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kramer
3 years ago
12

A manufacturer buys bolts from a supplier. The bolts cost 0.17 cents each, but the manufacturer made a deal with the supplier an

d get 4000 bolts for $595.50. To the nearest cent, how much money does the manufacturer save on 4000 bolts with this deal?
Mathematics
2 answers:
Korolek [52]3 years ago
3 0
845 cents Because 4,000 x 0.17= 680. 680-595.50= 84.05. 84.05 is 845 cents.
BlackZzzverrR [31]3 years ago
3 0
He save exactly 845 cents because 4,000 X 0.17 = 680  680-595.50=84.5 which is equal to 845 cents.
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Galina-37 [17]

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3 years ago
It takes Dave's dogs about 20 days to finish a 50-pound bag bag of dog food. which is the best estimate of number of pounds of d
Fynjy0 [20]
The correct answer is C) 900

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4 years ago
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Nataly_w [17]

The solution to the system of equations are (2, 5).

Solution:

The system of equations are

x + y = 7 – – – – (1)

2x – y = –1 – – – – (2)

To find x from equation (1):

x + y = 7

Subtract y from both sides of the equation, we get

⇒ x + y – y = 7 – y

⇒ x = 7 – y – – – (3)

Substitute (3) in (2) we get,

2(7 – y) – y = –1

14 – 2y – y = –1

14 – 3y = –1

Subtract 14 from both sides,

–3y = –15

Divide by –5 on both sides,

y = 5

Substitute y = 5 in equation (3)

x = 7 – 5

x = 2

The solution to the system of equations are (2, 5).

7 0
3 years ago
What is the formula for a confidence interval?
ikadub [295]

Answer:

a) The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

b) \bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Part a

The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

Part b

The confidence interval for the mean is given by the following formula:  

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

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