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
12 problems = 30 minutes
24 problems = 60 minutes
36 problems= 90 minutes
48 problems = 120 minutes
60 problems = 150 minutes
Mary can respond 60 problems in 2 hours and 30 minutes/ 2 hours and half/ 150 minutes.
Hope this helps xx
Question says that "Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park. To represent that inequality, he wrote: 2.4 + 4p + 2.4 ___ 26.1"
We see a blank space before 26.1.
So we need to fill the suitable inequality symbol from <, >, ≤ and ≥.
In given expression "2.4 + 4p + 2.4 ___ 26.1", left side part "2.4 + 4p + 2.4", represents the total length of the path that Jason wants to cover this week.
He has decided to run more than 26.1 miles so that means the sum "2.4 + 4p + 2.4" must be greater than 26.1 miles.
Hence we will use > symbol so that left side becomes greater than the right side part.
So the final answer will be :
2.4 + 4p + 2.4 > 26.1
Answer:
2550
Step-by-step explanation:
1) So he borrowed 17,000
2) Simple interest is 5%
3) so 0.05 *17000 = 850
4)It takes the manager 3 years so, 850*3=2550
5) so 2550 is the total amount of interest the manager needs to pay
<u>Answer-</u>
<em>The lines are two </em><em>coinciding lines</em><em> or the </em><em>same lines</em><em>.</em>
<u>Solution-</u>
The given line equations are
the first one,
the second one,
As we know two line equations 
and 
will be,
- Parallel if,
- Coincide if,
- Intersect if,
As here,
(C₁ and C₂ aren't considered as they are 0)
Therefore, the lines are two coinciding lines or the same lines.
