Answer:
Step-by-step explanation:
From the given information,
Suppose
X represents the Desktop computer
Y represents the DVD Player
Z represents the Two Cars
Given that:
n(X)=275
n(Y)=455
n(Z)=405
n(XUY)=145
n(YUZ)=195
n(XUZ)=110
n((XUYUZ))=265
n(X ∩ Y ∩ Z) = 1000-265
n(X ∩ Y ∩ Z) = 735
n(X ∪ Y) = n(X)+n(Y)−n(X ∩ Y)
145 = 275+455 - n(X ∩ Y)
n(X ∩ Y) = 585
n(Y ∪ Z) = n(Y) + n(Z) − n(Y ∩ Z)
195 = 455+405-n(Y ∩ Z)
n(Y ∩ Z) = 665
n(X ∪ Z) = n(X) + n(Z) − n(X ∩ Z)
110 = 275+405-n(X ∩ Z)
n(X ∩ Z) = 570
a. n(X ∪ Y ∪ Z) = n(X) + n(Y) + n(Z) − n(X ∩ Y) − n(Y ∩ Z) − n(X ∩ Z) + n(X ∩ Y ∩ Z)
n(X ∪ Y ∪ Z) = 275+455+405-585-665-570+735
n(X ∪ Y ∪ Z) = 50
c. n(X ∪ Y ∪ C') = n(X ∪ Y)-n(X ∪ Y ∪ Z)
n(X ∪ Y ∪ C') = 145-50
n(X ∪ Y ∪ C') = 95
A toy car can go 3 mph. How long would it take to go 10 miles?
A study of class attendance and grades among first-year students at a state university showed that in general students who attended a higher percent of their classes earned higher grades. Class attendance explained 81% of the variation in grade index among the students. What is the numerical value of the correlation between percent of classes attended and grade index
Answer:
r = 0.9
Step-by-step explanation:
Correlation is denoted by r. r² is usually used to measure variation along the line as a fraction of the total variation.
We are told class attendance explained 81% of the variation in grade index among the students. Thus, for this regression, the variation is;
r² = 81%
Or r² = 0.81
Thus, the numerical value of the correlation r would be;
r = √0.81
r = 0.9
Drag a statement or reason for each box to complete this proof.
Statements Reasons
1. m∠ABD=60°, m∠DBC=40° Given
2. m∠ABD+m∠DBC=m∠ABC
3. Response area Substitution Property of Equality
4. Response area Simplifying
5. ∠ABC is an obtuse angle. Response area
6. △ABC is an obtuse triangle. Definition of an obtuse triangle
Hey! I've had the same quiz earlier and these answers below are correct. Hope this helps you out and have a great day :)
We have proved that m∠ABC is an obtuse angle.
m∠ABC = m∠ABD + m∠DBC
100° = 60° + 40°
Given,
m∠ABD = 60°
m∠DBC = 40°
We need to prove that m∠ABC is an obtuse angle.
What is an obtuse angle?The angles greater than 90 degrees but less than 180 degrees are called obtuse angles.
We have,
From the figure.
m∠ABD = 60°
m∠DBC = 40°
We see that
m∠ABC = m∠ABD + m∠DBC
m∠ABC = 60° + 40°
m∠ABC = 100°
m∠ABC is greater than 90 degrees and less than 180 degrees so,
m∠ABC is an obtuse angle.
Thus we have proved that m∠ABC is an obtuse angle.
Learn more about obtuse angles here:
https://brainly.com/question/1581660
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10. (5 + 4 – 2) × (-2) = ?
O A. -14
B.-22
C. 14
D. 22
Answer:
A. -14
Step-by-step explanation:
PEMDAS
(9-2)*(-2) = x
(7)*(-2) = x
-14 = x
please solve my question
Answer:
216, 1728
Step-by-step explanation:
A perfect cube is a cube of an integer and has exact cube roots. 12 x 12 x 12= 1728 /6 x 6 x 6= 216
Answer:
1728 and 216 are perfect cubes
hope it helps mate
enjoy your day !!!!
#Captainpower
A gym charges $45 per month and a $75 one-time starting fee. Which of these will show how much it costs to join the gym for one year?
Answer: 615
Step-by-step explanation: you take the 45 times 12 months plus the 75 for the one time fee.
