In a group of 42 students, 9 study both Art and Biology.

1 answer:

3 0

Answer:
The probability the student studies Art and
Biology is 0.2143.
Step-by-step explanation:
Denote the events as follows:
A = a students studies Art
B= a students studies Biology
The information provided is:
N = 42
n (An B) = 9
n (A' n B) = 10
n (A' n B') =7
Then the number of students who study Art
but not Biology is:
n(An B') = N -n (An B) -n (A' nB) - n (A'n B')
= 42 - 10 - 7 - 9
= 16
The number of students who study Art but
not Biology is 16.
Compute the probability the student studies
Art and Biology as follows:
P(ANB)
n(ANB)
= 0.2143
Thus, the probability the student studies Art
and Biology is 0.2143.

You might be interested in

Given r(x) = x square +2x -1 and s(x) = x-1 what is the value of r(s(3))

Amanda [17]

Answer:

$r(s(3))=7$

Step-by-step explanation:

we have

$r(x)=x^{2} +2x-1$

$s(x)=x-1$

we know that

The function composition is equal to

(r ∘ s )(x) = r(s(x))

In the function r(x) substitute the variable x by the function s(x)

$r(s(x))=(x-1)^{2} +2(x-1)-1$

For x=3

substitute the value of x=3 in the function composition

$r(s(3))=(3-1)^{2} +2(3-1)-1$

$r(s(3))=(2)^{2} +2(2)-1$

$r(s(3))=4+4-1$

$r(s(3))=7$

3 0

2 years ago

Max wrote the number 0.785. After multiplying his number by a power of 10, he arrived at the number 7,850.0. What power of 10 di

kondaur [170]

Answer:

10 to the 4th power

Step-by-step explanation:

the decimil point was moved four spaces to the right resutiong to the 4th power.

6 0

2 years ago

A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.93. Assume indepen

noname [10]

Answer:

There is a 99.99998% probability that at least one valve opens.

Step-by-step explanation:

For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$