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4 years ago

What's the equation to find the midpoint of a right triangle?

Mathematics

1 answer:

Viktor [21]4 years ago

8 0

The answer is 20. You have to use the Pythagorean theorem (A^2+B^2=C^2) to find the length of the hypotenuse.

32^2+24^2=C^2
1024+576=C^2
1600=C^2
Take the square root of both sides
40=C
Since the midpoint is the middle, you divide the length of the hypotenuse by 2 and get the answer (20)

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5.2 more than the product of seven and a number

vlabodo [156]

It would be 12.2 because 7+5.2 is 12.2

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4 years ago

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A family has a cell phone plan that costs $75 per month including taxes and fees. The plan lets the 5 members of the family shar

Alexeev081 [22]

(1×50)+(2×15)because they used 50 and 15 more

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4 years ago

Choose the number that belongs to the set described

coldgirl [10]

Answer:

Natural numbers,integers, rational numbers, irrational numbers.

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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 $t_{\alpha/2}=2.064$

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

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

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

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

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3 years ago

Find the discriminant of each quadratic equation then state the number and type of solutions

wariber [46]

N=3
Because 6+6=12
Hope this helps

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3 years ago