Answer:
615
Step-by-step explanation:
u times 45 for 12 months and add the 75 fee
I really wish I knew
Austin answered 21 questions correctly on his multiple choice math final and earned a grade of 35%. How many total questions were on the final exam?
Answer:
60
Step-by-step explanation:
21/.35 = 60; set up this equation and solve for x:
.35(x) = 21
Answer:
60
Step-by-step explanation:
Greg earned $45.76 in 6.4 hours. How much did he earn per hour?
A- $7.15
B- $7.25
C- $7.45
D- $8.40
This is 6th grade math, may anyone please help asap?? Thank you :)
Answer:
The answer is $7.15 (A)
Step-by-step explanation:
Answer:
The answer is option AStep-by-step explanation:
To solve this question we use ratio and proportion
From the question
The person earns $ 45.76 in 6.4 hours
If the person in 6.4 hours earn $ 45.76
Then in 1 hour the person will earn
[tex] \frac{45.76}{6.4} [/tex]We have the final answer as
$ 7.15Hope this helps you
You buy 60 of your favorite songs from a Web site that charges $0.99 for each song. What is the cost of 60 songs? Use mental math.
Answer:
$59.4
Step-by-step explanation:
Round up: 60*1 = $60. Everytime you add $0.99, you subtract off a penny, so you will subtract off 60 pennies. 60 cents from the original answer, so 60-0.6=59.4.
Which shows the proper use of the distributive property
Answer:
-2 (6x - y) = -12x + 2y
Step-by-step explanation:
By using the distributive property, you start by multiplying -2 and 6x which gets you -12x. You then multiply -2 and -y (in other words -y = -1y) so, -2* -y would get you 2 as a negative multiplied by a negative is a positive. So, adding them together would get your final answer: -2 (6x - y) = -12x + 2y
list from least to greatest 0,-5.5,-15,15,25,-25
Answer:
-25,-15,-5.5,0,15,25
Step-by-step explanation:
Answer:
Step-by-step explanation:
-25, -15, -5.5, 0, 15, 25
Rewrite 2/1
20/40
As a unit rate
Answer:
3/50
Step-by-step explanation:
If h(x) = 2x - 1 and g(x) = 3x + 1, what is (h o g)(2)?
Answer:
Step-by-step explanation:
g(2) = 3(2) + 1 = 6 + 1 = 7
h(7) = 2(7) - 1 = 14 - 1 = 13
Using composite functions, it is found that:
[tex](h \circ g)(2) = 13[/tex]
The composition of functions h(x) and g(x) is given by:
[tex](h \circ g)(x) = h(g(x))[/tex]
In this problem, the functions are:
[tex]h(x) = 2x - 1[/tex]
[tex]g(x) = 3x + 1[/tex]
Then:
[tex]h(g(x)) = h(3x + 1) = 2(3x + 1) - 1 = 6x + 2 - 1 = 6x + 1[/tex]
At x = 2:
[tex](h \circ g)(2) = 6(2) + 1 = 13[/tex]
A similar problem is given at https://brainly.com/question/23458455
expand -X(-5-4x) + 2(10x+3)
Answer:
4x^2 + 25x + 6
Step-by-step explanation:
-x(-5-4x) + 2(10x+3)
5x + 4x^2 + 20x + 6
4x^2 + 25x + 6
Please help :) I don’t just want the answer can someone explain how you do it?
Answer:
20r^8s^-6
Step-by-step explanation:
Dentro de 12 años la edad de Ana será el triple de su edad actual. Determina la edad de Ana dentro de 2 años.
Ana va a cumplir los 36 anos de edad.
what is the digit 5 in which number represents a value of 0.5
Answer:
4/5 = 0,8
4 | 5
40 0,8
40
Step-by-step explanation:
Answer: the tenths place
Step-by-step explanation:
3.
What is the value of the expression 2x^3y when
x=-2 and y = 32
IF YOU GET THIS RIGHT I WILL MARK BRAINLIEST
Answer:
The answer is 2^97
Step-by-step explanation:
I calculated it I am sure it is correct
Have a wonderful rest of your day,
Katharine Chavez
Can someone answer this? Fast
Answer:
-1 . 6 i think it should be.
