Consider the following function,

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

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In a class 27 of students, 12 have a cat and 11 have a dog. There are 5 students who have a cat and a dog. What is the probabili

frosja888 [35]

Answer:

41.67% probability that a student has a dog given that they have a cat

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: having a cat.

Event B: having a dog.

12 of 27 students have a cat:

This means that $P(A) = \frac{12}{27}$

5 students who have a cat and a dog.

This means that $P(A \cap B) = \frac{5}{27}$

What is the probability that a student has a dog given that they have a cat?

$P(B|A) = \frac{\frac{5}{27}}{\frac{12}{27}} = \frac{5}{12} = 0.4167$

41.67% probability that a student has a dog given that they have a cat

6 0

4 years ago

The price of a new car is $29,990. If the sales tax rate is 6.5%, then how much sales tax is being charged? What is the total co

Zanzabum

29990
10%=29990/10=2999
1%=2999/10=299.90
0.5%=299.90/2=149.95
6%=299.90x6=1799.40
6.5%=1799.50+149.95=$1949.35 tax

total +tax
29990+1949.35=$31395.35

hope this helps

8 0

3 years ago

Rewrite 6(10+2) using the distributive property. Then simply.

Montano1993 [528]

$\begin{gathered} 6(10+2)=(6\cdot10)+(6\cdot2) \\ 6(10+2)=60+12 \\ 6(10+2)=72 \end{gathered}$

Explanation

the distributive property states that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together