A recent drug survey showed an increase in use of drugs and alcohol among local high school students as compared to the national percent. Suppose that a survey of 100 local youths and 100 national youths is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 61 national seniors reported using them.

Required:
Conduct a hypothesis test at the 5% level.

Answer:

17

Step-by-step explanation:

ABC, which is 9z - 1, and CBD, which is 6z + 58, make up ABD, which is a total of 87 degrees.

in order to find the measurement of ABC, you first need to solve for z.

since ABC and CBD make up ABD, add those measurements and set them equal to 87, which is the measure of ABD.

9z - 1 + 6z + 58 = 87

combine like terms starting with the z terms. (it doesn't matter which like terms you combine first)

9z - 1 + 6z + 58 = 87 ⇒ 15z - 1 + 58 = 87

combine the next set of like terms.

15z - 1 + 58 = 87 ⇒ 15z + 57 = 87

subtract 57 from both sides of the equation. it'll cancel itself out on the left, leaving you with 15z = 30 after subtracting 57 from 87.

divide both sides of the equation by 15.

15z/15 = 30/15 ⇒ z = 2

now, plug in 2 for z in each of your equations for the measurements of ABC and CBD.

ABC = 9z - 1 ⇒ 9(2) - 1 ⇒ 18 - 1 ⇒ 17

CBD = 6z + 58 ⇒ 6(2) + 58 ⇒ 12 + 58 ⇒ 70

now, your measurements are

ABD: 87

ABC: 17

CBD: 70

check your work by adding the measurements of ABC and CBD and setting them equal to ABD, or 87.

17 + 70 = 87

87 = 87

since both sides of the equation are equal to 87, you know that your measurements are correct.

therefore, the measure of ABC is 17 degrees.

Answer:

m<5=101.9    m<8=101.9

Step-by-step explanation:

alternate interior and vertical angles

Answer:

(a) m∠5=<4[alternate angle]=101.9°,

(b) m∠8=<5[vertically opposite angle]=101.9°,

Answer:

you just plug in those numbers... 7-4+6 = 9

Answer:

hope this is what u want

and don't mind my handwriting I wrote it as fast as I could

Answer:

500 people surveyed

Step-by-step explanation:

210 / 42 = 5

5 x 100 = 500

Answer:

500 people were surveyed

Step-by-step explanation:

Let the total number of people surveyed be x

42% said football was their favorite sport to watch

=> 42/100 x = 210

=> x = (210 × 100) / 42

=> x = 21000 / 42

=> x = 500

Therefore, 500 people were surveyed.

Hope it helps :)

Please mark my answer as the brainliest

Answer:

2x-6 is the right answer

Step-by-step explanation:

I'm very good at math

Answer:

A. 3.4.5

Step-by-step explanation:

I looked it up and it forms a right angle.

Answer:

Step-by-step explanation:

The ratio of dogs to cats is

quantities relative to each other. There are two cats and one dog. This means there are twice as many cats as dogs, or half as many dogs as cats.

...

Equivalence.

cats : dogs

8 : 4

Answer:

d

Step-by-step explanation:

yes

Answer:

918 ➗ 81

Step-by-step explanation:

Answer:

It's about 0.088.

Answer:

add otherwise I don't know sorry im on that question

Step-by-step explanation:

Answer:

60 candies

Step-by-step explanation:

Answer:

3(5−13)

Step-by-step explanation:

..............

Answer:

-3(5x-13)

Step-by-step explanation:

The greatest common factor is 3 and you want the # with the variable to be positive, usually, so just factor -3 out and that's what you get.

Answer:

620 milliliters

Step-by-step explanation:

1 milliliter= 0.001 liters

0.62L= move the decimal point 3 places to the left

0.62

06.2

062.

0620.

620 milliliters

Answer:

blue 7.3

Step-by-step explanation:

Answer:

7.3

Step-by-step explanation:

There are 7 groups with 10 parts in each, 7 complete rows are filled in. 3 are left in the last row. This means that there are 7 wholes with 3 left over. 7.3

Step-by-step explanation:

f(x) = x² - x³

f(-2) = (-2)² - (-2)³

= 4 - (-8)

= 4 + 8 = 12

Answer:

x = 206.7

Step-by-step explanation:

law of sines:

sin 90° / x = sin 43° / 141

sin 43° · x = 141

x = 141 / sin 43°

The measure of the length of the hypotenuse is 206.75 and the measure of the length of the base is 151.20 units.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The perpendicular is 141 and the angle opposite to the perpendicular is 43 degrees. Then the value of the base and hypotenuse will be

