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lbvjy [14]
3 years ago
11

A painter uses the expression 35h + 30c to determine how much he charges a customer for a job that takes h hours and c cans of p

aint. His last job required 3 cans of paint and took 15 hours to complete. How much did the painter charge? a) $540 b) $555 c) $615 d) $638
Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer:

c) $615

Step-by-step explanation:

The expression used to determine how much is the charge for the customer after the job is

p=35h+30c

where

h is the number of hours the job took

c is the number of cans of paint used during the job

In this problem:

c = 3 (the painter used 3 cans of paint)

h = 15 (the painter took 15 hours for the job)

So substituting these values into the equation for p, we find the total value that the painter charged for the job:

p=35\cdot 15 + 30 \cdot 3 =615

So, the correct answer is

c) $615

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8 0
3 years ago
Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A ferret wei
fredd [130]

Answer:

m = 12.33

Step-by-step explanation:

Given

Ferret:

Weight = 2.1lb

Cost = \$3.40

Labrador Retriever

Weight = 70lb

Cost = \$7.50

Required

Determine the slope

Represent the given as x or y

Taking the weight as explanatory variable;

We have:

x = 2.1; y = 3.4

x = 7.5; y = 70

Slope is calculated as:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{70 - 3.4}{7.5 -2.1}

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<em>Hence, the slope is 12.33</em>

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4 years ago
Which of the following terms appear in the expansion of (x + y)10? The letter a in each term represents a real constant.
Neporo4naja [7]
The answer is <span>D. ax4y6
proof 

the binome of newton is   S a x^k y^n-k = (x+y)^n, for k=0...n
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<span>
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3 years ago
Experts have predicted that approximately 1 in 12 tractor-trailer units will be involved in an accident this year. One reason fo
Yuliya22 [10]

Answer:

1. 564 tractor trailers

2. (0.2919, 0.4339)

3. It should be noted that there is 90% confidence that the true population proportion lies between 0.2919 and 0.4339.

Step-by-step explanation:

1)

Proportion= P = 0.8333333333333 (1/12)

Margin error= 0.06/2 = 0.03

Confidence level= 99

Significance level = α= (100 - 99)%= 1%= 0.01

α/2 = 0.01/2 = 0.0005

Sample size= n

= p(1 - p) (Z*/E)

=0.8333333333333 x (2.576/0.03)^2

=563.15

Approximately

=564

2) Sample size n= 124

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=45/124

= 0.3629

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= 0.0432

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The answer is (0.2919, 0.4339)

3) It should be noted that there is 90% confidence that the true population proportion lies between 0.2919 and 0.4339.

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4 years ago
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