Answer:
A=πr2=π·12≈3.14159ft²
A≈3.14ft²
Step-by-step explanation:
From a survey of 100 college students, a marketing research company found that 55 students owned iPods, 25 owned cars, and 5 owned both cars and iPods.
How many students do not own either a car or an iPod?
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.
Find out more information about intersection and union of sets here:
https://brainly.com/question/4709512
#SPJ2
Adding fractions
5 over 10 + 1 over 3
Answer:
25/30
Simplified: 5/6
Step-by-step explanation:
Have a good day!
Please rate and mark brainliest!
Answer:
the answer is 25/30 or in a simple form 5/6
Step-by-step explanation:
What is the equation of a parabola with focus of (5,3) and directrix y=-3
angle 0 is in quadrant I with cos 0 is 10/17. which of the following would be the appropriate step in calculating the value of sin 0 using the pythagorean identity?
a. sin 0 + (10/17)^2 = 1
b. sin 0 - (10/17)^2 = 1
c. sin^2 0 + (10/17)^2 = 1
d. sin^2 0 - (10/17)^2 = 1
Work Shown:
[tex]\sin^2(\theta) + \cos^2(\theta) = 1\\\\\sin^2(\theta) + \left(\cos(\theta)\right)^2 = 1\\\\\sin^2(\theta) + \left(\frac{10}{17}\right)^2 = 1[/tex]
As the name implies, the pythagorean identity uses the pythagorean theorem for right triangles. The 1 on the right hand side is the length of the hypotenuse, which is the radius of the unit circle.
50 points!!!
The hexagon below is split into equal parts. What is the area of each part of the hexagon?
Answer:
first I don't know what else please help me too lol.
A cylinder has a height of 12 feet and a radius of 13 feet. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
6367.92 ft^3
Step-by-step explanation:
v = pi x r^2 x h
3.14(13^2)(12)
Please Help With this Question ( The Question is EZ im just tired )
Will mark brainliest
Answer:
put the right point at 80,12 and put the point on the left at 0,0
Step-by-step explanation:
A and B are mutually exclusive events. P(A) = 0.40 and P(B) = 0.30. What is
PA or B)?
A. 0.75
B. 0.22
C. 0.12
D. 0.70
By mutually exclusive, it means that there are no overlaps between the two events. This means that the probability of the P(A U B) or P(A or B) is simply the sum of the two probabilities.
P(A or B) = 0.40+0.30=0.70
Therefore the answer would be D 0.70
I hope this helped and if you have any more questions to this element please ask!
The value of P(A or B) with A and B are mutually exclusive events is 0.70. Therefore, option D is the correct answer.
What are mutually exclusive events?Mutually exclusive is a statistical term describing two or more events that cannot happen simultaneously. It is commonly used to describe a situation where the occurrence of one outcome supersedes the other.
Give that, P(A)=0.40 and P(B)=0.30.
We know that, P(A or B) = P(A)+P(B)
= 0.40+0.30
= 0.70
Therefore, option D is the correct answer.
Learn more about the mutually exclusive events here:
https://brainly.com/question/28565577.
#SPJ7
A rectangle with a perimeter of 78 millimeters has a length and width in a ratio of 9:4. What are the length and width?
Answer:
Step-by-step explanation:
Let the length be 9x, then the width is 4x
perimeter = 2(9x + 4x) = 2(13x) = 26x = 78, so x = 78/26 = 3
So
the length = 9x = 9(3) = 27 mm
the width = 4x = 4*3 = 12 mm.
Multiply the binomials ( 3x + 5) and (4x + 3).
Write a polynomial of degree 3 whose only roots are x=2 and x=2/5. Is there another polynomial of degree 3 that has the same roots?
Answer:
Step-by-step explanation:
(x - 2)² (x - 2/5) = 0
5(x - 2)² (x - 2/5) = 0
(x - 2)² * 5(x - 2/5) = 0
(x - 2)² (5x - 2) = 0
(x² - 4x + 4)(5x - 2) = 0
5x³ - 20x² + 20x - 2x² + 8x - 8 = 0
5x³ - 22x² + 28x - 8 = 0
Another possible polynomial is
(x - 2) (x - 2/5)² = 0
How many times greater is one gallon than one quart. PLEASE HELP ME
Answer:
4 quarts constitute for 1 gallon.
