Answer:
Correct option is B)
n(AUB)=n(A)+n(B)−n(A∩B)
=75+45−35
=85
number of students owing car or stereos=85
number of students neither car nor stereo =100−85=15
The number of students who do not own either a car or an iPod is 25.
What is union of sets?Union of two given sets is the smallest set which contains all the elements of both the sets.
What is intersection of sets?Intersection of two given sets is the largest set which contains all the elements that are common to both the sets
What is the formula for union of two sets?The union of two sets is given by
n(A∪B) = n(A) + n(B) -n(A∩B)
Where,
A and B are the two sets.
∪ is the union
∩ is the intersection.
According to the given question.
Total number of students in a college = 100
Total number of students who own iPods, n(A) = 55
Total number of students who own cars, n(B) = 25
Number of students who own both cars and iPods, n(A∩B) = 5
Therefore,
The number of students who own cars or iPods is given by
n(A∪B) = n(A) + n(B) - n(A∩B)
⇒n(A∩B) = 55 + 25 - 5
⇒ n(A∪B) = 75
So, the number of students who do not own either a car or an iPod
= 100 - 75
= 25
Hence, the number of students who do not own either a car or an iPod is 25.
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Identify the 2D shape made by this cross section
Answer:
rectangle
Step-by-step explanation:
The most common number among the first million digits of pi.
There is no most common number among the first million digits of pi.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Pi is an irrational number that continues infinitely without repetition or pattern.
Therefore, in theory, each digit from 0 to 9 should appear with equal frequency among the first million digits of pi.
In practice, however, it is not always the case due to the random nature of the digits.
That being said, there have been computational studies that have analyzed the frequency distribution of the digits in the first million digits of pi, and the results show that each digit appears with almost the same frequency.
Therefore,
There is no most common number among the first million digits of pi.
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A scientist needs 60 milliliters of buffer solution for each of 13 experiments. He has a bottle that
contains 971 milliliters of buffer solution. Is there enough buffer solution in the bottle for all 13
experiments? Explain
Answer:
Yes
Step-by-step explanation:
60 × 13 = 780 milliliters
due to 971 > 780
therefore there is enough buffer solution in the bottle for all 13 experiments
13⁵-32⁵ showed working please
Answer:
use a calculator cuh
Step-by-step explanation:
iont got time for this stuff
)) What is the missing length?
1 mi
у
») area
=
2 mi?
()) y =
miles
Answer:
y = 2 miles
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = lb ( l is the length and b the width )
here A = 2 , then
y × 1 = 2 , that is
y = 2
PLS HELPPPPP!!!! WILL GIVVE BRAINLEIST.
What is the area of this trapezoid?
Enter your answer in the box.
ft²
Trapezoid with parallel sides labeled 15 feet and 37 feet. Dashed perpendicular segment between them is labeled 18 feet.
Answer:
468
Step-by-step explanation:
did the test on k12 :)
Answer:
468
Step-by-step explanation:
7/10,3/5,9/11,1/2, who’s Is more
Answer:
7/10 = .70
3/5 = .60
9/11 = .81
1/2 = .50
9/11 is the most
1. 2х + 4y = 26
3х - у = 4
2. 3x + 2y = 16
2x – Зу = 2
Answer:
Step-by-step explanation:
1. 2x + 4y = 26
3x - y = 4 => y = 3x -4
2x + 4(3x - 4) = 26
2x + 12x - 16 = 26
14x = 42
x = 3
3(3) - y = 4
y = 5
2. 3x + 2y = 16
2x - 3y = 2
9x + 6y = 48
4x - 6y = 4
13x = 52
x = 4
3(4) + 2y = 16
2y = 4
y = 2
A flight attendant has visited 30 of the 50 states. What fraction of the states, in simplest form, has he not visited?
fraction of state not visited = (50 - 30)/ 50 = 2/5
Answer: 2/5
Hope that helps!
Answer: 2/5
Step-by-step explanation:
Since he's visited 30, he has 20 left. 20/50 can be simplified to 2/5.
-
Find an equation of the line that is parallel to 3x-6y=-1 and passes through (4,-1) write your
answer in the form y = mx + b.
Melbourne is a popular tourist location in Florida. The highest temperature ever recorded there was 109°F. The lowest temperature recorded there was 20°F. Write two inequalities that would describe the temperature, in °F, in Melbourne at any time since temperatures have been recorded.
The inequality that shows the temperature in Melbourne is 20°F ≤ x ≤ 100°F
What is an inequality?
An inequality is an expression that shows the non equal comparison of two or more variables and numbers.
Let x represent the temperature in Melbourne.
The highest temperature ever recorded there was 109°F, hence x ≤ 109°F.
Also, the lowest temperature ever recorded there was 20°F, hence x ≥ 20.
