Take the formula: y=mx+b
m= slope
b=y-intercept
m=2
b=-1
therefore:
y=2x-1
Answer:
0 Oranges
Step-by-step explanation:
If you had 2 oranges at the start, then your no good friend Bernice took 2 of them, you don't have any oranges left, so get back at him and steal his bannanas! That'll teach him!
30 minutes / 3 miles = 10 minutes for 1 mile
7 miles * 10 minutes per mile = 70 minutes total to run 7 miles
Answer:
1. The growth rate is 2
2. The sample is losing half its mass, so the decay factor is 1/2 or 0.5
Step-by-step explanation:
The growth and decay factor in an exponential function is the number that is being multiplied to the power of x
- It is a growth rate when that number is greater than 1
- It is a decay rate when the number is less than 1
- If it's 1 then it's not growing or decaying
- If it's 0 you will have an answer of 0
Answer:
probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3
Step-by-step explanation:
First of all;
Let B1 be the event that the card with two red sides is selected
Let B2 be the event that the
card with two black sides is selected
Let B3 be the event that the card with one red side and one black side is
selected
Let A be the event that the upper side of the selected card (when put down on the ground)
is red.
Now, from the question;
P(B3) = ⅓
P(A|B3) = ½
P(B1) = ⅓
P(A|B1) = 1
P(B2) = ⅓
P(A|B2)) = 0
(P(B3) = ⅓
P(A|B3) = ½
Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;
P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]
Thus;
P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]
P(B3|A) = (1/6)/(⅓ + 0 + 1/6)
P(B3|A) = (1/6)/(1/2)
P(B3|A) = 1/3
