Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?
The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
The actual product is unreasonable. It should be near 80 but less than 80 because both factors were rounded down.
The actual product is reasonable because the estimate and actual answers both have two places to the left of the decimal.
The actual product is unreasonable because the estimate has zero places to the right of the decimal and the actual product has one decimal place to the right of the decimal.

The variance of the set  { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 } is 7.5

What is Variance?

Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value

Given data ,

The set S = { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 }

Step 1 :

To calculate the mean ,

Mean = Sum of Observations / Number of Observations

         = ( 2 + 6 + 8 + 3 + 7 + 9 + 1 + 4 ) / 8

         = 40 / 8

         = 5

Step 2 :

Take each difference from mean and square it

( 2 - 5 )² = 9

( 6 - 5 )² = 1

( 8 - 5 )² = 9

( 3 - 5 )² = 4

( 7 - 5)² = 4

( 9 - 5 )² = 16

( 1 - 5 )² = 16

( 4 - 5 )² = 1

And Sum of 9 + 1 + 9 + 4 + 4 + 16 + 16 + 1 = 60

Step 3 :

Variance = The mean of squared difference

               = 60 / 8

               = 7.5

Hence , the variance is 7.5

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Answer:

w =2.5

Step-by-step explanation:

the area of the triangle is 6*5 divided by half which is 15. this means that the area of the rectangle is also 15. so to find the value of the width we have to divide the area by the known value to get our answer. 15/6 is equal to 2.5 so that's what the value of w is.

Answer:

y=3x+8

Step-by-step explanation:

y-4=3x+5y

+4       +4

y=3x+5y+4

-5y    -5y

-4y=3x+4

+4       +4

y=3x+8

A. 60

Step-by-step explanation:

ZA + ZB + ZC = 180°

180° ÷ 3 = 60°

Answer:

Sides are x and x + 3.5 cm

Perimeter = 2(x + (x + 3.5))cm

4x +7 = 67

x = 15cm Answer

Step-by-step explanation:

HOPE THIS HELPED!

Answer:

1.5 miles

Step-by-step explanation:

Since Joan need to run 5 miles without stopping and already runs 3.5 miles without stopping, the number of miles more she must run non-stop to achieve her goal of 5 miles without stopping is the difference between her 5 mile goal and her current run of 3.5 miles.

So, number of miles she must run = 5 miles - 3.5 miles = 1.5 miles.

So, Joan must run 1.5 miles more non-stop to achieve her goal.

Answer:

y=x+20

Step-by-step explanation:

Answer:

b(8b+7)

trust meeeeeee

Answer:

equivalent fractions of 3/5 are 6/10, 9/15 and 12/20.

Step-by-step explanation:

hope this helped! have a good day<3

Answer:

50 miles

Step-by-step explanation:

If one inch is 20 miles do 2 times 20 you get 40. it’s .5 so half and half of 20 is ten, add it up and you get 50.

Answer:

50 miles

Step-by-step explanation:

Answer:

20% = 4 people

100% = 20 people

Step-by-step explanation:

There are a total of 20 players on the soccer team.

Answer:

Nothing :(

Step-by-step explanation:

No money :(

Answer:

Step-by-step explanation:

Black Friday is an informal name for the Friday following Thanksgiving Day in the United States, which is celebrated on the fourth Thursday of November. ... Many stores offer highly promoted sales on Black Friday and open very early, such as at midnight, or may even start their sales at some time on Thanksgiving.

Answer:

its A.!!!!

