Given:
Either has a school certificate or diploma or even both = 20 people
Having school certificates = 14
Having diplomas = 11
To find:
The number of people who have a school certificate only.
Solution:
Let A be the set of people who have school certificates and B be the set of people who have diplomas.
According to the given information, we have
[tex]n(A)=14[/tex]
[tex]n(B)=11[/tex]
[tex]n(A\cup B)=20[/tex]
We know that,
[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
[tex]20=14+11-n(A\cap B)[/tex]
[tex]20=25-n(A\cap B)[/tex]
Subtract both sides by 25.
[tex]20-25=-n(A\cap B)[/tex]
[tex]-5=-n(A\cap B)[/tex]
[tex]5=n(A\cap B)[/tex]
We need to find the number of people who have a school certificate only, i.e. [tex]n(A\cap B')[/tex].
[tex]n(A\cap B')=n(A)-n(A\cap B)[/tex]
[tex]n(A\cap B')=14-5[/tex]
[tex]n(A\cap B')=9[/tex]
Therefore, 9 people have a school certificate only.
20 POINTS PLS FAST
Which situation could NOT represent a proportional relationship?
A The amount a babysitter who makes $7.50 per hour earns in h hours
B The cost of purchasing p pounds of oranges for $1.35 per pound
C The number of gallons of water in x barrels with 13 gallons of water in each barrell
D The weight in x weeks of a cat that gains 1 pound per week if its starting weight is 4 pounds
Answer:
d
Step-by-step explanation:
i think its d
what is the length of AC
Answer:
16
Step-by-step explanation:
Find the length of the hypotenuse. Round your
answer to the nearest hundredth.
A. 11.00
B. 9.95
C. 8.06
D. 3.32
HELP NOW PLEASE !!!!!
Answer:
C: 8.06
Step-by-step explanation:
c=a^2+b^2=42+72≈8.06226
Answer:
8.06
Step-by-step explanation:
C2= a2+ b2
C2= 7 squared + 4 squared
C2= 49+16
C2=65
C is the square root of c2
square root 65
C= 8.06
c= 8
find the area of the triangle below!!!
Answer:
[tex]104in^{2}[/tex]
Step-by-step explanation:
area of a triangle is just (b)(h)/2
(13)(16)/2
208/2
104 in squared
Answer:
104ft²
Step-by-step explanation:
formula for area of a triangle = [tex]A=\frac{bh}{2}[/tex]
where b = base length and h = height
The triangle shown has a base length of 16 ft and a height of 13 ft
Using this information we plug in the values into the formula
[tex]A=\frac{16*13}{2}\\16*13=208\\\frac{208}{2} =104\\A=104ft^2[/tex]
Hence, the answer is 104ft²
Tom started a stamp collection with 32 stamps each week he added 8 to his collection. Rhea started with 102 stamps each week she gave away 6
Answer:
The total number of stamps that Tom collect at the end of X weeks is
[tex]32 + 8 * X[/tex]
Step-by-step explanation:
Complete question
Tom started a stamp collection with 32 stamps. Each week he added 8 stamps to his collection.
Rhea started her stamp collection with 102 stamps. Each week she gave away 6 stamps.
Write an equation to represent the number of stamps in Tom’s collection based on the number of weeks he has been collecting stamps.
Solution
Let "X" be the number of weeks for which Tom collected the stamps
The number of stamps that Tom had at the time of starting the collection [tex]= 32[/tex]
It is given that he collects 8 stamps per week
So the total number of stamps that Tom collect at the end of X weeks is
[tex]32 + 8 * X[/tex]
The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric. Enter your answer in the boxes
A ski area has a high-speed lift that can move 2,400 skiers to the top of the mountain each hour. Write an expression describing how many skiers can be lifted in ℎ hours. Do not use spaces.
Answer:
2,400h
Step-by-step explanation:
You multiply the amount of skiers per hour (2,400) by the amount of hours (h).
please help I'm so confused
Answer:
It ends on the half circle
Step-by-step explanation:
You are looking at the base of each shape. It starts with a triangle so you go down. Then the base of that is a rectangle so you go down again and so on. Therefore your answer is a half circle.
2y-6=6x how do i find y
Answer:
y=3x+3
Step-by-step explanation:
Let's solve for y.
2y−6=6x
Step 1: Add 6 to both sides.
