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sdas [7]
3 years ago
9

Which of the following expressions is not equivalent to 6x-18y+30

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0
The answer is 3(2x-6y+30) the expression is not equivalent to 6x-18y+30
You might be interested in
The cube root of rvaries inversely with the square of s. Which two equations model this relationship
VARVARA [1.3K]

Answer:

3√r = k/s²

s²r^1/3 = k

Step-by-step explanation:

Cube root of r = 3√r

Square of s = s²

cube root of r varies inversely with the square of s

3√r = k/s²

Cross product

3√r * s² = k

s²r^1/3 = k

Note:

r^1/3

= 3√r

7 0
2 years ago
Nancy is very happy with the service at the hotel she is staying in. She wants to tip the room service waiter 15 percent of the
anyanavicka [17]
$18.11 because 20.75/x=100/15
<span>(120.75/x)*x=(100/15)*x       - </span>we multiply both sides of the equation by x
<span>120.75=6.6666666666667*x       - </span>we divide both sides of the equation by (6.6666666666667) to get x
<span>120.75/6.6666666666667=x </span>
<span>18.1125=x </span>
<span>x=18.1125</span>
7 0
3 years ago
The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard
avanturin [10]

Answer:

There is a 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

Step-by-step explanation:

Problems of normally distributed samples 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 random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard deviation of 2503 miles.

This means that \mu = 33208, \sigma = 2503.

What is the probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct?

This is the pvalue of Z when X = 33208+633 = 33841 subtracted by the pvalue of Z when X = 33208 - 633 = 32575

By the Central Limit Theorem, we have t find the standard deviation of the sample, that is:

s = \frac{\sigma}{\sqrt{n}} = \frac{2503}{\sqrt{49}} = 357.57

So

X = 33841

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

Z = \frac{33841 - 33208}{357.57}

Z = 1.77

Z = 1.77 has a pvalue of 0.9616

X = 32575

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

Z = \frac{32575- 33208}{357.57}

Z = -1.77

Z = -1.77 has a pvalue of 0.0384.

This means that there is a 0.9616 - 0.0384 = 0.9232 = 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

4 0
3 years ago
The price of a pair of socks decreases from 15 dollars to 12 dollars what is the percent decrease
murzikaleks [220]

Answer:

20%

Step-by-step explanation:

12/15 = .8

subtract from 1

gives you .2

convert to a percentage

.2 = 20%

6 0
3 years ago
7 - 12c = 43 show work and check plz
Svetradugi [14.3K]
The answer is -3

-12c = 43 - 7
-12c = 36
÷ -12 ÷-12
c = -3
4 0
3 years ago
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