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3 years ago

9

A lawn is shaped like a parallelogram with a base of 30 feet and a height of 12 feet. Covering the lawn with grass will cost $2.

60 per square foot. How much money will it cost to cover the lawn with grass?

1 answer:

Natasha_Volkova [10]3 years ago

3 0

Answer:

$138.46

Step-by-step explanation:

30×12=360

360÷2.60=138.46

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You and your sister went to the store. Your mom gave you $35 to buy a few things. The store charges $4 an hour for parking plus

Sav [38]

Answer:6.5

Step-by-step explanation:35-15=20, 20-12=8, 8-1.50=6.5

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3 years ago

PLEASE HELP PLEAsee before It’s due

xz_007 [3.2K]

The measure of BOC is 47

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4 years ago

The mean rent of a 3-bedroom apartment in Orlando is $1300. You randomly select 10 apartments around town. The rents are normall

lana [24]

Answer:

96.49% probability that the mean rent is more than $1100

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 1300, \sigma = 350, n = 10, s = \frac{350}{\sqrt{10}} = 110.68$

What is the probability that the mean rent is more than $1100?

This is 1 subtracted by the pvalue of Z when X = 1100. So

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

By the Central Limit Theorem

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

$Z = \frac{1100 - 1300}{110.68}$

$Z = -1.81$

$Z = -1.81$ has a pvalue of 0.0351

1 - 0.0351 = 0.9649

96.49% probability that the mean rent is more than $1100

7 0

4 years ago

Everything at a store is on sale for 25% off. The regular price of a jacket is $35.00. What is the discount price?

zalisa [80]

Answer:

$26.25

Step-by-step explanation:

35(1-0.25)

= 35(0.75)

= 26.25

6 0

3 years ago

Read 2 more answers

Find the value of x and y

Natalija [7]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>What does the information want:</u>

value of x
value of y

<u>Let's gather some information</u>:

ΔA'BC' and ΔABC are similar triangles

⇒ Angle B is shared by both triangles

⇒ Angle A' and A are the same, as they are both on parallel

lines, A'C' and AC, and both angles are formed with the

same line AB

⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles

<u>If they are similar triangles</u>:

⇒ their side lengths are proportional to each other

let's find x's value

⇒ let's set up a proportion

$\frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143$

let's find y's value

⇒ let's set up a proportion

$\frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25$

<u>Answer:</u>

<u>x= 17.143</u>
<u>y = 26.25</u>

Hope that helps!

#LearnwithBrainly

5 0

2 years ago