Which equation describes the relationship expressed in the table?

Image attached, please help.

tia_tia [17]

Answer:

B 3x: 51 = 3x+24: 85

Step-by-step explanation:

Since the triangles are similar

PS PQ

------- = -----------

PT PR

Substitute the values in

3x 3x+24

------- = -----------

51 85

3x: 51 = 3x+24: 85

4 0

3 years ago

An accounting firm is planning for the next tax preparation season. From last years returns, the firm collects a systematic rand

Elena L [17]

Answer:

a)From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error for the mean would be:

$\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14$

b) We want this probability:

$P(\bar X >120)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got:

$z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143$

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

$P( z>2.143) = 1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Part a

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error for the mean would be:

$\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14$

Part b

We want this probability:

$P(\bar X >120)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got:

$z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143$

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

$P( z>2.143) = 1-P(Z$

4 0

3 years ago

TIMED

ss7ja [257]

Answer:

y>0

Step-by-step explanation:

This is because no matter what x-value you enter, the fact that it's an even exponent will make the y-value always positive. And regardless of the 4 in the exponent, you can still have values less than 4 (but still positive).

4 0

3 years ago

How to work out math problem %of 50 shirts is 35 shirts

CaHeK987 [17]

50 shirts is equal to 100% of the shirts right? So, to find what percentage 35 shirts is, you can divide 35 by 50 to get the decimal value of the percentage. This gives you 0.7, which is the same as 70%.

35 shirts are 70% of 50 shirts.

7 0

3 years ago

Read 2 more answers

When you calculate your regression line, you are: Group of answer choices Minimizing the sum of the errors Finding the error for

Olenka [21]

Answer:

Finding the error for each observation, squaring the error and minimizing the sum

Step-by-step explanation:

The regression line is a straight line which gives a description of how the dependent variable y changes as changes occur in the independent variable X. It gives a prediction of the value of Y for any given value of X.

The method of least squares is used for squaring the error and also used for minimising the sum. Therefore, when you calculate the regression line, you would be Finding the error for each observation, squaring the error and minimizing the sum.

6 0

3 years ago