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:

12.7 m

Step-by-step explanation:

use pythagorean theorem

[tex]13^{2} + b^{2} = 18.2^{2}[/tex]

rounds to 12.73735

not fully sure if that's right

Answer:

D

Step-by-step explanation:

hhgxhsbjxkxjebdibfhejx

9514 1404 393

Answer:

  (b)  6^10/7^6

Step-by-step explanation:

The applicable rules of exponents are ...

  (a/b)^c = (a^c)/(b^c)

  (a^b)^c = a^(bc)

__

This means you have ...

  [tex]\left(\dfrac{6^5}{7^3}\right)^2=\dfrac{(6^5)^2}{(7^3)^2}=\dfrac{6^{5\cdot2}}{7^{3\cdot2}}=\boxed{\dfrac{6^{10}}{7^6}}[/tex]

__

Additional comment

I find it helpful to remember that an exponent signifies repeated multiplication. Then ...

  [tex]\left(\dfrac{6^5}{7^3}\right)^2=\left(\dfrac{6^5}{7^3}\right)\cdot\left(\dfrac{6^5}{7^3}\right)=\dfrac{6^5\cdot6^5}{7^3\cdot7^3}=\dfrac{6^{5+5}}{7^{3+3}}=\dfrac{6^{10}}{7^6}[/tex]  

The level of measurement that is most appropriate for the temperatures of eight different plastic spheres is the interval scale.

An interval scale shows magnitude and order. It shows numerical difference between values on same scale which are distinguished and are equal.

One common property of the interval scale is that it has an arbitrary zero point which is perfectly exhibited by the temperature measurement. This implies that the scale of measurement has no zero point because zero on the Centigrade scale is 32 degrees on the Fahrenheit scale.

Therefore, temperature measurement of eight different spheres can be regarded as an interval scale.

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Answer:

300 dimes in total

Step-by-step explanation:

He has 6 rows with 50 in each. 6 times 50 = 300 dimes

Answer:

300

Step-by-step explanation:

1 roll = 50 dimes

6 roll = x                       Cross multiply

1*x = 50 * 6

x = 300 dimes

He has 300 dimes altogether.

Answer:

mistaken,

incorrect,

wrong,

bad,

untruthful

Answer:

Extraneous solution

Step-by-step explanation:

Extraneous solutions are solutions that come from solving a problem but are ultimately not a valid solution.

There are 13 ways to make change for 60¢ using only nickels, dimes and quarters.

In the United States of America, a nickel equals 0.05 dollar, a dime equals 0.10 dollar and a quarter equals 0.25 dollar.  

For 0.60 dollar we have the following expression in terms of nickels ([tex]n[/tex]), dimes ([tex]d[/tex]) and quarters ([tex]q[/tex]):

[tex]0.25\cdot q + 0.10\cdot d + 0.05\cdot n = 0.60[/tex], where [tex]q,\,d,\,n \in \mathbb{N}_{O}[/tex] (1)

Since quarters are the money of greatest value, we assume arbitrary quantities and count corresponding solutions, whose representations are included below:

[tex]n = 12-2\cdot d[/tex] (2)

According to the first graph, there are seven forms in this scenario.

Case 2 ([tex]q = 1[/tex])

[tex]n = 7-2\cdot d[/tex] (3)

According to the graph case_2, there are four forms in this scenario.

[tex]n = 2- 2\cdot d[/tex]

According to the graph case_3, there are two forms in this scenario.

Hence, there are 13 forms to make change for 60¢ using only nickels, dimes and quarters. [tex]\blacksquare[/tex]

To learn more on combinations, we kindly invite to check this verified question: https://brainly.com/question/1216161

Answer:

105+105+2x=360 and x=75

Step-by-step explanation:

z=75

Answer:

Step-by-step explanation:

Answer:

25 is the answer because the numbers are in the relation of (×2+1). 5×2+1=11 7×2+1=15 9×2+1=19 12×2+1=25.

According to the table,

• € 1 = R 12,75

• $ 1 = € 0,70

• $ 1 = R 8,89

Then

€ 250 × (R 12,75 / € 1) = R 3.187,5

$ 1300 × (€ 0,70 / $ 1) = € 910

$ 680 × (R 8,89 / $ 1) = R 6.045,2

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Answer:

  (c)  16

Step-by-step explanation:

The figure will be a parallelogram when opposite angles are congruent. We already know X and Z are congruent, so we need to find x so that W = Y.

  x +3 = 2x -13

  16 = x . . . . . . . . . . add 13-x to both sides

Answer:

The decimal 0.6 is a rational number. It is the decimal form of the fraction 6/10.

Answer:

Yes. 0.6 is a rational number.

Answer: A. 32

Concept:

Here, we need to know the idea of the intersecting chord theorem and segment addition postulate.

The intersecting chord theorem states that when two chords intersect at a point, P, the product of their respective partial segments is equal.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Given information

CW = 12

TW = 14

VW = 2x + 5

UW = 2x + 2

Given expression deducted from intersecting chord theorem

CW · VW = TW · UW

Substitute values into the expression

(12) · (2x + 5) = (14) · (2x + 2)

Expand parentheses and apply the distributive property

24x + 60 = 28x + 28

Subtract 14x on both sides

24x + 60 - 24x = 28x + 28 - 24x

60 = 4x + 28

Subtract 28 on both sides

60 - 28 = 4x + 28 - 28

32 = 4x

Divide 4 on both sides

32 / 4 = 4x / 4

x = 8

Given expression deducted from the segment addition postulate

UT = UW + TW

Substitute values into the expression

UT = 2x + 2 + 14

Substitute x value into the expression

UT = 2 (8) + 2 + 14

UT = 16 + 2 + 14

Combine like terms

UT = 32

Hope this helps!! :)

Please let me know if you have any questions

The answer you are looking for is x=3.

