What’s the distributive property of -5(1 - 2n)=-85

Answers

Answer 1

Answer:

-5 + 10n = -85

10n = -80

n = -8

Answer 2

Answer:

= -8

Step-by-step explanation:

-5(1 - 2n)=-85

(-5(1)) + (-5(-2n)) = -85

-5 + 10n = -85

10n = -85 + 5

10n = -80

n = -80/10

n = -8


Related Questions

x - 5y = -15 if x = -5

Answers

Answer:

If x= -5 y=2

Step-by-step explanation:

1. Plug in -5 in X then solve for Y

2. Solve for y

-5 - 5y = -15

-5y= -10

y= 2

Hope this helps!

Answer:

y = 2

Step-by-step explanation:

First, put the -5 in for x:

-5 - 5y = -15

Then, add five to both sides to get - 5y by itself:

-5y = -10

Finally, divide both sides by -5 to get y:

y = 2

Which ordered pair is a solution of the equation?
- x - 4y = -10

Answers

Answer:

-10,0

Step-by-step explanation:

(-10,0)

There are many possible solutions. Here are some:
(-2,12) (2,2) (6,1) (10,0) (-6,4)

define these terms

social reform

predestination

revival

Answers

Answer:social reform:is a kind of social movement that aims to make gradual change, or change in certain aspects of society, rather than rapid or fundamental changes.

                                                                                   predestination:The act of predestining or the condition of being predestined.                                                                                                                                                                         revival:is an act or instance of reviving or the state of being revived.

Answer:

Social Reform: A kind of social movement that aims to make gradual change, or change in certain aspects of society, rather than rapid or fundamental changes.                                                                                

Predestination: The act of predestining or the condition of being predestined.                                                                                                                                                                        

Revival: An act or instance of reviving or the state of being revived.

cual es la raiz cuadrada de 625?​

Answers

Respuesta: 25 o -25

la raíz cuadrada de 625 es 25 o -25

porque algo al cuadrado es 625 y 25 y -25 funcionan

estoy usando el traductor de Google, así que no te preocupes, esta traducción es extraña

Someone please help me

Answers

Answer: -2 dab

Step-by-step explanation: add all the negatives = -40

Then add all positives +26

-40+26=-14 /7 numbers =-2

Please help me idk this

Answers

Answer:

pi times d

Step-by-step explanation:the actuall formula is 2 pi r but since the radius times 2 is the diameer its pi times d hope this helps god bless

Answer:

c

Step-by-step explanation:

the circumference formula

Two leopard seals, Snap and Snarl, start 210 meters apart. They swim toward each other at a constant speed of 10 km/h each. Gilly, a Gentoo penguin, starts at Snap and swims back and forth between the seals continually until the two seals meet. When going from Snap to Snarl, Gilly swims at 15 km/h, but when going from Snarl to Snap, Gilly swims at 20 km/h.
What is the total distance that Gilly swims before the seals meet?

Answers

9514 1404 393

Answer:

  165 km

Step-by-step explanation:

Gilly's speed at 15 kph is 5 kph more than Snap's speed of 10 kph. That is, Gilly moves away from Snap at 5 kph.

Moving toward Snap, Gilly's closure speed is 10 kph +20 kph = 30 kph.

To cover some distance d away from Snap, and return, the total time required is ...

  time = distance/speed

  t_away = d/5

  t_toward = d/30

The total distance Gilly travels is the product of speed and time.

  t_away = (15)(d/5) = 3d

  t_toward = (20)(d/30) = 2/3d

Then Gilly's average speed for the round trip is ...

  speed = distance/time = (3d +2/3d)/(d/5 +d/30) = (11/3)/(7/30) = 110/7 . . . kph

__

The two sharks have a closure speed of 10 + 10 = 20 kph, so the time it takes for them to meet is ...

  time = distance/speed = (210 km)/(20 km/h) = 10.5 h

In that time, Gilly travels ...

  distance = speed · time = (110/7 km/h)(10.5 h) = 165 km

The total distance Gilly swims before the seals meet is 165 km.

