Answer: The minimum score would be 83.08.
Step-by-step explanation:
Since we have given that
Mean = 70
Standard deviation = 12
Top 14% of the class received an A on last test.
So, right tail of (100-14=86%) = 1.09
So, the minimum score required to get an A is given by
Hence, the minimum score would be 83.08.
Your answer is - 120?
Hopeful it helps
I'd suggest you look up "deciliter." If you do, it should be obvious whether 3.78 liters is greater than or less than 3.78 liters.
What if the question involved "ft?" Which would be larger, 1 foot or 1 inch?
Answer:
XZ > XY > YZ
Step-by-step explanation:
1. Approach
To solve this problem, one must find the value of (x), then the measure of every angle in the triangle. Remember, the sum of all angles in a triangle is equal to 180 degrees. Another property of a triangle is that the largest side of a triangle will be opposite the largest angle of the triangle, conversely, the smallest side of a triangle will be opposite the smallest angle in the triangle.
2. Find the value of (x)
The sum of all angles in a triangle is equal to 180 degrees. Using this theorem, one can state,
m<X + m<Y + m<Z = 180
Substitute,
(50) + (5x + 10) + (5x) = 180
Simplify,
10x + 60 = 180
Inverse operations,
10x + 60 = 180
-60 -60
10x = 120
/10 /10
x = 12
3. Find the measure of each angle
Now substitute the value of (x) into the expressions given to represent the value of each angle.
m<X = 50
m<Y = 5x + 10 = 5(12) + 10 = 60 + 10 = 70
m<Z = 5x = 5(12) = 60
4. Now apply this to find the comparative lengths of the sides
One property of a triangle is that the side opposite the largest angle in the triangle is the largest side. Moreover, the side opposite the smallest angle in a triangle is the smallest side. In this problem, it is impossible to find the exact lengths of the sides of the triangle, but one can find out which side is larger or smaller than the other side.
m<Y = 70
m<Z = 60
m< X = 50
<u>m<Y</u> > <u>m<Z</u> > <u>m<X</u>
Side XZ is opposite m<Y
Side XY is opposite m<Z
Side YZ is opposite m<X
This means,
XZ > XY > YZ
Answer:
Congruent
Vertical
Step-by-step explanation:
E and G are vertical angles and vertical angles are equal
They are congruent because they are vertical