100 students were asked to ll out a form with three survey questions, as follows: H: Honor Roll
C: Club membership (Robotics Club or Gaming Club)
D: Double-major
Survey results were as follows:
28 checked H (possibly non-exclusively), 26 checked C (possibly non-exclusively), 14 checked D (possibly non-exclusively)
8 checked H and C (possibly. non-exclusively), 4 checked H and D (possibly. non- exclusively), 3 checked C and D (possibly. non-exclusively)
And 2 checked all three statements.
1. How many students didn't check any of the boxes?
2. How many students checked exactly two boxes?
3. How many students checked at LEAST two boxes?
4. How many students checked the Clubs box only? [d]

Answers

Answer 1

Answer:

1. 45

2. 9

3. 11

4. 17

Step-by-step explanation:

The computation is shown below:

Given  that

28 checked H

26 checked C

14 checked D

8 checked H and C

4 checked H and D

3 checked C and D

2 checked all.

Based on the above information

N(H)=28

N(C) 26

N(D) 14

N(H∪C) = 8

N(H∪D) = 4

[tex]N(C\cup D)=3[/tex]

[tex]N(H\cup C\cup D)=2[/tex]

We know that

[tex]Total=N(H)+N(C)+N(D)-N(H\cup C)-N(H\cup D)-N(C\cup D)+N(H\cup C\cup D)[/tex]

= 28 + 26 + 14 - 8 - 4 - 3 + 2

= 55

1. The students who didnt check any kind of the box is

= 100 - 55

= 45

2) Students who checked exactly two boxes is

[tex]= N(H\cup C)+N(H\cup D)+N(C\cup D)-3N(H\cup C\cup D)[/tex]

= 8 + 4 + 3 - 6

= 9

3) Students who checked a minimum of two boxes

[tex]= N(H\cup C)+N(H\cup D)+N(C\cup D)-2N(H\cup C\cup D)[/tex]

= 8 + 4 + 3 - 4

= 11

4) Given N(C) = 26

Now we have to deduct N(C∪D) and N(H∪C) as it could be checked aside from the club

= 26 - 8 - 3

= 15

Here the [tex]N(H\cup C\cup D)[/tex] could be deducted twice under both categories so it would be added one time to neutralize

= 15 + 2

= 17

.

.


Related Questions

48/8 = 42/x

Please select the best answer from the choices provided.

A: x = 42
B: x = 7
C: x = 8
D: x = 6​

Answers

Answer:

D because 48 ÷ 8 = 6 42 +6 = 7

The best answer from the choices provided,

is x = 7.

The correct option is B.

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

An expression,

48/8 = 42/x

Applying cross multiplication,

x = 42(8)/48

x = 7

Therefore, the value of x is 7.

To learn more about the expression;

brainly.com/question/24242989  

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EASY MATH PLS HELP
For f(x)= 19-5x, what is the value of f(-3)?

Answers

Answer:

f(x)= 19-5(-3)

19+15

f(x)=34

Step-by-step explanation:

Which set of numbers represents the DOMAIN for the following table below?
X -3 4 6 -12
Y 5 -6 2 0

A
{4,5,6,12}

B
{−12,−3,4,6}

C
{−12,3,4,6}

D
{0,5,−6,2}

Answers

Answer:

B. (-12,-3,4,6)

Step-by-step explanation:

The above question is asking the domain

I need help with this !

Answers

The third one because they equal 90

Answer:

the one closer to the right with the 56 and 34

try adding the angle's degree.

Step-by-step explanation:

Best answer gets Brainliest!!!!

Answers

Answer:

no

Step-by-step explanation:

if it was the amount of time would be going up at a constant rate but its not

and your graph is wrong

hope this helps <3

sorry if this is wrong this is a weird question :/

Does this set of ordered pairs represent a function? (-1,5)(0,-3)(2,7)(4,0)(7,5)

Answers

Answer:

No

Step-by-step explanation:

You cant have 2 y values

Answer:

it is indeed a function

Step-by-step explanation:

Four ninths plus one ninth

Answers

Answer:

5/9

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

4/9 + 1/9

To add fractions, you need a common denominator. You already have a common denominator of 9, so just add the numerators.

4/9 + 1/9 = 5/9

Since there is no common factor of 5 and 9 other than 1, the fraction is already reduced.

