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3 years ago

Find the coordinate of X if XY=1 and the coordinate of Y is 0.

Mathematics

1 answer:

rosijanka [135]3 years ago

3 0

X is undefined.

XY = 1

Plug in 0 for Y. X(0) = 1

X = 1/0

So the answer is that X is undefined.

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The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv

Rina8888 [55]

Answer:

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

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".

$\bar X=14.42$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=6.95$ represent the population standard deviation

n=36 represent the sample size

Solution to the problem

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

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

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: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

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

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

5 0

3 years ago

PLEASE HELP<br> will mark brainliest!<br> 10 points

Alik [6]

Answer:

(D)

Step-by-step explanation:

Angles 2 & 6 are called corresponding angles in the diagram and they are congruent if the lines c & d are parallel. Since they are, that means lines c & d are parallel.

4 0

3 years ago

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is

Yuri [45]

Answer:

x= 44 ounces y = 66 ounces

Step-by-step explanation:

Distribution would be an increase to find 80% salt.

Where we use 4/5 = 80 but use here 4/5.

We find 19/20 but just say 95 for solution B =

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

x + y = 110 y = 110 - x

(70x + 95y) = 4/5 x 110

70x + 95y = 88

70x + 95 y = 88

70x + 95 (88 - x) = 8800 make units equal or for start convert decimalization = same units as 2nd multiplied value.

70x + 8360 - 88x = 8800

-10x - 8360 - 8800 = y

-10x = 440

x = 44 ounces

y = 110- 44

y = 66 ounces

4 0

3 years ago

Read 2 more answers

4(2x+3)=x(3+5)+12<br> Help

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

8x + 12 = 3x + 5x + 12

8x + 12 = 8x + 12

Bringing like terms on one side

8x - 8x = 12 - 12

x = 0

7 0

3 years ago

Read 2 more answers

You work a part-time job at $7.85/hr for 10 hours per week. Your deductions are FICA (7.65%), federal tax withholding (9.8%), an

Dmitrij [34]

Here, My initial salary = 7.85

FICA deduction amount = 7.85 * 7.65% = 7.85 * 0.0765 = 0.60
Federal Tax amount = 7.85 * 9.8% = 7.85 * 0.098 = 0.77
State tax amount = 7.85 * 5.5% = 7.85 * 0.055 = 0.43

So, Total deducted amount = 0.60 + 0.77 + 0.43 = 1.80
Net hourly wage = 7.85 - 1.80 = 6.05

In short, Your Answer would be $6.05

Hope this helps!

4 0

3 years ago