Let's convert quarts into gallon.
Explanation: A quart contains 4 cups or 2 pints while a gallon contains 16 cups or 8 pints. Hence, a liquid gallon is equal to 4 liquid quarts.
Step-by-step explanation:
[tex]hope \: it \: helps \: you[/tex]
Solve the system if equations: 3x+y+3z=4
4x-y+2x=5
X-2y-z=0
Answer:
The answer is in step-by-step explanation
Step-by-step explanation:
3 x + y + 3 z = 4
4 x - y + 2 z = 5
x - 2 y - z = 0
46.231 divided by 1000
Answer:
0.046231
just use a calculator my dude
Answer:
0.046231
Step-by-step explanation:
Not really much of an explanation but
46.231/1000=0.046231
A lead blower runs on a mixture of gas and oil. The ratio of ounces of gas to ounces of oil is 40 to 1. How many ounces of gas does a lead need for 2 ounces of oil?
Which choice best shows the Distributive Property? O 6 6+ (10 x 7) = (6 x 10] +7 1 x 6 = 6 None of these answers show the Distributive Property. O 6x (10 + 7) = (6 x 10) + (6 x 7) 6 0 6x 10 = 10 x 6
Answer:
6 (10 + 7) = (6 x 10) + (6 x 7)
Step-by-step explanation:
Assuming the answer choices are like this:
6 + (10 x 7) = (6 x 10) + 71 x 6 = 66 (10 + 7) = (6 x 10) + (6 x 7) 6 x 10 = 10 x 6None of theseDistributive Property is the act of taking one number or variable and multiplying it into a set interval. We always distribute before anything else in the equation (PEMDAS) For example:
4 (3 - 5)
The act of distribution is multiplying the 4 by all variables inside the following parenthesis. This act would make the equation turn into this:
4 (3 - 5) → (4 x 3) - (4 x 5) → (12 - 20) → -6
This means out of the option choices the only feasible answer would be:
6 (10 + 7) = (6 x 10) + (6 x 7)
Let's talk about Frankie's work. Does it make sense? Is 3/5 equivalent to 6/10 ? Why or why not? Find at least two other fractions or ratios that are equivalent to 3/5 What Frankie calls a Giant One is more formally called the multiplicative identity. Why do you think it is called that?
Answer:
Yes they are equal
Step-by-step explanation:
3/5 is just a simplified version of 6/10
3 x 2 is 6
5 x 2 is 10
6/10
2 more fractions that are equivalent to 3/5 are
9/15
and
12/20
You throw two dice. What is the probability of rolling a 2 on at least one of the dice?
I'll give brainliest to correct answer. Please explain why
Answer:
0,027
Step-by-step explanation:
Rolling two fair dice more than doubles the difficulty of calculating probabilities. This is because rolling one die is independent of rolling a second one. One roll has no effect on the other. When dealing with independent events we use the multiplication rule. The use of a tree diagram demonstrates that there are 6 x 6 = 36 possible outcomes from rolling two dice.
Answer:
11/36
Step-by-step explanation:
There are 36 possible outcomes from rolling 2 dice because the first die has 6 possible outcomes and so does the second.
If the first dice is a 2, the second die can be from 1 to 6. So, there are 6 ways that one dice can show a 2. Since it can happen to both die, you double it to be 12.
But, we have counted the roll of 2,2 twice. So we minus 1 possibility.
Thus, there are 11 ways to roll at least one 2 and 36 possibilities.
Michelle bought 45 meters of cloth to make a pillow case.If each pillow case required 3/4 meters long to make one, how many would she make?
Answer:
60
Step-by-step explanation:
[tex]45 \div \dfrac34=\dfrac{45}{1} \div \dfrac34=\dfrac{45}{1} \times \dfrac43=\dfrac{45\times 4}{1\times 3} =\dfrac{180}{3}=60[/tex]
Answer:
60
Step-by-step explanation:
45:3/4=x:1
[tex]x = \frac{45 \times 1} { \frac{3}{4} } \\ x = 45 \times \frac{4}{3} \\ x = 60[/tex]
HELPPP PLSSS
Find the value of x in the figure:
Answer:
4
Step-by-step explanation:
ΔADE ~ ΔABC, so
AD : AB = (x + 1) : (4x - 6)
Note AB = 2 AD, so
4x - 6 = 2(x + 1)
4x - 6 = 2x + 2
2x = 8
x = 4
Can someone please help me with this for brainliest!!!!!
