Find the measure of x. Line PU has points R and S between points P and U, lines QR and ST are parallel, line QR intersects line
2 answers:
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The first thing we must do for this case is to find the equation of the line.
We have then:
We choose an ordered pair:
Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.
We have then:
We choose an ordered pair:
Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.
Answer:
Step-by-step explanation:
Notation
represent the sample mean
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:
(1)
For this case the 9% confidence interval is given by:
We can calculate the mean with the following:
And we can find the margin of error with:
The margin of error for this case is given by:
And we can solve for the standard error:
The critical value for 95% confidence using the normal standard distribution is approximately 1.96 and replacing we got:
Now for the 98% confidence interval the significance is and
the critical value would be 2.326 and then the confidence interval would be:
We have to divide using long division.
__4
4| 19
16
3
The divisor becomes the denominator, the remainder becomes the numerator, and the quotient becomes the whole number.
So we have:
__4
4| 19
16
3
The divisor becomes the denominator, the remainder becomes the numerator, and the quotient becomes the whole number.
So we have: