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1 year ago

Rhombus RSTU is congruent to rhombus

1 answer:

6 0

Rhombus RSTU is congruent to WXYZ, and are translational images of each other because all their sides and angles are equal

<h3>What are the properties of a rhombus?</h3>

Some of the properties of a rhombus are;

The sides are congruent.

All the opposite sides are parallel to each other.

Diagonals bisect each other perpendicularly.

The angles are supplementary, that is, they add up to 180°

If Rhombus RSTU is congruent to WXYZ, then they are both translation images of each other because all their sides and angles are equal.

Learn more about a rhombus here:

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A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele

liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. 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.

5% of Americans are afraid of being alone in a house at night.

This means that $p = 0.05$

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

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

$P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596$

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0

3 years ago

1. Rational or irrational?<br> 11/5

nignag [31]

The answer is irrational

4 0

2 years ago

Read 2 more answers

Whats is the diference of:

grandymaker [24]

Answer:

$2h^2$

Step-by-step explanation:

=> $(10h^4+h^2)-(10h^4-h^2)$

=> $10h^4+h^2-10h^4+h^2$

=> $h^2+h^2$

=> $2h^2$

7 0

3 years ago

How do you write a percent into a fraction or a mixed number in simplest form

love history [14]

To change a percent to a fraction, you remove the percent sign and put the given number over 100. For example, if you are given 78%, it would be 78/100 or 39/50

4 0

2 years ago

Roy Gross is considering an investment that pays 7.6 percent, compounded annually. How much will he have to invest today so that

Debora [2.8K]

Answer: he should invest $16129 today.

Step-by-step explanation:

Let $P represent the initial amount that should be invested today. It means that principal,

P = $P

It would be compounded annually. This means that it would be compounded once in a year. So

n = 1

The rate at which the principal would be compounded is 7.6%. So

r = 7.6/100 = 0.076

The duration of the investment would be 6 years. So

t = 6

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 25000

Therefore

25000 = P(1+0.076/1)^1×6

25000 = P(1.076)^6

25000 = 1.55P

P = 25000/1.55

P = $16129

4 0

3 years ago