Answer:
5 cans need to be bought
Step-by-step explanation:
In each can, 3 people can be served. 3 × 5= 15
an even even Function has a graph symmetric about _____, thus ______.
A. x-axis
B. y-axis
C. origin
A. f(x)= f(-x)
B. f(x)= -f(-x)
Answer:
B. y-axis
A. f(x) = f(-x)
5. [Statistical independence] Consider a month consisting of exactly 28 days, split into four weeks of seven days each, such that the first of the month is a Monday. One of the 28 days will be selected uniformly at random (so that each day has probability 1/28 of being selected). Event A is that the selected day is a Monday or Wednesday. Event B is that the selected day falls either in the first or third weeks of the month. Are A and B independent or not? Show your work.
Answer:
They are independent events
Step-by-step explanation:
For independent events;
Pr(A & B) = Pr(A) × Pr(B)
Given that:
A = day is Monday or Wednesday
Since we have four weeks and each week will have one Monday and Wednesday each,
Pr(A) = (8/28)
B = day falls in the first or third week
Since, first and the third week has a total of 14 days,
Pr(B) = 14/28
Therefore;
Pr(A) × Pr(B) = 8/28 * 14/28
Pr(A) × Pr(B) = 1/7
Now, A and B = day is either Monday or Wednesday, and it is in the first or third week
There are four such days, Thus Pr(A and B) = 4/28 = 1/7
Since, Pr(A and B) = Pr(A) * Pr(B),
A and B are independent events
What is the greatest common factor of 49, 62 and 80? OA) 1 OE) 2 OC) 3 OD) 5
Answer: A (1)
Step-by-step explanation:
The way to find a common factor is by dividing the given numbers by the largest possible multiple that still gives you a whole number
A
49/1=49
62/1=62
80/1=80
This is an option
B
49/2=24.5
62/2=31
80/2=40
This is not an option, 24.5 is not a whole number
C
40/3=16.333(repeating)
This is not an option, you are not given a whole number
D
49/4=12.25
This is also not an option, 12.25 is not a whole number
Answer
Our only possible answer is A-1
can u pls help with this question
Answer:
noooooooooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
Natalie walked 3/5 mile in 1/2 hour.how fast did she walk,miles per hour.
Answer:
1.2 mph
Step-by-step explanation:
3/5 = .6 per half hour, you need to find the mph rate and since you're dealing with a half hour rate, you double it. .6 miles × 2 & 30 mins ×2= 1.2 miles per hour
can you show me how to work out the problem
Problem: According www.textrequest, an American between 18-24 sends and receives about 128 text messages per day. Assume that the population standard deviation is 30 for this age group. To get an idea about the true population mean you take a survey of 100 adults in that age group and find that their average is 135. Create a 90% confidence interval for the population average for this age group.
Answer:
(130.08, 139.92)
Step-by-step explanation:
Given that:
Mean (m) = 135
Standard deviation (σ) = 30
Sample size (n) = 100
α = 90%
The confidence interval value is obtained using the relation:
Mean ± Zcritical * (standard deviation / sqrt(n))
Zcritical at 90% = 1.64
standard deviation / sqrt(n) = 30 / sqrt(100)
= 30 / 10 = 3
Hence,
135 ± 1.64 * (3)
Lower limit : 135 - (1.64 * 3) = 130.08
Upper limit : 135 + (1.64 * 3) = 139.92
Hence,
Confidence interval = (130.08, 139.92)
evaluate f(-3) if f(x) = 5x^3+2x^2-4x+1
Answer:
-3326
Step-by-step explanation:
replaces the x's with -3
so (5(-3))^3 + (2(-3))^2 -4(-3)+1 = -3326
PLEASE HELP!!! will mark brainliest
Answer:
you actually got all the answers
Step-by-step explanation:
Answer:
the ones you chose are correct :-)
1
Which is equivalent to 64?
O 2/4
4
O 16
O 16/4
Answer:
4
Step-by-step explanation:
Answer:Option (a) is correct.
Step-by-step explanation:
Which of the following best defines the sequence shown?
