Answer: 51.86 and 23.14
Step-by-step explanation:
The rectangular garden must have a perimeter of 150 feet
Perimeter of rectangular garden =
2l + 2w=150 -----------1
The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.
Area of rectangular garden =
l×w= 1200 feet^2 -----------2
From equation 2, l=1200/w
Put l=1200/w in equation 1
2× 1200/w + 2w = 150
(2400/w) +2w = 150
(2400+2w^2)/w =150
2400+2w^2= 150w
2w^2- 150w+2400=0
Using the general formula
w = [-b+-√(b^2-4ac)]/2a
a = 2, b =-150, c=2400
w =[--150+/-√(-150^2-4×2×2400)]/2×2
=[150+/-√(22500-19200)]/4
=[150+/-√3300)]/4
=(150+57.45)/4 or (150-57.45)/4
w= 207.45/4 or 92.55/4
w= 51.86 or w= 23.14
l = 1200/51.86 or l= 1200/23.14
l = 23.14. or l= 51.86
For an area of at least 1200ft^2
The dimensions are 51.86 and 23.14
Answer:
3x(2x - 3)
Step-by-step explanation:
Given
y = 6x² - 9x ← factor out 3x from each term
= 3x(2x - 3)
Answer: 40%
Step-by-step explanation: all percents add to 100%, so 40%+20%=60%, and 100%-60%=40%
Answer:
The critical value that should be used is T = 2.0796.
The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 22 - 1 = 21
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.0796, which is the critical value that should be used.
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 98.78 - 6.868 = $91.912
The upper end of the interval is the sample mean added to M. So it is 98.78 + 6.868 = $105.648
The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.
For this case we have that by definition, the volume of a cuboid is given by:

Where:
L: It's the long
A: It is the width
h: It is the height
According to the problem data we have:

So, the volume of the cuboid is:

Finally, the volume of the cuboid is: 
Answer:
