Jasmine has of a pizza left. She is going to divide the leftovers into 6 equal
pieces. What fraction of the whole pizza will each piece be?

Answer:

n(U)=30

n(H)=15

n(G)=18

n(H ∪ G)'=5

n(H ∪ G)=n(U)-n(H ∪ G)'

             =30-5=25

So ,n(H ∩ G)=n(H)+n(G)-n(H ∪ G)

                    =15+18-25=8

Therefore, 8 students take both subjects.

A set is a mathematical model for a collection of diverse things. The total number of students who who take both History and Geography is 8.

A set is a mathematical model for a collection of diverse things; it comprises elements or members, which can be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.

Given that there are 30 students in a class. of those, 15 take history, 18 take geography, and 5 take neither of these subjects. Therefore, we can write the following values,

Now, the number of students who take at least one of the two subject can be written as,

Students who choose at least one subject

= Total students - Students who take neither of the subject

n(H ∪ G) = n(U) - n(H ∪ G)'

n(H ∪ G) = 30 - 5

              =25

Further, the total number of students who who take both the subjects can be written as,

Students who take both the subjects = Students who take History + Students who take Geography - Students who choose at least one subject

n(H ∩ G) = n(H) + n(G) - n(H ∪ G)

n(H ∩ G) = 15 + 18 - 25

n(H ∩ G) = 8

Hence, the total number of students who who take both History and Geography is 8.

Learn more about Sets here:

https://brainly.com/question/8053622

#SPJ2

Using the product rule, then (A) is the answer.

Answer:

Ana tiene 27 años mientras que Carlos, tiene 69 años

La suma de las edades es: 27+69 = 96

La suma de las cifras de este resultado es 9+6 = 15

Step-by-step explanation:

Vamos a hacer una linea temporal para ubicarnos en tiempo.

AÑO 2021, Ana tiene una edad A mientras que Carlos tiene una edad C

15 años para adelante

AÑO 2036, la edad de Carlos es el doble de la de Ana

C = 2A

Si nos vamos 6 años para atrás

AÑO 2015, la edad de Carlos es el triple de la de Ana

C = 3A

Como de 2015 a 2036 pasan 21 años, podemos plantear que

La edad de Carlos + 21  va a ser 2 veces la edad de Ana, traducido:

C + 21 = 2A, pero en 2015, ya sabemos que la edad de Carlos es el triple de la de Ana, entonces:

3A + 21 = 2A. Si despejamos:

3A - 2A = -21

A = |21|  Ésta es la edad de Ana. (Ponemos valor absoluto porque una edad no puede ir negativa.

Si Ana en 2014 tiene 21 años, Carlos tiene 63 (el triple) por lo que sumamos 6 años y llegamos al presente:

En 2021, Ana tiene 27 años (21+6), mientras que Carlos tiene 69 (63+6). Edades actuales.

Nos corremos 15 años al futuro, por lo que llegamos al año 2036.

Carlos pasa a tener 84 años (69+15) y Ana, 42 (27+15) donde verificamos que la edad de Carlos, es el doble que la de Ana, 84/42 = 2.

Finalmente la suma de las edades es: 27+69 = 96

La suma de las cifras de este resultado es 9+6 = 15

Answer:

y = 85°

z = 35°

x = 60°

Step-by-step explanation:

y) 180 - 120 = 60, therefore:

180 - (35 + 60)

=> y = 85

z)

=> z = 35

x)

180 - (35 + 85)

=> x = 60

Hope this helps!

Answer:

to find y

you find the bottom right angle

which is 180-120 = 60

then you do 60+35 = 95

then 180 -95 because the sum of all angles in a triangle is 180

so the answer is 85 = y

There is a rule where the alternate angles between the parallel lines are identical

if y = 85 that means that the angle next to 35 is 85

same for angle z, if the top right 35, that means that angle z = 35

Now you add 35 + 85 = 120

180 - 120 = 60 = angle x

In summary

x=60

y=85

z=35

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

Answer:

2000 g/L

Step-by-step explanation:

(10.0 g) / (0.005 L) = 2000 g/L

Answer:

√3/2 or 0.886025

Step-by-step explanation:

Answer:

153.9 ft²

Step-by-step explanation:

A(Circle) = πr²

⇒ π(7)² ⇒ 49π ≈ 153.9 ft²

Answer:

47.0

Step-by-step explanation:

A=L^2

A=7*7

A=47

47 to the nearest tenth

=47.0

Answer:

already did

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

If you add 22 onto the sum of all the points and divide by the amount of games (6), you get 12.

Answer:

shah

:) hope this helps!

Answer:

4(4x1-16)

Hope this helps

Have a good day :)

PS I disibuted 4 to 4x1 to get 16 and 4 to -16 to get -64

Step-by-step explanation:

The value of coefficient of correlation coefficient is -0.953 which is a negative correlation between x and y option (A) is correct.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

We have given data in the table.

