Answer:
49.5 mi
Step-by-step explanation:
Area of a triangle is A = (height) X (base) / 2
So if you plug in the numbers you get:
806.9 = (32.6) X (base) / 2
1613.8 = (32.6) X (base)
1613.8 / 32.6 = base
base = 49.5 mi
Answer:
D.) The expected value is 1.78
Step-by-step explanation:
The expected value of a probability distribution is evaluated using the formula.
Expected Value, 
Therefore, from the given probability distribution, we have:
E(X)=(0*0.3)+(1*0.2)+(2*0.16)+(3*0.2)+(4*0.04)+(5*0.1)
E(X)=1.78
The Expected value of X is 1.78.
The correct option is D.
<span>2x - 3(-4x + 2 )
2x+12x-6
14x-6
2(7x-3)</span>
Answer:
8
Step-by-step explanation:
Since the entire triangle was translated, each point gets shifted 9 left and 3 up which does not alter the triangle measurements, so all sides and angles of triangle' is the same as the original.
Answer:
Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.
Step-by-step explanation:
We know that Kate runs 2/3 of a mile on Mondays, Wednesdays and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. We calculate how many miles does Kate run during the week.
Therefore, we get

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.