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3 years ago

Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?

Mathematics

2 answers:

snow_lady [41]3 years ago

3 0

The converse alternate exterior angles theorem justifies why lines j and k must be parallel.

The converse alternate exterior angles theorem states that if two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.

prisoha [69]3 years ago

3 0

Answer:

Step-by-step explanation:

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Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability,

Maurinko [17]

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that 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.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that $p = 0.08$

Sample of 11 college graduates:

This means that $n = 11$

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

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

$P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662$

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

4 0

3 years ago

Please help me thank u so much

alex41 [277]

Answer:

28/5= 5 3/5 15/7= 2 1/7 21/4=5 1/4

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Plz help me solve this

posledela

1.-28×-28×-28+13×13×13+16×16×16

=21,952+2,197+4,096

=28,245.

2.12×12×12+-7×-7×-7+-5×-5×-5

=1,728+-343+-125

=1,260

6 0

3 years ago

How do i express x^2-3x into the form of (x-m)^2+n. I will give brainliest to correct answer

mel-nik [20]

Step-by-step explanation:

let's simply do the multiplications and then compare with the original.

(x-m)² + n

right ?

or is it

${(x - m)}^{2 + n}$

let's go for the first.

x² - 2mx + m² + n = x² - 3x

-2mx + m² + n = -3x

fun there we see two things :

-2m = -3

m = 3/2

and

m² + n = 0

(3/2)² = -n

9/4 = -n

n = -9/4

so our transformed expression looks like

(x - 3/2)² - 9/4

7 0

3 years ago

What is the measure of the third angle?

SCORPION-xisa [38]

The total amount of degrees in a triangle is 180. All three angles should add up to 180˚

We know that 40+60 = 100

The next step is to do 180-100 to get the other angle.
180-100 = 80

So the measure of the third angle is 80˚

Hope this helps!

(Also if you want to do this in one equation, you would do 40+60+x = 180
40+60+x = 180
100+x = 180 (combine like terms)
x = 80 (Subtract 100 from both sides)

7 0

3 years ago