Which of the following is an arithmetic sequence?
OA) 0, 5, 11, 18, 24, ...
B) -2, -4, -8, -16, -32, ...
OC) 0, 6, 12, 18, 24, ...
OD 1, -3, 9, -27, 81,...
Answers
Answer:
b. -2,-4,-8,-16,-32 thats the answer i think
The arithmetic sequences are:
B) -2, -4, -8, -16, -32, ...
C) 0, 6, 12, 18, 24, ...
The correct options are B and C.
What is an arithmetic sequence?A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
An arithmetic sequence is a sequence of numbers where each term is obtained by adding a fixed number, called the common difference, to the previous term. We can check which of the given sequences satisfy this definition:
A) 0, 5, 11, 18, 24, ...
The common difference between consecutive terms is not the same: the difference between the first two terms is 5, the difference between the second and third terms is 6, the difference between the third and fourth terms is 7, and so on. Therefore, this sequence is not an arithmetic sequence.
B) -2, -4, -8, -16, -32, ...
The common difference between consecutive terms is multiplied by -2: the difference between the first two terms is -2(-2) = 4, the difference between the second and third terms is -4(-2) = 8, the difference between the third and fourth terms is -8(-2) = 16, and so on. Therefore, this sequence is an arithmetic sequence with a common difference of -2.
C) 0, 6, 12, 18, 24, ...
The common difference between consecutive terms is 6. Therefore, this sequence is an arithmetic sequence with a common difference of 6.
D) 1, -3, 9, -27, 81,...
The common difference between consecutive terms is multiplied by -3: the difference between the first two terms is -3, the difference between the second and third terms is -3(-3) = 9, the difference between the third and fourth terms is -9(-3) = 27, and so on. Therefore, this sequence is not an arithmetic sequence.
Therefore, the arithmetic sequences are options B and C.
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Related Questions
An SRS of size 20 is drawn from a population that has a normal distribution. The sample has a mean of 122.5 and a standard deviation of 8. Give the standard error of the mean:______
Answers
Answer:
The value is [tex]\sigma_{\= x} = 1.789[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 20
The sample mean is [tex]\= x = 122.5[/tex]
The standard deviation is [tex]s = 8[/tex]
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{\= x} = \frac{s}{\sqrt{n} }[/tex]
=> [tex]\sigma_{\= x} = \frac{8}{\sqrt{20 } }[/tex]
=> [tex]\sigma_{\= x} = 1.789[/tex]
Given h(x)=-5x+1, solve for a when h(x) = - 4 .
Answers
Answer:
x = 1
Step-by-step explanation:
h(x) = - 5x + 1, h(x) = - 4
- 4 = - 5x + 1
- 5 = - 5x
x = 1
If we solve for the value of x in function h(x) = -5x + 1 where , h(x) = -4 , then it will be equal to 1.
What is a function ?
A function is a relationship between inputs and outputs where each input has precisely one output and the output can be linked to its input.
It is given that the function h(x) is given by :
h(x) = -5x + 1
We have to solve to get the value of x , if the value of h(x) is equal to -4.
So , let's solve the given function to get the value of x :
h(x) = -5x + 1
or
-4 = -5x + 1
reordering the like terms :
-5 = -5x
dividing by 5 on both sides :
-1 = -x
multiplying by -1 on both sides :
x = 1
Therefore , if we solve for the value of x in function h(x) = -5x + 1 where , h(x) = -4 , then it will be equal to 1.
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3. The table below shows the rates for two duplicating companies.
For what number of pages will the two duplicating stores charge the same amount?
Answers
Answer:
250 pages
Step-by-step explanation:
Write an expression for the cost of x pages for each of the companies. Then set the expressions equal, and solve for x, the number of pages.