Answer:
-1.6
-0.4÷0.25=-1.6 i calculate this
A typical household pays about $1200 a year on energy bills, and the U.S. Department of Energy estimates that 46 percent of this energy is used for heating and cooling, 15 percent for heating water, 15 percent for refrigerating and freezing, and the remaining 24 percent for lighting, cooking, and running other appliances. The heating and cooling costs of a poorly insulated house can be reduced by up to 30 percent by adding adequate insulation. If the cost of insulation is $220, determine how long it will take for the insulation to pay for itself from the energy it saves.
Answer: 16 months or 1 and half year.
Step-by-step explanation:
given data:
46 percent of this energy is used for heating and cooling.
15 percent for heating water.
15 percent for refrigerating and freezing.
and the remaining 24 percent for lighting, cooking, and running other appliances.
Solution:
if the family spent $1200 on yearl bill, the cost of energy used in heating and cooling
= 46/100 * $1200
= $552 yearly.
by adding insulation the cost of heating and can be redu up to 30percent.
= 30/100 * $552
= $165.6.
if $220 determin how long it would take for the insulation to pay for it self from the energy it saves.
$165.6 would be saved yearly, this makes it an average of $13.8 saved monthly.
to determine the time it would take to settle the cost of insulation from energy saved
= $220/13.8
= 15.9 months
which Is approximately 16 months or 1 and half year to pay for the insulation.
A class is playing a game where they add or subtract numbers to come up with another target number. Which of the following can James do to 23 to turn it into 0? Select all that are true.
A. Add 23
B. Subtract 23
C. Add -23
D. Subtract (-23)
Right answer gets Brainliest!
Answer:
b and c
Step-by-step explanation: If you subtract 23 from 23/ 23-23=0 and 23-(-23)= 0. Hope this helps!
James can do 23 to turn it into 0 by adding a negative number 23 or subtracting a number 23. Then the correct options are B and C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A class is playing a game where they add or subtract numbers to come up with another target number.
James can do 23 to turn it into 0 by adding a negative number 23 or subtracting a number 23. Then the correct options are B and C.
⇒ 23 + (-23)
⇒ 23 - 23
⇒ 0
⇒ 23 - 23
⇒ 0
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
1 minus the quotient of x and 7
Answer:
1-x/7
Write x/7 as a fraction.
L Solve the following equation: 2 + 8x= 11x - 13.
Answer:
x = 5
Step-by-step explanation:
Add 13-8x to both sides of the equation, then divide by the coefficient of x.
2 +8x +13 -8x = 11x -13 +13 -8x
15 = 3x . . . . simplified
5 = x
Answer:
x=5
2+8x=11x-13
8x-11=-13-2
-3x=-15
x=5
Simplify the following expression. Write your answer in simplest radical form. y1/5 x y1/6
Answer:
y1
5
x)(y1)
6
=
1
30
xy2
KL=9x+3
JL = 55, and
JK = 7x +4,
Find KL.
Answer:
30
Step-by-step explanation:
JL comprises of JK & KL. So ,
JL = JK + KL
Here the length of :-
KL= 9x + 3
JL = 55
JK = 7x + 4
So putting all the values above gives ,
7x + 4 + 9x + 3 = 55
=> 16x + 7 = 55
=> 16x = 55 - 7
= 48
=> x = 48/16 = 3
Using the value of x in finding the length of KL ,
KL = 9 × 3 + 3 = 27 + 3 = 30
1. What is the distance between the points (-3,0) and (3, 8) in the xy-plane?
I
A. 6
OB. 10
C. 8
OD. 5
In the expression 27 ÷ 9 x 3 – 4 x 2, explain why 27 ÷ 9 is the first operation you would do
Answer:
Order of operations
Step-by-step explanation:
In order of operations, multiplication and division go first of the things in this equation (remember PEMDAS?), after that it's left-right. So the first division left-right is 27/9
Solve for the given variable. List the step used to solve the equation. 49.75 + 4.99x = 9.99x + 19.75?
Answer:
x=-2
Step-by-step explanation:
9.75+4.99x=9.99x+19.75
Simply Both Sides(change the order of 9.75 and 4.99x in this case)
4.99x+9.75=9.99x+19.75
Subtract 9.99x from both sides
4.99x+9.75−9.99x=9.99x+19.75−9.99x
−5x+9.75=19.75
Subtract 9.75 from both sides now
−5x+9.75−9.75=19.75−9.75
−5x=10
Divide both sides by -5 and boom
−5x/-5=10/-5
x=−2
Which property of equality should you use to solve 6x = 48?
