Using the normal distribution, it is found that 62.46% of students would be expected to score between 350 and 550.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It 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, which is the percentile of X.
In this problem, the mean and the standard deviation are respectively, given by: 
The proportion of students that would be expected to score between 350 and 550 is the <u>p-value of Z when X = 550 subtracted by the p-value of Z when X = 350</u>, hence:
X = 550:
has a p-value of 0.8729.
X = 350:
has a p-value of 0.2483.
0.8729 - 0.2483 = 0.6246
62.46% of students would be expected to score between 350 and 550.
More can be learned about the normal distribution at brainly.com/question/24663213
Answer:
B
Step-by-step explanation:
If you take a lokk at the picture I used an online algebra calculator to check my answer against to gurantee the corectness of my answer for you.
18 : 3 = 6 : 1
Solution:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 18 and 3 is 3
Divide both terms by the GCF, 3:
18 ÷ 3 = 6
3 ÷ 3 = 1
The ratio 18 : 3 can be reduced to lowest terms by dividing both terms by the GCF = 3 :
18 : 3 = 6 : 1
Therefore:
18 : 3 = 6 : 1
Without knowing exactly what
is, this is impossible to do. So let's assume
. Then the line integral over the given rectangle will correspond to the "signed" perimeter of the region.
You don't specify that the loop is complete, so in fact the integral will only give the "signed" length of three sides.
Parameterize the region by first partitioning the contour into three sub-contours:
where
for each sub-contour. Then the line integral is given by
with
. You have
Then the integral over the entire contour would be
. Note that if the loop is complete, then the last leg of the contour would evaluate to -5, and so the total would end up as 0. This result would also follow from the fact that
is conservative, i.e.
for some scalar field
, and so the line integral is path independent. Its value would depend only on the endpoints of the contour, which in the case of a closed loop would simply be 0.
Using the included information, you'd set up an equation:
28=2x Divide both sides by 2:
14=x
