Will mark the brainliest<br><br>Answer one of them

The area of a rectangle a=1(w) is represented by the expression 24x6y15. If the width of the rectangle is 2x3y9, what is the l

natulia [17]

Answer:

Length of rectangle is: $Length=12x^3y^6$

Step-by-step explanation:

The area of rectangle = $24x^6y^{15}$

Width of rectangle = $2x^3y^9$

We need to find length of rectangle

The formula used is: $Area=Length\times Width$

Putting values and finding length

$Area=Length\times Width\\24x^6y^{15}=Length\times 2x^3y^9\\Length=\frac{24x^6y^{15}}{2x^3y^9} \\Length=12x^{6-3}y^{15-9}\\Length=12x^3y^6$

So, Length of rectangle is: $Length=12x^3y^6$

8 0

3 years ago

Math question 10 points

Dovator [93]

Answer: 31

Step-by-step explanation:

C = 18w + 53

611 = 18w + 53

- 53 -53

558 = 18w

divide both sides by 18.

558 / 18 = 31

5 0

2 years ago

Jean works for the government and was conducting a survey to determine the income levels of a number of different neighborhoods

Brrunno [24]

Answer:

0.0418 = 4.18% probability that the average income level in the neighborhoods was less than $38,000.

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 normal distributions can be 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.

Jean knows that the mean income level in the country is $40,000, with a standard deviation of $2,000.

This means that $\mu = 40000, \sigma = 2000$

Jean selected three neighborhoods and determined the average income level.

This means that $n = 3, s = \frac{2000}{\sqrt{3}} = 1154.7$

What is the probability that the average income level in the neighborhoods was less than $38,000

This is the pvalue of Z when X = 38000. So

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

By the Central Limit Theorem

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

$Z = \frac{38000 - 40000}{1154.7}$

$Z = -1.73$

$Z = -1.73$ has a pvalue of 0.0418

0.0418 = 4.18% probability that the average income level in the neighborhoods was less than $38,000.

7 0

3 years ago

A car travels along a straight stretch of road. It proceeds for 16.2 mi at 57 mi/h, then 24.6 mi at 44 mi/h, and finally 45.1 mi

LekaFEV [45]

Answer:

The average velocity the entire trip was 43.25 mi/h

Step-by-step explanation:

In this case we have to calculate an average based on the miles traveled. First we have to calculate the total of miles traveled, then calculate the portion of the total travel of each and with this calculate the average speed during the trip. First the total miles traveled:

$TotalMiles=16.2+24.6+45.1=85.9$