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3 years ago

PLZ HELP meeeeeeeeeeeeeeeeeee

Mathematics

2 answers:

arlik [135]3 years ago

5 0

Answer:

Question 1: x=50°

Question 2: x=118°

Step-by-step explanation:

A right angle has a total of 90 degrees

a straight line has a total of 180 degrees

Question 1:

The first problem is an example of a complementary angle. To work out the value of x you would need to Minus the angle of 40 from the total of 90, this gives you 50. This is because question 1 is a right angle and so is 90°, also by subtracting the angle form the total of 90 you are isolating the value of x.

1) Minus 40 from 90.

$90-40=50$ °

Question 2:

The second question is an example of a supplementary angle. To work out the value of x in the second question you would minus the angle of 62 from the total of 180, this gives you 118. This is because question 2 is a straight line and so has a total angle of 180°, also by subtracting the angle from the total we are isolating the value of x.

1) Minus 62 from 180.

$`180-62=118$ °

Inga [223]3 years ago

4 0

for the first problem:

the equation is x+40=90 (degrees) because since there is a little square, that means that angle is 90 degrees. Since it has been split we can use algebra to solve it. x=50 degrees. They are complementary angles because the add up to 90 degrees.

second one: x= 180-62 degrees or x+62=180 degrees. Since this one is a straight line and all straight lines equal 180 degrees, we can use the same algebra logic and put in 62 degrees. x=118 degrees, and the angles are supplementary because they add up to 180 degrees.

hope this helped!

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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 $z_{\alpha/2}=1.96$