Answer:
1/60 probabiliity
Step-by-step explanation:
You have two independent events that you want to put together.
Let Pr. mean "probability"
Pr(5 from 10 cards and 2 on a dice ) = Pr(5 from 10 cards) * Pr( 2 on a dice)
Pr(5 from 10 cards and 2 on a dice ) =(1/10) * (1/6)
= 1/60
Pr(5 from 10 cards and 2 on a dice ) =0.0167
or 1.67% probability
Answer:
answer is attached in the image below
The axis of symmetry of a parabola in the form
![y=ax^2+bx+c](https://tex.z-dn.net/?f=y%3Dax%5E2%2Bbx%2Bc)
is a vertical line
![x=k](https://tex.z-dn.net/?f=x%3Dk)
where k is the x coordinate of the vertex of the parabola.
The x coordinate of the vertex of the parabola is given by
![-\dfrac{b}{2a}](https://tex.z-dn.net/?f=-%5Cdfrac%7Bb%7D%7B2a%7D)
which in your case is
![-\dfrac{-6}{2\cdot \frac{1}{4}}=\dfrac{6}{\frac{1}{2}}=6\cdot 2=12](https://tex.z-dn.net/?f=-%5Cdfrac%7B-6%7D%7B2%5Ccdot%20%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Cdfrac%7B6%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D6%5Ccdot%202%3D12)
So, the axis of symmetry is the line x=12.
Blue car get's 23.6mpg while Red car gets 28mpg.
On one gallon of fuel, Red car will travel 4.4 miles further than Blue car.
Answer:
c(4) = -76
Step-by-step explanation:
c(x) x=4 so plug 4 in for x
-5(4)² + (4)
Do parentheses first so... 4² = 16
-5(16) + 4
-5(16) = -80
-80+4 = -76
c(4) = -76