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3 years ago

What is the greatest common factor GCF GCF of 12 and 18

Mathematics

2 answers:

igor_vitrenko [27]3 years ago

6 0

Answer:

GCF = 6

Step-by-step explanation:

ser-zykov [4K]3 years ago

5 0

GCF of 12,18 = 6

LCM of 12,18 = 36

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Find the slope of the line

Serhud [2]

Answer:

Slope is undefined.

Step-by-step explanation:

Slope of 0 is a horizontal line.

Slope of undefined is a vertical line.

Any other slope is something in between.

7 0

3 years ago

Read 2 more answers

Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and K(6, 10).

elena-14-01-66 [18.8K]

Midpoint formula

for
(x1,y1) and (x2,y2)
the point is
((x1+x2)/2,(y1+y2)/2)

(8,2)
(6,10)
point is
((8+6)/2,(2+10)/2)
(14/2,12/2)
(7,6)
midpoint is (7,6)

8 0

3 years ago

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A car rents for $35 per day plus 18cents¢ per mile. you are on a daily budget of $71. what mileage will allow you to stay with

Butoxors [25]

200 miles
$71-$35=$36 left in budget
$36/.18 per mile= 200 miles

6 0

3 years ago

Angie wants to hang a family portrait in her living room. The portrait is 8 inches ×10 inches. Angie puts the picture in a frame

kipiarov [429]

I think it would be 10x12. Because ur basically adding 2 inches to the width. And two inches to the length cuz of the 4 sides of the frame. So in the end the area would be 120 inches squared

8 0

3 years ago

The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by World One Research, included the question, "H

LenaWriter [7]

Answer:

A 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

Step-by-step explanation:

We are given that x is normally distributed with a known standard deviation of 12.6.

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average mean response = 9 hours

$\sigma$ = population standard deviation = 12.6

n = sample of legal professionals = 250

$\mu$ = mean number of hours a legal professional works

Here for constructing a 95% confidence interval we have used One-sample z-test statistics as we know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level

of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ]

= [ $9-1.96 \times {\frac{12.6}{\sqrt{250} } }$ , $9+1.96 \times {\frac{12.6}{\sqrt{250} } }$ ]

= [7.44 hours, 10.56 hours]

Therefore, a 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

5 0

2 years ago