The length of the base will be

[tex]\rm \dfrac{141}{y} = \tan 43^o\\\\y\ \ \ = \dfrac{141}{ \tan 43^o}\\\\y \ \ \ = 151.20[/tex]

Then the length of the hypotenuse will be

[tex]\rm x = \dfrac{141}{\sin 43^o}\\\\x = 206.75[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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Answer:

Mean of team A = 21

Mean of team B = 18

Step-by-step explanation:

Formula:

Mean = Sum of values / Number of values

Calculations:

[tex]A = \frac{20+17+25+25+13+25+12+25+25+23}{10} = \frac{210}{10} = 21[/tex]

[tex]B = \frac{25+25+9+10+25+11+25+15+10+25}{10} =\frac{180}{10} =18[/tex]

Mean of team A = 21

Mean of team B = 18

Answer:

6 more girls than boys

Step-by-step explanation:

5 out of 12 are boys  (multiply both sides of equation by 3 because 3x12 = 36)

7 out of 12 are girls   (multiply both sides of equation by 3 because 3x12 = 36)

so: 15 out of 36 are boys

so: 21 out of 36 are girls

21-15 = 6 more girls than boys

Answer: There are 6 more girls than boys

Step-by-step explanation:

To find how many more girls there are we need to find what one block equals to.

We use this equation to find it.

36 = ( 5 + 7 )x

36 = 12x

3 = x

or

x = 3 (same thing)

So each block represents 3 girls/boys

The girls have 2 more meaning there are 6 more girls than boys.

Answer:

A frequently-used procedure in algebra is the process of combining like terms. This is a way to "clean-up" an equation and make it much easier to solve. In case you've forgotten, a term is each single part of an expression. For example, in the expression 4x+3+7y 4 x + 3 + 7 y , there are three terms: 4x , 3 , and 7y .

Answer:

72

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

I hope this helps :)

Answer:

y=52

x=46

questions 3

x=84

y=84

Step-by-step explanation:

Answer:

#2:   x = 64      y = 32[tex]\sqrt{3}[/tex]

#3:   x = 6[tex]\sqrt{2}[/tex]      y = 6[tex]\sqrt{2}[/tex]

Or, if you are supposed to write your answers in decimal form instead:

#2:   x = 64      y = 55.43

#3:   x = 8.49      y = 8.49

Step-by-step explanation:

Special right triangles have specific angle measurements that tell you the lengths of each side. I attached an image that explains the rules of different special right triangles in case you need it :)

#2 is a 30-60-90 triangle. This means that x (the side opposite the 90° angle) is two times the length of the shortest side (32×2), and y is equal to 32[tex]\sqrt{3}[/tex].

#3 is a 45-45-90 triangle. This means that x (the side opposite the 45° angle) is equal to y (the side opposite the other 45° angle). The hypotenuse, 12, is x[tex]\sqrt{2}[/tex] (or y[tex]\sqrt{2}[/tex], since x = y). This means 12 = x[tex]\sqrt{2}[/tex]

Answer:

c = 8

n = 1/2

Step-by-step explanation:

Since dy/dx is the derivative form, we can integrate the answer to get the value of y.

The values of c and n are obtained by forming the equations as 1/2 and 8 respectively.

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = (f(x + h) - f(x)) /(x + h - x).

It can be stated in terms of geometry as the slope of tangent of the function at a given point.

It is given as y = cxⁿ and dy/dx = 4/√x.

Take the derivative of y = cxⁿ with respect to x as,

dy/dx = cd(xⁿ)/dx

⇒ nc × xⁿ⁻¹

Compare the obtained derivative with 4/√x to obtain,

nc = 4   and  n - 1 = -1/2

⇒ n = 1/2 and c = 8

Hence, the values of c and n are 1/2 and 8 respectively.

To know more about differentiation click on,

https://brainly.com/question/24898810

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Answer:

d i think can u give me a bainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

Local minimum. It would be the minimum value of the function not including the end points. If you are including the end points, its an absolute minimum

Answer:

a2 + a − 6

Step-by-step explanation:

the a with the 2 beside of it is to the power of

Answer:

3

Step-by-step explanation:

-14x  - 7 + 5y - x = -14x - x - 7 + 5y

                         = -15x - 7 + 5y

Answer:

Step-by-step explanation:

3

Answer:

1 = 1 1/5

2=1 1/2

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation: