Answer:
-11x-4 is the answer if the expression to simplify is (-7x+1)-(4x+5).
Step-by-step explanation:
We are first going to distribute to get rid of the ( ):
-7x+1-4x-5
Pair up like terms:
-7x-4x+1-5
Combine the like terms:
-11x-4
Answer:
![g(x) = \frac14x^2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Cfrac14x%5E2)
Step-by-step explanation:
Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.
To find it, we use the given point of g, (2,1)
So g(2) = 1
meaning that
a·2² = 1
4a = 1
a = 1/4
Answer:
83
Step-by-step explanation:
So there us 4 tests 3 of them are 90 to bring down the average to 88 you need to get a low mark. To get to that mark you plus all the 90s together and you add 82 then divide by 400 and times by 100 and that's how to get the answer
Answer:
probability of picking a yellow =0.4706
a blue or green = 0.2941
an orange = 0 ( there is no orange bag)
We want to find the value that makes
![P(X\ge x)=0.2](https://tex.z-dn.net/?f=P%28X%5Cge%20x%29%3D0.2)
To find it we must look at the standard normal table, using the complementary cumulative table we find that
![P(Z\ge z)=0.20045\Leftrightarrow z=0.84](https://tex.z-dn.net/?f=P%28Z%5Cge%20z%29%3D0.20045%5CLeftrightarrow%20z%3D0.84)
Then, using the z-score we can find the minimum score needed, remember that
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
Where
σ = standard deviation
μ = mean
And in our example, x = minimum score needed, therefore
![\begin{gathered} 0.84=\frac{x-480}{105} \\ \\ x=0.84\cdot105+480 \\ \\ x=568.2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%200.84%3D%5Cfrac%7Bx-480%7D%7B105%7D%20%5C%5C%20%20%5C%5C%20x%3D0.84%5Ccdot105%2B480%20%5C%5C%20%20%5C%5C%20x%3D568.2%20%5Cend%7Bgathered%7D)
Rounding to the nearest integer the minimum score needed is 568, if you get 568 you are at the top 20.1%.