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3 years ago

The length of a rectangular pool is 20 feet and the width is 15 feet. The

Mathematics

1 answer:

Ray Of Light [21]3 years ago

5 0

Answer:

$255

Step-by-step explanation:

As, the area of the pool bottom = length x breath

= 20 x 15 = 300 square foot

So for painting

Per square foot = $0.85

So for 300 square foot = $0.85 x 300

= $255

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3x-y=5 write the linear equation in slope-intercept form given

maxonik [38]

Answer:

y = -3x - 5

Step-by-step explanation:

3x - y = 5

+3x +3x

-1y = 3x + 5

---- ----- -----

-1 -1 -1

y = -3x - 5

6 0

4 years ago

How many full glasses of water will be needed to fill the jug ? Jug= 2.8 litres, Cup= 200ml

igomit [66]

Answer:

14 cups

Step-by-step explanation:

1 l = 1000ml

to filled the jug we need 2.8 litres

2.8 l to ml

2.8 × 1000

= 2800ml

how many cup would give us 2800ml

2800 ÷ 200

=14 cups

3 0

3 years ago

The proprietor of a boutique in New York wanted to determine the average age of his customers. A random sample of 25 customers r

jolli1 [7]

Answer:

$28-2.064\frac{10}{\sqrt{25}}=23.872$

$28+2.064\frac{10}{\sqrt{25}}=32.128$

So on this case the 95% confidence interval would be given by (23.9;32.1)

Step-by-step explanation:

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".

$\bar X=28$ represent the sample mean

$\mu$ population mean (variable of interest)

s=10 represent the sample standard deviation

n=25 represent the sample size

Solution to the problem

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

$df=n-1=25-1=24$

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 table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that $t_{\alpha/2}=2.064$