Answer:
1. A = 2x; P = 4x+2. A = 4; P = 10.
2. A = y² +2; P = 4y +2. A = 27; P = 22.
Step-by-step explanation:
1. The area is the sum of the marked areas of each of the tiles:
A = x + x
A = 2x
__
The perimeter is the sum of the outside edge dimensions of the tiles. Working clockwise from the upper left corner, the sum of exposed edge lengths is ...
P = 1 + (x-1) + x + 1 + (x+1) + x
P = 4x +2
__
When x=2, these values become ...
A = 2·2 = 4 . . . . square units
P = 4·2+2 = 10 . . . . units
_____
2. Again, the area is the sum of the marked areas:
A = y² + 1 + 1
A = y² +2
__
The edge dimension of the square y² tile is presumed to be y, so the perimeter (starting from upper left) is ...
P = y +(y-2) +1 +2 +(y+1) +y
P = 4y +2
__
When y=5, these values become ...
A = 5² +2 = 27 . . . . square units
P = 4·5 +2 = 22 . . . . units
X² - 6x +9
x -3
x -3
D) (x - 3) (x -3) is your answer
To check, do your FOIL
x(x) = x^2
x(-3) = -3x
-3(x) = -3x
-3(-3) = 9
x^2 -6x +9 True
hope this helps
Convert 3 hours and 30 minutes all into minutes so that would be 210 minutes. You then have 169 miles / 210 minutes. Get the denominator to 1 minutes by dividing by 210 to the top and bottom and you'll get .080476 miles / 1 minute which is the answer.
Answer:
|Z| = |-4.089| > 1.645 at 0.10 level of significance
Null hypothesis is rejected at 0.10 level of significance
<em>There is a difference between the two Population proportions</em>
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given first sample size (n₁) = 50
Given proportion of the first sample p⁻₁= 0.2
Given second sample size (n₂) = 50
Given proportion of the second sample p₂⁻ = 30/50 = 0.6
<em>Null Hypothesis : H₀: p₁⁻=p₂⁻</em>
<em>Alternative Hypothesis : H₁: p₁⁻≠p₂⁻</em>
<u><em>Step(ii):-</em></u>
Z-statistic
Where
<em>Z-statistic</em>
Z = -4.089
Level of significance =0.10
Z₀.₁₀ = 1.645
|Z| = |-4.089| > 1.645 at 0.10 level of significance
Null hypothesis is rejected at 0.10 level of significance
<u><em>Final answer</em></u>:-
<em>There is a difference between the two Population proportions</em>
Answer:
C
Step-by-step explanation:
divide the # of apple trees by the total
