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2 years ago

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A small accounting firm has 4 accountants who each earn a different salary between 50,000 and 60,000 and a 5th accountant who wo

rks part-time for tax season and earns 10,000
The firm decides to get rid of the part-time accountant and keep the other 4 salaries the same

How will getting rid of the part-time accountant affect the mean and median

1 answer:

Nimfa-mama [501]2 years ago

4 0

Answer: B

Step-by-step explanation:

Both the mean and the median will decrease, but the mean will decrease by more than the median.

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Boden is making a prize wheel for the school fair. The ratio of winning spaces to losing spaces is shown in the diagram. The tab

IceJOKER [234]

The correct answers are Losing 12; Winning 15

Explanation:

The ratio of winning to losing is 5: 6 or 5/6. This means for every 5 winning spaces in the wheel there are 6 losing spaces. This ration should be used to complete the values of the table.

1. The first row shows there are 10 winning and you need to calculate the number of losing spaces. The process is shown below.

$\frac{5}{6} = \frac{10}{x}$ - Express the ratios using fractions; use x to show the missing value

$5x = 60$ - Cross multiply to find the value of x

$x = 60 / 5$ - Solve the equation to find x

$x = 12$ - The number of losing is 12 if there are 10 winning spaces

2. The second row shows there are 18 losing spaces, and you need to calculate the number of winning spaces. Repeat the process.

$\frac{5}{6} = \frac{x}{18}$

$6x = 90$

$x = 90 / 6$

$x =15$ - The number of winning spaces is 15 if there are 18 losing spaces

6 0

2 years ago

Read 2 more answers

1) If B is between A and C, AB=10 and AC=28, what is the value of BC?

Shalnov [3]

One

AB + BC = 28

AB = 10

10 + BC = 28

BC = 28 - 10

BC = 18

Two

AB + BC = AC

AB = 6x

BC = 8x

6x + 8x = 42

14x = 42

x = 42/14 = 3

Three

AB = 2x - 1

BC = 3x + 5

AB + BC = 24

2x - 1 + 3x + 5 = 24

5x + 4 = 24

5x = 24 - 4

5x = 20

x = 20/5

x = 4

AB = 2x - 1

AB = 2*4 - 1

AB = 7

3 0

2 years ago

Can anyone help me with this?

Maurinko [17]

Answer:

D. -6m²n² + 10m²n + 8mn² - 10mn

Step-by-step explanation:

(-7mn + 8mn² - 8m²n²) + (10m²n + 2m²n² - 3mn)

Apply the distributive property to remove the parentheses

-7mn + 8mn² - 8m²n² + 10m²n + 2m²n² - 3mn

Combine like terms together and arrange in standard form

-7mn + 8mn² - 8m²n² + 10m²n + 2m²n² - 3mn

-8m²n² + 2m²n² + 10m²n + 8mn² - 7mn - 3mn

-6m²n² + 10m²n + 8mn² - 10mn

5 0

2 years ago

If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal

Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that $2x^2+y^2=17$

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

$4x+2yy'=0$

$2x+yy'=0$

$yy'=-2x$

$y'=-\frac{2x}{y}$

Again differentiate w.r.t.x

Then , we get

$2+(y')^2+yy''=0$ $(u\cdot v)'=u'v+v'u)$

$2+(y')^2+yy''=0$

Using value of y'

$yy''=-2-(-\frac{2x}{y})^2$

$y''=-\frac{2+(-\frac{2x}{y})^2}{y}$

Substitute x=2 and y=3

Then, we get $y''=-\frac{2+(\frac{4}{3})^2}{3}$

$y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}$

Hence,y''=-1.26

6 0

2 years ago

Ariel left her home at 9 a.m., driving at 45 mph. At 11 a.m. her brother left the home and started after her at 60 mph. At what

Nana76 [90]

Answer:

Her brother catch her at 11 am + 4hour = 15 p.m

Step-by-step explanation:

Given as ;

Speed of Ariel = 45 mph

She left home at 9 a.m

Her brother speed = 60 mph

Her brother left home at 11 a.m

Now from question So As Ariel speed is 45 mph so, after two hours pass , she ahead 90 m .

As her brother travel as 60 mph ,so he travel at ( 60 - 45 )= 15 mph faster

So, with this speed her brother will catch up her at $\frac{90}{15}$ = after 4 hour .

Hence her brother catch her at 11 am + 4hour = 15 p.m Answer

4 0

2 years ago

Read 2 more answers