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))
Answer:
Step-by-step explanation:
The surface area of a cylinder is 2pi *rh + 2pir^2, where r and h are radius and height, respectively. (If you want me to explain this, comment down below). Anyways, we can simply plug in 11 and 8 in the formula, so 2* 8*11*pi + 2* pi * 8^2=304pi. Thus, we do 304 * 3.14=954.56.
9514 1404 393
Answer:
y = 2x -5
Step-by-step explanation:
The parallel line will differ only in the value of c. That can be found using the given point.
y = mx +c
c = y -mx . . . . . . subtract mx to solve for c
c = 1 -2·3 = -5 . . . . . . the value of m is 2 in the given equation (x, y) = (3, 1)
The equation of the parallel line is ...
y = 2x -5
Phil had 2 quarters, 1 dime and 3 pennies = 63 cents
Paul had 2 nickles = 10 cents
Total 63 + 10 = 73 cents
If Paul had 1 cent more than Phil, then Paul would have 37 cents and Phil would have 36 cents
but Paul had 10 cents
10 cents + 27 cents = 37 cents
so
1 quarter and 2 pennies Phil gave to Paul, total 27 cents
Answer
Phi gave Paul 1 quarter and 2 pennies.
Answer:
4 toppings
Step-by-step explanation:
22-12=10
2.50*?=10
2.50*4=10
4 toppings
