Question:
A group of health researchers survey a SRS of 300 teenagers, of whom 120 have low weekly outdoor activity levels and 180 have high weekly outdoor activity levels. Suppose that 35 percent of teenagers with low outdoor activity levels have allergies, and that 41 percent of teenagers with high outdoor activity levels have allergies. The researchers want to see the difference between the sample proportions. What will be the shape of the sampling distribution be and why?

Choices:
A. Approximately normal, because we expect 105 successes and 195 failures from teenagers with low levels, and 123 and 177 from teenagers with high levels, and all of these counts are at least 10.
B. Approximately normal, because we expect 42 successes and 78 failures from teenagers with low levels, and 73.8 and 106.2 from teenagers with high levels, and all of these counts are at least 10.
C. Not normal, because we expect fewer than 10 failures in both samples.
D. Not normal, because we expect fewer than 10 successes in both samples.

Answer:

9. C. 35 + 0.12x = 44.36

10. C. The system has no solution since the second equation is equal to 0

11. A. 32

Step-by-step explanation:

9. The Hill family drove for 78 miles

The rental agency chargers a weekend fee of $35.00 and 12 cents per mile

Convert cents to dollars

1 cent = 0.01 dollar  

∴, 12 cent = 12 x 0.01 = 0.12 dollar

Therefore,  total bill amount = 35 + 0.12 per mile

Let "x" be the number of miles driven

Final bill was $ 44.36

44.36 = 35 + 0.12x  

0.12x = 44.36 - 35  

0.12x = 9.36

Divide both sides of the equation by 0.12

x = 78

10. The system of equations is...

The true statement about the given system of equations.  

The slope-intercept form of a line is...

Where m is the slope and b is the y-intercept.

We have,...  

On comparing these two lines with slope-intercept form, we get...  

Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.

11. This is an equation Solutions: x=32.

⇒ Value of (Dimes + Quarters) = $ 6.70  

or, (0.1 m) +  11.5 - 0.25 m  = 6.70  

-0.15 m = - 4.8  

or, m = 4.8/0.15  =  32  

⇒ m = 32  

Answer:

24, 21, 15, 12

Step-by-step explanation:

Since x is given in the table, you can find the y-values by plugging each of the x-value into the equation replacing x.

[tex]y=30-3(2)=30-6=24[/tex]  [tex](2, 24)[/tex]

[tex]y=30-3(3)=30-9=21[/tex]  [tex](3, 21)[/tex]

[tex]y=30-3(5)=30-15=15[/tex]  [tex](5, 15)[/tex]

[tex]y=30-3(6)=30-18=12[/tex]  [tex](6, 12)[/tex]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It is convenient to let a spreadsheet or graphing calculator do the repetitive arithmetic.

__

If you want to do it by hand, put the x-value in the equation and do the arithmetic. For example, ...

  y = 30-3(2) = 30 -6 = 24 . . . for x=2

Answer:

14 tons

$3,860.50

Step-by-step explanation:

Let x = the amount of sugar transported.

First company:

The cost is $3157 truck rental plus $50.25 per ton of sugar.

Total cost = 3157 + 50.25x dollars

Second company:

There is no charge for truck rental, but it costs $275.75 per ton of sugar.

The total cost is

275.75x

When the two costs are the same, then

275.75x = 3157 +50.25x

225.5x = 3157

x = 14 tons

The total cost is 275.75*14 = $3,860.50

Answer:

G.

Step-by-step explanation:

5 + (-9) = -4.

. .

. .....

Answer:

The first one is a similie

second is a metaphor

Step-by-step explanation:

like ice means like a hatred glare

the hug is a a good thing thats

happens on a bad dat

Answer:

simile

the referee was angry

metaphor

they have a lot of love for each other

Step-by-step explanation:

please mark me branliest

Answer:

D

Step-by-step explanation:

The ordered pair (-1, 1/2) does not appear on this graph.

Answer:

Yes

Step-by-step explanation:

6 + 8 = 14 which is bigger than 9 so it is possible

If the two shorter sides add up to a number that is equal to or smaller than the largest side, the triangle is impossible

Answer:

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Step-by-step explanation:

Answer:

The answer is 6%

Answer:

6%

Step-by-step explanation:

tell me if I’m wrong lol

Answer:

x=16

I used Pythagorean theorem.

Step-by-step explanation:

Tell me if you have more questions or want to know how I solved it.

