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GrogVix [38]
3 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]3 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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(1 point) There were 23.7 million licensed drivers in California in 2009 and 22.76 million in 2004. Find a formula for the numbe
Salsk061 [2.6K]

Answer:

N(t) = 0.188t + 22.76

Step-by-step explanation:

Number of licensed drivers in 2004 = 22.76 million

Number of licensed drivers in 2009 = 23.7 million

Number of licensed drivers, N as a function of t since year 2004 ;

General form of a linear function :

y = mx + c

c = intercept ; m = slope

Intercept c = value of y ; when x = 0

Here, population after uerssmmx,

Hence,

In 2004 ;

22.76 = mx + c

x = 0

22.76 = c

Number in 2009

x = number of yesrs after 2004 ; x = 2000 - 2004 = 5years

We can find the slope :

y = m*5 + 22.76

y = 23.7 in 2009

23.7 = 5m + 22.76

23.7 - 22.76 = 5m

m = 0.94 / 5

m = 0.188

Hence, the linear function can be written as :

N(t) = 0.188t + 22.76

8 0
3 years ago
The screen on Lin's cell phone allows for 8 lins of text per message. The maximum number of characters for each message is 10. H
julia-pushkina [17]
There will 80 characters per each line hold. Hope it help!
8 0
3 years ago
Tina is growing sunflowers in her garden. The flowers are currently 6 inches tall each week x, they will double in size . Which
Alika [10]
For this case we have an equation of the form:
 y = A (b) ^ x
 Where,
 A: initial height
 b: growth rate
 x: time
 Substituting values we have:
 y = 6 (2) ^ x
 Answer:
 
An equation that best represent how tall the sunflower will b in x weeks is:
 
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6 0
3 years ago
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lesantik [10]
The answer here would be D
4 0
3 years ago
A certain company employs 6 senior officers and 4 junior officers. If a committee is to be created that is made up of 3 senior o
Zigmanuir [339]

Answer:

80

Step-by-step explanation:

A certain company employs 6 senior officers and 4 junior officers. If a committee is to be created that is made up of 3 sr officers and 1 jr officer, how many different committees are possible?

8

24

58

80*

210

I initially got this one wrong, but after I saw the answer which is 80, I was able to solve it. But im not sure if this is the proper way of solving it, or if someone can suggest a more efficient way of solving it?

This is what I did, which was wrong:

Sr Officers + Jr Officers

(6!/3! 3! = 20) + (4!/3! = 4) = 24

It seems like the correct answer is:

Sr Officers X Jr Officers

(6!/3! 3! = 20) x (4!/3! = 4) = 80

If this is the most efficient way of solving, when do you know when to add them as opposed to multiplying them in this case?

7 0
2 years ago
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