Find the sum:

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

2 years ago

A local salesman receives a base salary of $975 monthly. He also receives a commission of 7% on all sales over $1250. How much w

slava [35]

Answer:

$17,321.43

Step-by-step explanation:

The amount of monthly income from commissions would have to be ...

$2100 -975 = $1125

This is 7% of sales over $1250, so the sales (s) would need to be ...

1125 = 0.07(s -1250)

1125 = .07s -87.50 . . eliminate parentheses

1212.50 = 0.07s . . . . add 87.50

17,321.43 = s . . . . . . . divide by 0.07

He would have to sell $17,321.43 in a month if he needed an income of $2100.

8 0

2 years ago

In ΔNOP, the measure of ∠P=90°, the measure of ∠N=59°, and PN = 7.4 feet. Find the length of OP to the nearest tenth of a foot.

lina2011 [118]

Answer:

12.3 feet.

Step-by-step explanation:

As we are given that $\triangle NOP$ is an right angled triangle.

$\angle P = 90 ^\circ \\\angle N = 59 ^\circ\\Side\ PN = 7.4 \text{ feet}$

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.

By using Trigonometric functions in a right angled $\triangle$ , we know that:

$tan \theta = \frac{Perpendicular}{Base}$

Here, $\theta$ is $\angle N$ , Perpendicular is side OP and Base is side PN.

So, $tan 59^\circ = \frac{OP}{PN}$

$\Rightarrow OP = PN \times tan59^\circ$

Putting the values of PN and $tan59^\circ$ .

$OP = 1.66 \times 7.4\\\Rightarrow OP = 12.3 ft$

Hence, the value of OP is $12.3\ feet$ .

8 0

2 years ago

Find the circumference and the area of a circle with diameter 7 cm.

Ilia_Sergeevich [38]

Answer:

21.98 is the circumference because is it 7 pi 7 times 3.14. For the area though it is 38.48 because you need to get the radius of the circle and you divided 7 by 2 which is 3.5 and here is the work A=πr2=π·3.52≈38.48451

Step-by-step explanation:

Hope this helped and you understood if you want it would help a lot if you put it brainliest.

3 0

2 years ago

Please help me, haha...

sashaice [31]

Yup the answer is C !!

3 0

2 years ago