3 miles in the afternoon. Hannah walked
    11·2 answers
  • HELP PLEASE ASAP!!!!
    9·1 answer
  • McDonald's sells about 150 hamburgers every 3 seconds. How many seconds will it take McDonald's to sell 6,400 hamburgers
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!