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mel-nik [20]
3 years ago
13

What is the value of x?

Mathematics
1 answer:
alexandr402 [8]3 years ago
8 0
What is the equation?
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In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts. Find the probability t
torisob [31]

Answer:

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

Step-by-step explanation:

For each theft, there are only two possible outcomes. Either the need to buy drugs is the reason of the theft, or it is not. Each theft is independent of each other. So we use the binomial probability distribution to solve this question.

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}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts.

This means that p = 0.7

Find the probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

This is P(X = 3) when n = 7. So

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

P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

5 0
3 years ago
Find h(-5) for the function h(x)= -5x+9.<br> h(-5) =
Helga [31]

Answer:

h(-5) = 34

Step-by-step explanation:

h(x) = -5x + 9

h(-5) = -5(-5) + 9 = 25 + 9 = 34

7 0
3 years ago
Can 8/45 be simplified as a fraction
max2010maxim [7]

Answer:

Step-by-step explanation:

isn't it already a fraction or is it a division

if it's a division then yes

the answer is 5 and 2/8

8 0
3 years ago
An employee’s wages are directly proportional to the time worked.If an employee earns $105 for 7 hours how much will the employe
stich3 [128]

Answer:

600

Step-by-step explanation:

105/7 * x/40

7x=4,200

x=600

8 0
3 years ago
Verilenlerden<br>hangisi birim<br>kesirdir?<br>2/5<br>B<br>5/8<br>2/3<br>D<br>​
o-na [289]

Answer:

2/3 ..................

4 0
3 years ago
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