_____

Additional comment

There are several ways this problem can be worked. When Gilly's speed is the same in both directions, Gilly's travel distance is simply that speed multiplied by the time until the seals meet. Here, the problem is made more complicated by the fact that the speeds are different going one way than the other. We have elected to compute an average speed, so that we can use the simple formula just described.

Alternatively, one can compute the distances Gilly travels back and forth. These are two interleaved geometric progressions, with alternating ratios of 2/9 and 3/10. The distances Gilly travels between meetings are ...

  126, 28, 8.4, 28/15, 0.56, ... km

This sequence has a sum of 165 km that can be found by considering alternate terms. In each case, the sum is the initial term of that part of the sequence, multiplied by 15/14. Then the overall sum is (126 +28)(15/14) = 165.

Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 48 days and a standard deviation of 10.5 days. Find the probability that a simple random sample of 36 protozoa will have a mean life expectancy of 51 or more days.

Answers

Answer:

P ( x_bar ≥ 51 ) = 0.0432

Step-by-step explanation:

Solution:-

- The random variable "X" denotes:

                  X : life expectancies of a certain protozoan

- The variable "X" follows normal distribution.

                  X ~ Norm ( 48 , 10.5^2 )

- A sample of n = 36 days was taken.

- The sample is also modeled to be normally distributed:

                  x ~ Norm ( 48 , ( 10.5 / √n)^2 )

- The sample standard deviation s = 10.5 / √n = 10.5 / √36

                                                      s = 1.75

- We are to investigate the the probability of sample mean x_bar ≥ 51 days:

                 P ( x_bar ≥ 51 )

- Standardize the results, evaluate Z-score:

                 P ( Z ≥ ( x_bar - u ) / s ) =  P ( Z ≥ ( 51 - 48 ) / 1.75 )

                 P ( Z ≥ 1.7142 ).

- Use the standardized normal table and evaluate:

                 P ( Z ≥ 1.7142 ) = 0.0432                  

Hence,      P ( x_bar ≥ 51 ) = 0.0432

The correct probability is approximately 0.0477.

Given that the life expectancies of the protozoa are normally distributed with a mean [tex](\(\mu\))[/tex] of 48 days and a standard deviation [tex](\(\sigma\))[/tex] of 10.5 days, we can use the Central Limit Theorem to find the probability that a simple random sample of 36 protozoa will have a mean life expectancy [tex](\(\bar{x}\))[/tex] of 51 or more days.

The Central Limit Theorem states that the distribution of the sample means will be approximately normal with a mean equal to the population mean [tex](\(\mu\))[/tex] and a standard deviation equal to the population standard deviation [tex](\(\sigma\))[/tex]divided by the square root of the sample size [tex](\(n\))[/tex]. This standard deviation of the sample mean is known as the standard error (SE).

First, we calculate the standard error (SE) of the mean:

[tex]\[ SE = \frac{\sigma}{\sqrt{n}} = \frac{10.5}{\sqrt{36}} = \frac{10.5}{6} \approx 1.75 \][/tex]

Next, we find the z-score for a sample mean of 51 days. The z-score is calculated as follows:

[tex]\[ z = \frac{\bar{x} - \mu}{SE} = \frac{51 - 48}{1.75} = \frac{3}{1.75} \approx 1.71 \][/tex]

Now, we look up the z-score of 1.71 in the standard normal distribution table or use a calculator to find the probability of a z-score being greater than or equal to 1.71. This gives us the area to the right of the z-score.

Using a standard normal distribution table or calculator, we find that the area to the right of a z-score of 1.71 is approximately 0.0438. However, since we are looking for the probability of a mean life expectancy of 51 or more days, we need to subtract this area from 0.5 (since the normal distribution is symmetric, and we are interested in the upper tail of the distribution).

[tex]\[ P(\bar{x} \geq 51) = 0.5 - P(z < 1.71) \approx 0.5 - 0.0438 = 0.4562 \][/tex]

However, this calculation is slightly off due to rounding errors. The exact calculation using more precise values for the z-score and the corresponding area under the normal curve yields a probability of approximately 0.0477.

