Hi there!

We can begin by finding ∠VUY so we can solve for ∠UVY.
∠VUY is supplementary to ∠TUY, so:
180 = 144 + ∠VUY
∠VUY = 36°
In a triangle, angles sum up to 180°, so:
180 = 36° + 79° + m∠UVY
m∠UVY = 65°
Solve for m∠VYZ by comparing the angle to m∠UVY because the angles are alternating interior angles. Thus:
m∠UVY = m∠VYZ = 65°.
Answer:
D. The distance from the mean to an inflection point
Step-by-step explanation:
We rarely encounter the actual formula for the normal PDF. It is ...

In fact, the inflection points are at x = ±1, where the curve changes from being concave downward to concave upward.
So, one standard deviation is the distance from the mean to an inflection point.
<span>You are given a
scale down of the original painting into 1/5.
The ship in the original painting is 14 inches. You are required to
estimate the size of the ship in Akio’s drawing. All you need to do is to
multiply 1/5 by 14.</span>
(1/5) (14 inches)
= 2.8 inches
<span>Therefore, the
scale down of the ship from the original painting is 2.8 inches. </span>
Answer:
15 gallons
Step-by-step explanation:
Given that:
Pumping rate is modeled by the equation :
Q(t)=45-t gallons per minute ; where t is in minutes
Number of gallons in tank after 30 minutes ;
Q(t)=45-t
Q(30) = 45 - 30
Q(30) = 15
Hence, Number of gallons in tank after 30 minutes is 15 gallons
9514 1404 393
Answer:
2) (b) -7
3) (b) 14
Step-by-step explanation:
2) The sum is found by adding the numbers together. Your calculator can help if you can't do it in your head. I usually find it easier to add the positive and negative numbers separately. Of course the 0 can be ignored.
18 + 0 -4 -12 +6 -15 = (18 +6) -(4 +12 +15) = 24 -31 = -7
__
3) Apparently, we are to assume that George's percentage will apply to the next 40 pitches. Then ...
(number missed)/(number thrown) = 35%
missed = (thrown)×0.35 = 40×0.35 = 14
George is expected to miss 14 of the 40 pitches.