Answer:
Step-by-step explanation:
y = x .....(1)
.... (2)
By solving equation (1) and equation (2)
or 
x = 0, x = 1
y = 0, y = 1
A = 
A = 
A = ![\frac{2}{3}[x^\frac{3}{2}]_{0}^{1}-\frac{1}{2}[x^2]_{0}^{1}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%5Bx%5E%5Cfrac%7B3%7D%7B2%7D%5D_%7B0%7D%5E%7B1%7D-%5Cfrac%7B1%7D%7B2%7D%5Bx%5E2%5D_%7B0%7D%5E%7B1%7D)
A = 
A =
871 miles ........... 13 hours
469 miles ............x hours
x = 469×13/871 = 7 hours
Answer:
10
Step-by-step explanation:
Given that Sasha has won 0 games in the 40 games she has played.
Let she needs to win x game in a row, so
Total game she played = 40 + x
The number of the game she won is x, which is 20% of the total game she played, so
x = 20% of (40+x)
Hence, she needs to win 10 games in a row.
Since 5 winning numbers are draw and there are exactly 2 winning numbers, the other 3 numbers chosen have to be incorrect.
The 2 numbers picked right, there are 5C2=10 different possibilities.
The other 3 numbers are just picked from the rest of the 32 numbers. Getting there are 32C3=4960 different possibilities.
For each set of 2 correct winning numbers, you could have the 4960 different losing numbers to match up to make a unique set. This meant that there are 4690*10=46900 different total possibilities.
Now the total different outcomes of how you can choose the numbers are 37C5=435897 outcomes.
Now the way to find probabilities is want/total
The want is 46900 and the total is 435897
Doing the division you get the number rounded to the nearest thousandths as 0.107 or in percent form as
10.759% chance of picking exactly 2 winning numbers.
This seems like a competition problem of some sort therefore I assume that you already know what combinations in form nCk and permutation in form nPk means.
Answer:
c=-1/4
Step-by-step explanation:
Y=2x+c=2(x+c/2), so m=2.
To be tangent we need to check y’ of parabola: y’=2x+3.
So for some x it must be 2x+3=2 (cause m=2). We have x=-1/2.
Now we use x=-1/2 to find y from 2nd equation (equation of parabole): we got y=1/4-3/2=-5/4.
So tangent has point (-1/2,-5/4).
Put that point in firts equation (equation of line): -5/4=-1+c,
so we have c=-1/4.
