Answer: z = 280
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable causes an increase in the value of the other variable. Also, a decrease in the value of one variable causes an decrease in the value of the other variable.
The variable z is directly proportional to x. If we introduce a constant of variation, the expression would be
z = kx
When x is 10, z has the value 140. It means that
140 = 10k
k = 140/10
k = 14
The equation becomes
z = 14x
the value of z when x = 20 is
z = 14 × 20
z = 280
Answer: $12.5
Step-by-step explanation:
The $100 Is 100 percent meaning that one percent is $1. Take that and multiply it by 12.5 and get $12.5
Answer:
Step-by-step explanation:
the y- intercept is at -3 so is either
y= x-3 or y=2x -3
the x-intercept is at 2 so when y=0, x must be 2
0= x-3 so x=3
0=2x-3 so 2x=3 and x=3/2
in conclusion none of the equations given are the graphed
FYI the equation for the graphed line is
y= 3/2 x-3
Answer:
a) E(X)=1
b) σ=1
c) P(X>1)=0.368
d) P(2<X<5)=0.128
Step-by-step explanation:
We have X: "the time between two successive arrivals at the drive-up window of a local bank", exponentially distributed with λ = 1.
a) We have to compute the expected time between two successive arrivals.
The expected value for X as it is exponentially distributed is:
b) We have to compute the standard deviation of X.
The standard deviation is calculated as:
c) The probability that X is larger than 1 (P(X>1))
We can express the probability as:
d) The probability that X is between 2 and 5 (P(2<X<5))
700 because if it was 750 it would be closer to 800 but it is under 50
