there are 30 students in a class. of those, 15 take history, 18 take geography, and 5 take neither of
these subjects. how many students
take both subjects?
.
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.
What is a set?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,
Total students, n(S)=30Students who take History, n(H)=15Students who take Geography, n(G)=18Students who take neither of the subject, n(H' ∪ G') =5Now, 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.
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The Hu family goes out for lunch, and the price of the meal is $52. The sales tax on the meal is 7%, and the family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?
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 $
Dentro de 15 años la edad de Carlos será el doble de la edad de Ana. Hace 6 años la edad de Carlos era el triple de la de Ana. Calcular la suma de sus edades y dar como respuesta la suma de cifras de este resultado
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
Which expression is equivalent to 16x4 – 64? and explain the answer plzz
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:
Find the value of x in the figure shown.
Answer:
x= 17
Step-by-step explanation:
Assuming that the total degree of this side is also 90, we'll subtract 90 with 39.
90 - 39= 51
since x is 3 times the total degree, we'll divide 51 by 3, leaving us with 17.
Help please! i don't understand what the questoin is asking me to put
Answer:
Bx72
Step-by-step explanation:
Hope this helps
Answer:
it is asking what name of this solution is and how to solve it
Step-by-step explanation:
help anyone?? need to get this done
Find the missing value for the parallelogram
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:
A rectangular rug feet long and wide feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20
Complete Question
A rectangular rug feet is x ft long and y feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20. Fill in the blanks to complete the sentence. The Area of the rug is greater than___but less than__.
Answer:
he Area of the rug is greater than but less than [tex]441ft[/tex]
Step-by-step explanation:
From the question we are told that:
Perimeter [tex]P=60ft[/tex]
Value Range:Between 10-20
Generally the Area of the rug is greater than for values of X and Y greater than 9
Therefore Area is greater than from whole number 9
Generally the equation for Area greater than [tex]A_g[/tex] is mathematically given by
[tex]A_l=X*Y[/tex]
Where
[tex]X=9\\Y=9[/tex]
Therefore
[tex]A_l=X*Y[/tex]
[tex]A_l=9*9[/tex]
[tex]A_l=81ft[/tex]
Generally the Area of the rug is less than for values of X and Y less than 21
Therefore Area is less than from whole number 21
Generally the equation for Area greater than A_l is mathematically given by
[tex]A_g=X*Y[/tex]
Where
[tex]X=21\\Y=21[/tex]
Therefore
[tex]A_g=X*Y[/tex]
[tex]A_g=21*21[/tex]
[tex]A_g=441ft[/tex]
Which of the following rational functions is graphed below?
the answer is
C.IN MY OPINION HOPE IT HELPEDsomeone please answer this and dont just take my points and run without giving me the answer
Answer:
So the answer is v=112 sa=165
Step-by-step explanation:
Try using formulas such as 1
4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4
and
A=12bh
Answer: v=112 sa=165
Step-by-step explanation: I took your points and now I'm running away ._.
Which point has coordinates (-5, -5) ?
Please help ASAP!! I will give 20 points !! for correct answer
Answer:
Your answer is S
Step-by-step explanation:
You move 5 to the left on the X axis, side to side.
Then you move 5 down on the Y axis, up and down.
Declan says that any number n, the product 4 times n is greater than 4. Which value of n shows why declan is incorrect
Answer: [tex]n>1[/tex]
Step-by-step explanation:
Given
The product of 4 times n is greater than 4 i.e.
[tex]\Rightarrow 4\times n>4\\\text{Dividing both side of inequality by 4}\\\\\Rightarrow \dfrac{4n}{4}>\dfrac{4}{4}\\\\\Rightarrow n>1[/tex]
It can be said that the value of n must be greater than 1.
7. Jeremiah is going to the local arcade with $32 in his wallet to spend. He plans to bowl one game and play some arcade games. A game of bowling costs $11, the bowling shoe rental is $3.75, and the arcade games cost $0.75 each. Write and solve an inequality to find the number of arcade games Jeremiah can play.
Answer:
x < 25
Step-by-step explanation:
ayee
will give brainlyist if quick Which of the equations is graphed below?
Answer:
c
Step-by-step explanation:
Use a calculator to find the value of these data. Round the value to three
decimal places.
