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kumpel [21]
3 years ago
15

This is graphing linear equations. I'm very confused on the m part

Mathematics
1 answer:
Leona [35]3 years ago
3 0
In the slope intercept form equation, y =mx+b, m is the slope, or the coefficient of x.
Therefore, the slope, or m, in this situation is -2/3.
Hope this helps!
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A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a s
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For this case the  95% confidence interval is given (63.5 , 74.4) and we want to conclude about the result. For this case we can say that the true mean of heights for male students would be between 63.5 and 74.4. And the best answer would be:

b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

Step-by-step explanation:

Notation

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=40-1=39

For this case the  95% confidence interval is given (63.5 , 74.4) and we want to conclude about the result. For this case we can say that the true mean of heights for male students would be between 63.5 and 74.4. And the best answer would be:

b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

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4 years ago
The weight of an object on the moon is 1/6 its weight on earth. If a bowling ball weighs 12 and 1/2 pounds on earth, how much do
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3 0
3 years ago
The greater of two numbers is 1 more than twice the smaller. Three times the greater exceeds 5 times the smaller by 10. Find the
earnstyle [38]
X<y
y is 1 more than 2 times the smaler
y=1+2 times x
y=1+2x

3 times y is bigger than 5 times x by 10
3y=5x+10
subsitute
y=1+2x
3(1+2x)=5x+10
3+6x=5x+10
subtract 3 from both sides
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subtract 5x from both sides
x=7
subsitute
y=1+2x
y=1+2(7)
y=1+14
y=15

x=7
y=15

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4 years ago
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