Solution/Explanation:

First, writing out the equation,

2x+4+2=7x-6-3.

Next, simplifying the equation just a little bit more, with the four numbers that do not include the variable "x" at all,

2x+6=7x-9.

Now, subtracting 7x from both sides of the equation,

2x+6-7x=7x-9-7x.

Regrouping the positions of the terms, using the Associative Property,

2x-7x+6=7x-7x-9.

Simplifying, and also, canceling out the 7x, since 7x-7x=0.

2x-7x+6=0-9, or 2x-7x+6=-9.

Simplifying "2x-7x," which is -5x,

-5x+6=-9.

Now, subtracting 6 from both sides,

-5x+6-6=-9-6.

Canceling out the "6," since 6-6=0,

-5x=-9-6.

Solving for "-9-6," which is "-15,"

-5x=-15.

Finally, dividing both sides by "-5,"

-5x/-5=-15/-5.

Simplifying "-5x/-5=-15/-5,"

-5x/-5=x.

And, also, -15/-5=3.

This eventually leads to x=3.

So, therefore, the final answer is x=3.

I hope that this has helped answer your question. Good day to you.

Answer:

The answer is x=3.

Step-by-step explanation:

2x+6=7x-9

-5x=-15

x=3

Answer:

7% of composed of other elements

Step-by-step explanation:

you have to add the percentages you have then fi d the missing amount

Answer:

7%

Step-by-step explanation:

65 + 18 + 10 = 83 + 10 = 93

100- 93 = 7

7%

Answer:

Step-by-step explanation:

DC=2-0=2

Or

DC=√[(2-0)²+(-2-(-2))²]=√[4+(-2+2)²]=√4=2

BC=(0-(-2))=2

Or

BC=√[(2-2)²+(-2-0)²]

=√[0+4]

=2

AB=√[(2-0)²+(0-4)²]

=√[4+16]

=√20

=2√5

Perimeter=2[DC+BC+AB]

=2[2+2+2√5]

=2[4+2√5]

=8+4√5 Units

Answer:

98765 is the greatest digit that can be formed using those numbers

[tex]\\ \sf\longmapsto m<1+m<CUS=m<CUB[/tex]

[tex]\\ \sf\longmapsto m<1+48=78[/tex]

[tex]\\ \sf\longmapsto m<1=78-48[/tex]

[tex]\\ \sf\longmapsto m<1=30[/tex]

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Answer:

  19.3 g/cm³

Step-by-step explanation:

There are 2.54 cm in one inch, so the weight of 1 cm³ is ...

   (316 g/in³) ÷ (2.54 cm/in)³ = 19.3 g/cm³

Answer:

probability is 32/52 or about 0.615

Step-by-step explanation:

There are 12 face cards

of the remaining 52 - 12 = 40 cards, half of them are black

so 12 + 40/2 = 32 cards would be considered successful

Answer:11/3

Step-by-step explanation:

Horse = x = 1 head and 4 feet

Chicken =y = 1 head and 2 feet

Horse + chicken = x + y = 43 ( total heads)

Horse = 43 - y

4x + 2y = 122

4(43-y) + 2y = 122

Simplify:

172-4y + 2y = 122

Combine like terms

172-2y = 122

Subtract 172 from both sides

-2y = -50

Divide both sides by-2

Y = 25

X + y = 43

X + 25 = 43

X = 18

There are 18 horses and 25 chickens.

Answer:

1200 pound

Step-by-step explanation:

year 1: 2 rabbits

year 2: 2 rabbits x 3 = 6 rabbits

year 3: 6 rabbits x 3 = 12 rabbits

12 rabbits x 100 pounds = 1200 pounds

Step-by-step explanation:

it is unclear what is meant by f1 and f2. do you mean f' and f'' ?

I don't think so, as you mentioned algebra 2.

so, is it just a way to identify different functions ? like function 1 vs. function 2 ?

if that's the case, then both functions represent lines.

both lines go through the origin.

but as their slopes are of same size but different sign, one is actually the mirrored version of the other one (mirrored around the x-axis).

FYI - the created visible pattern (4 lines emanating from the origin) would also indicate that the visible pattern (but not the functions) is also mirrored around the y-axis.

The volume of the given figure us = 36 cubic units

The formula for calculating the volume of rectangular prism is expressed as:

V =lwh

where

l is the length

w is the width

h is the height

T of the given figure is expressed as:

V = 2(3)(5) + 2(3)(1)

V = 30 + 6

V = 36 cubic units

Hence the volume of the given figure is 36 cubic units

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Answer:

1 7/8

Step-by-step explanation:

The property of real numbers that justifies the work done to simplify the expressions below is the distributive property of multiplication.

The distributive property of multiplication states that the same result is obtained by multiplying the sum of two or more addends by a number or multiplying each addend individually and adding the products.

The steps for the distributive property of multiplication are:

Thus, the property of real numbers that justifies the work done to simplify the expressions below is the distributive property of multiplication.

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Answer:

(15,8)

Step-by-step explanation:

steps are in the picture above.