Step-by-step explanation:

Answer

1 is 21 2 is 102 3 is 58 4 is 41 5 is 21 6 62

Step-by-step explanation:

pls mark brainliest

Answer:

7. 21

8. 102

9. 58

10. 41

11. 21

12. 62

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

51+(2x+3)=100

54+2x=100

-54         -54

2x=46

x=23

Answer:

PLZ MARK BRAINLIEST THE ANSWER IS 9

Step-by-step explanation:

the MPH is 45 miles per hour, 45 divided by 60=0.75. 0.75x12=9

Answer:

Average rate of change = 0.4

Step-by-step explanation:

Average rate of change of a function in the interval [a, b] is defined by the formula,

Rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

From the table attached,

Rate of change of the function in the interval 20 ≤ x ≤ 40 will be

= [tex]\frac{f(40)-f(20)}{40-20}[/tex]

= [tex]\frac{24-16}{40-20}[/tex]

= [tex]\frac{8}{20}[/tex]

= [tex]\frac{2}{5}[/tex]

= 0.4

Therefore, average rate change of the function in the given interval 20 ≤ x ≤ 40 is = 0.4

Answer:

-5/8

Step-by-step explanation:

Answer:

3(34) + 20 -> Angle 6 = 122

2(34) - 10 -> Angle 3 = 58

Step-by-step explanation:

Since measure of angle 2 is equal to measure of angle 6, and measure of angle 7 is equal to measure of angle 3, we can determine the angle measures for angle 3 and angle 6.

First, we solve for x by adding together the two equations and setting it equal to 180 because of the supplementary angles theorem.

3x + 20 + 2x - 10 = 180

Combine like terms.

5x + 10 = 180

Subtract 10, then divide by 5 on both sides.

5x = 170

x = 34

Now we can plug the x value into the equations.

3(34) + 20 -> Angle 6 = 122

2(34) - 10 -> Angle 3 = 58

#teamtrees #WAP (Water And Plant)

Answer: 48=19 X 2

Step-by-step explanation:

its allin the math

Answer:

2.5

Step-by-step explanation:

you do 10 divided by 2/3

Answer:

15 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(- 1, - 2) and (x₂, y₂ ) = B(8, 10)

d = [tex]\sqrt{(8+1)^2}+(10+2)^2[/tex]

   = [tex]\sqrt{9^2+12^2}[/tex]

    = [tex]\sqrt{81+144}[/tex]

    = [tex]\sqrt{225}[/tex]

    = 15

Answer:

P₂  = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]  

Step-by-step explanation:

Given expression:

     Boyle's law:

             P₁ V₁   = P₂ V₂

Problem is to find P₂;

Solution:

              P₁ V₁   = P₂ V₂

 To solve this problem, multiply both sides by [tex]\frac{1}{V_{2} }[/tex];

   P₁ V₁  x   [tex]\frac{1}{V_{2} }[/tex]; = P₂ V₂  x  [tex]\frac{1}{V_{2} }[/tex];

     [tex]\frac{1}{V_{2} }[/tex] cancels out V₂ on the right hand side;

              P₂  = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]  

Answer:

21

Step-by-step explanation:

168 divided by 8

Answer:

The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Step-by-step explanation:

let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.

from the condition given in the question we can write

9x + 13y + 9z = 257 ........ (1)

4x + 6y + 4z = 116 ........... (2) and    

3x + 4y + z = 59 ......... (3)

From equation (2) we get

9x + 13.5y + 9z = 261 ....... (4) {Multiplying with  both sides}

solving equations (1) and (4) we get

0.5y = 4

and ⇒ y = 8.

from equation (2) putting the value of y we get,  

4x + 4z = 116 - 48 = 68

⇒x + z = 17 .....(5)

Now, from equation (3) putting y = 8 we get,  

3x + z = 59 - 32 = 27 ....... (6)  

hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x

⇒ 2x = 10

⇒ x = 5  

So, z = 17 - x = 12

therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Answer:

- 1 and 15

Step-by-step explanation:

Substitute x = 2 and x = - 2 into f(x)

f(2) = - 4(2) + 7 = - 8 + 7 = - 1

f(- 2) = - 4(- 2) + 7 = 8 + 7 = 15

Answer:

6cm

Step-by-step explanation:

volume of a cubical wooden block

= 12×12×12

= 1728

volume of cubical pieces

= 1728÷8

= 216

length of edge of piece

= square root of 216

= 6cm

Answer:

This is an percentage question, meaning you have to calculate the percentage rise.

1) Do 147 * 17.9% (Which equals to 26.3 [1.d.p.])

2) 26.3 is the answer

Hope it helps! :D