Answer:
The probability that her internet service will not be broken for five days in a row is 243/1024
Step-by-step explanation:
Here, we want to calculate the probability that her internet service is not broken for five days in a row
Let the event that her internet will be broken be B and the event that her internet will not be broken be N
P(B ) = 25% = 0.25
P(N) = 1-0.25 = 0.75 = 3/4
Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)
= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024
With this question for algebra
Answer:
z = -3.73
Probability = P(z<-3.73) = 9.48761E.05
Step-by-step explanation:
Detailed explanation is given in the attached document.
The probability that the project will take more than 30 days to complete can be found using the NORMSDIST() function in Excel, and it depends on the z-score associated with the project's completion time distribution.
To find the probability that a project will take more than 30 days to complete using the normal distribution, you'll need to follow these steps:
1. Calculate the z-score for 30 days using the formula:
Z = (X - μ) / σ
Where:
- X is the value you're interested in (30 days in this case).
- μ is the mean completion time (expected completion time).
- σ is the standard deviation of completion times.
2. Once you have the z-score, use Excel's NORMSDIST() function to find the probability associated with that z-score.
Here's a hypothetical example of how to do this:
Let's say the expected completion time (mean) for the project is 25 days, and you have a standard deviation (σ) of 5 days. Now, calculate the z-score:
Z = (30 - 25) / 5
Z = 1
Now, use Excel's NORMSDIST() function to find the probability associated with a z-score of 1:
`=1 - NORMSDIST(1)`
This formula will give you the probability that the project will take more than 30 days to complete.
Make sure to replace the mean (25) and standard deviation (5) in the formula with the actual values from your project data. Additionally, round the z-score to two decimal places and the final answer to four decimal places, as requested in your question.
Learn more about Probability here:
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To represent a gain of 3 yards, we can use the integer +3.
To represent a gain of 3 yards, we can use the integer +3. In mathematics, when we refer to a gain or increase, we use a positive sign (+) in front of the number. So, in this case, the integer +3 represents a gain of 3 yards.
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7. g(3) = 42
8. f(6) = - 124
9. g(15) = 3
10. h(-3) = 1/8
7. g(x) = 4x² + 6
g(3) = 4×3² + 6
= 4×9 + 6
= 36 + 6
= 42
8. f(x) = - 3x² - 4x + 8
f(6) = - 3×6² - 4×6 + 8
= - 3×36 - 24 + 8
= - 108 -16
= - 124
9. g(x) = √(x - 6)
g(15) = √(15 - 6)
= √9
= 3
10. h(x) = 2ˣ
h(-3) = 2⁻³
= 1/2³
= 1/8