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miskamm [114]
3 years ago
8

the sum of two numbers is -17 one of the numbers is seven less than the other what are the two numbers?​

Mathematics
1 answer:
dmitriy555 [2]3 years ago
5 0

Answer:

-12 and -5

Step-by-step explanation:

a+b=-17

b-a=7

b=7+a

a+7+a=-17

2a+7=-17

2a=-17-7

2a=-24

a=-12

-12+b=-17

b=-17+12

b=-5

so a and b are -12 and -5 respectively

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Answer:

3.8

Step-by-step explanation:

the absolute value of any negative number is going to be positive.

6 0
4 years ago
Which of the following describe an angle with a vertex at E.
Dima020 [189]

Answer:

A and B are correct

Step-by-step explanation:

The middle letter represents the vertex of an angle. For instance, angle ABC has a vertex at B. Because the letter "e" is in the middle of angle FED and angle DEF, it represents the vertex of those angles. Hope this helps

5 0
2 years ago
Two candidates face each other in an election. The Democratic candidate is supported by 46% of the population, and the Republica
7nadin3 [17]

Answer:

27.98% probability that less than half of them (3 or fewer) would support the Republican candidate

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they support the Republican candidate, or they do not. The people are chosen at random, which means that the probability of them supporting the republican candidate is independent from other people. So we use the binomial probability distribution to solve this problem.

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 this problem we have that:

The Republican candidate is supported by 54%. This means that p = 0.54

Suppose you run a poll of 8 people (randomly choose 8 people). What is the probability that less than half of them (3 or fewer) would support the Republican candidate?

This is P(X \leq 3) when n = 8.

So

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

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

P(X = 0) = C_{8,0}.(0.54)^{0}.(0.46)^{8} = 0.0020

P(X = 1) = C_{8,1}.(0.54)^{1}.(0.46)^{7} = 0.0188

P(X = 2) = C_{8,2}.(0.54)^{2}.(0.46)^{6} = 0.0774

P(X = 3) = C_{8,3}.(0.54)^{3}.(0.46)^{5} = 0.1816

So

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0020 + 0.0188 + 0.0774 + 0.1816 = 0.2798

27.98% probability that less than half of them (3 or fewer) would support the Republican candidate

3 0
3 years ago
There are four hundred students as Thompson Middle School. If 54% of the students are female, what is the ratio of female to mal
laila [671]

Answer:

1:3

Step-by-step explanation:

I think...

54% of 400= 216

400/216= 1.85

8 0
4 years ago
8+15.5×10-(5/4-1/4) please help
mr Goodwill [35]

Answer:

163

Step-by-step explanation:

hope this helps,your welcome

8 0
4 years ago
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