1) Line should be parallel to y = 3x+6, so slope of this line should be =3.
y=mx +b
y=3x +b
Now we have to find b (y-intercept), using the point (-10, 2.5).
2.5 = 3*(-10)+b
b=2.5+30=32.5
y=3x + 32.5
2) The line should be perpendicular to y = -4x -2, so its slope is going to be negative reciprocal m= 1/4.
Now we have to find b (y-intercept), using the point (-16, -11).
y=(1/4)x +b
-11=(1/4)*(-16) + b
-11 = -4 +b
b = -7
y=(1/4)x - 7
The Correct Answer Is...
<u><em>5/8!</em></u>
Any Questions? Comment Below!
<u><em>-AnonymousGiantsFan</em></u>
You can change 24.5% by moving the decimal point
24.5%=.245
70,000 x .245=$17,150
Answer:
-20
Step-by-step explanation:
If Jeneesa started with, 0 points and she earned 50, then she would have 50. If she lost 80 points, she would go into the negatives. She would be at -30, and when she earned 10 more points, she would be at -20.
I don't know what your options look like, but look at the one(s) with -20 at the end and figure out what one best fits my explanation (and the numbers I use)!
To calculate this probability we must take into account that there is the same probability that any of the 3 urns is chosen.
This probability is:
P (U1) = P (U2) = P (U3) = 1/3
Urn 1 contains 7 black and 3 red marbles
Urn 2 contains 2 black and 8 marbles network
Urn 3 contains 5 black marbles and 5 red marbles.
The probability of obtaining a black marble in Urn 1 is 7/10.
The probability of obtaining a black marble in Urn 2 is 2/10
The probability of obtaining a black marble in Urn 3 is 5/10.
Then we look for the probability of obtaining a black marble from urn 1 or a black marble from urn 2 or a black marble from urn 3. This is:
P (U1yB) + P (U2yB) + P (U3yB)
So:
(1/3) * (7/10) + (1/3) * (2/10) + (1/3) * (5/10) = 0,2333 + 0,0667 + 0,1667 = 0, 4667.
The probability that it is a black marble is 46.67%
