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Svetradugi [14.3K]
3 years ago
8

Heights of American adult women are normally distributed with mean 63.6 inches and standard deviation 2.5 inches. Find the heigh

t of an adult woman that corresponds to the 80th percentile.
Mathematics
1 answer:
rusak2 [61]3 years ago
7 0

Answer:

65.7

Step-by-step explanation:

Given ;

Mean, m = 63.6

Standard deviation, s = 2.5

80th percentile = 80 / 100 = 0.8

The Zscore corresponding to the 80th percentile ; Z < P = 0.842 (Z probability calculator)

Zscore = (x - m) / s

0.842 = (x - 63.6) / 2.5

0.842 * 2.5 = x - 63.6

2.105 = x - 63.6

x = 63.6 + 2.105

x = 65.705

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torisob [31]

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Step-by-step explanation:

7 0
3 years ago
Gareth has a deck of cards with 12 challenge cards and 8 prize cards. Gareth is going to randomly select a card from the deck 14
GuDViN [60]

Answer:

Gareth has a deck of cards with 12 challenge cards and 8 prize cards.

=> The probability he selects a prize card: P = 8/(12 + 8) = 8/20 = 0.4

Gareth is going to randomly select a card from the deck 148 times, replacing the card and shuffling the deck after each selection .

=>The randomness is kept same for all selecting times

Then the best prediction for the number of times Gareth will select a prize card:

=> N = 0.4 x 148 = 59.2 = 59 times

Hope this helps!

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6 0
3 years ago
Answer this MATH question thank you :)
Karo-lina-s [1.5K]

Answer:

K

Step-by-step explanation:

By altering the initial height, you change the h-intercept. That will affect the maximum height and the t-intercept.

Answer: K

6 0
3 years ago
The area of Canada is approximately 1 x 107 square miles. The area of Italy is approximately 3 x 105 square miles. Which stateme
Ostrovityanka [42]
A little more than 2 times the size of Canada
3 0
3 years ago
What is the interquartile range of 45,60,40,90,60,50,75,120,90
puteri [66]
IQR = 40

1) Put the numbers in order: 40, 45, 50, 60, 60, 75, 90, 90, 120
2) Find the median: Median is 60 (the 2nd one)
3) Place parentheses around the numbers above and below the median. For easy identification of Q1 and Q3. (40, 45, 50, 60,) 60, (75, 90, 90, 120)
4) Find the Q1 and Q3. Q1 = median of the lower half of the data; Q3 = median of the higher half of the data. Q1 and Q3 have even sets so its median cannot be defined.
5) Had both sets contain odd sets, the median of Q1 is subtracted from the median of Q3 to get the IQR.

We can then use the Alternative definition of IQR.
IQR is the difference between the largest and smallest values in the middle 50% of a set data.

40, 45, 50, 60, 60, 75, 90, 90, 120

Middle 50% is 50, 60, 60, 75, 90; IQR = Largest value - smallest value;

IQR = 90 - 50 = 40



5 0
3 years ago
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