Mathematics College

A survey conducted with 50 people on the ice cream flavor they like.It was found out that 28 like chocolate,15 like mango,and 20 likes strawberry.Futhermore,8 like chocolate and strawberry,11 like mango and strawberry,7 like chocolate and mango,and 4 people like all the 3 flavors.

Find the number of people who like.

A.Chocolate Only
B.Mango only
C.Strawberry Only
D.Chocolate and strawberry
E.None of the flavors

Answers

Answer 1

Answer:

A. Chocolate Only = 17

B. Mango only = 1

C.Strawberry Only = 5

D.Chocolate and strawberry = 4

E.None of the flavors = 9

Step-by-step explanation:

Kindly check attached picture for detailed explanation

A Survey Conducted With 50 People On The Ice Cream Flavor They Like.It Was Found Out That 28 Like Chocolate,15

Answer 2

A set is a group of related item.

17 like chocolate only1 likes mango only5 like strawberry only4 like chocolate and strawberry only4 like none

Let:

[tex]C \to Chocolate[/tex]

[tex]M \to Mango[/tex]

[tex]S \to Strawberry[/tex]

So, we have:

[tex]C = 28[/tex]

[tex]M = 15[/tex]

[tex]S = 20[/tex]

[tex]n(C\ n\ S) = 8[/tex]

[tex]n(M\ n\ S) = 11[/tex]

[tex]n(C\ n\ M) = 7[/tex]

[tex]All = 4[/tex]

[tex]n(U) = 50[/tex] -- the population

(a) Chocolate only.

This is calculated as:

[tex]C\ only = C - n(C\ n\ S) - n(C\ n\ M) + All[/tex]

So, we have:

[tex]C\ only = 28 - 8 - 7 + 4[/tex]

[tex]C\ only = 17[/tex]

(b) Mango Only

This is calculated as:

[tex]M\ only = M - n(M\ n\ S) - n(C\ n\ M) + All[/tex]

So, we have:

[tex]M\ only = 15 - 11 - 7 + 4[/tex]

[tex]M\ only = 1[/tex]

This is calculated as:

[tex]S\ only = S - n(M\ n\ S) - n(C\ n\ S) + All[/tex]

So, we have:

[tex]S\ only = 20 - 11 - 8 + 4[/tex]

[tex]S\ only = 5[/tex]

(d) Chocolate and strawberry

This has already been given as:

[tex]n(C\ n\ S)\ only=n(C\ n\ S) - All[/tex]

[tex]n(C\ n\ S)\ only=8 - 4[/tex]

[tex]n(C\ n\ S)\ only = 4[/tex]

(e) None

See attachment for the Venn diagram that represents the set

Subtract the sum of all the numbers in the Venn diagram from the total (50)

[tex]None = 50 - (17 + 1 + 5 + 4 + 4 + 7 + 3)[/tex]

[tex]None = 9[/tex]

Related Questions

you have $53 in your bank account. you deposit $127. then you withdraw $40 . how much money is in your account now?

Answers

$53 + $127 - $40 = $140

Answer:

Step-by-step explanation:

53+127=180 so $180 total

180-40=140

$140

A ratio that compares a quantity to 100 is a/an....
Group of answer choices

1.Rate

2.Percent

3.Equivalent Ratio

Answers

Answer: percent

Step-by-step explanation: 1 out of 100 is 1%

If 8 is an angle in standard position and its terminal side passes through the point (21,20), find the exact value of cos 0 in simplest radical form.

Answers

Answer:

so x = 20 , y = -21 , which is in quad IV

r^2= 400+441 = 841

r = √841 = 29

then cos Ø = 20/29

sec Ø = 29/20 = 1.45

please mark me as the brainliest answer and please follow me for more answers to your questions.

The exact value of cos [tex]\theta[/tex] is 21/29.

What is Trigonometry?

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have, point (21, 20)

So, Adjacent side= 21 and opposite side= 20

Using Pythagoras theorem

H= √ 21² + 20²

H= √441 + 400

H= √841

H= 29 unit

So, the trigonometric ratio

cos [tex]\theta[/tex] = Adjacent side/ H

cos [tex]\theta[/tex] = 21/29

Thus, the exact value of cos [tex]\theta[/tex] is 21/29.

Learn more about trigonometry here:

https://brainly.com/question/29002217

#SPJ2

Millie lives in home valued at $195,000 and her mortgage is $160,000. She has $3200 in her saving accounts. What is her net worth?

Answers

685,000

Step-by-step explanation:

195000

160000

3200

685000

Find the value of x

Answers

Answer:

x° = 123

Step-by-step explanation:

this triangle is isoceles so it has 2 congruent angles.

let y be the second angle

the sum of a triangle's angle is 180°

[tex]180 = 66 + y + y \\180 = 66 + 2y[/tex]

add [tex]-66[/tex] to both sides

[tex]180 - 66 = 2y + 66 - 66 \\114 = 2y[/tex]

divide both sides by 2

[tex]\frac{114}{2} = \frac{2y}{2}[/tex]

[tex]57 = y[/tex]

we khow that [tex]x + y = 180[/tex]

[tex]x + y = 180 \\x + 57 = 180[/tex]

add -57 to both sides

[tex]x + 57 - 57 = 180 - 57 \\x = 123[/tex]

simply 4x+6=6(x+1)-2x

Answers

Answer:

Many solutions

Step-by-step explanation:

First, you distribute the 6 into the parenthesis:

4x+6=6(x+1)-2x

4x+6=6x+6-2x

4x+6=4x+6

subtract 6 from both sides

4x=4x

All real numbers can be the solution

Hope this helps!

