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 
What is the probability of completing the project over 20 days?
This is the p-value of Z when X = 20, so:
has a p-value of 0.1151.
0.1151 = 11.51% probability of completing the project over 20 days.
Answer:
it's estimated that 750 students in the whole school dislike the 8:30am start time.
Step-by-step explanation:
Since 30 of the 40 students said "no", it means 30/40, or 3/4 of the random sample disliked the 8:30am start time. Multiply this by the whole population: 1,000 × (3/4) = 750.
Another way to check this is using 10/40 = .25 and doing 1000x.25 = 250 (the amount of students who liked it). Then subtract from whole population and it's 750.
Answer:
Step-by-step explanation:
i don't know i'm just kiding i know but i'm not giving you the answers
(12x^4 + 17x^3 + 8x - 40) ÷ (x + 2)
<span> =<span><span><span><span><span><span><span>12<span>x^4</span></span>+<span>17<span>x^3</span></span></span>+<span>8x</span></span>−40 / </span><span>x+2</span></span></span></span></span><span> =<span><span><span><span><span>(<span>x+2</span>)</span><span>(<span><span><span><span>12<span>x^3</span></span>−<span>7<span>x^2</span></span></span>+<span>14x</span></span>−20</span>) / </span></span><span>x+2</span></span></span></span></span><span> =<span><span><span><span>12<span>x^3</span></span>−<span>7<span>x^2</span></span></span>+<span>14x</span></span>−<span>20</span></span></span>
The questions seems to be lacking some information. By rate I'm going to assume position and in that scenario the answer would be B because the position function is modeled by a linear function.
