What is the slope of the line that passes through the points (-10, -4) and (10, -29)? Write the answer in simplest form.

Mathematics

1 answer:

wariber [46]3 years ago

8 0

That looks difficult to do

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22% of all resumes received by a corporation for a management position are from females. 18 resumes will be received tomorrow.

Vladimir79 [104]

Answer:

5.80% probability that exactly 1 resume will be from females.

Step-by-step explanation:

For each resume received by the corporation, there are only two possible outcomes. Either they are from a female, or they are not. The probability of a resume received being from a female is independent from other resumes. 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.

22% of all resumes received by a corporation for a management position are from females.

This means that $p = 0.22$

18 resumes will be received tomorrow.

This means that $n = 18$

What is the probability that exactly 1 resume will be from females?

This is P(X = 1).

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

$P(X = 1) = C_{18,1}.(0.22)^{1}.(0.78)^{17} = 0.0580$

5.80% probability that exactly 1 resume will be from females.

3 0

4 years ago

And here is the other one.

LUCKY_DIMON [66]

Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:

-4x+33 = 2x+81
-2x -2x
————————
-6x +33 = 81
-33 -33
————————
-6x = 48
————- (divide by -6)
-6

x = -8

Now substitute that to ABD
-4(-8) +33
32 +33
=65

here’s CBD
2(-8) + 81
-16 + 81
=65

Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.

ANSWERS: (angles)
ABD and CBD: 65
ABC: 130

3 0

3 years ago

How do i write b + 3 = b^2 in verbal expression

igor_vitrenko [27]

Answer:

b plus 3 is equal to b squared

7 0

3 years ago

Plz help fast

xz_007 [3.2K]

Answer:

the function y=5x+5