Quick Copy: 5 + 0.06x
Copy Place: 10 + 0.04x
5 + 0.06x = 10 + 0.04x
0.02x = 5
x = 5/0.02
x = 250
Answer: 250 pages
Check
Quick Copy: 5 + 0.06(250) = 5 + 15 = 20
Copy Place: 10 + 0.04(250) = 10 + 10 = 20
For 250 copies, both places cost $20. 250 copies is the correct answer.
I need this one too by 11:59 plzz
Answers
Answer:
Step-by-step explanation:
The formula for the area of a rectangle is [tex]area=w*l[/tex] , where w is the width of the rectangle and l is the length of the rectangle.
The question tells us that the length is four times it width. This means that [tex]l=4w[/tex] . Since we are given the length, 4w, and the area, 256, we can plug in these values into our formula for area of a rectangle and solve for the width:
[tex]256=w*4w[/tex]
[tex]w^2=\frac{256}{4}[/tex]
[tex]w=\sqrt{64} =8[/tex]
The width of the rectangle is 8 centimeters.
Now that we have the width of the rectangle, we can plug that value into our original equation again to solve for the width:
[tex]256 = 8 * l[/tex]
[tex]l=32[/tex]
The length of the rectangle is 32 centimeters.
If ABC is reflected across the y-axis, what are the coordinates of C?
Answers
Answer:
C
Step-by-step explanation:
The y axis is vertical so you only change the x value.
The coordinate of C after being reflected across the y-axis is (-6, 3) option (C) (-6, 3) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a triangle shown on the coordinate plane.
If ABC is reflected across the y-axis,
Then the coordinate of C
From the figure, the coordinate of C is(before reflection)
C = (6, 3)
The rule for transformation if reflected across the y-axis:
(x, y) → (-x, y)
(6, 3) → (-6, 3)
Thus, the coordinate of C after being reflected across the y-axis is (-6, 3) option (C) (-6, 3) is correct.
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10x 4 tens unit and standard form
Answers
Answer:
Tens unit:4 and 40
Step-by-step explanation:
What triangle is this. May someone tell me?
Answers
Answer:
It is a Right triangle
Step-by-step explanation:
it was one right angle, and two acute, therefore it is considered a right triangle.
Rachel rents three DVDs from Watchflicks and two DVDs from Bluechest. The probability that a DVD is faulty is 4% for Watchflicks and 5% for Bluechest. All DVD rentals being faulty or otherwise are independent of each other. Calculate the probability that exactly
Answers
Answer:
0.017
Step-by-step explanation:
The probability that exactly some number of DVDs are faulty is approximately 0.9884 or 98.84%.
To calculate the probability that exactly a certain number of DVDs are faulty, we need to use the binomial probability formula. The binomial probability formula is given by: [tex]P(X = k) = C(n, k) * p^k * q^{n-k}[/tex]
- P(X = k) is the probability of getting exactly k successes (in this case, exactly k faulty DVDs).
- C(n, k) is the number of combinations of n items taken k at a time, also known as the binomial coefficient. It is calculated as [tex]C(n, k) = n! / (k! * (n - k)!).[/tex]
- p is the probability of success (getting a faulty DVD from Watchflicks or Bluechest).
- q is the probability of failure (getting a non-faulty DVD), which is equal to 1 - p.
- n is the total number of trials (in this case, the total number of DVDs rented).
Let's calculate the probability that exactly "x" DVDs are faulty (where x can be 0, 1, 2, 3, or 4).
