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forsale [732]
4 years ago
14

17. Only tenth-, eleventh-, and twelfth-grade students

Mathematics
1 answer:
Tom [10]4 years ago
4 0

Answer: Eleventh Grade

Step-by-step

The ratio of tenth graders to the school's total population is 86:255 = 33.7%.

The ratio of eleventh graders to the school's total population is 18:51 = 35.3%.

Since the probability of a student being in either tenth, eleventh, or twelfth grade = 1 = 100% (that is, certainty), then the probability of a randomly drawn student being in twelfth grade is (100-33.7-35.3)% = 31.0%.

When randomly choosing one student from the whole school, it is most likely (35.3%) that the student is in the eleventh grade.

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Find the surface area of the right triangular prism (above) using its net (below).
lakkis [162]

Answer:

144 units²

Step-by-step explanation:

The net of the right triangular prism consists of 3 rectangles and 2 equal triangles

Let's solve for the area of each:

✔️Area of rectangle 1 = L*W

L = 11

W = 3

Area of rectangle 1 = 11*3 = 33 units²

✔️Area of rectangle 2 = L*W

L = 11

W = 4

Area of rectangle 2 = 11*4 = 44 units²

✔️Area of rectangle 3 = L*W

L = 11

W = 5

Area of rectangle 3 = 11*5 = 55 units²

✔️Area of the two triangles = 2(½*base*height)

base = 4

height = 3

Area of the two traingles = 2(½*4*3)

= 12 units²

✔️Surface area of the right triangle = area of rectangle 1 + area of rectangle 2 + area of rectangle 3 + area of the two triangles

= 33 + 44 + 55 + 12

= 144 units²

7 0
3 years ago
Which letter labels a vertex?<br><br> A only<br> B<br> C<br> A and D
vladimir1956 [14]

Answer:

the answer is <u>C</u>.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The following uses a 4-step proof, starting with the given statement. Complete the following proof
AlladinOne [14]

1) \overline{JK} \perp \overline{MN}

2) \angle JKM is a right angle (perpendicular lines form right angles)

3) \triangle JKM is a right triangle (definition of a right triangle)

4) \angle 1 and \angle 2 are complementary (the acute angles of a right triangle are complementary)

8 0
2 years ago
Solve the equation for n and show your work. -3n + 48 = 0
MrRissso [65]
-3n+48=0
-3n=-48
-3n/-3 & -48/-3
n=16
7 0
3 years ago
1~ A quick. rough estimate of the time required for money to double can be obtained by dividing which ofthe following numbers by
dem82 [27]

Answer:

B. 72

Step-by-step explanation:

The rule of 72 is used as a rough estimate of the number of years required for an investment to double.

According to this rule, the number of years 'n' necessary to double an investment at an annual rate 'r' is:

n=\frac{72}{r}

Therefore, the number that when divided by the interest rate gives the number of years required to double an investment is 72.

The answer is B. 72.

6 0
3 years ago
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