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3 years ago

What is the value of x?

Mathematics

1 answer:

Alenkinab [10]3 years ago

4 0

Answer:

X=5

Step-by-step explanation:

Add all up all the xs you see and the numbers near it and then it will be x and that number added up all together

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[Q71 Suppose that the height, in inches, of a 25-year-old man is a normal random variable with parameters g = 71 inch and 02 = 6

viktelen [127]

Answer: (a) Percentage of 25 year old men that are above 6 feet 2 inches is 11.5%.

(b) Percentage of 25 year old men in the 6 footer club that are above 6 feet 5 inches are 2.4%.

Step-by-step explanation:

Given that,

Height (in inches) of a 25 year old man is a normal random variable with mean $g=71$ and variance $o^{2} =6.25$ .

To find: (a) What percentage of 25 year old men are 6 feet, 2 inches tall

(b) What percentage of 25 year old men in the 6 footer club are over 6 feet. 5 inches.

Now,

(a) To calculate the percentage of men, we have to calculate the probability

P[Height of a 25 year old man is over 6 feet 2 inches]= P[X> $74in$ ]

P[X>74] = P[ $\frac{X-g}{o}$ > $\frac{74-71}{2.5}$ ]

= P[Z > 1.2]

= 1 - P[Z ≤ 1.2]

= 1 - Ф (1.2)

= 1 - 0.8849

= 0.1151

Thus, percentage of 25 year old men that are above 6 feet 2 inches is 11.5%.

(b) P[Height of 25 year old man is above 6 feet 5 inches gives that he is above 6 feet] = P[X, $6ft$ $5in$ - X, $6ft$ ]

P[X > $6ft$ $5in$ I X > $6ft$ ] = P[X > 77 I X > 72]

= $\frac{P[X > 77]}{P[ X > 72]}$

= $\frac{P[\frac{X - g}{o}>\frac{77-71}{2.5}] }{P[\frac{X-g}{o} >\frac{72-71}{2.5}] }$

= $\frac{P[Z >2.4]}{P[Z>0.4]}$

= $\frac{1-P[Z\leq2.4] }{1-P[Z\leq0.4] }$

= $\frac{1-0.9918}{1-0.6554}$

= $\frac{0.0082}{0.3446}$

= 0.024

Thus, Percentage of 25 year old men in the 6 footer club that are above 6 feet 5 inches are 2.4%.

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4 years ago

Evaluate the expression when g = 6 and h = 7 <br> h + 9g

Norma-Jean [14]

Sub the numbers in
7 + 9(6)
=7 + 54
=61

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3 years ago

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sergeinik [125]

three consecutive integers

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This means that the three integers are 25, 26 and 27.

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3 years ago

the formula to find the volume of a sphere is v=4/3 π3^ , where r is the radius of the sphere. what is the formula in terms or r

poizon [28]

V = 4/3πr^3

3V = 4πr^3

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4 years ago

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Which Value From The Number Set 1,3,5,7 Makes The Inequality X+5>10 True

Ne4ueva [31]

Put all number choices in for x. 1+5=6, 3+5=8, 5+5=10, 7+5=12. The equation says that the answer has to be greater than ten. 6 and 8 are less than ten, and ten is equal to ten, so the only answer is 7, because 7+5=12 :)

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3 years ago