Answer:
96 cm^2
Step-by-step explanation:
Total Surface Area of a square pyramid:
A = L + B = a2 + a√(a2 + 4h2))
A = a(a + √(a2 + 4h2))
Given:
Rectangle shape.
One side: 5x + 2
other side: x - 4
Area = length * width
Area = (5x+2)(x-4)
A = 5x(x-4) +2(x-4)
A = 5x² - 20x + 2x - 8
A = 5x² - 18x - 8
Answer:
a) The probability that this whole shipment will be accepted is 30%.
b) Many of the shipments with this rate of defective aspirin tablets will be rejected.
Step-by-step explanation:
We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.
We select a sample of size 48 and test for defectives.
If more than one aspirin is defective, the batch is rejected.
The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48
We have to calculate the probabilities that X is equal or less than 1: P(X≤1).
Answer:
(15,18)
Step-by-step explanation:
write two equations with the information provided.
2x + 3y = 84
x + 4y = 87
use the property of substitution to answer.
x + 4y = 87, x = 87 - 4y
2(87 - 4y) + 3y = 84
174 - 8y + 3y = 84
174 - 84 = 8y - 3y
90 = 5y
90/5 = y
y = 18
Add the value of Y to an original equation. Solve for X
2x + 3(18) = 84
2x + 54 = 84
2x = 84 - 54
2x = 30
x = 30/2
x = 15
A percent is a proportion of something that can come from a variety of different numbers depending on what you are measuring. 14.5% is not the same as 14.5 because the 14.5% isn’t necessarily 14.5 of a certain amount. For example, $14.50 of the $100 you have could be from your grandparents; making 14.5% of your money from your grandparents but a deposit of $145 into a bank account that already has $855 would mean that 14.5% of the money in that bank account was from that deposit but $145 does not equal $14.50. They just have the same proportion just different on different scales.
Hope this is what you were looking for.
