Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Sample mean(x) = 23500
Sample standard deviation (sd) = 3900
Sample size (n) = 20
Population mean (m) = 20,000
Null hypothesis : m = 20000
H1: m > 20000
To obtain the z-score :
(population mean - sample mean) / (sample standard deviation /√sample size)
(x - m) / (sd/√n)
(23500 - 20000) / (3900 / √20)
3500 / (3900 /4.4721359)
3500 / 872.06651
= 4.0134
Get the P value to know if to reject or accept the null:
P(z > 4.0134) = 1 - P(z < 4.0134)
P(z < 4.0134) = 1
1 - P(z < 4.0134) = 1 - 1 =0
Since P value is < alpha, we reject the null.
Hence average is > 20000
Answer:
∴V=(14-2x)(10-2x)x
where V is the volume of the box in cubic units.
Step-by-step explanation:
Given that,
A rectangle has a length of 14 units and width of 10 units.
4 squares with dimensions x by x units are cut out from the each corner of the rectangle.
The length of the box is= (14-2x) units
The width of the box is =(10-2x) units
The height of the box is = x unit.
The volume of the box is = Length × width×height
=(14-2x)(10-2x)x cubic units.
∴V=(14-2x)(10-2x)x
where V is the volume of the box in cubic units.
Answer:
25 seconds
Step-by-step explanation:
You have a rate of:

And you want to find how many seconds it would take to fill in 5 gallons of water. Using the rate, we use it as a conversion factor from rate to seconds:

Answer:

Where
,
, and 
Step-by-step explanation:
See the attached image for the long division I did to get this answer!