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3 years ago

Find the midpoint between R(1, -3) and S(4,2)

Mathematics

1 answer:

zalisa [80]3 years ago

8 0

Answer:

( $\frac{5}{2}$ ), $-\frac{1}{2}$

Step-by-step explanation:

Formula:

Add both "x" coordinates, divide by 2

Add both "y" coordinates, divide by 2

~I hope I helped you! :)~

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36. in a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president, vice president, and treasu

viktelen [127]

Using the permutation formula, it is found that the people can be chosen for the roles in 6840 ways.

The order in which the people are chosen is important, as there are different roles, hence the <em>permutation formula</em> is used.

<h3>What is the permutation formula?</h3>

The number of possible permutations of <u>x elements from a set of n elements</u> is given by:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this problem, 3 people will be chosen from a set of 20 people, hence the number of ways is given by:

$P_{20,3} = \frac{20!}{17!} = 6840$

More can be learned about the permutation formula at brainly.com/question/25925367

#SPJ1

3 0

2 years ago

Factor the expression. 81y+54

seraphim [82]

Answer:

27 • (3y + 2)

Step-by-step explanation:

27 • (3y + 2)

Hope this helps

4 0

3 years ago

Pete is a politician. He claims that 32% of the households in his district have total household incomes below the poverty level.

victus00 [196]

Answer:

$z=\frac{0.3867 -0.32}{\sqrt{\frac{0.32(1-0.32)}{225}}}=2.145$

For a bilateral test the p value would be:

$p_v =2*P(z>2.145)=0.0320$

Step-by-step explanation:

Information given

n=225 represent the sample selected

X=87 represent the households with incomes below the poverty level

$\hat p=\frac{87}{225}=0.3867$ estimated proportion of households with incomes below the poverty level

$p_o=0.32$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to check if the true proportion is equal to 0.32 or not.:

Null hypothesis: $p=0.32$

Alternative hypothesis: $p \neq 0.32$

The statistic is given bY:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.3867 -0.32}{\sqrt{\frac{0.32(1-0.32)}{225}}}=2.145$

For a bilateral test the p value would be:

$p_v =2*P(z>2.145)=0.0320$

4 0

4 years ago

Henry wants to join a book of the month club. The first club costs $30 to join and $10 per

Lena [83]

Answer:

Step-by-step explanation:

7 0

3 years ago

In the given figure x = 145°. What theorem can be used to prove the lines p and q are parallel?

Gemiola [76]

C alternate exterior angles converse theorem

When two lines are parallel the alternate exterior angles are congruent

4 0

3 years ago