I need help ASAP , so what’s the answer

Mathematics

1 answer:

aivan3 [116]3 years ago

6 0

The answer would be A.) 1

To find this answer you solve for x. Subtract 3/2 from both sides. This will give you 1/2x = 1/2^x. Then, divide by 1/2 on both sides to get x = 1.

To check this fill in x with 1. Then solve.

1/2 * 1/1 + 3/2 = 2^1
1/2 + 3/2 = 2
4/2 = 2
2 = 2

Thus making 1 the answer. Here's an image to show how I got this. I hope this helps!

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shutvik [7]

Answer:

The probability is 0.503

Step-by-step explanation:

If the ghost appearances occur in the house according to a Poisson process with mean m, the time between appearances follows a exponential distribution with mean 1/m. so, the probability that the next ghost appearance happens before x hours is equal to:

$P(X\leq x)=1-e^{-xm}$

Then, replacing m by 1.4 ghosts per hour we get:

$P(X\leq x)=1-e^{-1.4x}$

Additionally, The exponential distribution have a memoryless property, so if it is now 1:00 p.m. and we want the probability that ghost appear before 1:30 p.m., we need to find the difference in hours from 1:00 p.m and 1:30 p.m. no matter that the last ghost appearance was at 12:35 p.m.

Therefore, there are 0.5 hours between 1:00 p.m. and 1:30 p.m, so the probability that the 7th ghost will appear before 1:30 p.m is calculated as:

$P(x\leq 0.5)=1-e^{-1.4*0.5} =0.503$