A: l x w = a formula for area
l = w + 48 length
w(w+48) = 3024 substitute l with w+48
w^2 + 48w -3024=0 —solution to part A
B: w^2 + 48w - 3024 = 0 factor
(w-36)(w+84) = 0
Solutions for width = 36,-84
A width can’t be negative, so the width is 36 inches
Answer:
Your answers may vary slightly. 5.2 Normal Distributions: Finding Probabilities If you are given that a random variable Xhas a normal distribution, nding probabilities corresponds to nding the area between the standard normal curve and the x-axis, using the table of z-scores. The mean (expected value) and standard deviation ˙should be given
Step-by-step explanation:
The scale factor is 1/2 or a half
Answer:
m 1 = 45 degrees because 1 and the angle measuring 135 degrees are supplementary angles.
m 2 = 95 degrees because 2 and the angle measuring 95 degrees are vertical angles.
m 3 = 40 degrees because 1, 2, and 3 form a triangle
Step-by-step explanation:
Answer:
$65.325 or $65.33
Step-by-step explanation:
When looking for a percentage in a number, you want to multiply that number by the percentage. Remember that all percentages are to the hundreth power, or 0.00. So if you want to find 30% of 50.25, you multiply it by 0.30 or 0.3. After calculating that you will come up with 15.075 as the percentage. Since the store is marking the price up, you add it to the original price. So your equation is 50.25 + 15.075 =?. After calculating that, you get the answer 65.325. That is only half of your answer though because, when dealing with money, you always round to the nearest hundredth. So when you round 65.325, you get 65.33 which should be the correct answer.
