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egoroff_w [7]
3 years ago
11

During her lunch hour, Shawna asked 40 students how many after-school clubs they joined. The list below shows the number of club

s that the students joined.
2, 2, 3, 0, 3, 2, 4, 2, 1, 4, 3, 2, 4, 1, 0, 2, 1, 3, 2, 0,
1, 1, 2, 1, 0, 3, 0, 1, 4, 1, 1, 0, 2, 3, 2, 0, 3, 2, 0, 1

If this sample is representative of the student population of 360 students, about how many students in the school joined three clubs?
A. 15 students
B. 63 students
C. 109 students
D. 189 students
Mathematics
2 answers:
bulgar [2K]3 years ago
5 0

Answer:

63 not 36 lol the answers B

Step-by-step explanation:


Fudgin [204]3 years ago
4 0

Answer:

B. 63 students

Step-by-step explanation:

Total number of students=360

number of students Shawna asked=40

which is equal to 1/9 of the total population.

The number of clubs that the students joined are:

2, 2, 3, 0, 3, 2, 4, 2, 1, 4, 3, 2, 4, 1, 0, 2, 1, 3, 2, 0,  1, 1, 2, 1, 0, 3, 0, 1, 4, 1, 1, 0, 2, 3, 2, 0, 3, 2, 0, 1

Hence, number of students who joined 3 clubs out of 40=7

We are given that this sample is representative of the student population of 360 students.

Hence, total number of students who joined 3 clubs= 7×9

                                                                                      =63

Hence, correct option is:

B. 63 students

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omeli [17]

Problem 18

Answers:

~P -> Q: "if it is not fall, then the leaves change colors"

~P -> ~Q: "if it is not fall, then the leaves don't change colors"

P -> ~Q: "If it is fall, then the leaves don't change colors"

Q -> ~P: "If the leaves change colors, then it is not fall"

----------

Explanation:

Simply replace each letter with the corresponding definition. We replace each P with "it is fall" and each ~P with "it is not fall". The squiggly line means "not". The same idea applies with Q and ~Q.

==========================================

Problem 19

Answer: Choice A) 134

----------

Explanation:

AB = CD

8x = 4x+24

8x-4x = 24

4x = 24

x = 6

BC = 18x+26

BC = 18*6+26

BC = 134

==========================================

Problem 20

Answer: Choice C) x = 5 and y = 11

----------

Explanation:

(anglePQR)+(angleRQS) = 90

(12x-2)+(6x+2) = 90

18x = 90

x = 5

angle TQU = 90

10y-20 = 90

10y = 110

y = 11

==========================================

Problem 21

Answer:  99

----------

Explanation:

The remote interior angles add to the exterior angle (remote interior angle theorem)

(angle RPQ) + (angle PQR) = angle PRS

(3x-29) + (7x-42) = 6x-3

10x-71 = 6x-3

10x-6x = -3+71

4x = 68

x = 68/4

x = 17

angle PRS = 6x-3

angle PRS = 6*17-3

angle PRS = 99

==========================================

Problem 22

Answer: 116

----------

Explanation:

Refer to the diagram below.

Solve 105+x = 180 to get x = 75

Solve 135+y = 180 to get y = 45

Solve x+y+z = 180 to get z = 60

Solve z+82+p = 180 to get p = 38

Solve p+78+q = 180 to get q = 64

Solve q+r = 180 to get r = 116

==========================================

Problem 23

Answer: B) between 4 and 44 inches

----------

Explanation:

We use a variation of the triangle inequality theorem here.

If p is the missing side length, then

24-20 < p < 24+20

4 < p < 44

So,

4 < XY < 44

The side XY cannot be 4 inches and it cannot be 44 inches either.

==========================================

Problem 24

4 Answers: A, B, C, D

----------

Explanation:

Same idea as problem 23

24-10 < x < 24+10

14 < x < 34

So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26

In other words, only 12 and 34 are non-answers.

==========================================

Problem 25

Answer: C) 84 degrees

----------

Explanation:

The given exterior angle is 152 degrees

Subtract that from 180 to get the adjacent interior angle 180-152 = 28

Now let's find the missing angle of triangle DEB

D+E+B = 180

28+68+B = 180

96+B = 180

B = 180-96

B = 84

This is the measure of angle DBE

This is also the measure of angle ABC because the two angles are vertical angles.

Vertical angles are always congruent.

4 0
3 years ago
Rick has 12 action, 15 comedy, and 9 drama DVDS. find the ratio of action DVDS to the total of DVDS. Then explain its meaning ho
krek1111 [17]
Okay, to find the ratio, add up all the numbers of DVDs. 
You should end up with 36 DVDs.

The question states that you need to find the ratio between the action DVDs and the total amount of DVDs.

The amount of action DVDs is 12.

Now take 32 and 12, the ratio of the action DVDs and the total amount of DVDs to get your ratio.

The ratio is 12 out of 31, or 12:32
8 0
3 years ago
Read 2 more answers
How is the graph of y = 8x2 − 1 different from the graph of y = 8x2?
BlackZzzverrR [31]

Answer:

since it's the lhs we are concerned about, i. e., Y axis, so it must be either up or down. now look at the question, it says 8x2 - (1), it means one lower value of y i. e., 1 unit down

5 0
3 years ago
At a constant temperature, the volume of gas, V, is inversely proportional to its pressure, p. By what percentage will the press
dybincka [34]

Answer:

25 + v maybe

Step-by-step explanation:

7 0
3 years ago
-25/J = 5<br> 16 + s = -90<br> 13 + t = 51<br> r/10 = (-6)<br> a + -12 =45
alexandr1967 [171]

we conclude that the solution for the given algebraic expressions are:

  • J = -5
  • s = -106
  • t = 38
  • r = -60
  • a = 57

<h3>How to solve these algebraic expressions?</h3>

Here we have some simple algebraic expressions:

The first one is:

-25/J = 5

We want to solve this for J.

Remember that we can perform the same operation in both sides of the equation, then we cans tart by multiplying both sides by J.

(-25/J)*J = 5*J

-25 = 5*J

Now we can divide both sides by 5, so we isolate J:

(-25)/5 = (5*J)/5

-5 = J

We conclude that the solution is J = -5.

Now, similarly for the other equations we have that:

16 + s = -90

Here we subtract 16 in both sides:

s = -90 - 16 = -106

13 + t = 51

Here we subtract 13 in both sides:

t = 51 - 13 = 38

r/10 = (-6)

Here we multiply both sides by 10:

r = (-6)*10 = -60

a + (-12) = 45

Here we add 12 in both sides:

a = 45 + 12 = 57

Then we conclude that the solution for the given algebraic expressions are:

  • J = -5
  • s = -106
  • t = 38
  • r = -60
  • a = 57

If you want to learn more about algebraic expressions:

brainly.com/question/4344214

#SPJ1

6 0
2 years ago
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