Answer:
-7
Step-by-step explanation:
We need to find the common difference
Take the second term and subtract the first term
5-8 = -3
Check the third term and subtract the second term
2-5 = -3
The common difference is -3
To find the next term, take the last term and subtract 3
-4-3 = -7
Answer:
m∠ADC = 90°
5x-5 = 90
x = 19
Step-by-step explanation:
Answer:
836 cubic centimeters
Step-by-step explanation:
We need to add together the volumes of the three cubes.
Vcube = s*s*s
<u>Small cube:</u> V = 2^3 = 8
<u>Medium cube:</u> V = 7^3 = 343
<u>Large cube:</u> V = 8^3 = 512
Total volume: 8 + 343 + 512 = <u>836 cubic centimeters</u>
Answer:
a)
Mean 

b)

c)

Step-by-step explanation:
From the given information:
a.)
Mean 

Let consider X to be a random variable that follows an exponential distribution; then:
P(X) = 1 -
since 
b.)
The required probability that a random chosen customer would spend more than $5,000 can be computed as:
![P(X > 5000) = 1 - \bigg [ 1 - e ^{- \dfrac{5000}{1250}} \bigg]](https://tex.z-dn.net/?f=P%28X%20%3E%205000%29%20%3D%201%20%20-%20%5Cbigg%20%5B%201%20-%20e%20%5E%7B-%20%5Cdfrac%7B5000%7D%7B1250%7D%7D%20%20%5Cbigg%5D)


c.)
![P(X > 1250) = 1 - \bigg [ 1 - e ^{- \dfrac{1250}{1250}} \bigg]](https://tex.z-dn.net/?f=P%28X%20%3E%201250%29%20%3D%201%20%20-%20%5Cbigg%20%5B%201%20-%20e%20%5E%7B-%20%5Cdfrac%7B1250%7D%7B1250%7D%7D%20%20%5Cbigg%5D)

