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3 years ago

darmesh has a square garden with a perimeter of 132 square feet is the area of the garden greater than 1000 square feet?

1 answer:

6 0

Yes. To figure it out you would have to do 132 ÷4 =33 since it is a square so all sides are the same length. Then to get the area you would have to multiply length x width which would be 33 x 33 = 1089

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The product of a number and -3 increased by 8 is 20

Roman55 [17]

Answer:

The answer would be -4.

Step-by-step explanation:

This is because the product of a number and -3 must be 8 less than 20, which is 12. And -3 times -4 is 12.

8 0

3 years ago

1. Write the following degrees in radian measure

ale4655 [162]

I’m on the same question sis ♥️

5 0

3 years ago

Solve for W <br> 4w^2+9w= -2

7nadin3 [17]

Answer:

$w_1=-\frac{1}{4},w_2=-2}$

Step-by-step explanation:

$4w^2+9w=-2$

$4w^2+9w+2=0$

$w^2+9w+8=0$

$(w+1)(w+8)=0$

$(4w+1)(w+2)=0$

$w_1=-\frac{1}{4},w_2=-2}$

3 0

2 years ago

Approximately 14 percent of the population of Arizona is 65 years or older. A random sample of five persons from this population

Andreas93 [3]

Answer:

A)0.8533

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are 65 or older, or they are not. The probability of a person being 65 or older 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.

14 percent of the population of Arizona is 65 years or older.

This means that $p = 0.14$

A random sample of five persons from this population is taken.

This means that $n = 5$

The probability that less than 2 of the 5 are 65 years or older is :

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

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

$P(X = 0) = C_{5,0}.(0.14)^{0}.(0.86)^{5} = 0.4704$

$P(X = 1) = C_{5,1}.(0.14)^{1}.(0.86)^{4} = 0.3829$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.4704 + 0.3829 = 0.8533$

So the correct answer is:

A)0.8533

3 0

3 years ago

You are asked to do a study of shelters for abused and battered women to determine the necessary capacity in your city to provid

ohaa [14]

Answer:

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

274 shelters will be needed.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 250, \sigma = 75$