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lord [1]
3 years ago
7

The heights of women aged 20 to 29 follow approximately the N(64, 2.82) distribution. Men the same age have heights distributed

as N(69.3, 2.71). What percent of young women are shorter than the mean height of young men?
Mathematics
1 answer:
ivann1987 [24]3 years ago
4 0

Answer:96.97

Step-by-step explanation:

Given

mean height of women \mu _w=64

Standard deviation of height \sigma _w=2.82

mean height of men \mu _=69.3

Standard deviation of height \sigma _m=2.71

P\left ( X

P\left ( \frac{x-\mu _w}{\sigma _w}\right )

P\left ( Z

i.e. 0.9697=96.97 %

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statuscvo [17]

Answer: 1 hour 15 minutes

Step-by-step explanation:

From the question, we are informed that Laura and Alicia both exercise 5 days a week and that Laura exercises for 30 minutes each day. For the 5 days, she'll exercise for:

= 5 × 30 minutes

= 150 minutes

= 2 hours 30 minutes

Alicia exercises for 45 minutes each day. Fir the 5 days, she'll exercise for:

= 5 × 45 minutes

= 225 minutes

= 3 hours 45 minutes

We then calculate the difference in their exercise per week which will be:

= 3 hours 45 minutes - 2 hours 30 minutes

= 1 hour 15 minutes

6 0
2 years ago
Which point on the graph below is included in the solution to the following system of equations?
monitta

Answer:

D(-7,-2)

Step-by-step explanation:

A(-4,3)  B(5,-1)  C(-2,-6)    D(-7,-2)

A: 5×(-4) + 6×3 = -2 ≥ -30 ..... No

B: 2/3×5 + 1 =4.33 ≥ -1 ....No

C:  -6 ≤ 2/3×-2 +1 ....No

D: 2/3×(-7)+1 = 2.333 ≤ -2

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5 0
2 years ago
What is 45/117 as a simplified fraction
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5/13
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6 0
3 years ago
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Solve.
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K/6 + 8 = 19
       -8     -8
-------------------
k/6 = 11
×6      ×6
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What is 320.4 as a fraction over five
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