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
MariettaO [177]
3 years ago
9

The heights of North American women are nor-mally distributed with a mean of 64 inches and a standard deviation of 2 inches. a.

b. c. What is the probability that a randomly selected woman is taller than 66 inches
Mathematics
1 answer:
serious [3.7K]3 years ago
5 0

Answer:

0.1587

Step-by-step explanation:

Given the following :

Mean (m) of distribution = 64 inches

Standard deviation (sd) of distribution = 2 inches

Probability that a randomly selected woman is taller than 66 inches

For a normal distribution :

Z - score = (x - mean) / standard deviation

Where x = 66

P(X > 66) = P( Z > (66 - 64) / 2)

P(X > 66) = P(Z > (2 /2)

P(X > 66) = P(Z > 1)

P(Z > 1) = 1 - P(Z ≤ 1)

P(Z ≤ 1) = 0.8413 ( from z distribution table)

1 - P(Z ≤ 1) = 1 - 0.8413

= 0.1587

You might be interested in
Pls help me tysm if you can!!
Mice21 [21]
The answer is 0.687.
8 0
3 years ago
Read 2 more answers
9(x + y) = 9x + 9y what algebraic property is that
Ann [662]
The distributive property
6 0
3 years ago
In a certain Algebra 2 class of 30 students, 19 of them play basketball and 12 of them play baseball. There are 8 students who p
Alenkinab [10]

Answer:

Probability that a student chosen randomly from the class plays basketball or baseball is  \frac{23}{30} or 0.76

Step-by-step explanation:

Given:

Total number of students in the class = 30

Number of students who plays basket ball = 19

Number of students who plays base ball = 12

Number of students who plays base both the games = 8

To find:

Probability that a student chosen randomly from the class plays basketball or baseball=?

Solution:

P(A \cup B)=P(A)+P(B)-P(A \cap B)---------------(1)

where

P(A) = Probability of choosing  a student playing basket ball

P(B) =  Probability of choosing  a student playing base ball

P(A \cap B) =  Probability of choosing  a student playing both the games

<u>Finding  P(A)</u>

P(A) = \frac{\text { Number of students playing basket ball }}{\text{Total number of students}}

P(A) = \frac{19}{30}--------------------------(2)

<u>Finding  P(B)</u>

P(B) = \frac{\text { Number of students playing baseball }}{\text{Total number of students}}

P(B) = \frac{12}{30}---------------------------(3)

<u>Finding P(A \cap B)</u>

P(A) = \frac{\text { Number of students playing both games }}{\text{Total number of students}}

P(A) = \frac{8}{30}-----------------------------(4)

Now substituting (2), (3) , (4) in (1), we get

P(A \cup B)= \frac{19}{30} + \frac{12}{30} -\frac{8}{30}

P(A \cup B)= \frac{31}{30} -\frac{8}{30}

P(A \cup B)= \frac{23}{30}

7 0
3 years ago
Find the dimensions of a rectangle
gayaneshka [121]
The length of the shorter side is 7 longer side is 12 7+7+12+12 is 38 and 7x12 is 84
4 0
2 years ago
The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answ
Sonja [21]

Answer:

1/3

Step-by-step explanation:

the one on the left is 3 times larger than the one on the right. in other words, the right triangle's dimensions times 1/3 is equal to the left triangle's dimensions.

5 0
3 years ago
Other questions:
  • What is the gcf of 12 35 15
    14·2 answers
  • answer letter B I get confused to add or subtract like a different strategy thanks guys whoever answer this sorry if I said than
    9·1 answer
  • |1.| 85 is 20% of what number???? | 2.| 22 is 11% of what number???
    11·1 answer
  • Which statement best describes the equation (x + 5)2 - 4x + 5) +12=02
    8·1 answer
  • The longest frontier between countries is between the u.s and Canada a distance of 3,987 miles how many weeks would it take some
    14·1 answer
  • If the volume of a cube is 125 cubic meters, what is the length of each arm?
    14·1 answer
  • Help 50 points and brainlest for answers to all the photos
    11·2 answers
  • How many points of intersection do the graphs of these two equations have [2x+3y=7 4x+6y=14
    12·1 answer
  • Figure ABCD is graphed on a coordinate plane.
    11·1 answer
  • What is the answer to 8^6÷8
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!