Answer:
19 units²
Step-by-step explanation:
Divide into three shapes:
Large rectangle BEFA
Large triangle - BCE
Small triangle - CDE -
BEFA = 4x3 = 12
BCE = 1/2x4x2 = 4
CDE = 1/2x3x2 = 3
12+4+3=19
Answer:
The answer is 7.5 gallons per hour.
Step-by-step explanation:
16 fluid ounces multiplied by 60 minutes equals 960 fluid ounces
16 * 60 = 960
960 fluid ounces divided by 128 fluid ounces (which is 1 gallon) equals 7.5 gallons.
960 / 128 + 7.5
So the answer is 7.5 gallons per hour.
Hope this helps! :)
Answer:
99.87% of cans have less than 362 grams of lemonade mix
Step-by-step explanation:
Let the the random variable X denote the amounts of lemonade mix in cans of lemonade mix . The X is normally distributed with a mean of 350 and a standard deviation of 4. We are required to determine the percent of cans that have less than 362 grams of lemonade mix;
We first determine the probability that the amounts of lemonade mix in a can is less than 362 grams;
Pr(X<362)
We calculate the z-score by standardizing the random variable X;
Pr(X<362) = 
This probability is equivalent to the area to the left of 3 in a standard normal curve. From the standard normal tables;
Pr(Z<3) = 0.9987
Therefore, 99.87% of cans have less than 362 grams of lemonade mix
Tan30=x/18yd
x=0.57734 x 18
x=10.4yd
q - 6 = sqrt(27 - 2q)
Squaring both sides:-
(q - 6)^2 = 27 - 2q
q^2 - 12q + 36 = 27 - 2q
q^2 - 10q + 9 = 0
(q - 9)(q - 1) = 0
so there are 2 solutions q = 1 and q = 9.
Testing to see if the solutions are not extraneous:-
q = 9:-
9 - 6 = 3
sqrt(27-18) = 3 So q = 9 is a solution (answer)
q = 1
q - 6 = -5
sqrt (27 - 2) = sqrt 25 = -5 so q = 1 is also an answer