Answer:
20
Step-by-step explanation:
AB = √(-4)² + (-3)²
AB = √ 16 + 9
AB = √ 25
AB = 5
AD = 4 ; DC = 4 ; BC = 7
Perimeter = 5 + 4 + 4 + 7 = 20 units
Given:
μ = 25 mpg, the population mean
σ = 2 mpg, the population standard deviation
If we select n samples for evaluation, we should calculate z-scores that are based on the standard error of the mean.
That is,

The random variable is x = 24 mpg.
Part (i): n = 1
σ/√n = 2
z = (24 -25)/2 = -0.5
From standard tables,
P(x < 24) = 0.3085
Part (ii): n = 4
σ/√n = 1
z = (24 -25)/1 = -1
P(x < 24) = 0.1587
Part (iii): n=16
σ/√n = 0.5
z = (24 - 25)/0.5 = -2
P(x < 24) = 0.0228
Explanation:
The larger the sample size, the smaller the standard deviation.
Therefore when n increases, we are getting a result which is closer to that of the true mean.
Answer:
y = 3x
Step-by-step explanation:
Slope equation:
y2 - y1
--------
x2 - x1
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6 - 0 6
m = ----------- = ----- = 3
2 - 0 2
Your slope is 3.
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Equation:
y = mx + b
Plug in the slope and you get:
y = 3x + b
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Now to find b, you can use either coordinate point. So I will show you both ways :)
<u>(0,0)</u> <u>(2,6)</u>
0 = 3(0) + b 6 = 3(2) + b
Multiply 0 and 3 Multiply 2 and 3
0 = 0 + b 6 = 6 + b
Subtract 0 to 0 Subtract 6 from 6
0 = b 0 = b
There is no y-intercept
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Your answer: y = 3x
Hope this helped :)