Answer:
(c) 65
Step-by-step explanation:
(f ⁰ g)(x) = 3(x² + 4) + 5
(f ⁰ g)(4) = 3(4² + 4) + 5 = 3*20 + 5 = 65
Mia crosses a river. Please see attached photo
Answer:
The interval of decrease is 0 ≤ x ≤ 1.25
Step-by-step explanation:
First, we have to find the point where it changes from increasing to decreasing or decreasing to increasing.
The graph shows that there is a decrease before 1.25 h, and it increases after 1.25 h also.
We can further prove that 1.25 is the point of change when we enter 1.25 in place of t in the given equation
d(1.25) = 40|1.25 - 1.25| = 0
We see that the graph is decreasing before 1.25, so the interval will have to end at 1.25.
We also see that there is no increase before 1.25, so we can make the interval begin at 0
What is the value of -
3x + 2(y - 1)
when x = 4 and y = 3?
x + y²
Show your work.
Answer:
-8
Step-by-step explanation:
substitute
x=4
into -3x+2(y-1):
x=3
-3x4+2x(3-1)
-12+2x(3-1)
-12+2x2
-12+4
= -8
Answer:
first question ans is 16 and second is 13
Step-by-step explanation:
Given
x=4 and y=3
3x+2(y-1)
3×4+2(3-1)
3×4+2×2
12+4
16Ans
Second question is
x+y×y
4+3×3
4+9
13 Ans
state the two transformations shown in the attachment please be specific!!
HELP QUICK!!
Answer: The attachment isn't loading,
Step-by-step explanation: Try again / post the question again
At the start of the year, 90 people were going to the gym. If 55.6% of them quit going a month later, how many people are going to the gym now?
Answer: 39.96 people
Step-by-step explanation:
If 55.6% quit, that means 44.4% still go to the gym.
44.4%*90 = 39.96 people
An animal shelter has 10 cats. Each day 20 cans of food are noworo
used for the cats. If each cat eats the same amount of food,
how many cans of food does each cat eat in a day?
Answer:
2
Step-by-step explanation:
20/10
2
TO DOUBLE CHECK:
2 x 10 = 20
Have an amazing day!!
PLEASE RATE AND MARK BRAINLIEST!!
Please please help! I will mark you brainliest thank you math experts
Answer:
Right skewed Histogram.
Explanation:
As the peak of the graph lies to the left side of the centre.
Which of these whole numbers is an odd number?
376
79
254
92
1,358
Answer:
79 is an odd number
Step-by-step explanation:
Hope It help's u :))!
Answer:
79 is an odd number..
Step-by-step explanation:
Hope it helps you
#beBrainly
A student is preparing to enroll in a private college in 3 years. The first year of tuition will cost $4,500. What is the minimum amount the student will need to save every month in order to pay for the first year of tuition?
A) $125 6
B) $1,500
C) $375
D) $29
The minimum amount the students are A) $125 will need to save every month in order to pay for the first year of tuition.
What are the minimum students?
Assuming that the student will save the same amount every month for three years to cover the first year of tuition, we need to find the monthly savings needed to accumulate $4,500 in 36 months.
$4,500 ÷ 36 months = $125
Therefore, the student needs to save $125 every month to pay for the first year of tuition in three years.
So, the answer is A) $125.
What is tution?
Tuition refers to the fee charged by educational institutions, such as schools, colleges, and universities, for the instruction and education they provide. It is the cost that students must pay in order to attend and receive an education from these institutions. Tuition fees vary depending on the type of institution, the program of study, and the location. Some institutions may also offer financial aid or scholarships to help students pay for their tuition.
To know more about tuition, visit:
https://brainly.com/question/18703725
#SPJ1
Complete question is: A student is preparing to enroll in a private college in 3 years. The first year of tuition will cost $4,500, the minimum amount the students are A) $125 will need to save every month in order to pay for the first year of tuition.
help asap pleasee ill give points
