16 meters
explanation:
8+8(since there’s two sides) =16
48-16=32
32/2= 16
so, each longer side is 16 meters
The slope of this line is 1/2.
In order to find the slope of any equation, you can take two points and use the slope formula. For ease, we'll use the two intercepts that you can see: (0, -3) and (6, 0). The formula for slope is below.
m = (y2 - y1)/(x2 - x1)
In this equation, m is the slope and (x1, y1) is the first ordered pair and (x2, y2) is the second. So we place those values in to solve for m.
m = (y2 - y1)/(x2 - x1)
m = (0 - -3)/(6 - 0)
m = 3/6
m = 1/2
And that is your slope.
1/2(4x-5) + 5/2 = 10
Use the distributive property:
2x - 5/2 + 5/2 = 10
Use addition property:
2x = 10
Divide both sides by 2:
x = 10/2
x = 5
Answer:
And replacing the value obtained we got:
And if we solve for a we got
Step-by-step explanation:
Let X the random variable that represent the average home prices of a population, and for this case we know the distribution for X is given by:
Where 
and 
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
We want to find a value who accumulate 0.10 of the area on the left and 0.90 of the area on the right of the normal standard distributon and for this case it's z=-1.282
And using the distribution for the sample mean we can do this:
And replacing the value obtained we got:
And if we solve for a we got
(a+b)(a-b) = a^2 - b^2
(1+5/6) (1-5/6) = 1^2 - (5/6)^2 = 1 - 25/36 = 36/36 - 25/36 = (36-25)/36 = 11/36
11/36 is your answer
