Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it.
The confidence interval can be calculated using following formula:
Where
is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:
The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income:
Answer:
A.
Step-by-step explanation:
1) to rewrite the given equation:
f(x)=2(x²+4x)-3; ⇔ f(x)=2(x²+4x+4)-3-8; ⇔ f(x)=2(x²+4x+4)-11; ⇔ f(x)=2(x+2)²-11;
2) the roots are:
3) finally, the correct answer is A.
Answer:
X = 7.2
Step-by-step explanation:
Hello
For the triangle of right side, using Pytagoras:
(2.5)^2 + b^2 = 6^2
6.25 + b^2 = 36
b^2 = 36 - 6.25
b^2 = 29.75
b = 5.45
Now we can to find X using again Pytagoras:
3^2 + (5.45)^2 = x^2
9 + 29.75 = x^2
38.75 = x^2
X = 7.2
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Answer:26 last one 25 first and 3 middle
Step-by-step explanation:
Answer: Choice A
y + 1 = -3(x+2)
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Explanation:
Let's look through the answer choices.
Choices C and D show that the point (2,1) is on the line. But the graph does not show this. So we can rule out choices C and D.
With choice A, the slope is negative and choice B has a positive slope.
The answer must be choice A because the line is going downhill as we move from left to right.
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A common method is to pick two points on the line and compute the slope using the slope formula
m = (y2-y1)/(x2-x1)
Once you know the slope, you would use point slope form
y - y1 = m(x - x1)
