Julie knows that the adult population gets, on average, eight hours of sleep each night. A hypothesis test can help her see if college students are different from the adult population. Julie tabulated that her sample of 101 students got an average of 7.1 hours of sleep each night, with a standard deviation of 2.48. Using the data provided and the formula below, what is the t-statistic that Julie calculates

Answer:

Equation is 3y = x + 19

Step-by-step explanation:

General equation:

[tex]y = mx + c[/tex]

For slope, m:

[tex]m_{1} \times m_{2} = - 1[/tex]

but m1 is -3:

[tex] - 3m_{2} = - 1 \\ m_{2} = \frac{1}{3} [/tex]

For y-intercept, c:

[tex]y = mx + c \\ 6 = ( - 1 \times \frac{1}{3} ) + c \\ \\ c = 6 + \frac{1}{3} \\ \\ c = \frac{19}{3} [/tex]

equation:

[tex]{ \sf{y = \frac{1}{3}x + \frac{19}{3} }} \\ \\ 3y = x + 19[/tex]

Answer:

-4/3

Step-by-step explanation:

To find the slope you do rise over run. The line goes down by four and to the right by three between the two points so the slope is -4/3/

Answer:

k = [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Using the discriminant

Δ = b² - 4ac

For a repeated real solution then

b² - 4ac = 0

Given

16x² - [tex]\frac{8}{3}[/tex] x + k = 0

with a = 16, b = - [tex]\frac{8}{3}[/tex] , c = k

(- [tex]\frac{8}{3}[/tex] )² - ( 4 × 16 × k) = 0

[tex]\frac{64}{9}[/tex] - 64k = 0 ( subtract [tex]\frac{64}{9}[/tex] from both sides )

- 64k = - [tex]\frac{64}{9}[/tex] ( divide both sides by - 64 )

k = [tex]\frac{1}{9}[/tex]

Answer:

45.5 milliliters

Step-by-step explanation:

We know that the chemist has 332 milliliters of the solution of acid and water, and 13.7% of that solution is acid.

We can then persume that the amount of acid in the solution is equal to 332ml × 13.7%.

This is equal to 45.484ml.

Then the question states to round the answer to the nearest tenth.

Rounding 45.484ml to the nearest tenth (.1) will equal to 45.5ml.

Therefore, there are 45.5ml of acid in the solution rounded to the nearest tenth.

Answer:

so, choose c.

Step-by-step explanation:

[tex] - 20 - 5 = - 25[/tex]

{Please see the figure on the picture}

Hi :)

m is a variable

m is defined as 8.6

substitued m

8.6 + 7.5 = 16.1

Answer:

m+7.5 = ? when m = 8.6

Sub 8.6 in equation for m and you get

8.6 + 7.5 = 16.1

Step-by-step explanation:

Step-by-step explanation:

all steps are in the picture above.

Note:if you have any question let me know about.thanks

9514 1404 393

Answer:

  g(f(x)) = √((x²+5)/(x²+4))

Step-by-step explanation:

  [tex]g(f(x))=g(\dfrac{1}{x^2+4})=\sqrt{\dfrac{1}{x^2+4}+1}=\sqrt{\dfrac{1+x^2+4}{x^2+4}}\\\\\boxed{g(f(x))=\sqrt{\dfrac{x^2+5}{x^2+4}}}[/tex]

I prefer this compact form, but some may want the denominator rationalized. This means the expression becomes ...

  [tex]g(f(x))=\sqrt{\dfrac{(x^2+5)(x^2+4)}{(x^2+4)^2}}\\\\\boxed{g(f(x))=\dfrac{\sqrt{x^4+9x^2+20}}{x^2+4}}[/tex]

Answer:

-2

Step-by-step explanation:

If f(x) = 2x² + 4x - 2

f(-2) = 2(-2)² + 4(-2) - 2

f(-2) = 2(4) + 4(-2) - 2

f(-2) = 8 - 8 - 2

f(-2) = -2

Answer:

It is -18

Step-by-step explanation:

[tex]f(x) = - 2 {x}^{2} + 4x - 2[/tex]

when x is -2, f(x) is f(-2):

[tex]f( - 2) = - 2 {( - 2)}^{2} + 4( - 2) - 2 \\ \\ f( - 2) = - 8 - 8 - 2 \\ \\ f( - 2) = - 18[/tex]

Answer:

see below

Step-by-step explanation:

10(9-1)

Distribute

10 * 9  - 10 *1

90 - 10

80

Answer: 80

Step-by-step explanation:

10(9-1) = 90 - 10 = 80

Answer: H. 90%, 0.9, 9/10

Step-by-step explanation: they are all equal

Answer:

16 is the number occurring most often in the list.

