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Mkey [24]
3 years ago
11

According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. in a random s

urvey of 10 women in this age group, what is the probability that at least eight were married?
Mathematics
2 answers:
MAXImum [283]3 years ago
8 0

This is a case of binomial distribution. The formula used in calculations for binomial probability is:

P = nCr p^r (1-p)^(n-r) 

Where,

P = probability

nCr = combinations of r from n possibilities

p = success rate = 40% = 0.40

n = sample size = 10

 

<span>1st: Let us calculate for nCr for r = 8 to 10. Formula is:</span>

nCr = n! / r! (n-r)! 

10C8 = 10! / 8! 2! = 45

10C9 = 10! / 9! 1! = 10

10C10 = 10! / 10! 0! = 1

 

Calculating for probabilities when r = 8 to 10:

P (r=8) = 45 * 0.4^8 (0.6)^2 = 0.0106

P (r=9) = 10 * 0.4^9 (0.6)^1 = 0.0016

P (r=10) = 1 * 0.4^10 (0.6)^0 = 0.0001

 

Total probability that at least 8 were married = 0.0106 + 0.0016 + 0.0001

Total probability that at least 8 were married = 0.0123

<span> </span>

sveticcg [70]3 years ago
7 0

Answer:

Step-by-step explanation:

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postnew [5]

Answer:

5^{13}

Step-by-step explanation:

5^{11}\times \:5^2

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  • 5^{11+2}

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7 0
2 years ago
Point Y is in the interior of ∠XWZ. Given that WX→ and WZ→ are are opposite rays, and m∠XWY=4(m∠YWZ) is m∠YWZ?.
EleoNora [17]

Answer:

m∠YWZ=36°

Step-by-step explanation:

Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (WX and WZ) form a single straight line through the common endpoint W.

If rays WX and WZ are opposite, then angle XWZ is straight angle. A straight angle always has the measure of 180°.

Point Y is in the interior of ∠XWZ, then angles XWY and EWZ are supplementary angles (together form straight angle XWZ). Supplementary angles always add up to 180°, then

m∠XWY+m∠YWZ=180°

You are given that

m∠XWY=4(m∠YWZ).

Substitute it into the previous equality:

4(m∠YWZ)+m\angle YWZ=180°

5(m∠YWZ)=180°

m∠YWZ=36°

5 0
3 years ago
Express 84,42 as a percentage of 74,05 rounded off to a whole number
Leto [7]
0.84, 0.42, 75 AND 5

5 0
3 years ago
Line A goes through the points (1, 5) and (-1, 9). Line B goes through the points (0, 2) and (4, -6). Which of the following sta
Delvig [45]
B is correct. Explanation Below:
---
Line A never intersects Line B, as they are parallel lines-the slopes are the same-and parallel lines never intersect. 
Line A's Slope: (9-5)/(-1-1) = -2
Line B's Slope: (-6-2)/(4-0) = -2
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Hope this helps!
7 0
3 years ago
What is the measure of \angle x∠xangle, x?<br> Angles are not necessarily drawn to scale.
GuDViN [60]

Answer:

31

Step-by-step explanation:

x + 149 = 180

x = 180 - 149

x = 31

Answer: 31

3 0
2 years ago
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