From both statements:
20°F ≤ x ≤ 100°F
The inequality that shows the temperature in Melbourne is 20°F ≤ x ≤ 100°F
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60PTS Chef Alfredo invested $4800 at a simple interest rate of 5% and can now afford a $6,000
state-of-the-art pizza oven. How many years ago did he make this investment? show step by step explanation
Answer:
An oft-repeated water vapor myth is that warm air can “hold” more water vapor than cool air because as the air warms its molecules move farther apart, making room for more molecules.
Step-by-step explanation:
The requried Chef Alfredo made this investment 5 years ago.
What is simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
Amount = Principal [1 + rate×time]
Here,
We can use the formula for simple interest to find out how long it would take for Chef Alfredo's investment to grow to $6,000.
I = P * r * t
We know the following,
P = $4800
r = 5% = 0.05
I = $6000 - $4800 = $1200
Substituting these values into the formula,
$1200 = $4800 * 0.05 * t
t = $1200 / ($4800 * 0.05)
t = 5 years
Therefore, Chef Alfredo made this investment 5 years ago.
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Use the graph to write a linear function that relates y to
X.
Linear function that relates y to x.
y = x
coordinates of y = x
[tex]| \ \ x \ | -2 \ | \ -1 | \ \ 0 \ | \ \ 1 \ | \ \ 2 \ | \ \ 3 \ \ \ | \\ --------------\\ | \ \ y \ \ | -2 \ | \ -1 | \ \ 0 \ | \ \ 1 \ | \ \ 2 \ | \ \ 3 \ \ |[/tex]
---------------------------------------------------------------------------------------------------------
A linear function is a straight line following equation: y = mx + b
where m is slope, b is y-intercept
⚘ Refer to the attachment for graph and below for some details!~
Details ⤵️x-intercept = 0y-intercept = 0slope = 1Domain = x∈RIt is a linear function. Since, the line is straight when it's plotted and the linear function is (y=x)
Some X and Y coordinates are:
[tex]\begin{gathered}\boxed{\begin{array}{c|c}\boxed{\sf x} &\boxed{\sf y} \\ \sf -2 &\sf -2 \\ \sf -1 &\sf -1\\ \sf 0 &\sf 0 \\ \sf 1 &\sf 1\\ \sf 2 &\sf 2 \end{array}}\end{gathered}[/tex]
2. For which value of x is the
relation not a function?
{(5,2),(x, 1),(8,6),(9,3)}
A) 1
C) 4
B) 9
D) 6
The volume of a right cone is 21 pi units. If its circumference measures 6 pi units, find its height.
Given,
Volume of cone = 21π cm³
& It's Circumference = 6π
Find Radius,
★ Circumference = πr²
=> 6π = πr
=> 6π/π = r
=> r = 6 cm
Now,
★Volume of cone = 1/3πr²h
[tex] = > 21\pi = \frac{1}{3} \times 36\pi \times h \\ = > 21\pi = 12\pi \times h \\ = > \frac{21\pi}{12\pi} = h \\ = > \frac{7}{4} = h \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = > h \: = 1.75 \: cm[/tex]★Hence, The value of height is 1.75 cmHope it helps youu....!!!
Through the volume of the cone we will calculate the height, so we find that:
h=1.75 cm
How to calculate the volume of the cone?The volume of the cone is calculated by multiplying the area of the base and the height. Since the base is a circle, we use the formula for the area of a circle times the height of that cone.
Organizing the information given in the statement we have:
Volume of cone = 21π cm³ Circumference = 6πRadius = 6knowing the formula of the volume is:
[tex]V = 1/3\pi r^2h\\(21\pi )= 1/3 \pi (6)^2h\\h= 1.75[/tex]
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In the parallelogram LMNO, LM equals 2x+9 and No equals 5x-3. Find the length of a NO.
Answer:
20.3960780544
Step-by-step explanation:
you first find the points that line up and you take the opposite starting points of the shape. this will give you the points (0,-3) and (4,17). then you plug them into the distance formula shown below. you plug the numbers in and you will get the square root of 16+400. this will end up to be 20.3960780544.
A new car is purchased for 23700 dollars. The value of the car depreciates at
per year. What will the value of the car be, to the nearest cent, after 10 years'
The value of the car after 10 years is $5557.8.
What is depreciation?
Depreciation refers to the reduction in the value of an asset over time and such valued reductions are reflected in the Balance sheet at the year ended.
Given
A new car is purchased for 23700 dollars.
The value of the car depreciates at 13.5% per year.
According to the question,
The value of the car depreciates therefore the amount of the car is determined by the formula,
Where, P = $23700, r = 13.5% and t =10 years
Substitute all the values in the formula,
Hence, the value of the car after 10 years is $5557.8.
