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Alchen [17]
4 years ago
5

#28 please help i need help on 28

Mathematics
1 answer:
Lina20 [59]4 years ago
6 0

Answer: A

5.64-4.44 = 1.20

6.84-5.64 = 1.20

8.04-6.04 = 1.20

Each additional two hours adds $1.20 to the rental, so a slope of $0.60 per hour.  That's the incremental cost per hour.

Two hours costs $4.44 so zero hours costs 4.44-1.20=$3.24.  That's the y intercept, representing a fixed fee for every rental.


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Every month Amaan spends 60 percent of what he earns and saves the rest Amaan earns n dollars and saves r dollars each month. Ex
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N = .6(savings)r remainder = .4(savings) n/r =.6s/.4sn/r = 1.5n = 1.5r
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Researchers are interested in determining whether more men than women prefer Coca Cola to Pepsi. In a random sample of 300 men,
kobusy [5.1K]

Answer: 0.17 ± 0.096

Step-by-step explanation:

Confidence interval for difference between the population proportion :

p_1-p_2\pm z^*\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}

, where p_1 = sample proportion for population 1.

 p_2 = sample proportion for population 2.

n_1 = Sample size from population 1.

n_2 = Sample size from population 1.

As per given , we have

Population

p_1=0.65\ \ \& \ \ p_2=0.48

n_1=300\ \ \ \&\ \ n_2=400

Critical z-value for 99% confidence level is z*=2.576  [By z-table]

Now , the 99% confidence interval estimate for the difference between the percentages of men and women who prefer Coca Cola over Pepsi :

(0.65-0.48)\pm (2.576)\sqrt{\dfrac{(0.65)(1-0.65)}{300}+\dfrac{(0.48)(1-0.48)}{400}}\\\\= 0.17\pm(2.576)\sqrt{0.0007583+0.000624}\\\\=0.17\pm(2.576)\sqrt{0.0013823}\\\\=0.17\pm(2.576)(0.03718)\\\\=0.17\pm0.09577568\\\\\approx0.17\pm0.096\

Hence, the correct answer is 0.17 ± 0.096.

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7 0
3 years ago
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You plant a spruce tree that grows 4 inches per year and a hemlock tree that grows _____ inches per year. The initial heights ar
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<em>Complete Question:</em>

<em>You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year. </em>

<em>The initial heights are shown. </em>

Write a system of linear equations that represents this situation.

Answer:

s(x) = 8 + 4x

h(x) = 14 + 6x

Step-by-step explanation:

Given

Spruce Tree (s):

Initial\ Height = 8

Growth = 4 (yearly)

Hemlock Tree (h):

Initial\ Height = 14

Growth = 6 (yearly)

Required

Represent as system of linear equations

Let the number of years be x.

In both cases, the equation can be formed using:

Equation = Initial\ Height + Growth * x

For Spruce Tree (s):

s(x) = 8 + 4 * x

s(x) = 8 + 4x

For Hemlock Tree (h):

h(x) = 14 + 6 * x

h(x) = 14 + 6x

<em>Hence, the equations are </em>s(x) = 8 + 4x<em> and </em>h(x) = 14 + 6x<em></em>

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