finding length of short leg and hypotenuse right triangle

Answer:

a) [tex]H_{0} = 9.5[/tex]

b) [tex]H_{a} < 9.5[/tex]

Step-by-step explanation:

The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness.

At the null hypothesis, we test if the value we find is equal to the expected value, that is:

[tex]H_{0} = 9.5[/tex]

Test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population

Lower, which means that the alternate hypothesis, we test if the value we find is lower than the expected value, that is:

[tex]H_{a} < 9.5[/tex]

Answer:

D

Step-by-step explanation:

type in my calclater it's

d

Answer:

Option D will be your answer

Step-by-step explanation:

hope it helps you

have a great day

The Kristen's paycheck for 39 hours is $321.75.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Kristen is paid $8.25 per hour.

Paycheck for 39 hours

= 39×8.25

= $321.75

Therefore, the Kristen's paycheck for 39 hours is $321.75.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ6

Answer:

[tex]4x^{6}2y^{-2}[/tex]

Step-by-step explanation:

We can use a property I like to call SEi-F. (Subtract Exponents in a Fraction)

But first, there is an exponent outside of the parentheses in both places. We can use the Power of Parentheses to simplify and then use the SEi-F.

We will start with the x in the numerator.

3*4 = 12

Now for the y in the numerator.

4*4 = 16

Our new numerator is [tex]4(2x^{12}y^{16})[/tex]

We do need to simplify the numerator one more time to get rid of the 4 outside the parentheses.

We will start with x's coefficient.

2*4 = 8

Now for y's coefficient.

1**4 = 4

*y seems to have no coefficient, but if so, it has a coefficient of 1. This applies to other variables.

Our final simplified numerator is [tex]8x^{12}4y^{16}[/tex].

Repeat with the denominator.

Try it yourself!

Make sure that when you finish, you finish the fraction.

After completing the denominator, your completed fraction should be:

[tex]\frac{8x^{12}4y^{16}}{4x^{6}2y^{18}}[/tex]

Now we can use the SEi-F to complete the problem.

Start with x.

8x - 4x = 4x

12 - 6 = 6

The first term is [tex]4x^{6}[/tex].

Now for y.

4y - 2y = 2y

16 - 18 = -2

The second term is [tex]2y^{-2}[/tex]

The complete, simplified equation is [tex]4x^{6}2y^{-2}[/tex].

I could be wrong on the answer, but the work should be correct.

Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?

Answer:

26

Step-by-step explanation:

104 divided by the 4 sides (for perimeter) equals 26

Answer:

x = 1.9

Step-by-step explanation:

5.4 - 6x = -6

Gotta isolate the x, so you would minus 5.4 from both sides:

5.4 - 5.4 - 6x = (-6) - 5.4

5.4 - 5.4 cancels out, and (-6) - 5.4 is -11.4 What's left is:

- 6x = -11.4

Gotta isolate the x, so divide -6 to both sides.  It negative because the sign in front of it is a subtraction sign, it would be positive if there is a addition sign:

- 6x/(-6) = (-11.4)/(-6)

-6 divide by -6 cancels out, and -11.4 divided by -6 is 1.9. A negative divided by a negative is a positive.  Result, x is now isolated:

x = 1.9

Answer/Step-by-step explanation:

$300 is the normal price the sale is 20% off

You would need to multiply them together because it then gives you how much it is off.

Then then you would subtract it.

That takes D and C off.

A , is adding and we arnt adding we are subtracting.

Therefore you answer is: B

Answer:

i would probably try looking it up and really srr i can't help much

bajar dos numeros de las que aparecen en la primera seccion, segundo: el resultado irá con el segundo dijito de la ( y) y despues dividirlo entre el numero que dio al multipliar esos dijitos

Answer:

23 inches

Step-by-step explanation:

9514 1404 393

Answer:

  a, b, c --- all not representative

Step-by-step explanation:

The question posed by the engineer is "are residents of the city in favor of ...".

The only representative sample is one from a pool that includes all residents of the city—not just those who (a) use the road, (b) live along the road, or (c)  own homes.

__

Additional comment

The engineer may want to refine the question. As posed, it would include children, homeless, and/or institutionalized residents of the city as well as drivers and tax-payers. In inclusive cultural traditions, "residents of the city" may also include animals, plants, water, air, and other holders of spiritual energy.

Answer:

6C3 =20

Step-by-step explanation:

Answer:

You could pack 2 combinations.

Step-by-step explanation:

This is because 6 divided by 3 is 2.

Answer:

4.5 meters per second

Step-by-step explanation:

30/6.6 = 4.5

Assuming 30 is the meters and 6.6 is the seconds

Answer:

0

Step-by-step explanation:

-4x+2(2x+3)=8

-4x+4x+3=8

6=8

0=2

no solution

Answer:

hello gimme-Dem points.

Step-by-step explanation:

Step-by-step explanation:

8x13 kkkxkgkgxkgxkkkxkkk

Answer:

positive...............

Answer:

[tex]x=\frac{5-y}{x}[/tex]

Step-by-step explanation:

Answer:

0.47

Step-by-step explanation:

Answer:

47/100

Step-by-step explanation:

0.47 Hope it helps (•‿•)✌️

Answer:

108

Step-by-step explanation:

s=18x6

s=108

Answer:

D) 368

Step-by-step explanation:

you already have 2 of the sides of WXYZ (120 is the length of both long sides).  to get the length of the shorter side (YZ), you can solve for the 3rd side of the triangle WYZ using the pythagorean theorem, which states that the square root of the different between the square of the hypotenus (the line YW, which is 2 * 68 for WYZ) and the square of the known side (WZ, which is 120 here) is equivalent to the unknown side (YZ). using that info,[tex]\sqrt\\(2 *68)^{2} - 120^{2}[/tex] = 64, so 64 is the length of YZ. the perimeter of WXYZ is (2 * WZ) + (2 * YZ) = (2 * 120) + (2 * 64) = 368. therefore, the perimeter of WXYZ is 368!

Answer:

72

Step-by-step explanation:

x/6 - 10 = 2

x/6 = 12 (add 10 to both sides)

x = 72 (multiply 6 to both sides)

Answer:

0.9974 = 99.74% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The rent for a one-bedroom apartment in Southern California follows the normal distribution with a mean of $2,350 per month and a standard deviation of $260 per month.

This means that [tex]\mu = 2350, \sigma = 260[/tex]

Sample of 65 one-bedroom apartments

65>30, which means that the sampling distribution of the sample means will be approximately normal. Also, [tex]n = 65, s = \frac{260}{\sqrt{65}} = 32.249[/tex]

What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month?

This is 1 subtracted by the pvalue of Z when X = 2260.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{2260 - 2350}{32.249}[/tex]

[tex]Z = -2.79[/tex]

[tex]Z = -2.79[/tex] has a pvalue of 0.0026

1 - 0.0026 = 0.9974

0.9974 = 99.74% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month.

Answer:

please ask question clearly I am not even getting question.

Step-by-step explanation:

Answer:

it's B I think because I worked it out and I got B

Answer:

number 2.) 1,500g

Step-by-step explanation:

i just know..

Answer: A

Step-by-step explanation:

=7×9

=36 square feetffgxdx