Answer:
√185 or 13.60 units to the nearest hundredth.
Step-by-step explanation:
For the points (x1,y1) and (x2,y2) the length between the points is given by:
L = √ [ (x2-x1)^2 + (y2-y1)^]
So here we have:
Length of AB √ [ (7- - 4)^2 + (-2 - 6)^2]
= √ (121 + 64)
= √185.
Y=.25x+176.10 Y is the monthly cost and B would be the cost of the insurance every month. X is the amount of miles driven since the .25 stays constant but the amount of miles you drive in a month is different every month, Hence, needs to be a variable that can be adjusted,
Answer:
Marie ran at a faster rate. It takes 27 minutes for Lisa to run 15 laps while it takes Marie 26.25 minutes to run 15 laps.
Step-by-step explanation:
18 ÷ 10 = 1.8 (Lisa's rate)
14 ÷ 8 = 1.75 (Marie's rate)
1.8 x 15 = 27 minutes (How long it takes for Lisa to run 15 laps)
1.75 x 15 = 26.25 (How long it takes for Marie to run 15 laps)
Answer:
36
Step-by-step explanation:
(-6)² = (-6) × (-6)
= +36
Answer:
f(x) = P(X≤4) = 4Cx * 0.0005^x * 0.9995^(4-x)
Step-by-step explanation:
Given
The range of values is given as {0,1,2,3,4}
Because any computer can fail.
Given that the failure of the computers are independent and
The probability of failure is given as 0.0005.
Cumulative Distribution Function is the the probability that a random variable is less than or equal to a specific value
So, we'll take the binomial effect into consideration.
It is given as
f(x) = P(X ≤ x) = 4Cx * 0.0005^x * (1 - 0.0005)^(4 - x)
f(x) = P(X≤4) = 4Cx * 0.0005^x * 0.9995^(4-x)