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makkiz [27]
4 years ago
13

A four-person committee is chosen from a group of eight boys and six girls.

Mathematics
2 answers:
Sergio039 [100]4 years ago
6 0

Answer:

30.3%

Step-by-step explanation:

To find the probability of all people in the committee being boys, we have:

First person boy: 8 boys among 14 people: P1 = 8/14 = 4/7

Second person boy: 7 boys among 13 people: P1 = 7/13

Third person boy: 6 boys among 12 people: P1 = 6/12 = 1/2

Fourth person boy: 5 boys among 11 people: P1 = 5/11

So the final probability is:

(4/7) * (7/3) * (1/2) * (5/11) = (4*7*5)/(7*3*2*11) = (2*5)/(3*11) = 10/33 = 0.303 = 30.3%

maw [93]4 years ago
4 0

Answer: 70/1001

Step-by-step explanation:

Choosing 4 boys from total of 8 boys is a combination of 8 when 4 is taken at a time:

8C4 = 8!/4!4!

= 70

Since they are all boys, that means we are choosing 0 girl from the 6 girls.

6C0 = 6!/6!0!

= 1

Choosing 4 students from a total of 6+8=14 students is a combination of 14 when 4 people is taken at a time:

14C4 = 14!/10!4!

= 1001

This will give a probability of:

(70 × 1)/1001

= 70/1001

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A 16 ounce box of cereal cost $3.04 , what is the unit cost ?
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Answer:

<h2>19.99(x+3)+ 14.99(y+4)</h2>

Step-by-step explanation:

Step one:

given data

day one

x shirts that cost $19.99 each and

y pairs of shorts that cost $14.99 each.

Day two

3 more shirts that cost $19.99 each and

4 more pairs of shorts cost $14.99 each.

Step two:

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The function f(x)=Acosh(Cx)+Bsinh(Cx). I need help determining the value of constant C&gt;0 when the second derivative f''(x)=25
Rus_ich [418]

Answer:

C = 5.

Step-by-step explanation:

First, you need to remember that:

For the function:

h(x) = Sinh(k*x)

We have:

h'(x) = k*Cosh(k*x)

and for the Cosh function:

g(x) = Cosh(k*x)

g'(x) = k*Cosh(k*x).

Now let's go to our problem:

We have f(x) = A*cosh(C*x) + B*Sinh(C*x)

We want to find the value of C such that:

f''(x) = 25*f(x)

So let's derive f(x):

f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)

and again:

f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)

f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)

And we wanted to get:

f''(x) = 25*f(x) = C^2*f(x)

then:

25 = C^2

√25 = C

And because we know that C > 0, we take the positive solution of the square root, then:

C = 5

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3 years ago
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