Have a nice day!

and can I maybe have brainliest? Thanks!

Answer:

the fee at sunset bank will always be more than fee at Oceanview bank.

Answer:

D

Step-by-step explanation:

i got it correct and go to k-12

Answer:

The slope

Step-by-step explanation:

Given that:

Initial grading ; For each correct answer : 50 points + 5

New grading ; For each correct answer = 50 + 7 points

The reading coukd be expressed in slope intercept form of an equation as :

Initial grading :

y = 50 + 5x

New grading :

y = 50 + 7x

y = total score ; x = number of correct answers

The change in y per unit change in x which is the slope, is the only difference in the two equations, the intercept (50) stays the same.

Therefore, only the slope changes.

.

[tex] = 1.540 \: {cm}^{3} [/tex]

.

.

Use this formula :

[tex] = \pi \times {r}^{2 } \times t[/tex]

[tex] = \frac{22}{7} \times {( \frac{14}{2} )}^{2} \times 10 \\ [/tex]

[tex] = \frac{22}{7} \times {7}^{2} \times 10 \\ [/tex]

[tex] = \frac{22}{ \cancel7} \times \cancel{49} \times 10 \\ [/tex]

[tex] = 22 \times 7 \times 10[/tex]

[tex] = 154 \times 10[/tex]

[tex] = 1.540 \: {cm}^{3} [/tex]

.

#LearnWithBrainly

Answer:

kk

Step-by-step explanation:

Answer:

it is equal too.

Step-by-step explanation:

Answer:

it is equal to

Step-by-step explanation:

Answer:

The slope is 3.

Step-by-step explanation:

A direct variation function will always go through the origin point (0, 0).

Therefore, we have the two points (0, 0) and (-2, -6).

We can use the slope formula to find the slope:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute and evaluate:

[tex]\displaystyle m=\frac{0-(-6)}{0-(-2)}=\frac{6}{2}=3[/tex]

Therefore, the slope of the function is 3.

To graph, simply plot (0, 0) and (-2, -6) and draw a line connecting them. This is shown below.

Answer:

y = 2/3x - 3

Slope: 2/3x

Step-by-step explanation:

Slope: 2/3x

y- intercept: (0,-3)

once it goes down it'll be -2/-3x which will go to through (-2,-6) as soon as it goes down from the y-intercept.

equation: y = 2/3x - 3

Answer:

5

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Answer:

C   m∠B = 48°

Step-by-step explanation:

The acute angles of a right triangle are complementary which means their sum is 90

m∠A + m∠B = 90

42 + m∠B = 90

m∠B = 48°

Answer:1800

Step-by-step explanation: The larger triangle is double the size of the smaller triangle based on the sides 300->600 and 400->800

Step-by-step explanation:

You can imagine this figure as a rectangle and cube

If you want volume of this irregular figure than you have to do it like this:

V(figure)= V(rectangle)+ V(cube)

V(figure)= a*b*c+ a³

V(figure)= 4*3*(I don't see dimension on the left)+ 3³

V(figure)=12*(I don't see dimension on the left)+ 27

And only you have to to do is to set this dimension which I can't see.

Answer:

7

Step-by-step explanation:

Just simply divide 10 with 3/4

[tex]10*\frac{3}{4}\\\\=\frac{15}{2}[/tex]

Now you can't make 7.5 recipes and also You can't make 8 recipes either [if you round up the value].

Now round down the value

the answer is 7

Answer:

Step-by-step explanation:

This a not so simple ratio problem:

     MN is to LN as TN is to UN as MT is to LU

     MN/LN    =   TN/UN    =   MT/ LU         trying to find LU

     88 / (? + 32)   =  (88-56)/32   = 56/?

                            =     32 / 32   = 56 / ?        

                                   1  =  56 / ?  

                                   ?  = 56  

     88 / (56 +32)  = 1      This must be an Isosceles triangle and UT bisects

                                       LN and MN

Answer:

5

Step-by-step explanation:

The median of all the answers equal up to 5.

Answer:

y=1

Step-by-step explanation:

8y-9=-3y+2

-2

8y-11=-3y

-8y

-11=-11y/-11

Answer:

y=1

Step-by-step explanation:

8y+3y=2+9

11y/11=11/11

y=1

67in³

Answer:

we have

volume of sphere =4/3 πr³=1/3×π×4³=67.02=67in³ is your answer.