As we know, the formula for the correlation is given by:

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

After plugging the value, we will get the value of r:

r = -0.953

Thus, the value of coefficient of correlation coefficient is -0.953 which is a negative correlation between x and y option (A) is correct.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ1

Answer:

48 cm^2

Step-by-step explanation:

The area of a trapezoid is calculated using the following formula :

(a+b)2*h (a: base, b: base, h: height)

(8+16)/2*4 = 48 cm^2

Answer:

Um, yes? No clue what you're asking.

Answer:

could you try to rephrase that question? I don't think I understand it.

Answer:

V = 18.84 units³

Step-by-step explanation:

The formula for the volume of a cone of base radius r and height h is

V = (1/3)(pi)(r²)(h).

Here, with pi = 3.14, r = 3 and h = 2, we get:

V = 18.84 units³

Answer:

60.04

Step-by-step explanation:

I got the tax amount and tip amount and added them.

Answer:

Step-by-step explanation:

cost of meal=$52

tax=52×7 %=3.64$

tip=52×20%=10.40$

total cost of meal=52+3.64+10.40=66.04 $

Answer:

b is a correct answer

Step-by-step explanation:

that is correct and right answer.

The sequence 3/4, 4/5, 5/6, 6/7, . . . is diverges option (A)  The sequence diverges is correct.

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums get closer and closer to a certain number.

The sequence can be defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

The sequence:

3/4, 4/5, 5/6, 6/7, . . .

AS we know, the convergent sequence occurs when, as n approaches infinity, you arrive at a final and constant term through a number of terms.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

The nth term of the sequence

a(n) = 2+n/3+n

Applying divergence test:

The sequence diverges

Thus, the sequence 3/4, 4/5, 5/6, 6/7, . . . is diverges option (A)  The sequence diverges is correct.

Learn more about the convergent of a series here:

brainly.com/question/15415793

#SPJ2

Answer:

y= 2x-4

Step-by-step explanation:

y-2= 2(x-3)

y-2=2x-6

y= 2x-6+2

y= 2x-4

Answer:

x < 25

Step-by-step explanation:

ayee

Answer:

0.57 PROOOOOOOOOOOOOOOOOOO

Step-by-step explanation:

Answer:

since this question is answered

Step-by-step explanation:

don't mine if I take the points

Answer:

2 1/2 cup cheese

2 1/2 cup milk

10 potatoes

Step-by-step explanation

take half of each and multiply it by 5

Answer:

The y-variable will be eliminated when adding the system of equations.

There is only one solution to the system of equations.

Step-by-step explanation:

-x + 6y = 16 (1)

8x - 6y = -2 (2)

Add the equations to eliminate y

-x + 8x = 16 +(-2)

7x = 16 -2

7x = 14

x = 14/7

x = 2

Substitute x = 2 into (1)

-x + 6y = 16 (1)

-2 + 6y = 16

6y = 16 + 2

6y = 18

y = 18/6

y = 3

(x, y) = (2, 3)

Answer:

B and F

Step-by-step explanation:

Answer:

C is infact correct

Step-by-step explanation:

Give guy above brainly

The experimental probability in simplest form that the number cube shows 6 will be 3/10.

Probability is a branch of mathematics that deals with the occurrence of a random event.

According to the question

Dave rolled a number cube 10 times and recorded the frequency of each result in this table.

From the table it can be seen that the frequency of rolling a 6 is 3 and the probability of the event occuring is 1/6

so ,

The experimental probability in simplest form that the number cube shows 6 will be

= Frequency / No. of times the dice is rolled

= 3/10

The experimental probability in simplest form that the number cube shows 6 will be 3/10.

To know more about Probability

https://brainly.com/question/11234923

#SPJ2

Answer:

D is equivalent to the equation bc you can do additive inverse.

Step-by-step explanation:

22 - 3

You change the symbol to its inverse and the second number to its opposite

22 + (-3)

Answer:

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {2} & {3} & {4} & {5} & {2} & {3} & {4} & {5} & {6} & {3} & {4} & {5} & {6} & {7} & {4} & {5} & {6} & {6} & {8} \ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]Spinner = \{1,2,3,4\}[/tex]

Array:

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {} & { } & { } & {5} & {2} & { } & {} & { } & { } & {3} & {4} & { } & {} & { } & {4} & { } & {6} & { } & {} \ \end{array}[/tex]

Required

Complete the blanks

To do this, we simply add up corresponding row and column elements.

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {} & { } & { } & {5} & {2} & { } & {} & { } & { } & {3} & {4} & { } & {} & { } & {4} & { } & {6} & { } & {} \ \end{array}[/tex]

So, we have:

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {1+1} & {1+2 } & {1+3 } & {4} & {2} & {2+1 } & {2+2} & {2+3 } & {2+4 } & {3} & {4} & {3+2 } & {3+3} & {3+4 } & {4} & {4+1 } & {6} & {4+3 } & {4+4} \ \end{array}[/tex]

Add

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {2} & {3} & {4} & {5} & {2} & {3} & {4} & {5} & {6} & {3} & {4} & {5} & {6} & {7} & {4} & {5} & {6} & {6} & {8} \ \end{array}[/tex]

Answer: 2

Step-by-step explanation: