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Thepotemich [5.8K]
3 years ago
10

Bentley is deciding between two landscaping companies for his place of business company A charges $40 per hour and $175 equipmen

t fee company B charges $50 per hour and a $125 equipment fee let A represent the amount company b would be
Mathematics
1 answer:
maksim [4K]3 years ago
8 0

Answer:

A = 40x + 175

B  = 50x + 125

5 hours

Step-by-step explanation:

The equations are as follows:

According to the question

Let us assume the number of hours be x

For company A

40x + 175

For company B

50x + 125

Now equate these two equations

40x + 175 = 50x + 125

175 - 125 = 10x

x = 5

Hence, the number of hours is 5

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Add your two totals together,
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4 0
4 years ago
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A researcher takes a simple random sample of 83 homes in a city and finds that the mean square footage is 1628 with a standard d
Anna [14]

Answer: (1583.63, 1672.37)

Step-by-step explanation:

Given : Sample size : n= 83

Sample mean : \overline{x}=1628

Sample standard deviation : \sigma=243

The population standard deviation(\sigma) is unknown .

The confidence interval for population mean :

\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}

For 90% confidence , significance level =\alpha=1-0.90=0.10

Using t-distribution table , Critical t-value = t_{(\alpha/2, n-1)}=t_{0.05,82}=1.6636

, where n-1 is the degree of freedom.

Now ,  90% confidence interval for the mean square footage of all the homes in that city will be :-

1628\pm (1.6636)\dfrac{243}{\sqrt{83}}\\\\ 1628\pm (1.6636)(26.672715)\\\\\\\\\approx1628\pm 44.37\\\\=(1628- 44.37,\ 1628+ 44.37)\\\\=(1583.63,\ 1672.37)

Hence, the 90% confidence interval for the mean square footage of all the homes in that city = (1583.63, 1672.37)

7 0
3 years ago
You earned 34,000 and your total tax due was 6,200 what was your average tax rate
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5 0
4 years ago
This exercise involves the formula for the area of a circular sector. find the area of a sector with central angle 3π/5 rad in a
netineya [11]
The formula of interest is
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8 0
3 years ago
Write these numbers in size order start with the smallest
professor190 [17]
First convert all to decimal.

7/9 = 0.777
8/11 = 0.727
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Final answer:
8/11, 7/9, 0.79, 4/5, 84%
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3 years ago
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