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

Answers

Answer 1

Answer:

-3.64

Step-by-step explanation:


Related Questions

12. In the toy factory where you work, you inspect each toy for
defects as it comes off the assembly line and report the
defect ratio at the end of each day. On Monday, you
inspected 938 toys and recorded 67 of them as defective.
What is the ratio of defective toys to the total number of
toys that you inspected?
F.
938
H.
J.
K.
1: 67
1:14
1:13
13:1
14:1

Answers

67:938
But when you reduce this ratio your final answer is 1:14

Find all points on the x-axis that are 14 units from the point (5, -7)

Answers

Answer:

can you submit the coordinet plane?

Step-by-step explanation:

A chemist is using 332 milliliters of solution of acid and water. If 13.7% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.

Answers

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.

2. A boy scored the given marks in various class-tests during a term, (each test being marked out of 20): 15, 17, 16, 16, 10, 12, 14, 16, 19, 12, 16. (a) What is his modal marks?​

Answers

Answer:

16 is the number occurring most often in the list.

Step-by-step explanation:

Point A and Point B are placed on a number line. Point A is located at -20 and point B is 5 less than point A. Which statement about point B is true?

a. It is located at -25 and is to the right of point A on the number line.
b. It is located at -15 and is to right of point A on the number line
c, It is located at -25 and is to the left of point A on the number line.

Answers

Answer:

so, choose c.

Step-by-step explanation:

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

{Please see the figure on the picture}

If f(x)= 2|x|+3x, then the value of f(-1) is​

Answers

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

probability question

Answers

Uhhh I can’t see the Question???

A: What is the perimeter of HOUSE?
perimeter of HOUSE =


(round to the nearest hundredth - two decimal places)


B: What is the length of OH?

(round to the nearest thousandth - three decimal places)


C: What is the midpoint of OU?


D: Which is longer, OH or EH?


E: What is the perimeter of the triangle HOU?


perimeter of triangle HOU


(round to the nearest hundredth - two decimal points)

Answers

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:

H(-7, 1), O(1, 6), U(4, 1), S(4, -8), E(-7, -8)Part A

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

OH = [tex]\sqrt{(1 +7)^2+(6-1)^2} = \sqrt{64+25} =\sqrt{89}[/tex] ≈ 9.43 unitsOU = [tex]\sqrt{(4-1)^2+(1-6)^2} = \sqrt{9+25} = \sqrt{34}[/tex] ≈ 5.83 unitsUS = 1 - (-8) = 9 unitsSE = 4 - (-7) = 11 unitsEH = 1 - (-8) = 9 units

The perimeter is:

P = 9.43 + 5.83 + 9 + 11 + 9 = 44.26 unitsPart BOH = 9.43 units (see part A)Part C

Use midpoint formula:

x = (4 + 1)/2 = 2.5y = (1 + 6)/2 = 3.5

The point is (2.5, 3.5)

Part DOH = 9.43 units > EH = 9 units (see part A)Part E P(ΔHOU) = OH + OU + HU (or SE) = 9.43 + 5.83 + 11 = 26.26 units

Find k such that 16x2 – 8 /3x+k=0 has a repeated real solution.

Answers

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]

Use the distributive property to simplify each expression 10(9-1)

Answers

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

There are □ terms in the sequence 1,2,2

Answers

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 :)

If the 45 animals on the farm have a total of 150 legs, how many cows does farmer Ken have?

Answers

Answer:

195

Step-by-step explanation:

Which group contains an equivalent percent, decimal, and fraction?
F. 60%, 0.06, 3/5
G. 75%, 7.5, 3/4
H. 90%, 0.9, 9/10
J. 78.5, 0.785, 7/8

Answers

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

Step-by-step explanation: they are all equal

What is the equation of a line perpendicular to y = -3x + 4 that passes through the point (-1, 6)?

Answers

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]

Decmial: 0.77 thanks!​

Answers

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

Which of these is equal to .0625 ??

a. 4 ^ -15

b. 1 / 4^15

c. 16 ^ -2

d. (4 ^ -1) ^ 2

Help please!! I redid my assignment 3 times, and I still didn't get it correct! (The question was to find the 7 ones that equal .0625 , and those are all the ones that I thought didn't equal that)

Answers

The answer is option d.(4^-1)^2

The solution method

(4^-1)^2 ➡️ (1/4)^2 = 0.0625

Don't forget put heart ♥️

evaluate f(x)=-2x²+4x-2 find f(-2)

Answers

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]

Which best describes the relationship between the line that passes through the points (–9, –7) and (–12, –2) and the line that passes through the points (1, 9) and (6, 6)?

Answers

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.

Given f(x) =1/(x^2+4) and g(x) = square root (x+1) Find g(f(x)).

Answers

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]

Evaluate m + 7.5 , when m = 8.6

Answers

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:

Let f(x) = 8x3 + 16x2 − 15 and g(x) = 2x + 1. Find f of x over g of x. WILL GIVE BRAINLIEST!

Answers

Answer:

4x² + 6x - 3 remainder -12

Step-by-step explanation:

Given:

(x) = 8x³ + 16x² − 15g(x) = 2x + 1

To find:

f(x) / g(x)

Use long division:

f(x) / g(x) = (8x³ + 16x² − 15) / (2x + 1)

2x + 1  | (8x³ + 16x² − 15

           | 8x³ + 4x²

                     12x² + 0x - 15

                     12x² + 6x

                               -6x - 15

                               -6x - 3

                                      -12

4x² + 6x - 3 remainder -12

f(x)=8x^3+16x^2-15g(x)=2x+1

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

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

Refer to attachment now

I need to write an expression to represent the volume of this shape

Answers

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]

Find the slope of the line graphed below

Answers

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/

simplify 5 p - 3 - (1 + p) +( 2 - p)​

Answers

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

➡️ [tex] - 4 + 2[/tex]

➡️ [tex] = - 2[/tex]

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

Use the equation v=s+19 to find the value of v when s=2.
V=

Answers

Answer:

21

Step-by-step explanation:

s=2

so, v=2+19

19+2=21

162×(-92)-(-162)×(-5)-162×3​

Answers

Answer:

-16,200

Step-by-step explanation:

162×(-92)-(-162)×(-5)-162×3

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

Answer:

-16200 is your answer....

The rectangles are similar. Find x.

Answers

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

The distance that John covers each day during his morning walks is given in the graph. Using my this information, predict the distance that John may cover on day 6
A: 5.2 miles
B: 4.2 miles
C: 3.2 miles
D: 2.2 miles

Answers

D: 2.2 miles bc the distance that John covers it is

John may cover 2.2 miles on day 6.

The correct answer is option (D)

What is graph?

"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

plz plz help fast plz plZ
no trolls plz​

Answers

Answer:

3/6 or 1/2

Step-by-step explanation:

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

Find the value of this expression if x = 3.
x²– 1/x+1

Answers

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

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