Based on the given description above, and the number of guests that is expected to arrive in the family dinner, The minimum number of cupcakes that you will need to bring so that everybody could get at least one cupcake is 23. You should have at least 23 cupcakes. Hope this is the answer that you are looking for. Thanks for posting!
Answer:
your mom
Step-by-step explanation:
Answer:
For first lamp ; The resultant probability is 0.703
For both lamps; The resultant probability is 0.3614
Step-by-step explanation:
Let X be the lifetime hours of two bulbs
X∼exp(1/1400)
f(x)=1/1400e−1/1400x
P(X<x)=1−e−1/1400x
X∼exp(1/1400)
f(x)=1/1400 e−1/1400x
P(X<x)=1−e−1/1400x
The probability that both of the lamp bulbs fail within 1700 hours is calculated below,
P(X≤1700)=1−e−1/1400×1700
=1−e−1.21=0.703
The resultant probability is 0.703
Let Y be a lifetime of another lamp two bulbs
Then the Z = X + Y will follow gamma distribution that is,
X+Y=Z∼gamma(2,1/1400)
2λZ∼
X+Y=Z∼gamma(2,1/1400)
2λZ∼χ2α2
The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,
P(Z≤1700)=P(1/700Z≤1.67)=
P(χ24≤1.67)=0.3614
The resultant probability is 0.3614
Answer:
6.75 × 10^3
Step-by-step explanation:
Move the decimal 3 times to the left so that the resulting number, m = 6.75, is greater than or equal to 1 but less than 10
Since we moved the decimal to the left the exponent n is positive
n = 3
Write in the scientific notation form, m × 10^n
6.75 × 10^3