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vesna_86 [32]
3 years ago
12

Private colleges and university rely on money contributed

Mathematics
1 answer:
Otrada [13]3 years ago
3 0

Answer:

The point estimate for the mean endowment of all private colleges in the United States is 180.2125 million dollars.

Step-by-step explanation:

We are given endowments (in millions of dollars) of eight private colleges in the United States:

78.8, 50.3, 243.2,  489, 111.5, 163.7, 92.4, 212.8

We have to find the point estimate of the population mean endowment of all private colleges in the  United States.

The point estimate will be given by the sample mean.

\mu = \bar{x}

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1441.7}{8} = 180.2125

Thus, the point estimate is 180.2125 million dollars.

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Ostrovityanka [42]
◆ Straight Lines ◆

Heya !

1) \: line \: is \: passing \: through \:points \: (5,7) \: and \: (6,8) \\ \\ slope \: of \: line \: = \frac{(y2 - y1)}{(x2 - x1)} \\ \\ slope \: = \: \frac{(8 - 7)}{(6 - 5)} = \: 1 \\ \\ equation \: of \: line \: = \: (y - y1) \: = m (x - x1) \\ \\ equation \: of \: line \: =( y - 7) = 1(x - 5) \\ \\ equation \: of \: line \: - \\ x - y + 2 = 0 \: ans. \\ \\ \\ 2) \: line \: is \: passing \: through \: ( - 3,6) \: and \: ( 3, - 6) \\ \\ slope \: of \: line \: = \frac{(y2 - y1)}{(x2 - x1)} \\ \\ slope \: of \: line \: = \frac{( - 6 - 6)}{(3 - ( - 3))} = - 2 \\ \\ equation \: of \: line = (y - y1) = m(x - x1) \\ \\ equation \: of \: line \: = (y - 6) = - 2(x + 3) \\ \\ equation \: of \: line \: - \\ 2x + y = 0 \: ans. \\ \\ hope \: it \: helps \: you :)

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8 0
3 years ago
Suppose you are a salesperson for Quark Computer Company. Each month you earn $500 plus one sixth of your sales. What amount mus
Yuliya22 [10]

Answer:

sales equal $15,000

Step-by-step explanation:

x = amount of sales

f(x) = 500 + 1/6x

3000 = 500 = x/6

2500 = x/6

x = 15,000

5 0
3 years ago
1/a+1/b=1/x solve for x
VashaNatasha [74]

Answer:

x = \frac{ab}{b+a}

Step-by-step explanation:

Given

\frac{1}{a} + \frac{1}{b} = \frac{1}{x} ( express the sum on the left as a single fraction )

\frac{b+a}{ab} = \frac{1}{x} ( cross- multiply )

x(b + a) = ab ← divide both sides by (b + a)

x = \frac{ab}{b+a}

6 0
4 years ago
Write an equation of the line that passes through (2, -5) and is parallel to the line 2y = 3x + 10
Zarrin [17]

First you get "y" by itself. To do so you divide 2 on both sides.

y = 3/2x + 5

To write an equation of a line that is PARALLEL to this equation, the slopes have to be the SAME. So the slope is 3/2.

You then use the equation:

y = mx + b

SInce you know "m" you plug it in.

y = 3/2x + b

Now you need to find b. To do so you plug in the point (2, -5) into this equation.

-5 = 3/2(2) + b

-5 = 3 + b

-8 = b

Finally you plug in b and you get your new equation.

y = 3/2x - 8

8 0
3 years ago
Sugar Shack Cookies had 5 types of cookies in its display case. The number of each cookie sold during day one is recorded. Find
Troyanec [42]

Answer: 40%

Step-by-step explanation:

Chocolate chip and oatmeal cookies: 9+35 = 44

Total cookies = 9+21+15+35+30 = 110

What percent is 44 of 110 (%/100 = is/of)

x/100 = 44/110 (cross multiplication)

4400/110 = 40

6 0
3 years ago
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