Probability of getting a faulty DVD from Watchflicks (p1) = 4%
= 0.04
Probability of getting a faulty DVD from Bluechest (p2) = 5%
= 0.05
Total number of DVDs rented from Watchflicks (n1) = 3
Total number of DVDs rented from Bluechest (n2) = 2
Total number of DVDs rented (n) = n1 + n2
= 3 + 2
= 5
Let's calculate the probabilities for each value of x:
1. Probability that exactly 0 DVDs are faulty (x = 0):
[tex]P(X = 0) = C(5, 0) * (0.04)^0 * (1 - 0.04)^5 \\= 1 * 1 * 0.961^5 \\\approx 0.8145[/tex]
2. Probability that exactly 1 DVD is faulty (x = 1):
[tex]P(X = 1) = C(5, 1) * (0.04)^1 * (1 - 0.04)^4 \\= 5 * 0.04 * 0.960^4 \\\approx 0.1641[/tex]
3. Probability that exactly 2 DVDs are faulty (x = 2):
[tex]P(X = 2) = C(5, 2) * (0.04)^2 * (1 - 0.04)^3 \\= 10 * 0.0016 * 0.941^3 \\\approx0.0084[/tex]
4. Probability that exactly 3 DVDs are faulty (x = 3):
[tex]P(X = 3) = C(5, 3) * (0.04)^3 * (1 - 0.04)^2 \\= 10 * 0.000064 * 0.922^2\\ \approx0.0014[/tex]
5. Probability that exactly 4 DVDs are faulty (x = 4):
[tex]P(X = 4) = C(5, 4) * (0.04)^4 * (1 - 0.04)^1 \\= 5 * 0.00000256 * 0.960 \\\approx 0.0000024[/tex]
Now, to find the probability that "exactly" (all DVDs being accounted for) a certain number of DVDs are faulty, we simply add up the individual probabilities: P(exactly 0 DVDs faulty) + P(exactly 1 DVD faulty) + P(exactly 2 DVDs faulty) + P(exactly 3 DVDs faulty) + P(exactly 4 DVDs faulty) ≈ 0.8145 + 0.1641 + 0.0084 + 0.0014 + 0.0000024
≈ 0.9884
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1. The Sky Train from the terminal to the rental car and long-term parking center is supposed to arrive every 12 minutes. The waiting times for the train are known to follow a uniform distribution. What is the average waiting time (in minutes)?2. The Sky Train from the terminal to the rental car and long-term parking center is supposed to arrive every 16 minutes. The waiting times for the train are known to follow a uniform distribution. Find the 20th percentile for the waiting times (in minutes).3. The Sky Train from the terminal to the rental car and long-term parking center is supposed to arrive every 18 minutes. The waiting times for the train are known to follow a uniform distribution. What is the probability of waiting more than 16 minutes given a person has waited more than 9 minutes?
Answers
Answer:
a
[tex]\mu = 6[/tex]
b
[tex]x= 3.2[/tex]
c
[tex]P( X> 16 | X > 9 ) = 0.222[/tex]
Step-by-step explanation:
Considering question 1
From the question we are told that
The waiting times for the train are known to follow a uniform distribution
i.e
[tex]X \~ \ \ \ Uniform(a =0 , b= 12)[/tex]
Generally the cumulative distribution function for uniform distribution is mathematically represented as
[tex]F(x) = \left \{ {{0 \ \ \ \ \ \ \\ \ \ \ for x < a } \atop {\frac{x - a}{b-a} \ \ \ \ \ \ for a \le x \ le b }} \atop { 1 \ \ \ \ \ \ \ \ \ \ \ for x > b}\right. [/tex]
Generally the average time is mathematically represented as
[tex]\mu = \frac{a+ b}{2}[/tex]
=> [tex]\mu = \frac{0+ 12}{2}[/tex]
=> [tex]\mu = 6[/tex]
Considering question 2
The waiting times for the train are known to follow a uniform distribution
i.e
[tex]X \~ \ \ \ Uniform(a =0 , b= 16)[/tex]
Generally the 20th percentile of the waiting time is mathematically represented as
[tex]f(x) = \frac{x- a }{b- a} = 0.2[/tex]
=> [tex]f(x) = \frac{x- 0 }{16- 0} = 0.2[/tex]
=> [tex]x= 3.2[/tex]
Considering question 3
The waiting times for the train are known to follow a uniform distribution
i.e
[tex]X \~ \ \ \ Uniform(a =0 , b= 18)[/tex]
Generally the probability of waiting more than 16 minutes given a person has waited more than 9 minutes
[tex]P( X> 16 | X > 9 ) = \frac{P( X > 16 \ \ n \ \ X > 9 )}{P( X > 9 )}[/tex]
=> [tex]P( X> 16 | X > 9 ) = \frac{ P(X > 16 )}{P( X > 9 )}[/tex]
=> [tex]P( X> 16 | X > 9 ) = \frac{\frac{18 - 16}{18} }{\frac{18 - 9}{9 } }[/tex]
=> [tex]P( X> 16 | X > 9 ) = 0.222[/tex]
The probability shows that the average waiting time is 6 minutes.
