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Nesterboy [21]
3 years ago
12

Caroline’s two managers, Shawna and Morris, are having a meeting to discuss her performance. To prepare, Morris looks at Carolin

e’s sales over the past four months, and Shawna looks at Caroline’s total records. How is Shawna’s opinion likely to differ from Morris’s?
a.
Morris is likely to see a total growth in sales, while Shawna will probably see a decline in Caroline’s performance.
b.
Morris will only see a rapid drop in performance, while Shawna knows that Caroline is usually a solid salesperson and that her lapses never last long.
c.
Shawna will see a higher median performance from Caroline, while Morris will see a higher mean performance.
d.
Shawna will see that Caroline’s sales tend to increase over time, while Morris will believe that they tend to decrease.
Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
7 0
I believe the answeris B
Nezavi [6.7K]3 years ago
4 0

Answer:

Option B is correct.

Step-by-step explanation:

Given is , Morris looks at Caroline’s sales over the past four months, and Shawna looks at Caroline’s total records. We can say that Morris is only examining the last 4 month performance means he will only be able to tell Caroline's up or down performance. But Shawna is analyzing her past records that can be of several years, so she can better understand Caroline's growth chart.

Hence, option is correct answer.

B - Morris will only see a rapid drop in performance, while Shawna knows that Caroline is usually a solid salesperson and that her lapses never last long.

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mariarad [96]

Answer:

  x = -4, 5/2

Step-by-step explanation:

A quadratic can be solved may ways, including graphing, factoring, and the quadratic formula. You can also check possible answers by making use of the relationships between solutions and the coefficients.

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A graph is attached. It shows the solutions to be -4 and 5/2.

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When factored, the equation becomes ...

  (2x -5)(x +4) = 0 . . . . . has solutions x=-4, x=5/2 (these make the factors zero)

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Using the quadratic formula, the solutions of ax^2 +bx +c = 0 are found from ...

  x = (-b±√(b²-4ac))/(2a)

  x = (-3±√(3²-4(2)(-20))/(2(2)) = (-3±√169)/4 = {-16, +10}/4

  x = {-4, 5/2}

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For ax^2 +bx +c = 0, the solutions must satisfy ...

  product of solutions is c/a = -20/2 = -10

Only the first and last choices have this product.

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Only the first choice (-4, 5/2) has this sum.

8 0
3 years ago
A dolphin swims 665,280 feet in 3 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represent
liraira [26]

Answer:

Answers Below

Step-by-step explanation:

Part A:

r=d/t

Part B:

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r=221760

Part C:

221760/5280 = 42mph

Part D: Miles per Hour, because it is easier to understand

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3 years ago
A piece of paper is to display ~128~ 128 space, 128, space square inches of text. If there are to be one-inch margins on both si
Grace [21]

Answer:

The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

Step-by-step explanation:

We have that:

Area = 128

Let the dimension of the paper be x and y;

Such that:

Length = x

Width = y

So:

Area = x * y

Substitute 128 for Area

128 = x * y

Make x the subject

x = \frac{128}{y}

When 1 inch margin is at top and bottom

The length becomes:

Length = x + 1 + 1

Length = x + 2

When 2 inch margin is at both sides

The width becomes:

Width = y + 2 + 2

Width = y + 4

The New Area (A) is then calculated as:

A = (x + 2) * (y + 4)

Substitute \frac{128}{y} for x

A = (\frac{128}{y} + 2) * (y + 4)

Open Brackets

A = 128 + \frac{512}{y} + 2y + 8

Collect Like Terms

A = \frac{512}{y} + 2y + 8+128

A = \frac{512}{y} + 2y + 136

A= 512y^{-1} + 2y + 136

To calculate the smallest possible value of y, we have to apply calculus.

Different A with respect to y

A' = -512y^{-2} + 2

Set

A' = 0

This gives:

0 = -512y^{-2} + 2

Collect Like Terms

512y^{-2} = 2

Multiply through by y^2

y^2 * 512y^{-2} = 2 * y^2

512 = 2y^2

Divide through by 2

256=y^2

Take square roots of both sides

\sqrt{256=y^2

16=y

y = 16

Recall that:

x = \frac{128}{y}

x = \frac{128}{16}

x = 8

Recall that the new dimensions are:

Length = x + 2

Width = y + 4

So:

Length = 8 + 2

Length = 10

Width = 16 + 4

Width = 20

To double-check;

Differentiate A'

A' = -512y^{-2} + 2

A" = -2 * -512y^{-3}

A" = 1024y^{-3}

A" = \frac{1024}{y^3}

The above value is:

A" = \frac{1024}{y^3} > 0

This means that the calculated values are at minimum.

<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>

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lara31 [8.8K]

Answer:

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a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122

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8 0
3 years ago
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ad-work [718]

Answer:

18 = m

Step-by-step explanation:

2=m/2-7

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2+7=m/2 - 7+7

9 = m/2

Multiply each side by 2

9*2 = m/2 * 2

18 = m

7 0
3 years ago
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