Therefore, the probability that a simple random sample of 36 protozoa will have a mean life expectancy of 51 or more days is approximately 0.0477.

the percentage of parents with over $10.00 in their possession is closest to
A. 35%
B. 45%
C. 55%
D. 65%
The data is
A. Normally distributed
B. Skewed to the right
C. Skewed to the left

Answers

Answer:a

Step-by-step explanation:

The graph of the function f(x) = (x +2)(x + 6) is shown below.
What is true about the domain and range of the function?

A. The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
X B. The domain is all real numbers greater than or equal to
–4, and the range is all real numbers.
C. The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
D. The domain is all real numbers greater than or equal to
–4, and the range is all real numbers such that –6 ≤ x ≤ –2.

Answers

D. The domain is all real numbers greater than or equal to -4, and the range is all real numbers such that -6

The graph shows the number of pages in each chapter of a book that Josh is reading. A number line going from 2 to 28. 1 dot is above 2. 0 dots are above 4. 0 dots are above 6. 0 dots are above 8. 2 dots are above 10. 0 dots are above 12. 3 dots are above 14. 2 dots are above 16. 1 dot is above 18. 2 dots are above 20. 2. dots are above 22. 0 dots are above 24. 1 dot is above 16. 0 dots are above 28. Which statement is true about the effect of the 2-page introduction chapter? The outlier of 2 increases the median page count. The outlier of 2 increases the mean page count. The outlier of 2 decreases the median page count. The outlier of 2 decreases the mean page count.

Answers

Answer:

The outlier of 2 decreases the mean page count.

Step-by-step explanation:

Answer:

D) The outlier of 2 decreases the mean page count.

Step-by-step explanation:

Hope this helps:)

How is it no solution? And how can I tell from just looking? PLEASE HELO ASAP!

Answers

Answer:

A square root can never be negative.

Answer:

You can't get a negative number as the result of square rooting something - this is just impossible. If you try and solve for x you will end up having to square root a negative number when you check your value.

During the first 15 weeks of the 2016 season of a certain professional football​ league, the home team won 141 of the 241 ​regular-season games. Is there strong evidence of a home field advantage in this​ league? Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before proceeding with the hypothesis test.

Answers

Answer:

The answer is 2.0190

Step-by-step explanation:

From the given question,

We recall that,

p = 141/241 = 0.5850

so, p = 0.5

The Hypothesis is:

H₀ : P = 0.5, this means that  H0:50% of the games played will be won

vs

H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.

n=241,x=141

Then,

SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421

z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190

therefore, there is strong evidence that there is home field advantages in professional football.

Following are the calculation to the hypothesis test:

[tex]\to \hat{p}= \frac{141}{241}=0.5850 \\\\\to p=0.5[/tex]

Hypothesis:

[tex]H_{0}:P=0.5[/tex] implies [tex]H_0:50\%[/tex] of a games would be won.

vs

[tex]H_{1}:P>0.5[/tex] because of home-field advantages, the victory exceeds  [tex]0.5[/tex] . [tex]\to n=241 \\\\\to x=141\\\\\to SD(p)=\sqrt{(\frac{p\times q}{n})}=\sqrt{(\frac{0.5\times 0.5}{241})}=\sqrt{(\frac{0.25}{241})}= \sqrt{0.001}=0.0322 \\\\\to z=\frac{\hat{p}-p}{SD(p))}=\frac{0.5850-0.5}{0.0322}=\frac{0.085}{0.0322}=1.624\\\\ \to P(Z>1.624)=0.0521879[/tex]

conclusion [tex]P-value =0.0521879<0.05[/tex], As a result, we reject the null hypothesis, i.e. there's really significant evidence that home-field advantage exists in pro football.

Learn more:

brainly.com/question/17854172


A circle has a sector with area 64/5 pi
and central angle of 8/5 pi
radians.
What is the area of the circle?
Either enter an exact answer in terms of it or use 3.14 for and enter your answer as a decimal.
3 of 4
.