2y−6+6=6x+6
2y=6x+6
Step 2: Divide both sides by 2.
2y /2 = 6x+6 /2
y=3x+3
brainliest please?Answer:
y=3x+3
Step-by-step explanation:
add 6 to both sides and then divide both sides by 2
Can anyone help me with my homework
Step-by-step explanation:
you need to use pythagorean theorem to solve to do it fast, just take the square root of the two two side squared. that would give you the answer the fastest
The graph shows the daily sales goal of
a coffee shop. If the employees sell
20 cups of coffee, how many cups of tea
must they sell to meet their goal?
Answer:
25 cups of tea
Step-by-step explanation:
On the x-axis, we have the number of cups of coffee plotted against the number of cups of tea which are plotted on the y-axis to represent the daily sales goals.
From the graph, when 20 cups of coffee are sold (x = 20), a corresponding sales of 25 cups of tea (y = 25) would be sold as well to meet the sales goal.
Therefore, when employees sell 20 cups of coffee, 25 cups of tea must be sold to meet their goal.
Which of the following statements are represented by
the correct ratio? Select all that apply.
Choose all that apply:
"There are 4 hamburgers sold for every 3 cheeseburgers sold
in the cafeteria." The ratio of hamburgers sold to
cheeseburgers sold is 4:3.
"There are 20 passing scores for every 25 math tests graded.
The ratio of passing scores to tests graded is 4:5.
"There are 12 pairs of shoes for every 14 pairs of pants in the
clothing store." The ratio of pairs of shoes to pairs of pants is
6.8.
"There are 8 goldfish in the pet store for every 3 guinea pigs."
The ratio of goldfish to guinea pigs is 3.8.
As razões que se aplicam são as seguintes:
“São 4 hambúrgueres
vendidos para cada 3 cheeseburgers vendidos na cafeteria." A proporção de
hambúrgueres vendidos para cheeseburgers vendidos é de 4:3.
"Há 20 notas de aprovação para cada 25 testes de matemática classificados.
A proporção de escores de aprovação para testes classificados é de 4:5."
HELPPP WHAT IS THE ANSWER DONT SENT A FILE PLZ EXPLAIN STEP BY STEP PLZ I DINT HAVE A LOT OF TIME
Answer:
(x+3, y+2)
Step-by-step explanation:
choose a letter: let's use points A and A'
A: (-3, 3)
A': (0, 5)
the rule would be (x+3, y+2) because (-3+3, 3+2) = (0,5)
Try it on another point:
B: (-4, 0)
B': (-4+3, 0+2) = (-1, 2) which checks out!
If 7 apples cost 0.11 each, what is the total cost?
Plzzz put the work step by step so I can copy
Answer:
down below
Step-by-step explanation:
inside of a triangle is 180 degrees
[tex]180=90+5x+2+4x-11\\180=5x+4x+90+2-11\\180=9x+81\\180-81=9x+81-81\\99=9x\\99/9=9x/9\\11=x[/tex]
now that we have our x we can find the angles
[tex]M=90\\\\K=5(11)+2\\K=57\\\\\\L=4(11)-11\\L=33[/tex]
WET TEDDY BEARS, GET YOUR WET TEDDY BEARS
(Liberty Mutual)
Step-by-step explanation:
Hell yes, I'll take 5 please
Answer:
Yes! Wet teddy bears are fire! I'll take 4, pls!
Step-by-step explanation:
for brainiest:):):):):):):):):):):):)
Answer:
P: 15 Area: 8
Step-by-step explanation:
Use the line to split the shape. For P add all the numbers and add a 4 and a 1 too. For the area, you have to multiply 2 by 2 because of the cube, then mulitply 4 by 1 because 2+2=4 and the other number is one. REMEMBER TO SHOW YOUR WORK AND DOUBLE-CHECK!
Write an inequality to represent the real-world problem. Then complete the statements.
Jasmine’s computer cost more than $300.
The variable in the inequality represents
The inequality symbol needed is
The constant is
The inequality that correctly represents the problem is
Answer:Just did the question 2021 edge
Step-by-step explanation:
Which of the following expressions is a factor of 2x2 – 112 + 15?
Answer:
Step-by-step explanation:
where are the expressions?
Find the diameter of a cylinder with a volume of approximately 235.5 inches cubed and a height of 3 in.
