Given choices:
(1) division property of equality
(2) factoring the binomial
(3)completing the square
(4)subtraction property of equality
Answer : (2) factoring the binomial
Step 1:
Step 2:
In step 2, 'a' is taken out from . when we take out 'a' we divide each term by 'a'. so it becomes
'a' is factored out in step 2. we call it as factoring a binomial.
Answer:
37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this problem, we have that:
What is the probability that randomly selected homework will require between 8 and 12 minutes to grade?
This is the pvalue of Z when X = 12 subtracted by the pvalue of Z when X = 8. So
X = 12
has a pvalue of 0.4052
X = 8
has a pvalue of 0.0329
0.4052 - 0.0329 = 0.3723
37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade
Answer:
<em>The amount of animal feed left was 86.4 kilograms.</em>
Step-by-step explanation:
Initial amount of animal feed in the barn was 96 kilograms.
The barn leaked and of the feed was wasted.
So, <u>the amount of feed wasted</u> kilograms.
<em>Now, for finding the amount of feed that was left, we need to subtract the amount of wasted feed from the initial amount of feed.</em>
So, the amount of animal feed left