Answer:
m = rise / run = 1/7
Step-by-step explanation:
Recall that the slope of a line is m = rise / run.
Here we look at x first (to calculate the run): x begins at -7 and ends at 0. Thus, the run is 0 - (-7), or 7.
Now look at how y behaves (find the rise): y begins at 0 and ends at 1. Thus, the rise is 1.
Therefore the slope of the line connecting the two poings given is
m = rise / run = 1/7
Answer:
Null Hypothesis,
: p
85%
Alternate Hypothesis,
: p > 85%
Step-by-step explanation:
We are given that it's been found that 85% of American adults suffer from triskaidekaphobia (fear of the number 13).
A USA Today/Gallup poll asked 1,006 randomly selected people 18 years old and older in telephone interviews "Suppose you checked into a hotel and were given a room on the thirteenth floor. Would this bother you or not?" 87% of the survey respondents answered they would be bothered.
Let p = <u><em>proportion of respondents who would be bothered about given a room on the thirteenth floor</em></u>
SO, Null Hypothesis,
: p
85%
Alternate Hypothesis,
: p > 85%
Here, <u>null hypothesis states that</u> the proportion of respondents who would be bothered about given a room on the thirteenth floor is less than or equal to 85%.
On the other hand, <u>alternate hypothesis states that</u> the proportion of respondents who would be bothered about given a room on the thirteenth floor is more than 85%.
Hence, this would be the correct null and alternative hypothesis.
Answer:

Step-by-step explanation:
Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.
Since they give you two points
and
for the line, use them to find the slope of the line that goes through them, with the formula: 
Therefore, the slope of the line must be 
Now, find the y-intercept (b) using the general form of a line with the given slope:

Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):

then the y-intercept must be 5. Therefore our line is :
which appears listed as your second choice.
<span>cos 4x + cos 2x = 2 - 2 sin^2 2x - 2 sin^2 x
cos 4x + cos 2x = 1 + 1 − 2sin^2(2x) − 2sin^2(x)
cos 4x + cos 2x = (1 - 2sin^2(2x)) + (1 - 2 sin^2(x)
cos 4x + cos 2x = cos 4x + cos 2x</span>
Answer:
a. direct
Step-by-step explanation:
direct variation is y = kx and y = -2/5x is written in direct variation.