If M/N=5 then what is the answer to m^2−25n^2?

Pleas Solve quickly, thank you.

Answers

Answer 1

Answer: if..m/n = 5

then .. m = 5n
substitute 5n for m
(5n)² - 25n²
25n² - 25n² = 0

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Adult tickets for the movies are $11.50 each and child tickets are $8.75 each. How much would a family with 3 adults and 5 children pay for their tickets? (Multi-Step)

Answers

Answer:

$78.25

Step-by-step explanation:

Each adult = $11.50

Each child = $8.75

3 adults and 5 children

(11.50 x 3) + (8.75 x 5)

34.5 + 43.75 = $78.25

11.50 x 3 = 34.50

8.75 x 5 = 43.75

34.50 + 43.75 = 78.23

$78.23

Ryan and Taylor are both saving money to buy new video game

Answers

Hope they get enough saved.

Some parts of California are particularly earthquake- prone. Suppose that in one metropolitan area, 25% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random; let X denote the number among the four who have earthquake insurance. a. Find the probability distribution of X. [Hint: Let S denote a homeowner who has insurance and F one who does not. Then one possible outcome is SFSS, with proba bility (.25)(.75)(.25)(.25) and associated X value 3. There are 15 other outcomes.] b. Draw the corresponding probability histogram. c. What is the most likely value for X

Answers

Answer:

a. Binomial random variable (n=4, p=0.25)

b. Attached.

c. X=1

Step-by-step explanation:

This can be modeled as a binomial random variable, with parameters n=4 (size of the sample) and p=0.25 (proportion of homeowners that are insured against earthquake damage).

a. The probability that X=k homeowners, from the sample of 4, have eartquake insurance is:

$P(x=k) = \dbinom{n}{k} p^(k)(1-p)^(n-k)\n\n\nP(x=k) = \dbinom{4}{k} 0.25^(0)\cdot0.75^(4)$

The sample space for X is {0,1,2,3,4}

The associated probabilties are:

$P(x=0) = \dbinom{4}{0} p^(0)(1-p)^(4)=1*1*0.3164=0.3164\n\n\nP(x=1) = \dbinom{4}{1} p^(1)(1-p)^(3)=4*0.25*0.4219=0.4219\n\n\nP(x=2) = \dbinom{4}{2} p^(2)(1-p)^(2)=6*0.0625*0.5625=0.2109\n\n\nP(x=3) = \dbinom{4}{3} p^(3)(1-p)^(1)=4*0.0156*0.75=0.0469\n\n\nP(x=4) = \dbinom{4}{4} p^(4)(1-p)^(0)=1*0.0039*1=0.0039\n\n\n$

b. The histogram is attached.

c. The most likely value for X is the expected value for X (E(X)).

Is calculated as:

$E(X)=np=4\cdot0.25=1$

Why is math so hard to Figer out

Answers

Answer:

i cant Figer that out.

Answer:

because life is hard

Step-by-step explanation:

ik it sucks i hate it too

A woman leaves home and walks 3 mi. west, and then 4 mi. south. What is the magnitude of her displacement? Note: they are not asking you to add how far she went west and south. They are asking how far she is from home if she went directly back. Think of a triangle.