substitute all given values in this formula v=base ×height
then height= base /volume
We will use the amount Jermaine used to determine the admission price, since that is not given to us. The total amount he paid is equal to the sum of the price of the tickets and the admission price, a. We get the equation 48.75 = 1.50 * 20 + a (a = $18.75). Now, if a person comes to the fair and pays for only the rides and admission, we can form an equation in x, the number of ride tickets, and y, the total cost incurred by that person. y = 1.50x + 18.75. Here, y is the total cost, 1.50 is the price per ticket, x is the number of tickets and 18.75 is the admission cost.
<h3>
Answer: 9.03</h3>
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Explanation:
For now, focus solely on triangle HGF.
We'll need to find the measure of angle F.
Use the law of cosines
f^2 = g^2 + h^2 - 2*g*h*cos(F)
(4.25)^2 = 8^2 + 6^2 - 2*8*6*cos(F)
18.0625 = 100 - 96*cos(F)
18.0625-100 = -96*cos(F)
-81.9375 = -96*cos(F)
cos(F) = (-81.9375)/(-96)
cos(F) = 0.853515625
F = arccos(0.853515625)
F = 31.403868 degrees approximately
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Now we can move our attention to triangle DEF.
We'll use the angle F we just found to find the length of the opposite side DE, aka side f.
Once again, we use the law of cosines.
f^2 = d^2 + e^2 - 2*d*e*cos(F)
f^2 = (4.75+8)^2 + (11+6)^2 - 2*(4.75+8)*(11+6)*cos(31.403868)
f^2 = 81.563478
f = sqrt(81.563478)
f = 9.031250 approximately
Rounding to two decimal places means we get the final answer of DE = 9.03
The answer for this question is c
Answer:
And we can find this probability with this difference
And we can see the figure in the plot attached.
Step-by-step explanation:
Let X the random variable that represent the redings on thermometers of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
We can use the z score formula given by:
Using this formula we got:
And we can find this probability with this difference
And we can see the figure in the plot attached.
