Answer:
A. 385.56 square meters.
B. 142.56 square meters.
Step-by-step explanation:
A house 27m by 9m is surrounded by a walkway 1.8m wide.
a) Find the area of the region covered by the house and the walkway.
b) Find the area of the walkway.
Let
Length of the house=l=27m
Width of the house=w=9m
Wideness of the walkway=x=1.8m
Area of the region covered by the house and the walkway
=( L + 2*x) * (w + 2*x)
= (27+2*1.8)*(9+2*1.8)
=(27+3.6)*(9+3.6)
=(30.6)*(12.6)
=385.56 square meters.
b) Area of the walkway
= (L + 2*x)*(w + 2*x) - l*w
= (27+2*1.8)*(9+2*1.8) - 27*9
=(27+3.6)*(9+3.6) - 243
=(30.6)*(12.6) - 243
=385.56 - 243
=142.56 square meters.
Answer:
Categorical or Continuous.
Step-by-step explanation:
Because the red appears in each colours (continuous)
Solution :
Given :
Sample mean, ![$\overline x = 714.2$](https://tex.z-dn.net/?f=%24%5Coverline%20x%20%3D%20714.2%24)
Sample size, n = 40
Standard deviation, s = 83.2
∴ The null hypothesis is ![$H_0 : \mu = 703.5$](https://tex.z-dn.net/?f=%24H_0%20%3A%20%5Cmu%20%3D%20703.5%24)
Alternate hypothesis is ![$H_a : \mu > 703.5$](https://tex.z-dn.net/?f=%24H_a%20%3A%20%5Cmu%20%3E%20703.5%24)
Test statistic :
![$z = \frac{\overline x - \mu}{s / \sqrt n}$](https://tex.z-dn.net/?f=%24z%20%3D%20%5Cfrac%7B%5Coverline%20x%20-%20%5Cmu%7D%7Bs%20%2F%20%5Csqrt%20n%7D%24)
![$z = \frac{714.2-703.5}{83.2 / \sqrt {40}}$](https://tex.z-dn.net/?f=%24z%20%3D%20%5Cfrac%7B714.2-703.5%7D%7B83.2%20%2F%20%5Csqrt%20%7B40%7D%7D%24)
z = 0.813
Now at α = 0.05, for a right tailed,
![$z_{critical} = 1.645$](https://tex.z-dn.net/?f=%24z_%7Bcritical%7D%20%3D%201.645%24)
Since,
, we fail to reject the null hypothesis.
Answer:
7a+2a=9a
Step-by-step explanation:
You distribute the a to each of the numbers in the parenthesis. Which means that you multiply. You should be left with a 7a+2a. Then since 7+2=9, your answer is 9a. So answer 1 is correct because they do these exact steps.
Answer:
20
Step-by-step explanation:
The angles are vertical angles which means they are equal
60 = 2x+20
Subtract 20 from each side
60-20 = 2x+20-20
40 =2x
Divide by 2
40/2 = 2x/2
20 =x