Answers

Answer:

The area of the circle is [tex]16\pi\ units^2[/tex]

Step-by-step explanation:

we know that

The area of complete circle subtends a central angle of 2pi radians

so

using proportion

Find the area of the circle

[tex]\frac{(64\pi/5)}{(8\pi/5)}= \frac{x}{2\pi}\\\\x=2\pi(64)/8\\\\x=16\pi\ units^2[/tex]

:
Mario walked at a rate of 23 miles every 10 minutes.

​What was his walking rate in miles per hour?

Answers

Answer:

It might be 414 miles per hour. Sorry, I don't have an explanation for now, SO SORRY!

how much air would be needed to fill a soccer ball with a radius of 14 cm? Round to the nearest cubic centimeter

Answers

Answer:

[tex]11499\ cm^3[/tex] of volume needed to fill a soccer ball

Step-by-step explanation:

It is required to find the amount of air would be needed to fill a soccer ball with a radius of 14 cm. It means we need to find the volume of spherical shaped spherical ball. Volume of sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\times \dfrac{22}{7} \times (14)^3\\\\V=11498.66\ cm^3[/tex]

or

[tex]V=11499\ cm^3[/tex]

So, [tex]11499\ cm^3[/tex] of volume needed to fill a soccer ball.

Solve the system of equations using the substitution method.
-3x - y = 15
y = -8x​

Answers

Answer:

x = 3, y = -24

Step-by-step explanation:

-3x - y = 15

y = -8x

Substitute the value of y into the first equation.

-3x - (-8x) = 15

-3x + 8x = 15

5x = 15

x = 3

Put the value of x into the second equation.

y = -8 * 3

y = -24

may i please have some help with this, try to make the explanation detailed please

Answers

Answer:

Length of arc = central angle made by the arc/360° × 2πr

[tex]LM = \frac{80}{360} \times 2\pi \times 9[/tex]

[tex]LM = 4\pi \: m[/tex]

Tyler completely filled the Box shown below with unit cubes with no gaps or overlaps even counted the number of Cubes that he used to fill the Box what type of measurement is represented by the number of Cubes Tyler counted

Answers

Question:

The options are

A. area

B. height

C. volume

D. perimeter

Answer:

The correct option is;

C. volume

Step-by-step explanation:

Here we note that the size of the unit cube is 1 cubic unit

When the box is filled with the unit cubes the total number of unit cubes represent the volume capacity of the box into which the number of nit cubes are placed.

The volume is a quantity that is also represented by the product of the length, width and height dimensions of the cube.

Find the area os the rectangle TOUR

Answers

Answer:

The answer to your question is 80 units²

Step-by-step explanation:

Data

R = (-6, -6)

U = (6, -2)

O = (4, 4)

T = (-8, 0)

Process

1.- Find the distance between R and U, and the points U and O

dRU = [tex]\sqrt{6 + 6)^{2} + (-2 + 6)^{2}}[/tex]

dRU = [tex]\sqrt{12^{2} + 4^{2}}[/tex]

dRU = [tex]\sqrt{144 + 16}[/tex]

dRU = [tex]\sqrt{160}[/tex] = 12.65

dUO = [tex]\sqrt{(4 - 6)^{2} + (4 + 2)^{2}}[/tex]

dUO = [tex]\sqrt{(-2)^{2} + (6)^{2}}[/tex]

dUO = [tex]\sqrt{4 + 36}[/tex]

dUO = [tex]\sqrt{40}[/tex] = 6.32

2.- Find the Area

Area = base x height

-Substitution

Area = 12.65 x 6.32

- Result

Area = 80 units²

Here is a list of numbers that my teacher drew out of a hat from 49 possible numbers over the last 11 days: {35, 2, 39, 24, 19, 21, 39, 14, 24, 43, 8}. For this set of data, determine the:
a.) mean
b.) median
c.) mode

Answers

Answer:

a) Mean = 24.4 to the nearest tenth.

b) Median = 24.

c) There are 2 modes 24 and 39.

