Answer:
Width of the rectangular prism
It is given to us that the volume of the rectangular prism is calculated by the given formula :-
v = lwh
Where,
v = volume
l = length
w = width
h = height
Now,
In the question we are given :-
v = 138.24 cubic inches
h = 9.6 inches
l = 3.2 inches
w = ?
Substitute these values in the volume formula given :-
138.24 = 3.2 * w * 9.6
138.24 = 30.72 * w
w = 138.24/30.72
w = 4.5
⇒ The width of the rectangular prism is 4.5 inches.
The difference between the 2 times would be .055 seconds...
Answer:
99.85%
Step-by-step explanation:
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years.
Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living less than 16.1 years.
Solution:
The empirical rule states that for a normal distribution most of the data fall within three standard deviations (σ) of the mean (µ). That is 68% of the data falls within the first standard deviation (µ ± σ), 95% falls within the first two standard deviations (µ ± 2σ), and 99.7% falls within the first three standard deviations (µ ± 3σ).
Therefore:
68% falls within (10.4 ± 1.9). 68% falls within 8.5 years to 12.3 years
95% falls within (10.4 ± 2*1.9). 95% falls within 6.6 years to 14.2 years
99.7% falls within (10.4 ± 3*1.9). 68% falls within 4.7 years to 16.1 years
Probability of a meerkat living less than 16.1 years = 100% - (100% - 99.7%)/2 = 100% - 0.15% = 99.85%
Question 1
Total budget = 180 + 475 + 15 + 50 + 65 + 25 + 150 + 30 = $990
Real spending = 182 + 475 + 12 + 65 + 68 + 12.50 + 150 + 36 = $1000.5
Mae Green didn't stay within the allocated budget
---------------------------------------------------------------------------------------------------------
Question 2
Eleanor:
Income = 380.48
Spending = 16.50
Peter:
Income = 120 + 13.65 + 100 = 233.65
Total income = 233.65 + 380.48 - 16.50 = 597.63
-------------------------------------------------------------------------------------------------------------
Question 3
Total spent = 540 + 48.55 + 34.15 + 12.80 + 18.95 + 38.60 + 2 + 6.50 = 701.55
-------------------------------------------------------------------------------------------------------------
Question 4
Marie's new balance = 250.65 - [21.95+48.50+75.60] + 55 = $159.50
------------------------------------------------------------------------------------------------------------
Question 5
[235/825] × 100 = 28.48%
Answer: 30
Step-by-step explanation:
Given :The weight of a bag of golf balls varies directly as the number of golf balls in the bag.
Let x be the number of golf balls in a bag that weighs 1,110 grams.
Then we have the following direct variation equation,
Multiply 1110 both sides , we get
Hence, there are 30 balls in the bag.
