the formula for area of a rectangle is
Area = length x width
since both the length and the width of the rectangle lie on the same x and y axis, we can find the distance between the width and the distance between the length by subtracting
(-4,9) (-4,-3)
these points lie on the same x axis, so they create a vertical line
9-(-3) = 12
12 units is the distance between them
(-4,-3) (-1,-3)
these points lie on the same y axis, so they create a horizontal line
-1-(-4) = 3
3 units is the distance between them
now that we have the length and the width, we can find the area
A = 12 x 3
A = 36 units²
The rate of change is gonna be 0
Answer:
23 degrees
Step-by-step explanation:
Find the diagram attached
The sum of angle on the straight line is 180°
103+3x+15+x+10 = 180
128+4x =180
4x = 180-128
4x = 52
x = 52/4
x = 13
The measure of the angle of the intersection between Derby Drive and Rosemont is x+10
= 13+10
= 23 degrees
Hence the measure of the angle is 23 degrees
Answer:
67
Step-by-step explanation:
To round 67.498 to the nearest whole number consider the tenths’ value of 67.498, which is 4 and less than 5. Therefore, we have to round down: the whole number ones place value of 67.498, 67, remains 67, and the decimal point and all digits (.498) are removed.
67.498 rounded to the nearest whole number = 67
Answer:
i) P(X<33) = 0.9232
ii) P(X>26) = 0.001
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean of the Population = 30
Given that the standard deviation of the Population = 4
Let 'X' be the Normal distribution
<u>Step(ii):-</u>
i)
Given that the random variable X = 33

>0
P(X<33) = P( Z<1.5)
= 1- P(Z>1.5)
= 1 - ( 0.5 - A(1.5))
= 0.5 + 0.4232
P(X<33) = 0.9232
<u>Step(iii) :-</u>
Given that the random variable X = 26

>0
P(X>26) = P( Z>3.5)
= 0.5 - A(3.5)
= 0.5 - 0.4990
= 0.001
P(X>26) = 0.001