<u>Given:</u>
A triangular piece is cut out of a rectangular piece of paper to make the class banner.
<u>To find:</u>
The area of the class banner.
<u>Solution:</u>
The rectangular piece of paper is 14 inches long and 
inches wide.
From the given diagram, the triangle has a base length of the same 8 inches and has a height of 
inches long.
To determine the area of the banner, we subtract the area of the triangle from the area of the rectangle.
The area of a triangle 
The area of the triangle 
square inches.
The area of a rectangle 
The area of the rectangle 
square inches.
The area of the class banner 
square inches.
So the banner has an area of 100 square inches which is the first option.
Answer:
Step-by-step explanation:
Since the two triangles are similar;
This implies that;
Multiply both sides by 18
Answer:
The sampling distribution of x is N(118, 2.5).
Step-by-step explanation:
We have that:
The mean of the population is 
The standard deviation of the population is 
.
(a) Choose an SRS of 100 men from this population. What is the sampling distribution of x? (Use the units of mg/dL.)
The mean of the sampling distribution is the same as the mean of the population.
The standard deviation of the sampling distribution is the standard deviation of the population divided by the square root of the sample size. So
This means that the sampling distribution of x is N(118, 2.5).
Answer:
(0, 6)
Step-by-step explanation:
Point T has a coordinate pair of (3, 4). That is, at point T, x = 3, while y = 4.
3 points to the left of T would be a movement on the x-axis. This movement is a run across the x-axis. At T, x = 3. Therefore, 3 points to the left would be a decrease by 3 = 3 - 3 = 0.
3 points to the left of T would leave us with an x coordinate of 0.
2 points above T suggest a rise, which is on the y-axis.
Therefore, at T, y = 4. 2 points above 4 = 4 + 2 = 6. y coordinate would now be 6.
In conclusion, the ordered pair representing 3 points to the left, and 2 points above point T is (0, 6).
