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soldier1979 [14.2K]
2 years ago
6

Which fractions are equivalent to 4/5 and 2/7

Mathematics
1 answer:
8090 [49]2 years ago
5 0

Answer: b

Step-by-step explanation:

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An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes ar
konstantin123 [22]

Complete question :

An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.

a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?

Answer:

0.17

0.29686

0.000092

Step-by-step explanation:

Given that :

Probability of success (p) = 0.3

Number of cases (n) = 15

1 - p = 1 - 0.3 = 0.7

Usung binomial distribution formula :

a. What is the probability that exactly 3 of these 15 crimes will be solved?

P(x = 3)

Recall:

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 15C3 * 0.3^3 * 0.7^12

P(x = 3) = 455 *

P(x = 3) = 0.17

B.) What is the probability that at most 3 of these 15 crimes will be solved?

P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

To save computation time, we can using the binomial probability calculator :

P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686

c. What is the probability that more than 11 of these 15 crimes will be solved?

P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)

P( X > 11) = 0.000092

7 0
3 years ago
Solve for k: 4 + k/6 = x times 4
loris [4]
Here is your answer....

3 0
3 years ago
A polynomial is to be constructed that will touch the x axis at most 8 times. What is the minimum degree of the polynomial?
slamgirl [31]
Every degree is a touching point since each root factor is an  x intercept

therefor the answer is 8th degree
3 0
3 years ago
A bottle holds 5/12 gallon of water. How many bottles can be filled with 2 1/4<br> gallons of water?
tekilochka [14]

Answer: 0.185 gallons

Step-by-step explanation:

Divide 5/12 by 2 1/4

First convert the improper fraction to a proper fraction, 2 1/4 = 9/4

5/12 ÷ 9/4

= 5/12 × 4/9

= 5/27 = 0.185

6 0
3 years ago
Use the probability distribution table to answer the question.
ludmilkaskok [199]

Answer:

1. 0.21 like that has happened

6 0
3 years ago
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