Answer:
Slope = -⁵/3
Step-by-step explanation:
See the attachment below. In the attachment, the green line represents the the rise while the red line represents the run of the line.
The slope = rise/run
Rise = 5
Run = 3
Slope = -(5/3)
Slope = -⁵/3 (the slope would be negative because the line slants downwards from your left to the right)
In order to confirm if which ordered pair is a solution of the given equation above, we can just simply plug in the values.
So based on my solution, the correct answer would be the third option: <span>(5,1)
So let us try to plug in the values.
2(5) - 1 = 9
10 -1 = 9
9 = 9
So this is the correct one. Hope this answers your question.</span>
Answer:
standard error = 2.11
Step-by-step explanation:
First we stablish the data that we have for each sample:
<u>Population 1</u> <u>Population </u>2
n₁ = 100 n₂ = 90
x¯1= 95 x¯2 = 75
σ₁ = 14 σ₂ = 15
To calculate the standard error of each sample we would use the formulas:
σ = σ₁/√n₁
σx¯2 = σ₂/√n₂
Now, in order to obtain the standard error of the differences between the two sample means we combine those two formulas to obtain this:
σx¯1 - σ x¯2 = √(σ₁²/n₁ + σ₂²/n₂ )
So as you can see, we used the square root to simplify and now we require the variance of each sample (σ²):
σ₁² = (14)² = 196
σ₂² = (15)² = 225
Now we can proceed to calculate the standard error of the distribution of differences in sample means:
σx¯1 - σx¯2 = √(196/100 + 225/90) = 2.11
This gives an estimate about how far is the difference between the sample means from the actual difference between the populations means.
Step-by-step explanation:
L = 2W - 8
P = 230 yd
P = 2×(L+W)
230 = 2× (2W - 8 + W)
230 = 2× (3W-8)
230 = 6W-16
6W= 230+16
6W = 246
W = 246/6
W = 41
L = 2(41) -8
= 82-8
= 74
so, the dimensions of the playing field:
the length = 74 yd
the length = 74 ydthe wide = 41 yd
The answer to this equation is 1412 or 21-15
