Answer:
The right answer is:
The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.
Step-by-step explanation:
At a level of significance of 5%, a P-value of 0.026 (2.6%) means that the difference is significant and the null hypothesis is rejected.
The difference between the proportions is significant, what means that more than 61% of Americans oppose the Tea Party movement this year.
Note: The difference in the sample proportions (3%) is not enough to claim that the difference is significant.
The right answer is:
The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.
x^8/x^5=27
x=3 when you flip the equation (rounded number)
First find out how many Carly sold:-
90 ÷ 2 = 45
Carly sold 45 rolls
Add to find out how many the sold together:-
90 + 45 = 135
Jasmine and Carly sold 135 rolls of wrapping paper together.
Answer:
240 cars
Step-by-step explanation:
The salesman sells 15 to 25 cars per month. Average number of cars sold per month would be =
cars per month
one year has 12 months
Number of cars sold in an year = monthly rate x no. of months
= 20 x 12
= 240 cars
Answer:
Step-by-step explanation:
Let ![u^2=x^4\\u = x^2](https://tex.z-dn.net/?f=u%5E2%3Dx%5E4%5C%5Cu%20%3D%20x%5E2)
Subbing in:
![9u^2-2u-7=0](https://tex.z-dn.net/?f=9u%5E2-2u-7%3D0)
a = 9, b = -2, c = -7
The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:
![9u^2-9u+7u-7=0](https://tex.z-dn.net/?f=9u%5E2-9u%2B7u-7%3D0)
Group together in groups of 2:
![(9u^2-9u)+(7u-7)=0](https://tex.z-dn.net/?f=%289u%5E2-9u%29%2B%287u-7%29%3D0)
Now factor out what's common within each set of parenthesis:
![9u(u-1)+7(u-1)=0](https://tex.z-dn.net/?f=9u%28u-1%29%2B7%28u-1%29%3D0)
We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:
![(u-1)(9u+7)=0](https://tex.z-dn.net/?f=%28u-1%29%289u%2B7%29%3D0)
Remember that ![u=x^2](https://tex.z-dn.net/?f=u%3Dx%5E2)
so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.
![(x^2-1)(9x^2+7)=0](https://tex.z-dn.net/?f=%28x%5E2-1%29%289x%5E2%2B7%29%3D0)
The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring
gives us that x = 1 and -1. The other set is a bit more tricky. If
then
and
![x^2=-\frac{7}{9}](https://tex.z-dn.net/?f=x%5E2%3D-%5Cfrac%7B7%7D%7B9%7D)
You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:
±![\sqrt{-\frac{7}{9} }](https://tex.z-dn.net/?f=%5Csqrt%7B-%5Cfrac%7B7%7D%7B9%7D%20%7D)
which will simplify down to
±![\frac{\sqrt{7} }{3}i](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B7%7D%20%7D%7B3%7Di)
Those are the 4 solutions to the quartic equation.