Finish labeling the number of elements in the regions in the Venn diagram shown to the right, where the subsets
A, B, and C of the universe, U, satisfy the following conditions.
n(U) = 100
n(ANB) = 14
n(A) = 40
n(BNC) = 13
n(B) = 50
n(ANC) = 14
n(C)= 30
n(ANBNC) = 7
q=
S=
t=
V=
w=
X=
Answers
Answer:
t=14
v=13
q=12
s=23
w=-4
x=28
Step-by-step explanation:
we know that the universal set =100
so, everything in it must add up to 100
first, from the information given to us,
t= n(A n C)= 14
v=n(B n C)= 13
to find q
we know from our guide that n(A) =40
which means everything inside A will add up to 40
therefore,
q + 7 + 7 + t = 40
and we already know that t = 14
so, that will be;
q + 7 + 7 + 14 = 40
therefore, q = 12
to find s,
we all know that n(B) = 50
which means that everything inside B will be equal to 50
therefore,
s + 7 + 7 + v = 50
and we know that v = 13
therefore,
s + 7 + 7 + 13 = 50
and s will end up to be = 23
to find w,
we know that n(C) = 30
so, everything in C end up to be all equal to 30
therefore,
t + 7 + w + v = 30
from our solution, t = 14, v = 13
so,
14 + 7 + w
q = 19, s = 30, t = 7, v = 6, w = 10, x = 7.
What is a set ?A set is a collection of well defined objects.
According to the given question of Venn diagram given,
n(U) = 100, n(A∩B) = 14, n(A) = 40, n(B∩C) = 13, n(B) = 50, n(A∩C) = 14, n(C) = 30 and n(A∩B∩C) = 7.
t = n(A∩C) - n(A∩B∩C).
t = 14 - 7
= 7.
q = n(A) - [ n(A∩B) + t ]
q = 40 - ( 14 + 7 )
q = 40 - 21
q = 19.
v = n(B∩C) - n(A∩B∩C)
v = 13 - 7
v = 6.
s = n(B) - [ n(A∩B) + v ]
s = 50 - ( 14 + 6 )
s = 30.
w = n(C) - [ n(A∩C) + v ]
w = 30 - ( 14 + 6 )
w = 10.
We know x = n(U) - q - s - w - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C).
x = 100 - 19 - 30 - 10 - 14 - 13 - 14 + 7.
x = 7.
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Related Questions
Your turn: Type in two addition expressions, both of which have an output value of -100.
1) Use two negative numbers.
2) Use one positive number and one negative number.
Answers
Answer:
-50 + -50
only negative...sorry.
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Find the zeros of the following function f (x) = 2x^2 – x – 10
Answers
Step-by-step explanation:
the formula to find the x values to deliver y=0 results of a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
a, b, c are the constant factors in the 3 terms of a squared equation.
here in our example of 2x² - x - 10
a = 2
b = -1
c = -10
x = (1 ± sqrt(1² - 4×2×-10))/(2×2) =
= (1 ± sqrt(1 + 80))/4 = (1 ± sqrt(81))/4 =
= (1 ± 9)/4
x1 = (1 + 9)/4 = 10/4 = 2 2/4 = 2 1/2 = 2.5
x2 = (1 - 9)/4 = -8/4 = -2
The Students on each team who drew the greatest number will be the captain of that team. Place the players of the Tigers team in order from Least to Greatest.
Who was the captain of the Tiger Team?
Answers
Someone tell me if I’m right
Answers
Answer:
Yes you are correct
Step-by-step explanation:
Twix bars cost $1.29.each. If you buy 10 bars, how much
change will you receive from $20?
Answers
Answer:
$7.10
Step-by-step explanation:
1 bar = $1.29
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Answer:
7.1
Step-by-step explanation:
1 twix bar = $1.29
10 twix bar = $12.9
change = 20 - 12.9
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Which expression is equivalent to-5(3x-6/7)?
Answers
Answer:
The answer is -15x+30/7
Step-by-step explanation:
First: -5×3 is -15x
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Last: You put 30/7
vivien needs to proofread a 500 page novel she plans to do 30 page on the first day and increase the number by 5 each dag how many days will it take her to complete the proof reading?
