Answer:
And we can find this probability with the normal standard distirbution or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the lenghts of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the normal standard distirbution or excel and we got:
Please enclose the "nt" inside parentheses: <span>A(t)=P(1+r/n)^(nt).
Then: A = $500*(1+0.06/12)^(5*12) = $641.68</span>
Hi there!
You would have to simplify the terms inside [ ] this thing, then multiply.
So let's simplify them first.
4 - (3c - 1)
use distributive property.....
4 - 3c + 1
-3c + 5
6 - (3c - 1)
use distributive property again...
6 - 3c + 1
-3c + 7
so now, multiply (-3c + 5)(-3c + 7).
(-3c + 5)(-3c + 7)
9c² - 21c - 15c + 35
9c² - 36c + 35
So your final answer is...
9c² - 36c + 35
Hope this helped! :)
Answer:
y = -x + 4
Step-by-step explanation:
The point-slope formula for a straight line is
y – y₁ = m(x – x₁)
x₁ = -1; y₁ = 5; m = -1 Substitute the values
y – 5 = -1(x + 1) Remove parentheses
y – 5 = -x - 1 Add 5 to each side
y = -x + 4
The graph is a straight line with a y-intercept at y = +4 and a slope = -10/10
= -1.
Answer:
Answer:8: -4/7x+1 9: y=-x+1
Step-by-step explanation:
I dont knwo the rest just put into slope intercept form