Answer:
68.26% probability that the number of jobs finished on time is within 1 standard deviation of the mean.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Looking at a random sample of 8 jobs that it has contracted, find the probability that x (number of jobs finished on time) is within one standard deviation of the mean.
Within 1 standard deviation of the mean is from Z = -1 to Z = 1. So this probability is the pvalue of Z = 1 subtracted by the pvalue of Z = -1.
Z = 1 has a pvalue of 0.8413
Z = -1 has a pvalue of 0.1587
So there is a 0.8413 - 0.1587 = 0.6826 = 68.26% probability that the number of jobs finished on time is within 1 standard deviation of the mean.
7w + 3 = 5w + 9
Step 1:
Get the 3 to the other side by subtracting
7w = 5w + 6
Step 2:
Get the 5w to the other side by subtracting
2w = 6
Step 3
Divide
6/2 = 3
Answer is 3
This is the answer of the equation
Answer:
Out of 450 phones 18 of them will have a defect.
Step-by-step explanation:
As we know that out of 75 phones 3 of them will have a defect, this means that we are able to calculate how many defects there will be from 450 phones. You can do this by first dividing 450 by 75, this gives you 6. This means that 75 will go into 450 6 times.
From this we are able to work out the number that will have defects. This is because we know that 75 goes into 450 6 times and that for each 75 phones there will be 3 defects. So to work out the number of phones out of 450 that would be defects you would simply multiply 3 by 6, this gives you 18. This shows that out of 450 phones 18 of them will have a defect.
1) Divide 450 by 75.
2) Multiply 6 by 3.
Answer:
It can be modeled on an exponential graph
Step-by-step explanation:
Bacteria is <u><em>doubling</em></u> by the minute. This means that if there are 2 bacteria in the first minute, there would be 4 in the second, 8 in the third, 16 in fourth, and so on. This can be modeled using an exponential graph, where a number is constantly increasing by multiplying.