Answer: 5/9

please help. i have like a bunch of missing assignments

Answers

Answer:

The answer is 11 Units

Answer:

12

Step-by-step explanation:

base*height=6*2

6*2=12

solve for x,y and z, show your work

2x+y 2=-3
y+z=2
-y +z =12

Answers

If u need help, all you do is simply just move the other equations to the other side for which ever letter your solving for

What ordered pair corresponds to point D?
(in pic)
( , ) ?
i’ll give brainiest, don’t answer if you don’t know i need this due in less than 20 mins !!

Answers

Answer:

(2,0)

Step-by-step explanation:

point D is on point (2,0)

that is what it means

Which set of angle measures cannot be the angle measures for a triangle?

Answers

Answer: 60 , 60 , 61

Step-by-step explanation:

If the toss of a coin comes down heads, you win two dollars. If it comes down tails, you lose fifty cents. How much would you expect to gain after 25 tosses (in $ dollars)

Answers

Answer:

$30.00

Step-by-step explanation:

Because if you think about it, about half of them are going to be heads and the other half are going to be tails.

hope this helped

We could expect $30.00 to gain after 25 tosses.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

It is given that If the toss of a coin comes down heads, you win two dollars. If it comes down tails, you lose fifty cents.

We need to find How much would you expect to gain after 25 tosses (in $ dollars).

Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.

Therefore, We could expect $30.00 to gain after 25 tosses.

Learn more about probability here;

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Triangle X Y Z has centroid S. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments X W, Y V, and Z T. The length of line segment T S is 3 m minus 1, the length of line segment S Z is 4 m + 8, and the length of line segment X S is 2 m + 12.
S is the centroid of triangle XYZ.

What is the length of SW?

Answers

Answer:

it is indeed B

Step-by-step explanation:

a few years late but its fine right

The length of SW will be 9.5. Each median will be divided into segments by the centroid at a ratio of 2:1.

What is the triangle?

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

The ratio of the centroid divides each median into segments will be 2:1.

[tex]\rm \frac{SZ}{TS} = \frac{2}{1} \\\\ \frac{4m+8}{3m-1} = \frac{2}{1}\\\\ 4m+8 = 2 (3m-1) \\\\ 4m+8 = 6m -2 \\\\ 2 m = 10 \\\\ m = 5[/tex]

The ratio of the centroid divides each median into segments will be 2:1.

[tex]\rm \frac{XS}{SW} = \frac{2}{1}\\\\ \rm \frac{2 m +12}{SW} = \frac{2}{1}\\\\ SW = \frac{19}{2}\\\\ SW = 9.5[/tex]

Hence the length of SW will be 9.5.

To learn more about the triangle, refer to:

https://brainly.com/question/2773823

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HELP PLEASE!!!!!
Bernite is selling candy bars for a school fundraiser. The school paid $20.00 for a box of 15 king-size candy bars and Bernite sells them for $2.00 each. What is the relationship between the amount of candy sold and the amount of money earned?

The relationship is linear. More than 1 answer



a.) The relationship is non-linear.



b.) The relationship is proportional.



c.) The relationship is non-proportional.



d.) The relationship always results in a positive profit.



e.) The relationship always results in a negative profit.

Answers

Answer:

b

Step-by-step explanation:

C С Ε B Н H D in the image point A is the center of the circle. Which two line segments must be equal in length?​

Answers

Question:

In the image, point A is the center of the circle. Which two line segments must be equal in length?

Answer:

[tex]HI = EF[/tex]

Step-by-step explanation:

See attachment for figure

Required

Which two lines must bet equal

From the diagram, we have the following 4 lines:

BCHIEFAD

However, among the 4 lines, only two lines pass through center A.

These lines are:

HIEF

The length of these two line segments because they both pass through the center and they both represent the diameter of the circle.

Hence,

[tex]HI = EF[/tex]

What is the relationship between the length of one leg and the length of the hypotenuse of an isosceles right triangles?
A) Leg = Hypotenuse ∙ √2
B) Hypotenuse = Leg ∙ √2
C) Leg ∙ Hypotenuse = √2

Answers

Answer:

B) Hypotenuse = Leg ∙ √2

Step-by-step explanation:

This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.

An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.

