When the variance of a sample of 144 observation is 576 then, the standard deviation of the sample equals 24
The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set
Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Given,
The number of samples = 144
The variance = 576
The standard deviation is the square root of variance
The standard deviation = 
=24
Hence, when the variance of a sample of 144 observation is 576 then, the standard deviation of the sample equals 24
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Your answer is 10^(- 4).
Think about how exponents with a base 10 work. 10^1 = 10, 10^2 = 100, 10^3 = 1000. It's just add a zero to the right side as you go up.
Then think about 10^0. Anything to a zero power is 1. Only way to go is into negative exponents now. If for positive exponents on 10 we add a zero to the right side, then for negative exponents we add them to the left. Only difference is we have a decimal.
10^(- 1) = 0.1
10^(- 2) = 0.01
10^(- 3) = 0.001
And then your answer
10^(- 4) = 0.0001
Hopefully that explanation makes sense. Exponents can be rough to explain when you're not face-to-face or using some sort of live animation to talk through it. If you're still confused, I'd suggest talking to your instructor.
Answer:
Lonnie is incorrect because the ratio is 6:5 and not 16:5.
Step-by-step explanation:
First, create a ratio comparing the number of boys to girls:
42:35
This can be simplified since both numbers are divisible by 7:
42:35
Divide each number by 7:
6:5
So, Lonnie is incorrect because the ratio is 6:5 and not 16:5.
2 (<<ANSWER, I have to type twenty letters to post so ignore this..)
Answer:
Step-by-step explanation:
focus (1 , -7) ⇒ a = 1 & b = -7
y = 1 ⇒ c = 1
Equation of parabola :
(x - a)² + (y - b)² = (y - c)²
(X - 1)² + (y + 7)² = (y - 1)²
Now, expand.
x² - 2x + 1 + y² + 2*7*y + 7² = y² - 2*y*1 + 1
x² - 2x + 1 + y² - 14y + 49 = y² - 2y +1
x² - 2x + 1 + y² - 14y + 49 - y² + 2y - 1 = 0
x² - 2x + <u>y² - y²</u> <u> - 14y + 2y</u> <u>+ 1 + 49 - 1 </u>= 0
x² - 2x - 12y + 49 = 0