Christine worked 27 hours last month and earned $9 per hour. She spent $15 of her earnings since then. How much money does she have left?
Answer:
Step-by-step explanation:
228
HELP ASAP
Find a set of parametric equations for the rectangular equation.
t=7-x
y=1/x
a.x=7+t,y=1/(-t+7)
b.x=t-7,y=-1/(t+7)
c.x=7-t,y=-1/(t-7)
d.x=t-7,y=1/(t+7)
e.7+t,y=1/(t-7)
9514 1404 393
Answer:
c. x = 7-t; y = -1/(t -7)
Step-by-step explanation:
To find the parametric equation for x, use the equation for t and solve for x.
t = 7-x
x = 7 -t . . . . . . add x-t to both sides
__
To find the parametric equation for y, substitute the equation for x.
y = 1/x
y = 1/(7-t)
To make this match the available choices, we need to multiply numerator and denominator by -1.
y = -1/(t -7)
The parametric equations are ...
x = 7 -t; y = -1/(t -7) . . . . . . matches choice C
Answer: it is C
Step-by-step explanation:
Max wants to find our the exercise habits of local children. He plans to survey every third child he sees coming out of sporting goods store. Is this sample biased or unbiased?
NO links or report
Find the area of the figure
Area ___ units^2
Answer:
25 units^2
Step-by-step explanation:
please help ill give brainiest answer
Answer:
1: AAS, RQC 2: ASA, SRP
Step-by-step explanation:
(1) We are shown that two angles and one side are congruent in the order of AAS. Make sure you write the letters in terms of the corresponding angles. The angles and sides are congruent because the problem labels it for us. For example, B,A,C=R,Q,S. Answers: AAS, RQC.
(2) We are shown that two angles and one side are congruent in the order of ASA. Make sure you write the letters in terms of the corresponding angles again. For example, P,Q,R=P,S,R. The angles are congruent because the problem labels it for us. Side PR is congruent to side PR by reflexive property. Answers: ASA, SRP.
I hope this helped :) Good luck
need help, I'm stuck on this
Answer:
The answer is 729/64.
Step-by-step explanation:
I would first simplify the equation.
In the denominator, you can get rid of b^0 because that just equals 1.
For the a's in the numerator and denominator, you have to flip them so the exponents can be positive.
Equation: [tex](\frac{3ab^2}{2a^3})^2[/tex]
Now, you can subtract a and a^3. This would be 1/a^2.
Equation: [tex](\frac{3b^2}{2a^2})^2[/tex]
Now, you can square the whole equation.
Equation: [tex]\frac{9b^4}{4a^4}[/tex]
This is the simplified equation. Now you can plug in -2 and -3.
Equation: [tex]\frac{9(-3)^4}{4(-2)^4}[/tex]
Equation: [tex]\frac{9(81)}{4(16)}[/tex]
Equation: 729/64
Which number is rational?
/2
10
O
16
Answer:
16
Step-by-step explanation:
Square root of 2 is irrational. This has been proven by the Pythagoreans (there is a simple proof of that).
pi is also known to be irrational although the proof is a bit more demanding.
Square root of 10 can be written as a product of square root of 5 and square root of 2, which themselves are irrational. Any product involving an irrational number is irrational
Square root of 16 = 4. 4 can be written as a fraction 4/1, or 8/2, 16/4, etc. and therefore is rational by definition.
Susan has 12 pizzas that she needs to divide equally among 7 classrooms.
Which fraction shows how many pizzas each classroom should get?
Answer:
1 5/7
Step-by-step explanation:
12 ÷ 7 = 1R5, therefore, we have 1 whole and 5/7
Hope I helped
I will mark Brainliest if u help meee
Answer:
Same y-intercept
Step-by-step explanation:
They have the same y-intercept of 2
look a y intercept is where the function crosses the y axis or when x is 0
In the chart y=2 when x =2 meaning a y intercept of 2
in the graph u can see the line going through the y intercept at (0,2)
So they have the same y-intercept
In the XY coordinate plane, the slope of a line is 4 and it passes through the point (1,3). Find the equation of a line that is perpendicular to the given line and intersects it at the given point.
A. y=4x-1
B. y=-4x+7
C. y=1/4x -1
D. y=4x+13/4
E. y=-1/4x+13/4
Answer:
E?
Step-by-step explanation:
I'm sorry of this answer is wrong