Normally, the legs are a and b, and the hypotenuse is c, and we have

a^2 + b^2 = c^2

Here the legs are congruent, so we have a = b.

Substituting a for b, we have

a^2 + a^2 = c^2

2a^2 = c^2

c^2 = 2a^2

c = a√2

Answer: B) Hypotenuse = Leg ∙ √2

Answer:

progably B) Hypotenuse = Leg ∙ √2

Step-by-step explanation:

1. The Honda Accord uses 192 gallons of gasoline to travel 6 miles. At this
rate, how many miles can the vehicle travel per gallon of gasoline? *

A1152 miles
B32 miles
C0.031 miles
D198 miles

Answers

your awnser is a because 192x6=1152.

Helpppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

c and e is not polynomials

Which is an equation for the line that contains (-2,5) and has a slope of -7 ?
7x + y = 33
y=-7x+9
y=-7x-33
7y+y=-9

Answers

Answer:

y = -7x - 9

Step-by-step explanation:

The standard from of equation of a line is expressed as;

y = mx+c

m is teh slope = -7

c is the intercept

Get the intercept by substituting m = -7 and the point (-2, 5) into the equation;

y = mx+c

5 = -7(-2) + c

5 = 14 + c

c = 5-14

c = -9

Substitute m = -7 and c = -9 into the expression y = mx+c

y = -7x - 9

Hence the required equation of the line is y = -7x - 9

A club offers me membership for a fee of 20$ plus a monthly fee of 18 b club offers a fee of 14$ and a monthly fee of 20 after how many month will it be the same

Answers

Answer:

wfcfzgcfxfdsdfgfd

Step-by-step explanation:

gfgboy

be The distance an object travels is determined by how fast it goes and for how long it moves. If an object's speed remains constant, the formula is d= r., where d is the distance, ris the speed, and t is the time. a. If you drive at 50 miles per hour for 5 hours, how far will you have traveled? 200 miles b. 10 miles 250 miles d. 300 miles C. Please select the best answer ​

Answers

Answer:

10 miles is answer because u should divide d=r

write an equatiob of line in slope intercept from passing through (-10,-8) and parallel to y=1/5x-3

Answers

Parallel = same slope
Y = 1/5x + b
Plug in point
-8 = 1/5(-10) + b
-8 = -2 + b, b = -6
Equation: y = 1/5x - 6

Mabel has 8 coins, all of which are dimes and pennies. In all, they're worth 35¢. How many of each kind of coin does Mabel have?

Answers

Answer:

5 pennies

3 dimes

Step-by-step explanation:

Answer:

3 dimes and 5 pennies

Step-by-step explanation:

Dimes can only add up to 10s so, it would have to be 3 dimes. Pennies can only add one at a time. So the answer for pennies would be 5. And 5+3=8.

Hope this helps!

Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake. Jacob spent 3 hours and 45 minutes fishing, and it took 1 hour and 15 minutes to hike back. What time was it when Jacob got back to camp?

Include A.M. or P.M. in your answer Please help me fast!!

Answers

Answer:

7:15 A.M. 1 hour and 45 min = 105 min3 hour 45 min= 225 min1 hour and 15 min = 105 min105(2)+ 225= 435 min= 7 hours and 25 min. Add that to the original total you get 14:40 P.M

Check over my math please.

Answers

Answer:

It looks like everything is correct :)

Step-by-step explanation:

what is tax dependent​

Answers

Answer:

A dependent is a person other than the taxpayer or spouse who entitles the taxpayer to claim a dependency exemption. Each dependency exemption decreases income subject to tax by the exemption amount.

Step-by-step explanation:

what is the nth term for
- 2, 7, 22, 43​

Answers

Answer:

3n^2 - 5

Step-by-step explanation:

Find the area of this quadrilateral.

Answers

Answer:

18

Step-by-step explanation:

I just counted and put together pieces that would reasonably make a full square

Find the slope-intercept form between the two points (0,-4) and (-3,-10) * 2 points
Your answer

Answers

Answer:

Y=2x-4

Step-by-step explanation:

If f(x)=(x+1)2+3, what is f(5)?

Answers

9514 1404 393

Answer:

  39

Step-by-step explanation:

Put 5 where x is and do the arithmetic.

  f(5) = (5+1)^2 +3 = 6^2 +3 = 36 +3

  f(5) = 39

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