For this, you'll be subtracting the area of the garden plot from the area of the whole backyard. However, you need to convert feet to yards. I'll be using dimensional analysis to solve that:
![\frac{2 ft}{1} *\frac{12in}{1ft} *\frac{1yd}{36in} =\frac{24}{36} =\frac{2}{3} yd](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20ft%7D%7B1%7D%20%2A%5Cfrac%7B12in%7D%7B1ft%7D%20%2A%5Cfrac%7B1yd%7D%7B36in%7D%20%3D%5Cfrac%7B24%7D%7B36%7D%20%3D%5Cfrac%7B2%7D%7B3%7D%20yd%20)
Now that we know its 2/3 yd, we can solve for the areas.
Rectangle: ![A=bh \\A=\frac{3}{1} *\frac{2}{3} \\ \\ A=\frac{6}{3} =2](https://tex.z-dn.net/?f=%20A%3Dbh%20%5C%5CA%3D%5Cfrac%7B3%7D%7B1%7D%20%2A%5Cfrac%7B2%7D%7B3%7D%20%5C%5C%20%5C%5C%20A%3D%5Cfrac%7B6%7D%7B3%7D%20%3D2%20)
Triangle: ![A=\frac{1}{2} bh\\ \\A=\frac{1}{2} *6*8\\\\ A=24](https://tex.z-dn.net/?f=%20A%3D%5Cfrac%7B1%7D%7B2%7D%20bh%5C%5C%20%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%20%2A6%2A8%5C%5C%5C%5C%20A%3D24%20%20)
Now that we got the areas, its time to subtract: ![24-2=22](https://tex.z-dn.net/?f=%2024-2%3D22%20)
The grass will be 22 yds^2
-6 > -4x - 30 - 6 > -4x - 30
-6 > -4x - 36 > -4x - 30
+ 4x + 4x + 4x
4x - 6 > -36 > -30
+ 6 + 6 + 6
4x > -30 > -24
4 4 4
x > -7.5 > -6
0 > -x - 7.5 > -x - 6
7.5 > -x > -x - 6
-7.5 > x > x + 6
No solution.
Answer:
H0: μc ≤ μs Ha :μc > μs
Step-by-step explanation:
The null and alternate hypotheses can be stated as
H0: μc ≤ μs Ha :μc > μs one tailed test
Where
μc = Mean of college students watching movies in a month
μs = Mean of school students watching movies in a month
For one tailed test of α =0.05 the value of Z= ± 1.645
The critical region will be Z > ± 1.645
It is of importance to note that by rejecting the null hypothesis and accepting the alternate hypothesis we are automatically rejecting all values of mean that are greater than 7.1
Answer:You'll find that x = 671 miles
Step-by-step explanation:
Setting up and solving an equation of ratios is one of the fastest ways in which to solve this kind of probelm.
183 miles 3 hrs
-------------- = ------------
x 11 hrs