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Simplify the expression:
2t+8d-4+8
Answer:
8d+2t+4
Step-by-step explanation:
First Subtract the numbers without variables:
-4+8=4
And now you have to swap 8d and 2t:
8d+2t
Add it all together:
8d+2t+4
Answer:
2t+8d+4
Step-by-step explanation:
If I am doing this correctly we would put 2t and 8d to the side since there is nothing similar to it
Then we would-4+8 which would be 4
Then the answer might be 2t+8d+4
Sorry if it is incorrect!
Please help me, I don't know how to do this...
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
_____
Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Summarize how the Rational Zeros Theorem, the Factor Theorem, and polynomial division are used together to find the zeros of a polynomial.
Answer:
If
P(x)
is a polynomial with integer coefficients and if
is a zero of
P(x)
(
P() = 0
), then
p
is a factor of the constant term of
P(x)
and
q
is a factor of the leading coefficient of
P(x)
Step-by-step explanation:
Hope this helps
How many times can you make change for 25 cent
Answer:
There are 13 different ways to make 25 cents with quarters, dimes, nickels, and pennies
Step-by-step explanation:
please mark me as brainlist please I
I need help Solving quadratics by taking the square root.
Answer:....
Ok done. Thank to me :>
pls answer this question for me i’m very confused
Answer:
-6
Step-by-step explanation:
So, this problem wants you to multiply 5x+1 with 2x-3 and place it in ax^2 + bx + c form and add a. b, and c all together.
So, let's start by multiplying the expressions together
( 5x + 1 )( 2x - 3 ) = 5x ( 2x - 3 ) + 1(2x - 3)
= 10x^2 - 15x + 2x -3
= 10x^2 - 13x -3
There, we have our answer of 10x^2 - 13x - 3
So, a = 10, b = -13, and c = -3
a + b + c = 10 -13 - 3
= -6
Your welcome for the answer! If you have any questions, please ask them in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it!
Sprinters who run 100 yards now often run 100 meters. How many meters
longer to the nearest tenth is 100 meters than 100 yards?
Answer:
100 meters is 8.6 meters longer than 100 yards.
Step-by-step explanation:
Conversion of yards to meters.
Each yard has 0.914 meters.
So 100 yards is 100*0.9144 = 91.4 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
100 yards = 91.4 meters
100 - 91.4 = 8.6
So 100 meters is 8.6 meters longer than 100 yards.
brainliest please
A cylinder has a height of 18 yards The volume of this cylinder is 11077.92 cubic yards what is the radius
Answer:
13.996 or 14 yd
Step-by-step explanation:
volume of a cylinder = piR^2 * h
solve for R
R = (V/pi*H)^0.5
For science class, Sammy is using the length of his stride to measure the length of a field. He finds that the field is 157 strides long. His stride measures 1.4 meters long. Use compatible numbers to estimate the length of the field.
Answer: 219.8 meters
Step-by-step explanation:
Since his stride measures 1.4 meters and the length of the field is 157 strides, then the length of the stride in meters is 157*1.4 meters.
= 219.8 meters
What is the slope of the line that contains the points (-8, 7) and (-4, -5)? A. -3 B. 1 3 C. 3 D. - 1 3
Answer: A.
Step-by-step explanation:
If Charity has $500 this month and spends $40 each
month thereafter, the function that models how much she
has after x months would be f(x) = -40x + 500.
Answer:
f (x) = -60x + 500
Step-by-step explanation:
After 1 month : 500 - 40 x 1
After 2 month: 500 - 40x 2
After 3 month: 500 - 40 x 3
After x month: 500 - 40x
Therfore: f (x) = -40x + 500.. xe[0,8]
{500 - 40x > , 0 }
x ≤ 8
Charity has $420 after 2 months based on the given function
How to solveThe explanation of the function f(x) = -40x + 500,
Which models how much money Charity has after x months:
The coefficient -40 represents the amount of money Charity spends each month.
The constant term 500 represents the amount of money the Charity has at the start.
The function f(x) = -40x + 500 can be interpreted as Charity has an amount after x months if she starts with $500 and spends $40 each month.
For example, if x = 1, then
f(1) = -40 * 1 + 500 = 460,
Which means Charity has $460 after 1 month.
Similarly, if x = 2, then
f(2) = -40 * 2 + 500 = 420,
This means Charity has $420 after 2 months
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Fei Yen's dog eats 8 ounces of dog food each day. Fei Yen bought a 28-pound bag of
dog food. How many 8-ounce servings are in a 28-pound bag of dog food?
A 14
B 56
C 224
D 448
Answer:
B. 56
Step-by-step explanation:
28 pounds converted to ounces is 448 ounces
so 448/8=56
Write an linear equation. Explain it in numbers please !! 20 points!!
Answer:
Step-by-step explanation:
y=3x
6=x
9=6y
8=12x
10y=15x
