Answer: The required probability is 0.82.
Step-by-step explanation:
Since we have given that
Number of projects = 3
So, probability of getting each project = 
Probability of first path being completed in 43 days = 0.7
Probability of second path being completed in 43 days = 0.85
Probability of third path being completed in 43 days = 0.90
So, Probability that the project will be completed on time would be

Hence, the required probability is 0.82.
Answer:
Decision: Support the null hypothesis.
Sample mean: -12
Step-by-step explanation:
Hello!
When deciding with a Confidence interval you have to keep in mind that the following conditions are met:
- The hypothesis and the interval are made for the same parameter.
- The hypothesis should be two-tailed.
- The interval and the test have to have complementary confidence and signification levels. This means that if the interval is made with 1 - α= 0.95 the hypothesis test should be made with α= 0.05.
H₀: μ₁ - μ₂= 0
H₁: μ₁ - μ₂≠ 0
α: 0.05
If the interval contains the cero, it means that there is no difference between the means, so you support the null hypothesis.
If the interval doesn't contain the cero, there is a difference between the two means, so you reject the null hypothesis.
The intervals to estimate the population mean have the following structure:
Estimator ± Margin of error
This means that the sample mean (point estimate of the population mean) is in the middle of the calculated interval. To know it's the value you have to do a simple calculation:
sample mean: 
sample mean: 
sample mean: -12
I hope it helps!
The question asks us to find the value of

such that

. First, we subtract

from both sides, which gives us

. Now, we need to express the equation as

and

. When we do this, we get

. After simplifying, we get

. All that's left now is factoring and simplifying, giving us

as an answer. Hope this helped and have a phenomenal day!
Depending on the type of triangle for an acute triangle I'd say b if an right c and if its obtuse d
Answer:
The value of n in this equation is -3/4
Step-by-step explanation:
5 - (n - 4) = 3 (n + 2)
Distribute the negative to (n - 4) and distribute 3 to (n + 2).
5 - n + 4 = 3n + 6
Add 4 to -5.
9 - n = 3n + 6
Subtract 9 from 6.
-n = 3n - 3
Subtract 3n from n.
4n = -3
Divide 4 by -3.
n = -3/4