A B C but not sure if it’s D or E
Answer:
A = 125º
Step-by-step explanation:
Missing angle is the supplement of 157.5
180 - 157.5 = 22.5
----------------------------
Sum of angles in triangle is 180
22.5 + (-10x) + (-x + 20) = 180
Combine like terms
-11x + 42.5 = 180
Subtract 42.5 from both sides
-11x = 137.5
Divide both sides by -11
x = -12.5
---------------------------
A = -10(-12.5)
A = 125º
Answer: A
Step-by-step explanation:
In this question, you can disregard the initial $13.90 cost because we're only looking for an INCREASE in price. If the Johnson family used 200 cubic feet MORE of water, we need to multiply 2 * 1.45 which gets us 2.90. We multiply 2 by 1.45 because 200 represented in x is 2, since x is represented in hundreds.
Answer:
<em>Q'</em> = (-4, -2)
<em>R' </em>= (4, -2)
<em>S'</em> = (4, 2)
<em>T'</em> = (-4, 2)
Step-by-step explanation:
First, we can create a matrix to scale this rectangle by putting all the x coordinates in the top row and all the y coordinates in the bottom row and multiply it by 4.
Our initial matrix to multiply:
![4\left[\begin{array}{cccc}-1&1&1&-1\\-2&-2&-1&-1\end{array}\right]](https://tex.z-dn.net/?f=4%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-1%261%261%26-1%5C%5C-2%26-2%26-1%26-1%5Cend%7Barray%7D%5Cright%5D)
Moved to the origin:
![4\left[\begin{array}{cccc}-1&1&1&-1\\-0.5&-0.5&0.5&0.5\end{array}\right]](https://tex.z-dn.net/?f=4%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-1%261%261%26-1%5C%5C-0.5%26-0.5%260.5%260.5%5Cend%7Barray%7D%5Cright%5D)
Multiplied by four:
![\left[\begin{array}{cccc}-4&4&4&-4\\-2&-2&2&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-4%264%264%26-4%5C%5C-2%26-2%262%262%5Cend%7Barray%7D%5Cright%5D)
This gives us the points of
<em>Q'</em> = (-4, -2)
<em>R' </em>= (4, -2)
<em>S'</em> = (4, 2)
<em>T'</em> = (-4, 2)
which are our answers.
Answer:
The correct option is;
E. She will not be able to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender
Step-by-step explanation:
The question states that Aaliyah randomly selects the following;
First sample
Sample gender = Males
Sample size = 35
Age bracket of sample = 20 to 30 years
Second sample
Sample gender = Females
Sample size = 45
Age bracket of sample = 45 to 55 years
The plan is to determine how age and gender are related to movie genre preference
Appropriate sample distribution to determine movie genre preference is as follows;
Gender = Male
Age bracket = 20 to 55 years
Gender = Female
Age bracket = 20 to 55 years
Therefore, since the samples selected do not cut across the population of the by age and gender of movie genre preference, she will not be able to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender.