Answers
Answer:
Step-by-step explanation:
in the problem it says she plans to do thirty pages so lets let 30 be our y value so ?x +30 and she plans to increase by 5 each day key word is each which means multiply so let 5 be our x value which will give you the equation 500=5x+30 so step by step here we go
500=5x+30
1. 500=5x+30
500 −30= 5
Answer:
I think about 9 days
Step-by-step explanation:
first day is 30 next is 35, 40,45,50,55,60,65,70,75
i dont is this what u wanted but its done and it is
by the 9ths day you would have 525
i dont know what i did
find the value of a cube + b cube when a+b = 5 and ab = 3
Answers
As we know :
[tex] \boxed{ \boxed{ {(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) }}[/tex]now let's plug the value of given terms :
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babawi lang sana
Step-by-step explanation:
naul pi
Determine which box each reason should go in to justify each step taken to solve
the equation. Make the unused reason #4
54+2x=5x-3(2+6x)
Distributive Property
Multiplication Property
Division Property
>
Addition Property
<
Answers
Answer:
Am how should we answer this
-32 > +32? True or false?
Answers
Answer:
False
Step-by-step explanation:
+32 is greater than -32
Answer:
false it is less than
Step-by-step explanation:
-32<+32
what is happening in this graph from point b to c?
Answers
Answer:
at o to a the speed increases from a to b the speed is constant the from b to c the speed is decreasing there is a stop from c to d the speed increases at d to e going constant again at e to f
Step-by-step explanation:
The function f is defined by the following rule.
f(x) = 3x-1
Complete the function table.
Answers
Answer:
hope it helps
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Today is Saturday. What day of the week will it be in 3724 days?
Answers
Answer:
It is still going to be Saturday
Step-by-step explanation:
Because 3724 can be divided by 7
Since the remainder is 0, it's the same day:
Saturday
Answer:
saturday
Step-by-step explanation:
133.5 divided by 5 show work
Answers
Answer:
26.7
Step-by-step explanation:
Use a c a l c u l a t o r :P
What is the value of each digit in 28.6597
Answers
Answer: 200000
800000
6000
500
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Step-by-step explanation:
Solve for x: -7 < X - 1 < 8
Answers
Answer:
4th option
Step-by-step explanation:
-7 < X - 1 < 8
Add +1 on all side
-7+1<x-1+1<8+1
-6<x<9
Answer:
D
Step-by-step explanation:
-7<x-1 and - 1<8
-7<x-1 : x>-6
x-1<8 : x<9
combine x>-6 and x<9
= -6 < x < 9
If a ray QT bisects ZRQS , what would be the measure of one of the resulting angles
Measure=?
Answers
Answer:
PQS is a straight line, so:
(3x - 5) + (x + 1) = 180
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Step-by-step explanation:
The scale of the drawing was 5 inches = 4 yards. What is the drawing's scale factor? Simplify your answer and write it as a fraction
Answers
Answer:
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Step-by-step explanation:
3 In which of these pairs of numbers would both numbers round to 6.23 ? F 6.232 and 6.236 G 6.231 and 6.233 H 6.229 and 6.239 J 6.222 and 6.238 GO
Answers
9514 1404 393
Answer:
G 6.231 and 6.233
Step-by-step explanation:
F 6.232 and 6.236 rounds to 6.23, 6.24
G 6.231 and 6.233 rounds to 6.23, 6.23
H 6.229 and 6.239 rounds to 6.23, 6.24
J 6.222 and 6.238 rounds to 6.22, 6.24
_____
One way to determine the rounded value is to add 0.005 to the number, then drop all digits to the right of the hundredths place.
Examples:
6.222 +0.005 = 6.227 ⇒ 6.22
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How do you break apart 32.14
Answers
Answer:
answer is below
Step-by-step explanation:
so 32.14 is breakable. first break it up by the tens place you have 3 tens.
next the ones place you have 2 ones
then the tenths place you have 1 tenth
then the hundredth place you have 4 hundreths
so the 3 tens is equal to 30
the 2 ones is equal to 2
the 1 tenth is equal to 0.1
the 4 hundredth is equal to 0.04
this is easier to understand and is a good way to think about more complext numbers
71 degrees Determine the value of x.
