Answer:An increase in visitors is correlated with an increase in sales.
Step-by-step explanation:
From the given scatter plot we can see that variables are positively correlated because they are moving in the same direction.
Since we know that the positive correlation is a relationship between two variables such that they increase or decrease together.
Since, the two variables given her is " number of visitors" and "Total sales"
Therefore, based on the given data it can be observed that "An increase in visitors is correlated with an increase in sales."
Answer:
House cats sleep a greater fraction of the day than people.
Step-by-step explanation:
We are given the following in the question:
Average time a house cat sleeps =

Average time people sleeps =

Comparison:

Thus, house cats sleep a greater fraction of the day than people.
Combine the fractions on the left side:
9/(x + 2) + 2/(x - 2) = 1
9 (x - 2) / ((x + 2) (x - 2)) + 2 (x + 2) / ((x + 2) (x - 2)) = 1
(9x - 18) / ((x + 2) (x - 2)) + (2x + 4) / ((x + 2) (x - 2)) = 1
(9x - 18 + 2x + 4) / ((x + 2) (x - 2)) = 1
(11x - 14) / ((x + 2) (x - 2)) = 1
Recall the difference of squares identity,
a² - b² = (a + b) (a - b)
which lets us simplify the denominator on the left side as
(11x - 14) / (x² - 4) = 1
For any real numbers a and b, if a/b = 1, then a = b. This means
11x - 14 = x² - 4
which we can rearrange as
x² - 11x + 10 = 0
Factorize the left side:
(x - 10) (x - 1) = 0
Then
x - 10 = 0 or x - 1 = 0
x = 10 or x = 1
Answer:
Step-by-step explanation:
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Answer:

Step-by-step explanation:
Incomplete question:
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<em>See attachment for complete question</em>
Required
Determine the equation to find x
First, is to complete the angles of the triangle (ABC and ACB)
--- angle on a straight line

Collect like terms


--- angles in a triangle

Collect like terms


Apply sine rule

In this case:

This gives:
