Answer:
0.24315
Step-by-step explanation:
Using the z score formula to solve this question
z = (x - μ) / σ,
Such that:
x = raw score
μ = population mean
σ = population standard deviation.
From the question:
x = 3000
μ = 3550
σ = 870
z = (3000 - 3550) / 870
z = -550/870
z = -0.6962
Using the z score table as well as probability calculator(as requested in the question to find the z score)
The probability of having less than 3000 is obtained as:
P(x<3000) = 0.24315
The answer to the question is 6/9.
Answer:
Graph D
Step-by-step explanation:
Initially, Marlon was looking for his pump. Thus, no air was pumped into the balloon until he got the pump. On getting the pump, he inflated the balloon with air at a constant rate, after which he tied it with a string to prevent the air from escaping.
The analysis is that, at the time he decided to inflate the balloon till he got a pump, the volume of air in the balloon is zero with respect to time. Pumping air at a steady rate into the balloon increases the volume of air flowing into it gradually and steadily.
When the volume got to a definite amount, he stopped pumping air and tied with a string. Thus, the volume of air in the balloon remains constant.
a) To find the volume of a cube, you cube the side length.
So, that will be V = 9/2³ = 729/8 in³.
b) To find the volume of a rectangular prism, you multiply the length by the width by the height.
So, that is V = 18 * 9 * 9/2 = 729 in³.
c) To find how many times the smaller box can go into the larger one, you divide the larger one's volume over the smaller one's.
That is <em>729/(729/8) = 729*8/729 = </em><em>8 boxes</em><em>.</em>
