Answer:
81 samples
Step-by-step explanation:
According to the empirical rule :
Possible values of the sample mean is within 3 standard deviations of the population mean :
μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.
3 * sd(x) = 1
sd(x) = 1/3
Recall:
Standard deviation of sampling distribution, sd(x)
sd(x) = σ / sqrt(n)
1/3 = 3 / sqrt(n)
Square both sides
1/9 = 9/n
Cross multiply :
n * 1 = 9 * 9
n = 81
Answer:D
Step-by-step explanation:
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Find Slope :
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y = -2/7x + 9
Slope = -2/7
Perpendicular slope= 7/2
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Find y - intercept :
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y = mx + b
y = 7/2 x + b
At (4, -6)
-6 = 7/2 (4) + b
-6 = 14 + b
b = -6 - 14
b = -20
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Form equation :
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y = mx + b
y = 7/2 x - 20
2y = 7x - 40
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Answer: 2y = 7x - 40
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Answer:
Step-by-step explanation:
If the point (2,3) is on the terminal side of an angle in standard position.
Adjacent of O, x=2,
Opposite of O, y=3
Next, we determine the hypotenuse, r using Pythagoras Theorem.
Therefore:
Answer:
x = -4
Step-by-step explanation:
Step 1: Define
j(x) = 3x + 1
j(x) = -11
Step 2: Substitute and solve for <em>x</em>
-11 = 3x + 1
-12 = 3x
x = -4
