The following data represent highway fuel consumption in miles per gallon (mpg) for a random sample of 55 models of passenger cars (Source: Environmental Protection Agency). 30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31 For this problem, use five classes. (a) Find the class width. (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Give relative frequencies to 2 decimal places.) Class Limits Midpoint Freqeny Relative |Cumulative (c) Draw a histogram.

Answer:

10/120

Step-by-step explanation:

For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.

Bias is an error due to sampling or testing by selecting or preferring one outcome over others.

Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. This shows that Leo is bias.

For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.

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Answer:

His conclusion is not valid. 

He should have put both tarps over the area of the yard that receives full sunlight. So that the experiment can be valid.

Step-by-step explanation:

Answer:

Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:

7 + 24 + 14 + 1 + 4 = 50

Therefore, there are 50 individuals included in the summary.

Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.

The answer fam is..... 14

-16/99

I believe this is correct, please mark brainliest! Have an amazing day and stay safe!

Answer:

49/2

Step-by-step explanation:

Answer:

49/2 is ur answer hope i helped

Step-by-step explanation:

i think a is the answer but am not sure

Answer:

D) 55.8

Step-by-step explanation:

The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

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Step-by-step explanation:

Just multiply the two dimensions to get m^2  area

7.2 m * 11 m = 79.2 m^2

Answer:

The slope of the line is 2.

Step-by-step explanation:

Slope of a line:

Suppose that we have two points. The slope of the line is given by the change in y divided by the change in x.

In this question:

Points (0,0) and (1,2)

Change in y: 2 - 0 = 2

Change in x: 1 - 0 = 1

Slope: \(m = \frac{2}{1} = 2\)

The slope of the line is 2.

Answer:

\( d = \sqrt{ {x}^{2} + {y}^{2} } \)

Step-by-step explanation:

Distance between origin (0, 0) and point (x, y) is given as:

\(d = \sqrt{ {(x - 0)}^{2} + {(y - 0)}^{2} } \\ \\ \red{ \bold{ d = \sqrt{ {x}^{2} + {y}^{2} } }}\)

The original price of the refrigerator was $400.

The statement "Julio bought a refrigerator on sale for $200 was one-half of the original price" can be translated into an algebraic equation as follows:

1/2x = 200

x represents the original price of the refrigerator.

This equation states that half of the original price is equal to $200 is the sale price that Julio paid.

To solve for x, we can multiply both sides of the equation by 2 gives us:

x = 2 × 200

x = 400

We can check this answer by verifying that half of $400 is indeed equal to $200 was the sale price that Julio paid.

We translated the verbal statement into an algebraic equation and solved for the unknown variable to find that the original price of the refrigerator was $400.

The phrase "Julio bought a refrigerator on sale for $200 was one-half of the original price" may be transformed into the following algebraic equation:

The initial cost of the refrigerator is 1/2x = 200x.

According to this calculation, Julio paid $200 for the item, which is equal to half of the original price.

By multiplying both sides of the equation by 2, we may find the value of x as follows:

x = 2 × 200 x

= 400

By confirming that half of $400 is actually equal to $200, which was the sale price paid by Julio, we can confirm this response.

The spoken statement was converted into an algebraic equation and the unknown variable was solved for in order to determine that the refrigerator's initial cost was $400.

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The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Answer:

(-2, -4)

(-3, 5)

(4, -2)

Step-by-step explanation:

Have a wonderful day! :)

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

Answer:   76.67%

Step-by-step explanation:

Answer:

the time percentage is 17%

Step-by-step explanation:

The computation of the time percenatge in the case when the detector lie and done with the mistake is as follows:

L denotes the event  in which a person is lying.

NL denotes the event in which a person is not lying.

C denotes the event in which that lie detector works correctly

NC denotes the event in which  lie detector is not working correctly

Now

P(C|L) =0.8

And,

P(NC|L) is

=1 - .8

= 0.2

P(C|NL) =0.9

P(NC|NL) is

= 1 -.9

=.1

P(L) = 0.7

P(NL) is

= 1 - .7

= .3

Now

P(NC) =P(NC|L) × P(L) + P(NC|NL) × P(NL)

=. 2 × .7 + .1 ×.3

=. 14+.03

= 0.17

Hence, the time percentage is 17%

Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

Candice grows beets on 66 acres of farmland.

A ratio indicates the number of times one number contains another.

Given that, Candice has 88 acres of farmland and she grows beets on 3/4 of the land.

Candice grows beets on 3/4 of 88 acres of farmland,

3/4 of 88

= 3/4×88

= 66

Hence, Candice grows beets on 66 acres of farmland.

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Grape Juice (cups) 6 8 10 Rainbow Sherbet (cups) 0.75 1 1.25 represents the correct relationship.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The proportional relationship for 6 cups of grape juice for every three-fourths cup of rainbow sherbet.

So, the ratio of grape to rainbow sherbet is 3/4 : 6 = 3 : 24.

Which is (24/3) = 8 times.

Now checking the options Grape Juice (cups) 6 8 10 Rainbow Sherbet (cups) 0.75 1 1.25 is the correct relationship.

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Step-by-step explanation:

From a z-score table

   z-score = 1 corresponds to  .8413   or  84.13 percentile

     meaning 84 .13 % have a lesser score than you

Answer:

y = 0

Step-by-step explanation:

Given (-5, 0) and (0, 0),

Find the slope (m):

\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 0}{0 - (-5)} = \frac{0}{5} = 0 \)

Slope (m) = 0.

Find the y-intercept (b):

y-intercept (b) = 0. This is the value of y, when x = 0.

To write the equation of the line, substitute m = 0, and b = 0 into y = mx + b

y = (0)(x) + 0

y = 0 + 0

y = 0

Answer:

5 hours

Step-by-step explanation:

28x = 60(440-x)

28x = 60*440 - 60x

88x = 60*440

x = 60*440/88

x = 300mi, distance Jon travels

300mi/60mph = 5hrs, the time it took them to meet

CHECKING OUR ANSWER

60MPH*5HR + 28MPH*5HR = 300MI + 140MI = 440MI

Answer:

The volume of the prism is 54 in³.

This can be calculated by multiplying the length by the width by the height.

Which comes out to 9 in x 1 ¹⁄ ³ in x 4 ²⁄ ³ in = 54 in³.

Answer:

x = \(-\frac{133}{3}\), y = \(\frac{157}{15}\)

Step-by-step explanation:

x + 5y = 8

3x = 24 - 157

3x = 24 - 157

3x = -133

x = \(-\frac{133}{3}\)

x + 5y = 8

\(-\frac{133}{3}\) + 5y = 8

5y = \(\frac{157}{3}\)

y = \(\frac{157}{15}\)

Answer:

x = -175

Step-by-step explanation:

Step 1: Define

h(x) = -25

h(x) = 1/5x + 10

Step 2: Substitute and Evaluate

-25 = 1/5x + 10

-35 = 1/5x

x = -175