How to solve the probability?The average time will be calculated thus:
= (a + b)/2
= (0 + 12)/2
= 12/2
= 6 minutes
The 20th percentile for the waiting times will be calculated thus:
f(x) = (x - 0)/(16 - 0) = 0.2
x = 0.2 × 16
x = 3.2
Therefore, the 20th percentile for the waiting times is 3.2 minutes.
The probability of waiting more than 16 minutes given a person has waited more than 9 minutes will be calculated thus:
= [(18 - 16)/18] / [(18 - 9)/9]
= 0.222
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What is the quadratic regression equation that fits these data
Answers
Answer: The objective of this problem is to have you use a calculator and enter the data in to separate lists: one containing the x-values, and the other the correspondent y-values (following the same order). Once the data is entered, you need to access the regression tool and request a quadratic form of regression. You should get and image and resulting function as shown in the attached image.
Noelle used 17 lemons to make lemonade. This was 85% of all the lemons
she bought. How many lemons did Noelle buy? *
Helpppppp please I have 30 more minutes
Answers
Answer:
20 lemons
Step-by-step explanation:
Let the number of lemons = 'x'
85% of x = 17
[tex]\frac{85}{100}*x = 17\\\\x = \frac{17*100}{85}\\x = 20[/tex]
Answer:
20 lemons
Step-by-step explanation:
Let the number of lemons = 'x'
85% of x = 17
please mark me the brainlyest
A bell tower casts a 60 cm shadow. At the same time a sculpture that is 4.5 meters tall casts a 15 cm shadow. How tall is the bell tower
Answers
Answer: 18
Step-by-step explanation:
x/4.5= 60/15
15x=270
X = 18cm
Please help if u can
Answers
Answer:
f(x) -> 2 as x -> -∞ and f(x) -> ∞ as x -> ∞
Step-by-step explanation:
f(x) -> 2 as x -> -∞ and f(x) -> ∞ as x -> ∞
*this is because the graph shows that the y value cannot pass by 2 as the x value constantly decreases and as x is increasing, there is just an arrow showing that the graph is constantly going up and therefore going to ∞
Miss Garcia an art teacher is buying supplies for her next unit on ceramics. Her 25th six graders are making mugs and jugs estimated each one will use about three force of a pound of clay. She also wants to have 20 pounds of clay for seventh graders sculptures. If Miss Garcia has 5 2/5 pounds of Clay left over from last year how much more clay does she need
Answers
1/2 Answer: 1/2
Step-by-step explanation:
Answer:
33 7/20
Step-by-step explanation:
First you multiply the number of students performing in the problem (25) to the fraction 3/4 as stated in the problem itself.
25 * 3/4 = 18 3/4
Then you use the answer from the previous step and add it by the expected amount of pound of clay (20)
18 3/4 + 20 = 38 3/4
As from the last step, we use that number and subtract it by the leftover clay (5 2/5)
38 3/4 - 5 2/5 = 33 7/20
Answer:
33 7/20
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7 divided 2/3 , give answer in its simplest form
Answers
Answer:
21/2 or 10 1/2
plz help me thanks so mycghh
Answers
Answer:
(4). g(2) > f(2) False
Step-by-step explanation:
(1). (f(0) = 2) > (g(0) = - 4) (True)
(2). f( - 4) = 4( - 4 ) + 2 = - 14
g( - 4) = (5/2)(- 4) - 4 = = - 14
f( - 4) = g( - 4) (True)
(3). f(6) = 4(6) + 2 = 26
g(12) = (5/2)(12) - 4 = 26
f(6) = g(12) (True)
(4). g(2) = (5/2)(2) - 4 = 1
f(2) = 4(2) + 2 = 10
g(2) > f(2) (False)
whats expressions are equal to 4( 7x + 2 + x )
Answers
Answer:
8 (4 x + 1)
and
32 x + 8
Step-by-step explanation:
WILL MARK BRAINLIST!!!!!