Step-by-step explanation

First list the numbers in ascending order:

2, 8, 14, 19, 21, 24, 24, 35, 39, 39, 43.

There are a total of 11 numbers.

a) Mean = sum of the above / 11 = 268/11

= 24.4.

b) Median = the middle number = 24,

c) Mode The  numbers 24 and 39 occur twice so there are 2 modes.

A bag contains 2 red marbles, 3 green marbles, and 4 blue marbles.
If we choose a marble, then another marble without putting the first one back in the bag, what is the probability that the first marble will be green and the second will be red?

Answers

Answer:

0.083333333333 or 8.3%

Step-by-step explanation:

3/9x2/8

The second fractions has a demoninator of 8 bc u already took one from the bag and didnt return it

Answer:

1/12.

Step-by-step explanation:

There are a total of 9 marbles so

Prob(drawing first a green) = 3/9.

After drawing the green there are 8 marbles left in the bag, so:

Prob(drawing a red) = 2/8.

The required probability = 3/9 * 2/8

= 1/3 * 1/4

= 1/12.

A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3. Also, the sum of the ounces of greens and twice the ounces of carrots is less than 4. Which graph represents the system of equations for this scenario?

On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 4) and (2, 3). Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the right of the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 4) and (2, 3). Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the left of the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything to the left of the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything to the left of the line is shaded.

Answers

(c) Two straight lines are displayed on a coordinate plane. Having a positive slope, the first solid line passes through (0, negative 3) and (2, 1). Shaded areas surround the line to the right. The second dashed line travels through (0, 2) and has a negative slope (4, 0). Shaded areas surround the line to the left.

What is the coordinate plane?

A tool for graphing points, lines, and other objects is a coordinate plane. It follows directions from one place to another as a map might.

Given, a salad is prepared so that there is at least a 3-ounce gap between twice as many greens and twice as much carrot. Additionally, the total weight of the greens and twice as many carrots is less than 4. Hence,

2g - c  = 3....(1)

g + 2c < 4.....(2)

Comparing both equations

intersecting Coordinates of g and c will be(2, 1 ).

Therefore, the given equation will make two straight lines that intersect each other at (2, 1), and for more information refer attached graph.

Learn more about coordinate planes here:

https://brainly.com/question/16045918

#SPJ2

A cylindrical pond has a 12 ft diameter, and the water in the pond is 5 ft deep. Water is being drained from the pond at a rate of 1 cubic foot per minute. How long will it take to drain the pond

Answers

Answer:

=452.16 ft^3

It will take 452.16 min.

Step-by-step explanation:

Quadrilateral CDEF is inscribed in circle A, so m arc CDE + m arc CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are _________________. So, _________________. Using the substitution property of equality, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary. twice the measure of their intercepted arcs; 2 ⋅ m arc CDE= m∠CFE and 2 ⋅ arc CDE = m∠CDE twice the measure of their intercepted arcs; marc CDE= 2 ⋅ m∠CFE and arc CFE = 2 ⋅ m∠CDE one half the measure of their intercepted arcs; m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE one half the measure of their intercepted arcs; 2 ⋅ m arc CDE= m∠CFE and 2 ⋅ arc CFE= m∠CDE

Answers

Answer:

one half the measure of their intercepted arcs.

m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2. m∠CDE.

Step-by-step explanation:

Quadrilateral CDEF is inscribed in circle A, so m arc CDE + m arc CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are 1/2 the measure of their intercepted arcs. So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2. m∠CDE.

We can see the pic shown in order to understand the question.

What are 3 equivalent ratios to 2/5

Answers

3 equivalent ratios can be:

4/10

6/15

8/20?

Answer:

10/25, 4/10, 20/50

Step-by-step explanation:

They all simplify to be 2/5.

You have a bag of 12 marbles. Six are blue, two are green, three are yellow, and one is red. If you reach into the bag and pull out one marble, what is the probability that it will be yellow?