8, 24, 72, 216, ...
Answer:
Option (2)
Step-by-step explanation:
Given sequence is,
8, 24, 72, 216........
1st term of the sequence 'a' = 8
Ratio of 2nd and 1st term = [tex]\frac{24}{8}=3[/tex]
Ratio of 3rd and 2nd term = [tex]\frac{72}{24}=3[/tex]
There is a common ratio of 'r' = 3 in each successive and previous term.
Therefore, it's a geometric sequence.
Since, nth term of a geometric sequence is given by,
[tex]T_n=a(r)^{n-1}[/tex]
Therefore, function representing the geometric sequence is,
f(n) = [tex]f(n)=8(3)^{n-1}[/tex]
Option (2) is the answer.
Write this number in expanded form 36.91
Answer:
30+6+0.9+0.01 =36.91
Step-by-step explanation: Here ya go ;>
The sum of 2 numbers is 84 if one number is 4.less than the other find the numbers
Answer:
one number= x = 44
the other number= (x-4)= 40
Step-by-step explanation:
one number= x
the other number= (x-4)
x + (x-4) = 84
2x= 84+4
2x= 88
x= 88/2= 44
one number= x = 44
the other number= (x-4)= 40
Sin θ = 12/37. Find tan θ. Right Triangle Trigonometry.
Answer:
[tex]\huge\boxed{B.\ \dfrac{12}{35}}[/tex]
Step-by-step explanation:
Look at the picture.
We know:
[tex]\sin\theta=\dfrac{a}{c}\\\\\tan\theta=\dfrac{a}{b}[/tex]
We have
[tex]\sin\theta=\dfrac{12}{37}\Rightarrow a=12,\ c=37[/tex]
Use the Pythagorean theorem.
[tex]a^2+b^2=c^2\\\\12^2+b^2=37^2\\\\144+b^2=1369\qquad|\text{subtract 144 from both sides}\\\\b^2=1225\to b=\sqrt{1225}\\\\b=35[/tex]
Calculate tangent:
[tex]\tan\theta=\dfrac{12}{35}[/tex]
Hugo is saving for a new baseball glove. He saves $10 the first week, and $6 each week for the next 6 weeks. The expression 10+6 with the power of 2 represents the total amount in dollars he has saved. What is the total amount Hugo has saved?
Answer$46
Step-by-step explanation: Because if he saves $6 every week for 6 weeks then all you have to do is times 6 by 6 then plus ten equaling your problem.
What is 60 minutes 20% of
Answer:
60 minutes is 20% of 300%
Step-by-step explanation:
Richard is walking around her neighborhood. If he walks
1
3
mile in
1
6
hour, how fast is Richard walking, in miles per hour?
Answer:2 miles per hour
Step-by-step explanation:
1/3 times 6
To determine how fast is Richard walking, the concept of average speed comes into picture. The average speed of Richard is 2 miles per hour. Therefore the correct option is option B
What is Average speed?Average speed can be calculated by dividing total distance traveled by a body to the total time taken for the body to reach its destination.
Now determine how fast is Richard walking, in miles per hour
We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time
Total distance traveled by Richard = 1/3 mile
Total time taken = 1/6 hour
Average speed = total distance / total time
Average speed = (1/3) / (1/6)
Reciprocal the denominator term, and we get
Average speed = (1/3) × 6
Average speed = 2 miles per hour
Therefore, Richard is at an average speed of 2 miles per hour
Learn more about the average speed here :
brainly.com/question/12322912
#SPJ5
help me pleaseeeeee!!!!!
Answer:
61
Step-by-step explanation:
3x + 28
5x + 52
+ 2x - 10
10x + 70 = 180º
x = 11
3(11) + 28 = 61º
The temperature on Sunday was 45 degrees. The next day the temperature dropped by 13 degrees. What is the temperature the next day" *
Answer:
The answer is 32 degrees
Step-by-step explanation:
45 minus 13 equals 32
Question 3 (1 point)
What is the area of the triangle?
