Answer:
1: SSS
2: SAS
3: SSS
4: SSS
5: SAS
6: SSS
Step-by-step explanation:
Omg I wish I could but idk the answer I’ve worked it out 4 times
Answer:
0.1151 = 11.51% probability of completing the project over 20 days.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Expected completion time of the project = 22 days.
Variance of project completion time = 2.77
This means that ![\mu = 22, \sigma = \sqrt{2.77}](https://tex.z-dn.net/?f=%5Cmu%20%3D%2022%2C%20%5Csigma%20%3D%20%5Csqrt%7B2.77%7D)
What is the probability of completing the project over 20 days?
This is the p-value of Z when X = 20, so:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{20 - 22}{\sqrt{2.77}}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B20%20-%2022%7D%7B%5Csqrt%7B2.77%7D%7D)
![Z = -1.2](https://tex.z-dn.net/?f=Z%20%3D%20-1.2)
has a p-value of 0.1151.
0.1151 = 11.51% probability of completing the project over 20 days.
Step-by-step explanation:
Work out 32 as a product of prime factors in index form
First find out the factor for 32
32 can be break into 16 times 2
16 can be break into 8 times 2
8 can be break into 4 times 2
4 can be break into 2 times 2
So, 32 can be written as
![32=2 \cdot 2 \cdot 2 \cdot 2 \cdot 2\\32=2^5](https://tex.z-dn.net/?f=32%3D2%20%5Ccdot%202%20%5Ccdot%202%20%5Ccdot%202%20%5Ccdot%202%5C%5C32%3D2%5E5)
Answer:
The index form of the 32 is
![2^5](https://tex.z-dn.net/?f=2%5E5)
Answer:
A: It has no solution
Step-by-step explanation:
1. 3/4z - 1/4z + 3 = 2/4z + 5
2. 2/4z +3 = 2/4z + 5
3. 3 = 5 (No solution because 3 can never be equal to 5)