Answer:
0.0668
Step-by-step explanation:
Assuming the distribution is normally distributed with a mean of $75,
with a standard deviation of $12.
We can find the z-score of 78 using;
Using our normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332
This is the area corresponding to the probability that, the average is less or equal to 78.
Subtract from 1 to get the complement.
P(x>78)=1-0.9332=0.0668
The <u>correct answer</u> is:
You can map ABC to A'B'C' by translating it 6 units left and reflecting it across the x-axis, which is a series of rigid motions.
Explanation:
In ABC, the coordinates are:
A(1, -3)
B(5, 3)
C(4, -1).
In A'B'C', the coordinates are:
A'(-5, 3)
B'(-1, -3)
C'(-2, 1)
Each point is mapped to its image:
A(1, -3)→A'(-5, 3)
B(5, 3)→B'(-1, -3)
C(4, -1)→C'(-2, 1)
Comparing the x-coordinates in the pre-image and image, we notice that the image has an x-coordinate that is 6 less than that of the pre-image:
1-6 = -5
5-6 = -1
4-6 = -2
This means that the figure must be translated 6 units left; that is the only way to have this change on the pre-image to form the image.
Comparing the y-coordinates of the pre-image with those of the image, we notice that they are negated:
-(-3) = 3
-(3) = -3
-(-1) = 1
This means the pre-image was reflected across the x-axis; this is the only way to negate the y-coordinate and not change the x-coordinate.
These are rigid motions because they do not change the shape or size, they simply move it and change its orientation.
3 repeating digits are there
Answer:
the answer is 30%
Step-by-step explanation:
to figure out Jack's score, set up equation 10 out of total 20,
10/20 . 10/20 is 50%
20 out of 25 is 20 divided by 25 which is 80%
subtract 50 from 80 to get 30
