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alex41 [277]
2 years ago
12

Simplify: 13x - y - y + 7y - 12x

Mathematics
1 answer:
Citrus2011 [14]2 years ago
8 0
The answer is x + 5y. You have to combine like terms
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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
2 years ago
A function follows the rule y = -75 - 5 x . When the function's output is 25, the equation is 25 = -75 - 5 x .
Alex787 [66]

Answer:

The function's input = x = -20

Step-by-step explanation:

Given the function

y = -75 - 5x

Given that the output = y = 25

substituting the value y=25 and solve to find the input 'x'

25 = -75 - 5x

5x = -75-25

5x = -100

Divide bothe side by 5

x = -20

Thus, the function's input = x = -20

5 0
3 years ago
b In a hostel. 50 students have food enough for 54 days. How many students should be added in de the hostel so that the food is
lys-0071 [83]
Everybody will one thing a day
6 0
2 years ago
Each small square in the graph paper represents 1 square unit
mrs_skeptik [129]

Answer:

But the graph paper is not here...

4 0
3 years ago
On a map, 1/2 inch represents 10 actual miles. Two towns that are 4 1/2 inches apart on this map are how many actual miles apart
dusya [7]
The answer is E.90

1/2 inches = 10 miles
9(1/2) inches = 4 1/2 inches
9(10) miles = 90 miles
7 0
3 years ago
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