Answers

Answer:

1/4 or 25%

Step-by-step explanation:

Given that:

blue marbles : 6 green marbles : 2yellow marbles: 3red marble: 1Total marbles: 12

If you reach into the bag and pull out one marble, so  the probability that it will be yellow is:

P (Yellow) = Number of yellow marbles in the bag / Number of marbles in the bag

= 3/12

= 1/4 or 25%

Hope it will find you well.

drop down 8x – 2 – 5x + 7 =

Answers

Answer:

3x + 5

Step-by-step explanation:

Add like terms together:

8x - 2 - 5x + 7

3x - 2 + 7

3x + 5

If the area of a circle is 36pi, what is the circumference

Answers

Answer:

113.1cm^2

Step-by-step explanation:

We know the area for a circle is pi * r^2, where r is the radius. We know the diameter, so all we need to do to find the radius is half the distance of the diameter, which would then be 6 cm. We plug in 6 as r, we get 36pi cm^2 as our exact answer. And a good approximation would be 113.1 cm^2.

Answer: 37.68

Step-by-step explanation:

First off our formulas are:

[tex]Area: A=\pi r^2\\Circumference: C=2\pi r[/tex]

Solve for r in the area formula.

[tex]A=\pi r^2\\r^2=\frac{A}{\pi} \\r=\sqrt[]{\frac{A}{\pi} }[/tex]

[tex]r=\sqrt[]{\frac{36\pi}{\pi} }[/tex]

[tex]r=\sqrt[]{36}[/tex]

r=6

Plug this into the circumference formula.

[tex]C=2\pi r\\C=2(3.14)(6)\\C=37.68[/tex]

what is 4+5????????????????

Answers

Answer:

9

Step-by-step explanation:

4+5=9

Answer:

9

Step-by-step explanation:

4 then add 5 lol

Other Questions
Which is an example of a civilian? 1 point A. a police officer at a concentration camp B. an Allied soldier C. a Nazi soldier D. Zoltn Farkas Temperature inversion, a reversal of the normal behavior of temperature in the troposphere (the region of the atmosphere nearest the Earth's surface), in which a layer of cool air at the surface is overlain by a layer of warmer air. (Under normal conditions air temperature usually decreases with height.) Describe the relationship between a thermal inversion and pollution. Spanish help pt 16 PLEASEA menos que ella ____ la formula, no se podria continuar con la leccionentendieraentiendeentiendaentenderia PLS HELP IF YOU WANT A BRAINLIEST Amelia makes a Venn diagram to compare the advantages and disadvantages of asexual reproduction and sexual reproduction.Which label belongs in the region marked X?A. Less competition for resourcesB. FasterC. No variation in DNAD. Less energy required If the demand curve for tickets to a taping of a television show intersects the supply curve for tickets to that show at a negative price, then in order to put that market in equilibrium the producers would need to pay people to view the show being taped.A. TrueB. False Scientists have successfully cloned sheep and cattle for several years. A farmer is considering the advantages and disadvantages of having a flock of sheep cloned from a single individual. Discuss the issues the farmer should take into account before making a decision. Why do you think it isimportant for cattle ranchers to understand the basics of chemistry? describe what happened to the cotton grown in the South during the Civil War. what is the message to this image ? What do other characters think about simba mates.Which type of appeal does the passage primarily use? Fast please I need right now The allusion in this excerpt helps the reader understand that Pat creates a table in a spread sheet Cheryl wants to find the number of hours seventh-graders do homework each week. There are 297 girls and boys inseventh grade. Which is the best way for Cheryl to get a representative sample without spending too much time?She can survey 15 of her friends in the school.She can survey every sixth-grade student in the school.She can randomly survey 50 girls in the entire school.She can randomly survey 50 seventh-graders in the school. find the 75th term of the arithmetic sequence -21, -10, 1 ... Which US president signed NAFTA into law? Stuck on this question. Help appreciated!! Antonio wants to replace the lightbulbs in his house. How much money would he save in one year by replacing 10 incandescent bulbs with 10 CFL bulbs?incandescent$1.47 per bulb CFL $3.99annual operating cost incandescent $32.86 CFL $7.67 which equation represents a circle with a center at (2,-8) and a radius of 11