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a
30 units squared
b
25 units squared
c
11 units squared
d
15 units squared
Answer:
d: 15 units squared
Step-by-step explanation:
The area of a triangle is [tex]\frac{b*h}{2}[/tex]:
Base: 5Height: 6Area: (5•6)/2=30/2=15Marcos reads 3, books in 1 weeks.
At this rate, how many books does Marcos read iQ 1 week?
Enter your answer in the box.
Answer:
Marcos reads 3 books
Step-by-step explanation:
The question is asking how many books he read in 1 week, and it said "Marcos reads 3, books in 1 weeks. At this rate, how many books does Marcos read in 1 week?", so he read 3 books.
Find sin θ. Right Triangle Trigonometry.
Answer:
A. 16/20
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ
Opposite Leg = 16
Hypotenuse = 20
Step 2: Find Ratio
Substitute [Sine]: sinθ = 16/20Answer:
A. 16/20
Step-by-step explanation:
The sine ratio is the opposite leg over the hypotenuse, opp/hyp.
For angle theta, the opposite leg is 16. The hypotenuse is 20.
sin (theta) = 16/20
Answer: A. 16/20
Nadine's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Nadine's curtain company wants to make 52 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot
Elena has 20 apples and 35 crackers for making snack bags. She wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers. What is the largest number of snack bags she could make?
Which one is it? GCF(greatest common factor) LCM (least common multiple).
Answer:
GCF
Step-by-step explanation:
Answer: The largest number of snack bags she could make is 5
Step-by-step explanation:
20/5=4 apples
35/5=7 crackers
In each bag she will place 4 apples and 7 crackers
Solve for n .
n - 26 = -13 .
n =
Answer:
n = 13
Step-by-step explanation:
Given
n - 26 = - 13 ( add 26 to both sides )
n = 13
Final Answer: [tex]n = 13[/tex]
Steps/Reasons:
Question: Solve for n. n - 26 = -13. n = ?
Step 1: Add 26 to both sides.
[tex]n = -13 + 26[/tex]
Step 2: Simplify -13 + 26 to 13.
[tex]n = 13[/tex]
~I hope I helped you :)~
A TV report conducted a survey of 947 people in New York City and found that 35% of the population believe that the Yankees will miss the playoffs this year. In the accompanying dialogue, the reporter states, we are 97% confident that the true proportion of people in New York City who believe that the Yankees will miss the playoffs this year lies between 28% and 42% . What does 35% represent in the report
Answer:
[tex]35\%[/tex] represents the sample proportion of the population
Step-by-step explanation:
From the question we are told that
The sample size is n = 947
The proportion of the population that believes that the Yankees will miss the playoffs this year is [tex]k = 35\% = 0.35[/tex]
From the question we are told the confidence level is 97%
The lower limit of the confidence level is a = 28%
The upper limit of the b = 42%
Generally the sample proportion of this population is mathematically represented as
[tex]\^ p = \frac{a+ b}{2}[/tex]
=> [tex]\^ p = \frac{28 + 42 }{2}[/tex]
=> [tex]\^ p = 35\%[/tex]
Hence [tex]35\%[/tex] represents the sample proportion
Please give me the correct answer
Answer:
D
Step-by-step explanation:
i think the 4th is the answer
F(x)=-3(x-1) find f(0)
Answer: 3 (x-1)
______
x
Step-by-step explanation:
so thats 3(x-1) over x
have a good day! :)
plz give me brainliest
Answer:
3
Step-by-step explanation:
F(x)=-3(x-1) find f(0)
F(0) = -3(0-1)
F(0) = -3(-1)
F(0)= 3
Help pleasseeeee!!!!!!
Answer:
i think C sorry if wrong
IF you do this for points YOU WILLLL NOT BE BRAINLEST AND YOU HAVE 1 HOUR IF IT IS LESS THAN AN HOUR NO ONE WILLL BE BRAINLEST !!!!!!!!!!!
Which number is missing on the following number line?
Answer:
21
Step-by-step explanation:
It is going by multiples of 7, so the answer is 21.