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Mnenie [13.5K]
3 years ago
6

Consider the following function,

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
6 0

Answer:

C

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

a(b+c)=ab+ac

so

Step 1

6(10+2)

apply the distributive property

6(10+2)=(6\cdot10)+(6\cdot2)

now, calculate ot simplify

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

I hope this helps you

5 0
1 year ago
An artist can paint 4 paintings in 2 hours. What is the artist's unit rate?
myrzilka [38]
2 paintings in 1 hour
3 0
4 years ago
Read 2 more answers
A bike costs $200 but is reduced by 35% how much does the bike cost now?
iVinArrow [24]

Answer:

The bike costs $130.

Step-by-step explanation:

1) 200 x 0.35 = 70

2) 200 - 70 = 130

4 0
3 years ago
Read 2 more answers
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