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lidiya [134]
3 years ago
12

A college statistics class conducted a survey of how students spend their money. They asked 25 students to estimate how much mon

ey they typically spend each week on fast food. They determined that the mean amount spent on fast food each week is $31.52 and the median is $32. Later they realized that a value entered as $2 should have been $20. They recalculate the mean and the median. Which of the following is true? Group of answer choices
a. The mean and median will increase.
b. The mean will increase, but the median will remain the same.
c. The mean will stay the same, but the median will increase.
d. Both the mean and median will remain the same.
Mathematics
1 answer:
anastassius [24]3 years ago
7 0

Answer:

Option B, The mean will increase, but the median will remain the same.

Step-by-step explanation:

Given

Mean value is  31.52 dollars

Median Value is 32 dollar.

Mean is the average of all the units in a given set of data. Change in any of the number will change the mean.

Here the mean is 31.25

Total money would be 31.25 * 25 = 781.25\\

A number is changed from 2 to 20 , i.e addition of 18 dollars

the new mean would be 781.25 + 18/25 = 31.97

However, the median value is the value of the unit at the center of the arrangement. Hence, it will not change.

Option B is correct

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What’s the answer for this one??
KIM [24]

Answer:

It is the second one.

Step-by-step explanation:

a and e are equal because they are mirrored. d and b are equal because they are on the same  line and at the same point where the parallel lines go through. b and f are also mirrored. That leaves c and e which don't match.

6 0
3 years ago
The diagram shows a scale drawing of a lacrosse field. The diagram is 5 1/2 inches long and 3 inches wide. If 1 inch represents
Elan Coil [88]

Answer:

  6600 yd²

Step-by-step explanation:

The area of the scale drawing is ...

  (5.5 in)(3 in) = 16.5 in²

Each square inch represents an area of the field that is ...

  (20 yd)×(20 yd) = 400 yd² . . . . per square inch of drawing

Then the scale drawing represents a field with an area of ...

  (16.5 in²)×(400 yd²/in²) = 6600 yd²

4 0
3 years ago
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
PLZ!!!! HELP ASAP!!! Problem is in the picture
Strike441 [17]

Step-by-step explanation:

pythagoras theorem: c²=a²+b²

Where c= longest side of a right angle triangle

AB= 6+r = c

AD= 12 =a

CD= r =b

(6+r)² = 12²+ r²

36+12r+r² =144 +r²

12r+r²-r²=144-36

12r=108

r= 108/12

r=9

5 0
3 years ago
Eghit feet less than twice the width translate the exxpression from verbal to algabraic
MAVERICK [17]

Answer:

8-2x

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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