A) 109 degrees
B) 71 degrees
C) 142 degrees
D) 35.5 degrees
Answers
Answer:
A) 109 degrees
The answer is 109 degrees because each opposite angle added equals 180°. 180-71= 109
Good luck on your assignment ⊂(◉‿◉)つ
A DVD that originally cost $30 is on sale for 10 percent off. Complete the steps to solve the problem
Step 1: Find the amount of the discount.
($30.00)(0.10) =
Step 2: Subtract the discount from the original amount to find the sale price,
Answers
Answer:
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Step-by-step explanation:
the discount is 27 so that leaves 3 dollars if
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Answers
Answer:
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Step-by-step explanation:
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Write and inequality to compare the fractions. 24/18 and 25/15
Answers
Answer:
25/15 > 24/18
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Two friends go out to eat and order the same meal. They pay a 6% sales tax and a 20% tip on their meals. The total bill, including tax and tip, is $27.72. How much did each meal cost before tax and tip? (Assume that the friends pay a tip on the cost of the meals only.) IF CORRECT I WILL GIVE BRAINLIEST!!
Answers
Sales tax and tip will increase the price of an item.
The cost of each meal is: $10.89
Let the cost of both meals be x.
A 20% tip means that, the current price is:
[tex]Price = x \times (1 + 20\%)[/tex]
A 6% sales tax on the meal means that, the current price is:
[tex]Price = x \times (1 + 20\%) \times (1 + 6\%)[/tex]
So, we have:
[tex]Price = x \times (1 + 0.20) \times (1 + 0.06)[/tex]
[tex]Price = x \times (1.20) \times (1.06)[/tex]
[tex]Price = x \times 1.272[/tex]
The amount paid is $27.72
So, the equation becomes
[tex]27.72= x \times 1.272[/tex]
Make x the subject
[tex]x = \frac{27.72}{1.272}[/tex]
[tex]x = 21.78[/tex]
So, the cost of each meal is:
[tex]Each= \frac{21.78}{2}[/tex]
[tex]Each= 10.89[/tex]
Hence, the cost of each meal is: $10.89
Read more about sales tax at:
https://brainly.com/question/19715580
Help me asap I’ma give u brainlest if u do
Answers
Answer:
The answer is b..
Step-by-step explanation:
hope its helpful
Grace rides the bus to her grandmother's house each day. A one way trip is 8.12 miles. How many miles does
she travel after 5 days help on 1 and 2 please extra points
Answers
40.6 miles and $9.77
Step-by-step explanation:
[Number 1]
8.12 × 5
= 40.6 miles
[Number 2]
2.79 × 3 ½
= 2.79 × 3.5
= 9.765
≈ $ 9.77
First four terms
f(n)=n^3-n^2+1
Answers
Answer:
The function of this equation is: [tex]F(n)=\frac{1}{4}n^4-\frac{1}{3}n^3+n+C[/tex]
Step-by-step explanation:
Answer:
1, 5, 19, 49
Step-by-step explanation:
To obtain the first 4 terms substitute n = 1, 2, 3, 4 into f(n)
f(1) = 1³ - 1² + 1 = 1 - 1 + 1 = 1
f(2) = 2³ - 2² + 1 = 8 - 4 + 1 = 4 + 1 = 5
f(3) = 3³ - 3² + 1 = 27 - 9 + 1 = 18 + 1 = 19
f(4) = 4³ - 4² + 1 = 64 - 16 + 1 = 48 + 1 = 49
The first 4 terms are 1, 5, 19, 49
Algebra 2 help needed....
Answers
Answer:
Step-by-step explanation:
We actually don't need to know all of the restrictions.
We know that a vertical stretch factor of 4 means multiplying a square root function by [tex]4[/tex]. So, the answer will be in the form [tex]y=4\sqrt{x+c}+k[/tex], where c and k are real numbers.
Aha! Only one of these conditions satisfy the restrictions, so we have that [tex]\boxed{y=4\sqrt{x+3}+7}[/tex] has to be the answer.
NEED HELP FOR REAL 69 points!!!!!!!!!!!!!! ASAP
The physicist from the last problem lets the particle fall another 100 times, and finds that the average travel time is now 16 sec. Remember that when running the simulation many times it took 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. What does she conclude and why?