Answer:
5 students.
Step-by-step explanation:
We have been given that there are 440 students at Thomas Paine high school enrolled in U.S. history. On the April report card, the students’ grades are approximately normally distributed with a mean of 79 and a standard deviation of 7. Students who earn a grade less than or equal to 62.9 must attend summer school.
To find the number of students who must attend summer camp let us find x-score for our given sample score 62.9.
, where,
= Sample score,
= Mean,
= Standard deviation.
Upon substituting our given values in z-score formula we will get,
Now we will use the normal distribution table to find .
Since the probability of a student getting grade less than 62.9 is 0.01072, so we will multiply 0.01072 by the 440 to get the number of students, who must attend summer school for history.
Therefore, 5 students must attend summer school for U.S. history.
B.(-2,-3);maximum. that is the answer
Answer:
A=140m² and P=54m
Step-by-step explanation:
In order to find the perimeter or area, we are going to first need to find the lenghts of the missing sides. There are two of them, we are going to refer to one as the shorter one and the other as the longer one.
Shorter One = 12-8
Shorter One = 4
Longer One = 15-5
Longer One = 10
From this we can then add the side lengths to find the perimeter of the figure.
Perimeter=5+15+12+8+4+10
Perimeter=20+20+14
Perimeter=54
The perimeter of the figure is 54m, therefore we can eliminate two of the answer choices.
Next, we need to find the area of the figure. The easiest way is to cut the figure into two pieces, I chose to do it by cutting a long rectangle, and then add their areas together.
A=(5*12)+(10*8)
A=60+80
A=140
Therefore the correct answer choice is A=140m² and P=54m
Answer: PN= 20 in.
Step-by-step explanation:
Given: In triangles PMN and QSR :
Length of P N ≅ Length of RQ (1) [ '≅' → Sign of congruence]
Length of QS ≅ Length of PM
Length of MN ≅ Length of RS
By SSS congruence rule
ΔPMN ≅ ΔQSR
Since Length of QR =20 in. [Given]
From (1)
Length of PN= 20 in. [Congruent means exactly equal]