53.69*.15= 8.05
Change the 15% to a decimal before multiplying. Round answer to two decimal places since it is money (unless told otherwise)
Answer:
The lateral surface area of the triangular prism is 379.5sq units
Step-by-step explanation:
The side lengths of the base of the triangular prism are 5 meters, 8 meters, and 10 meters.
It is given that the height of the prism is 16.5 meters.
To determine the lateral surface area of the prism, let us use the formula
where a, b,c are the side lengths of the base of the triangular prism and h is the height of the prism.
Here and
Substituting these values in the formula, we have,
Simplifying, we get,
Multiplying, we get,
Thus, the lateral surface area of the triangular prism is
1) 3j + 5p = 7.60 and 1j + 2p = 2.90
2) Solving for j and p
j = 2.90 - 2p
3(2.90 - 2p) + 5p = 7.60
8.7 - 6p + 5p = 7.60
8.7 - p = 7.60
-p = -1.1
p = 1.1
1j + 2(1.1) = 2.9
j + 2.2 = 2.9
j = .7
3) The values of p and q:
p = $1.1 per pancake, j = .70 cents per glass
Answer:
5/64
Step-by-step explanation:
20/256
10/128
5/64
Answer:
0.1587
Step-by-step explanation:
Let X be the commuting time for the student. We know that . Then, the normal probability density function for the random variable X is given by
. We are seeking the probability P(X>35) because the student leaves home at 8:25 A.M., we want to know the probability that the student will arrive at the college campus later than 9 A.M. and between 8:25 A.M. and 9 A.M. there are 35 minutes of difference. So,
= 0.1587
To find this probability you can use either a table from a book or a programming language. We have used the R statistical programming language an the instruction pnorm(35, mean = 30, sd = 5, lower.tail = F)