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GrogVix [38]
2 years ago
7

Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gen

der of any other children. Find the probability of exactly nine boys in ten births. Round the answer to the nearest thousandth.
Mathematics
1 answer:
Ugo [173]2 years ago
5 0

Answer:

P(9 boys/10births)= approx 0.01

Step-by-step explanation:

Lets indicate the BOY=B and the GIRL=G

We investigate the case of 10 kids births.

That means that each possible outcome of the event is looking like that:

X-X-X-X-X-X-X-X-X-X

In each position of X letter can be as letter B  as letter G (2 possible options).

So the total amount of the outcomes is 2^10  =1024

The number of the outcomes where the amount of letter B =9 is 10.

(the outcomes are as follows)

1).  G BBB BBB BBB

2)  B GBB BBB BBB

3). B BGB BBB BBB  

4). B BBG BBB BBB

5). B BBB GBB BBB

6) B BBB BGB BBB

7) B BBB BBG BBB

8) B BBB BBB GBB

9) B BBB BBB BGB

10) B BBB BBB BBG

Or we can calculate it from formulae A10(9)= 10!/9! =10

So the probability of 9 boys in ten births is

P(9Boys/10)= 10/1024=0.009765625= approx. 0.01

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No this data set is not a function because two points have x coordinates of 4

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7 0
3 years ago
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What is 6,4 rounded to the nearest whole number
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6.4 rounded to the nearest whole number will be 6.

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6 0
2 years ago
2x+5y=20. , -2x+20y=-90. one solution. infinity many ir no solution. use elimination to find your answer​
scoundrel [369]
2x+5y=20
X=10-2.5y

-2(10-2.5y)+20y=-90
-20+5y+20y=-90
25y=-70
Y=2.8

2(2.8)+5y=20

5.6+5y=20
5y=14.4
Y=2.88

CHECK:
2(2.8)+5(2.88)=20

5 0
3 years ago
Please help me evaluate the expression 10a + 7 if a =1/5
sattari [20]

Answer:

9

Step-by-step explanation:

10a+7

<u>10(1/5)</u> + 7

<u>2+7</u>

9

6 0
2 years ago
Approximate the area under the curve over the specified interval by using the indicated number of subintervals (or rectangles) a
devlian [24]

Answer:

The area under the function \int\limits^3_1 {9-x^2} \, dx \approx 7.25..

Step-by-step explanation:

We want to find the Riemann Sum for \int\limits^3_1 {9-x^2} \, dx with 4 sub-intervals, using right endpoints.

A Riemann Sum is a method for approximating the total area underneath a curve on a graph, otherwise known as an integral.

The Right Riemann Sum is given by:

\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_1)+f(x_2)+f(x_3)+...+f(x_{n-1})+f(x_{n})\right)

where \Delta{x}=\frac{b-a}{n}

From the information given we know that a = 1, b = 3, n = 4.

Therefore, \Delta{x}=\frac{3-1}{4}=\frac{1}{2}

We need to divide the interval [1, 3] into 4 sub-intervals of length \Delta{x}=\frac{1}{2}:

\left[1, \frac{3}{2}\right], \left[\frac{3}{2}, 2\right], \left[2, \frac{5}{2}\right], \left[\frac{5}{2}, 3\right]

Now, we just evaluate the function at the right endpoints:

f\left(x_{1}\right)=f\left(\frac{3}{2}\right)=\frac{27}{4}=6.75

f\left(x_{2}\right)=f\left(2\right)=5=5

f\left(x_{3}\right)=f\left(\frac{5}{2}\right)=\frac{11}{4}=2.75

f\left(x_{4}\right)=f(b)=f\left(3\right)=0=0

Next, we use the Right Riemann Sum formula

\int\limits^3_1 {9-x^2} \, dx \approx \frac{1}{2}(6.75+5+2.75+0)=7.25

7 0
3 years ago
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