Plz name brainliest if possible!

|5.9| + |-22|
Hope you can answer

Answers

27.9

the lines on the outside are absolute value bars meaning anything on the inside is positive. making |5.9| = 5.9 and |-22|= 22.
5.9+22= 27.9

hope this helps :’)

Answer:

27.9

Explanation:

As you can see they both have an absolute value because they are both in between the 2 lines. So you have to change both of them into a positive number. You would get 5.9+22 which would equal 27.9

As a sales person, you earn $200 plus two sevenths of your sales. What dollar amount of sales do you need this week to $500?

Answers

Answer:

You need $1050 worth of sales to make $500 this week.

Step-by-step explanation:

First make an equation,

The equation would be [tex]\frac{2}{7} s +200 = 500[/tex]

S is your sales

Second, solve the equation

minus 200 from 500

multiply 300 with the reciporcal of 2/7

Third, you should have the answer now.

s = 1050

help please! i appreciate it

Answers

Answer:- 1) there are three terms

2) 3,4,1

The total height of a 1-foot tall birdbath if it’s placed on a base that is b feet tall- put into an expression

Answers

iTS C THANK MEH LATER BAIIII

The sum of 4 consecutive integers is 78. What are the 4 integers?

Help please

Answers

Answer:19,20,21 and 22

Step-by-step explanation: if this is for a test your welcome bud.

Find the equation of the line in slope intercept form parallel to 5x−5y=−2 and goes through the point (−10,4) y=?

Answers

Answer:

y = x + 14

Step-by-step explanation:

given

5x−5y=−2, we'll rearrange this into slope - intercept form

5x + 2 = 5y

5y = 5x + 2 (divide both sides by 5)

y = x + (2/5)

recall that the general equation of the slope-intercept form of a linear equation:

y = mx + b, the value of m represents the slope of the line

in our case, comparing the above equations, it is clear that the slope m = 1.

We are given that our line is parallel to the above line, hence it will also have a slope of 1.

if we substitute m = 1 into the general equation, we will get

y = x + b

in order to find the value of b, we will substitute the given point (-10,4) into the equation:

4 = -10 + b (add 10 to both sides)

b = 4 + 10

b = 14

hence our equation is y = x + 14

Find the LCM 6 and 12

Answers

the answer to your question is 12

4. What is the least common denominator of: *

7
12
and
5
6

Answers

Answer:

Step-by-step explanation:

LCM of 7/12 and 5/6

12: 12, 24

6: 6, 12

LCM: 12

Other Questions

was their a proclamation after the sugar act? The three methods of reproduction are: Which characteristics are used to differentiate among the six kingdoms? CONVERT TO STANDARD FORM 7.43 x 10^5 CONVERT TO SCIENTIFIC NOTATION 1,200,000,000 What is Communication? I need helppp pleaseee Why did Allied forces find so much destruction when they finally reached Germany?German troops had destroyed the country to prevent the Allies from finding supplies.German civilians had been rioting to protest the war and the actions of the Nazi regime.German cities and factories had been destroyed by the many battles between ground troops.German cities and factories had been destroyed by an ongoing Allied bombing campaign. Jason wanted to find out how he could increase the number of popcorn kernels that pop when cooked. He hypothesized that more kernels would pop if he used more oil. To test this, he placed 100 kernels of Pop Rite popcorn into a popcorn popper that contained different amounts of oil. He used the following amounts of oil: 5 mL, 10 mL, 15 mL, 20 mL, and 25 mL He conducted the test 3 times for each amount of oil. He then counted the number of kernels that had popped. Each time he heated the oil for 2 minutes and cooked the popcorn for 4 minutes. NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Please put in your own words or else my teacher will fail me :( Fractions, help please! help please! i appreciate it wheres the art ???????????????? Helen recorded the following data about the half-life of a radioisotope. Radioactive Decay of Radioisotope A Grams of Radioactive Material Remaining Time (in billions of years) 200 0 100 1 50 2 25 3 12.5 4 6.25 5 Which of the following types of graphs could Helen use to best organize her data? A. bar graph B. line graph C. histogram D. circle graph If 8 is an angle in standard position and its terminal side passes through the point (21,20), find the exact value of cos 0 in simplest radical form. Plz help i need this The great compromise solved the issues of representation between the small states and the larger states T or F? which countries became colonial allies during the american revolution Find the value of x Houston, Austin and San Antonio are all located in which region?Great PlainsCoastal PlainsNorth Central PlainsO Mountains and Basins Which principle(s) of the celltheory shows that all organismsare somehow similar?