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3 years ago

8

Chloe has been offered a new job in the women’s shoe department at Macy’s. She has two salary options. She can receive a salary

of $600 per week (Option 1), or receive $350 per week plus 8% of her weekly sales (Option 2).
If x represents Chloe’s weekly sales, the following equation can be used to determine which option will benefit her the most

1 answer:

gladu [14]3 years ago

7 0

Answer:

depends on x

Step-by-step explanation:

if x is equal or more than $3150 option 2 is the answer

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Joe can clear a lot in 2.5 hours. His partner can do the same job in 7.5 hours. How long will it take them working together?

irina [24]

Answer:

The time required by both persons to complete the work T = 1.458 hours

Step-by-step explanation:

Given data

Time required by Joe to clear a lot $T_1$ = 2.5 hours

Time required by his partner to clear a lot $T_2$ = 2.5 hours

Time required by both persons to complete the work by working together

$T = \frac{T_1 T_2}{T_1 + T_2}$

$T = \frac{(2.5)(3.5)}{2.5 + 3.5}$

T = 1.458 hours

Therefore the time required by both persons to complete the work T = 1.458 hours

7 0

4 years ago

PLZ HELP ME I NEED HELP PLZ WRITE FAST

Mademuasel [1]

Answer:

1 pound

Step-by-step explanation:

11/12 - 5/6

|

(11 × 6) - (5 × 12)

––––––––––––

12 × 6

|

= 6/72

|

6 ÷ 6

–––––

72 ÷ 6

|

= 1/12

We're going to estimate that the answer is 1 pound.

8 0

4 years ago

A sample of eight workers in a clothing manufacturing company gave the following figures for the amount of time(in minutes) need

lilavasa [31]

Answer:

$10.108 < \mu < 13.892$

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

We have the following distribution for the random variable:

$X \sim N(\mu , \sigma=0.45)$

And by the central theorem we know that the distribution for the sample mean is given by:

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

2) Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=12$

The sample deviation calculated $s=2.268$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=8-1=7$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,7)".And we see that $t_{\alpha/2}=2.36$

Now we have everything in order to replace into formula (1):

$12-2.36\frac{2.268}{\sqrt{8}}=10.108$

$12+2.36\frac{2.268}{\sqrt{8}}=13.892$

So on this case the 95% confidence interval would be given by (10.108;13.892)

$10.108 < \mu < 13.892$

7 0

3 years ago

What is the answer please help please

Brilliant_brown [7]

Answer:

86.9 cm^3

Step-by-step explanation:

You have to find the area of every face. Since the opposite sides have the same area, you can find three areas and then multiply by 2.

2(5.3x2)=21.2

2(4.5x2)=18

2(4.5x5.3)=47.7

You then add the values together...

21.2+18+47.7=86.9

7 0

3 years ago

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Please help i am very confused onto what this is

Temka [501]

Answer:

That is a picture. Hope it helps.

7 0

3 years ago