A-0.953
B. -1.909
C. 0.909
D. 0.953
The value of coefficient of correlation coefficient is -0.953 which is a negative correlation between x and y option (A) is correct.
What is correlation?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.
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8
IS THE FOLLOWING
EQUATION
LINEAR OR
NONLINEAR?
y = 4 + x2
Solve for x. Rolind to the nearest hundredth.
when you see the word expect you will
Answer:
Um, yes? No clue what you're asking.
Answer:
could you try to rephrase that question? I don't think I understand it.
Can someone help me ASAP
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
A circle has a circumference of 10 feet. What is the
diameter?
An experiment consists of spinning the spinners shown and adding the numbers together. Complete the array.
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]
hey! i’ll give brainliest please help.
Answer:
shah
:) hope this helps!
Which best compares the phases of matter to marbles in a tray? A solid is like the tray being shaken and the marbles moving around it, and a liquid is like the tray being shaken slowly and all the marbles moving in their positions. A solid is like the tray being shaken slowly and all the marbles moving in their positions, a liquid is like the tray being shaken and the marbles moving around it, and a gas is like the tray being shaken hard and the marbles moving vigorously around it. A gas is like the tray being shaken slowly and all the marbles moving in their positions, and a solid is like the tray being shaken hard and the marbles moving vigorously around it. A liquid is like the tray being shaken hard and the marbles moving vigorously around it, and a gas is like the tray being shaken slowly and all the marbles moving in their positions.
Answer:
A solid is like the tray being shaken slowly and all the marbles moving in their positions, a liquid is like the tray being shaken and the marbles moving around it, and a gas is like the tray being shaken hard and the marbles moving vigorously around it.
Step-by-step explanation:
In science, matter can be defined as anything that has mass and occupies space. Any physical object that is found on earth is typically composed of matter. Matter are known to be made up of atoms and as a result has the property of existing in states.
Generally, matter exists in three (3) distinct or classical phases and these are;
1. Solid: it is the state of matter in which the physical substance has a definite shape and fixed volume but not compressible. Examples of solids are pen, screwdriver, television, car etc.
2. Liquid: it is the state of matter in which the physical substance can be poured and it takes the shape of its container. Also, liquids generally have a definite volume. Examples of liquids are urine, water, milk, blood etc.
3. Gas: it is the state of matter in which the physical substance has no definite shape or volume and as a result fills all available space. Also, gases are easily compressible and can flow. Examples of gases are hydrogen, oxygen, argon, nitrogen etc.
Hence, the statement which best compares the various phase of matter to marbles in a tray is that,
a. All the marbles which are solid move in their positions when the tray is shaken slowly.
b. When the tray is being shaken and the marbles moves around it, this represents a liquid.
c. When the marbles move vigorously around the tray as it's being shaken quickly, this represents the a gas or gaseous state.
Answer:
it's B.
A solid is like the tray being shaken slowly and all the marbles moving in their positions, a liquid is like the tray being shaken and the marbles moving around it, and a gas is like the tray being shaken hard and the marbles moving vigorously around it.
Plssss help SUNDAY HOMEWORKKKKKKKKKKKK
Answer:
already did
Step-by-step explanation:
You roll a standard number cube 36 times, how many times can you expect to roll an odd number?
Answer:
18 times
Step-by-step explanation:
Half of the possibilities you can roll are correct. so 18 out of 36 times you roll an odd number.
You could also look at it another way. You can expect to roll each number 6 times, so the 3 odd numbers added together is 18 times.
HELPPPPPPPPPPP
Find the volume of the cone.
Either enter an exact answer in terms of
π
πpi or use
3.14
πpi and round your final answer to the nearest hundredth.
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
Dave rolled a number cube 10 times and recorded the frequency of each result in this table. According to the table, what is the experimental probability in simplest form that the number cube shows 6? A.1/10 B.1/6 C. 3/10 D. 1/2
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.
What is probability ?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.
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A soup recipe calls for cup of cheese, cup of milk, and 4 potatoes. The recipe serves 2 people,
What is the correct amount of cheese, milk, and potatoes needed to serve 5 people using this soup recipe?
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
hello please help i’ll give brainliest:)
Answer:
Its is 85
Step-by-step explanation:
It is 85 because you need to see out of all of those numbers which one is one is in the middle so just mark one number from each side untill you get to the middle number!