Step-by-step explanation:

Answer:

3p-2

Step-by-step explanation:

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

Answer:

3p - 2

Step-by-step explanation:

[tex]5p - 3 - (1 + p) + (2 - p)[/tex]

[tex]5p - 3 - 1 - p + (2 - p)[/tex]

[tex]5p - 3 - 1 - p + 2 - p[/tex]

➡️ [tex] - 4 + 2[/tex]

➡️ [tex] = - 2[/tex]

[tex] = 3p - 2[/tex]

Answer:

Step-by-step explanation:

Given:

To find:

Use long division:

2x + 1  | (8x³ + 16x² − 15

           | 8x³ + 4x²

                     12x² + 0x - 15

                     12x² + 6x

                               -6x - 15

                               -6x - 3

                                      -12

4x² + 6x - 3 remainder -12

[tex]\sf \dfrac{f(x)}{g(x)}[/tex]

[tex]\\ \rm\longmapsto \dfrac{8x^2+16x^2-15}{2x+1}[/tex]

Refer to attachment now

Answer:

v = 3.14x²y

Step-by-step explanation:

volume cylinder = πr²h

r = 2x ÷ 2 = x

h = y

Answer:

It is 3.14x²y

Step-by-step explanation:

formular:

[tex]{ \bf{V = \pi {r}^{2} h}}[/tex]

r is radius, r = 2x/2 = x

h is height, h = y

[tex]{ \sf{V = (3.14) \times ( {x}^{2} ) \times y}} \\ V = 3.14 {x}^{2} y[/tex]

John may cover 2.2 miles on day 6.

The correct answer is option (D)

"It is a pictorial representation of data in an organized manner. "

For given question,

The distance that John covers each day during his morning walks is given in the graph.

From the graph we can observe that the highest value on the graph is 4.

Also the data is symmetrical on the left side and on the right side of the highest value.

We need to predict the distance that John may cover on day 6.

It must be the same as it is at day = 0

At day = 0, the distance is 2.2 miles.

Therefore, John may cover 2.2 miles on day 6.

The correct answer is option (D)

Learn more about prediction from the graph here:

https://brainly.com/question/27021739

#SPJ2

Answer:

The digit in the tenths place is 10 times as much as the value of the digit in the hundredths place.

Step-by-step Explanation:

0.07 multiplied by 10 gives you 0.7

Answer:

-16,200

Step-by-step explanation:

162×(-92)-(-162)×(-5)-162×3

-14,904 - 810 - 486 = -16,200

Answer:

-16200 is your answer....

9514 1404 393

Answer:

  The lines are neither parallel nor perpendicular. They intersect in the 2nd quadrant.

Step-by-step explanation:

You have provided no descriptions, so we have shown the lines to let you draw your own conclusion regarding the description that best fits.

Answer:

195

Step-by-step explanation:

Answer:

3/6 or 1/2

Step-by-step explanation:

3 of the blocks are blue out of 6 blocks. Therefore 3/6.

Answer:

can you submit the coordinet plane?

Step-by-step explanation:

First calculate distances or lengths(Refer to attachment)

A:-

[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]

[tex]\\ \sf\longmapsto 5.3+9+11+9+9.7[/tex]

[tex]\\ \sf\longmapsto 15+29[/tex]

[tex]\\ \sf\longmapsto 44[/tex]

B:-

Refer to the attchment

C:-

[tex]\\ \sf\longmapsto \left(\dfrac{1+4}{2},\dfrac{1+6}{2}\right)[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{5}{2},\dfrac{7}{2}\right)[/tex]

D:-

EH>OH

E:-

[tex]\\ \sf\longmapsto Perimeter[/tex]

[tex]\\ \sf\longmapsto 9.7+5.3+9[/tex]

[tex]\\ \sf\longmapsto 24[/tex]

Answer:

The coordinates of the HOUSE:

To find the perimeter first find the length of each side:

The perimeter is:

Use midpoint formula:

The point is (2.5, 3.5)

Answer:

2

Step-by-step explanation:

x^2 - 1 = 9 - 1 = 8

8 / 3 + 1 = 8/4 = 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

2

Step-by-step explanation:

Given, x=3

Now,

x^2 - 1/ x+1

= 3^2-1/3+1

= 9-1/4

=8/4

=2

Answer:

x = 7 1/2

Step-by-step explanation:

We can use proportions to solve

12         5

----- = -----

18          x

Using cross products

12x = 18*5

12x = 90

Divide by 12

12x/12 = 90/12

x = 7 1/2

12/18 = 5/x

12x = 18 × 5

12x = 90

x = 90 ÷ 12

x = 7,5 => x = 7 1/2

There are exactly 81 terms in the sequence.

Start counting with 1 (like non-computer people).

First term is [tex]1=2^0[/tex].

Second term is [tex]2=2^1[/tex].

Third term is [tex]2^2[/tex].

Fourth term is [tex]2^3[/tex].

In general the i-th term is [tex]2^{i - 1}[/tex].

Hope this helps :)

Answer:

-1

Step-by-step explanation:

f(-1) = 2|-1| + 3(-1)

|-1| = 1

=> f(-1) = 2(1) - 3

=> f(-1) = 2 - 3

=> f(-1) = -1

Answer:

21

Step-by-step explanation:

s=2

so, v=2+19

19+2=21