This is the concept of Area and volume of solid materials; Tommy soup can is likely to have a cylindrical shape. This means that the base of the cylinder will have a circular shape. If this is the case the volume of the can will be given by:
volume=[base area]*height
volume=πr^2h
where;
base area=πr^2
height=h
Answer:
The value of y that would make O P parallel to L N = 36
Step-by-step explanation:
This is a question on similar triangles. Find attached the diagram obtained from the given information.
Given:
The length of O L = 14
the length of O M = 28
the length of M P = y
the length of P N = 18
Length MN = MP + PN = y + 18
Length ML = MO + OL = 28+14 = 42
For OP to be parallel to LN,
MO/ML = MP/PN
MO/ML = 28/42
MP/PN= y/(y+18)
28/42 = y/(y+18)
42y = 28(y+18)
42y = 28y + 18(28)
42y-28y = 504
14y = 504
y = 504/14 = 36
The value of y that would make O P parallel to L N = 36
Answer:
0.159
Step-by-step explanation:
Given that:
Sample size (n) = 100
Population mean(pm) = 50
Standard deviation (s) = 8
Probability that Sample mean (m) will be greater Than 50.8
Using the relation :
(sample mean - population mean) / (standard deviation /sqrt(n))
P(m > 50.8)
Z = (50.8 - 50) / (8/ sqrt(100))
Z = 0.8 / (8/ 10)
Z = 0.8 / 0.8
Z = 1
P(Z > 1) = 0.15866 ( Z probability calculator)
Hence,
P(Z > 1) = 0.159 ( 3 decimal places)
Felecia's husband will catch up to her 1 hour 30 minutes after leaving.
Step-by-step explanation:
Step 1; Felecia is traveling at 45 mph, her husband starts 20 minutes after her but travels at a speed of 55 mph. So first we need to calculate how much of a head start Felecia got.
Head start =
× 45 miles an hour = 15 miles.
So Felecia got a head start of 15 miles.
Step 2; Since Felecia and her husband are traveling at different rates, we can determine how much distance there is between them. Since Felecia is traveling at 45 mph and her husband is traveling at 55 mph, their gap in between is closing at a rate of 55 - 45 = 10 miles every hour. So for every hour, the gap between them is closing by 10 miles.
Total gap initially = 15 miles.
The rate at which gap is being closed = 10 miles an hour.
Time to close the gap = 15 / 10 = 1.5 hours.
Hi.
20% is 1/5 of the population. To find out 100% of the population, we can multiply by 5.
2,360 • 5 = 11,800
The population of the town is 11,800.
Cheers~