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Degger [83]
2 years ago
9

The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Time.c

om). The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars.
Private Colleges
53.8 42.2 44.0 34.3 44.0
31.6 45.8 38.8 50.5 42.0
Public Colleges
20.3 22.0 28.2 15.6 24.1 28.5
22.8 25.8 18.5 25.6 14.4 21.8
(a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges. (Round the standard deviation to two decimal places.)
(b) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges. (Round the standard deviation to two decimal places.)
(c) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private − Public.)
We estimate that the mean annual cost to attend private colleges is $ more than the mean annual cost to attend public college
(d) Develop a 95% confidence interval (in thousand dollars) of the difference between the mean annual cost of attending private and public colleges. (Use Private − Public. Round your answers to one decimal place.)
Mathematics
1 answer:
Delvig [45]2 years ago
4 0
Gggbztm hm finch nvm ykbtk I invincible
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For the functions f(x) = 2x + 2 and g(x) = 7x + 1, which composition produces the greatest output? a) Both compositions produce
Usimov [2.4K]
So subsitue and try so
f(g(x))=2(7x+1)+2
g(f(x))=7(2x+2)+1

multiply them out
f(g(x))=2(7x+1)+2=14x+2+2=14x+4
g(f(x))=7(2x+2)+1=14x+14+1=14x+15
14x+15>14x+4
therefor
g(f(x))>f(g(x))

the answer is D g(f(x)) produces the greatest output
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2 years ago
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Simplify expressions
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<h3>a) \frac{2}{5}  \div (  - \frac{3}{4} )</h3><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>

<h2>-  \frac{2}{5}  \div  \frac{3}{4}</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2>-  \frac{2}{5}  \times  \frac{4}{3}</h2><h3>■Multiply the fractions</h3>

<h2>-  \frac{8}{15}</h2>

<h3>Hence, Quotient =-  \frac{8}{15}</h3>

<h3>b) 0.4 \div  ( - 0.75)</h3><h3>■Convert the decimals into a fractions</h3>

<h2>\frac{2}{5}  \div ( -  \frac{3}{4} )</h2><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>

<h2>-  \frac{2}{5}  \div  \frac{3}{4}</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2>-  \frac{2}{5}  \times  \frac{4}{3}</h2><h3>■Multiply the fractions</h3>

<h2>-  \frac{8}{15}</h2><h3>Hence, Quotient is -  \frac{8}{15}</h3>

<h3>c)-  \frac{2}{5}  \div  \frac{3}{4}</h3><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2>-  \frac{2}{5}  \times  \frac{4}{3}</h2><h3>■Multiply the fractions</h3>

<h2>-  \frac{8}{15}</h2><h3>Hence, The Quotient is -  \frac{8}{15}</h3>
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2 years ago
Which number line model represents the expression-1 1/2 + 1 1/2
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Answer:

I can't see the other answers, but find the one that goes to 3. It will look like C, but only arrows going up.

Step-by-step explanation:

1 + 1 = 2

1/2 + 1/2 = 1

2 + 1 = 3

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What is the solution for this inequality? -10x ≤ 40 A. x ≤ -4 B. x ≤ 4 C. x ≥ -4 D. x ≥ 4
inessss [21]

Answer:

C. x ≥ -4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

-10x ≤ 40

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Division Property of Equality] Divide -10 on both sides:                               x ≥ -4
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torisob [31]
Based on the graph, point O is the center of the circle. 
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The correct statement for this problem is:

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