10 is 5% of what number?
What percent of 90 is 36?
4 is what percent of 20?
Answers
Answer:
1: 50
2: 2.5
3: 5
1: multiply 10 by 100 and then divide the total by 5
as follows:
(10 x 100) / 5multiply 10 by 100 and then divide the total by 5 as follows:
(10 x 100) ÷5
equals 200
2: 90 is 250% of 36
3: 4: 20*100 =
(4*100): 20 =
400: 20 = 20
Please need help thank you
Answers
Answer: The answer is 9 flowers. Hope this helps!
Step-by-step explanation:
1. Ali mula mengulangkaji mata pelajaran matematik pada pukul 8.10 p.m.
Dia tamat mengulangkaji pada pukul 10.05 p.m. Berapa lamakah Ali
mengulangkaji mata pelajaran matematik?
Answers
A mail man leaves home and rides his bike due east for two miles. He drops off a paper at a house. He then turns and travels for 1 mile on a street that is angled north from the first street by 35 degrees. He stops to rest. His pet bird escapes from home and flies directly to where he is resting. How far and in what direction does the bird fly?
Answers
Answer:
I was trying to search it but couldn't find anything I am not tryin to steal points but ;-;
see attachment, Im confused.
Answers
Answer: what attachment I don’t seee nun
Step-by-step explanation:
Answer:
A=4,4 B= -6,2 C=8,8
Step-by-step explanation:
just look at it the x-axis is the middle line and the y-axis is the up and down line you put x-axis first not y
Someone please help with this it’s due soon!! I’ll mark brainliest
Answers
Answer:
A. (1,7)
Step-by-step explanation:
The format when pairing coordinates and coordinate plane is
(X,Y) a.k.a. (horizontal,vertical) That is where the other two lines intersect
Clark needs to buy some new glasses. He has $70 to spend and the glasses that he wants only costs $30. He wants to spend the remainder of his money on new capes. Each cape costs $8. Which inequality represents the number of capes he can purchase? (5 points)
a
x ≥ 5
b
x ≤ 11
c
x ≤ 5
d
x ≥ 11
Answers
Answer: its either A or C, but im p sure its C
PLEASE HELP MEEEEEEEE
Answers
-4^2 = -16
(-4)^2 = 16
Hope this helps!
Answer:
I'm pretty sire its c
Step-by-step explanation:
with parentheses u get a positive 16 but qithout you het negative 16
what is the rate of leaking
Answers
An airplane compartment can hold thirty-six pieces of luggage. If a small plane had sixteen compartments, how many pieces of luggage could they hold
Answers
Is (10, 6) a solution to the inequality y ≤ 3x + 2?
Answers
Answer:
yes
Step-by-step explanation:
because 10<20 so ten is less than or equals to 20
Keej is planning a road trip and needs to budget for gas. His car gets 26 mpg. He expects to drive 1092 miles. If a gallon of gas costs $1.69, how much should Keej budget to spend on gas
Answers
Answer:
if it is addition here 109369 or subtraction here 1090.04
Step-by-step explanation:
add or subtract
choose the highest HCF of 6xy^3 and 9x^2y
A.x^2y^3
B.3xy
C.54x^3y^4
D.18x^2y^3
Answers
Answer:
3xy.
Step-by-step explanation:
HCF of 6 and 9 = 3.
HCF of x and x^2 = x.
HCF of y^3 and y = y.
So that would be 3xy.