identify the first four numbers in an arithmetic sequence modeled by the formula below. a1 = 10 an = an-1+5

Answer:

it is B

Bbbbbbbb

The line plot shown C in the figure is correct.

A line plot is a way to display data along a number line. Line plots are also called dot plots. Below is an example of a line plot showing the distance 17 turtles traveled in an hour (we know it is 17 turtles because there are 17 dots on the line plot).

here, we have,

Given that the recorded lengths of ribbon pieces which is used in project is given..

Frequency refers to the number of times an event or  value occurs. A frequency table is a table that lists items and shows how many times those items occurred.

A line plot displays the data using a no. line.

Firstly, we will fimd the frequency of each value

Values                               Frequency

9 (7/8)                                        1

10(4/8)=10(1/2)                           1

10(5/8)                                       1

10(6/8)=10(3/4)                          1

10(7/8)                                       1

11(2/8)=11(1/4)                             3

Option A is incorrect because 11(2/8) has no data values in the line plot (i.e. frequency = 0)

Option B is incorrect because 11(2/8) has no data values in the line plot (i.e. frequency = 0)

Option C is correct because the frequency distribution of the data is represented correctly in the line plot.

Option D is incorrect because 11(2/8) has 2 data values in the line plot (i.e., frequency = 2)

Hence, the line plot which correct shows the data is third line plot.

Learn more about line plot from here

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Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that [tex]p = 0.304[/tex]

100 such adults

This means that [tex]n = 100[/tex]

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803[/tex]

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Answer:

Distance is 10

Step-by-step explanation:

The x distance is 8 - 0 = 8

The y distance is 4 - (-2) = 6

Full distance is [tex]\sqrt{6^2+8^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]

Answer:

The distance between the points is 10.

Answer:

600

Step-by-step explanation:

.7x = 420

x = 420/0.7

x = 600

Answer:

120

Step-by-step explanation:

number of hours sold = fraction of houses sold this year x number of houses built last year

4/7 x 210 = 120 houses

Answer:

k = -8

Step-by-step explanation:

24 = 5k - 8k

24 = -3k

k = 24/(-3)

k = -8

Answer:

k = -8

Step-by-step explanation:

Solve for k

First we re arrange our equation so that it look simple to calculate.

24=5k-8k

5k-8k = 24

-3k = 24

Divide -3 both side to get the value of k

 k = -8

To prove substitute k into formula:

5k-8k = 24

5 (-8) - 8 (-8) = 24

-40 + 64 = 24

24 = 24

Answer:

Well yes, because it should have cost $3.2 PER gallon

Step-by-step explanation:

Divide 40 by 12.5 to find out how much of a per gallon costs! Hope it helps.

Answer: 4 7/6

Step-by-step explanation:

Answer:

j

Step-by-step explanation:

Answer:

$9052

Step-by-step explanation:

a= starting car price

(1-r)= exponential decay

r= rate

t= # of years

Equation:

a(1-r)^t

Plug in the numbers.

a= 24000   r=15%=0.15   (1-r)= 1-0.15 = 0.85  

a(1-r)^t      =      24000(0.85)^6

               =    24000(0.37714951562)

                  = 9051.588375

                    = 9052

Answer:

36x

Step-by-step explanation:

To do something like that you have to out together the like values. In this case both 12x and 13x have the same variable so you can multiply. 12 x 3 = 36 and the stays there so the answer would be 36x

hope this helped :)

Answer:

30 m

Step-by-step explanation:

Answer:

it is exactly 80m it is not 30m

Answer:

B) b=13

Step-by-step explanation:

13-4x is the same as -4x+13

Answer:

24

Step-by-step explanation:

120/6=20

300/15=20

360/18=20

480/20=24

Check:

480/24=20

Answer: 20???

Step-by-step explanation:

Answer:

$3.25 per gallon

Step-by-step explanation:

Answer: he paid 3.25 for each gallon

Step-by-step explanation:

Divide the money (16.25) by the gallon (5) and get 1 gallon for 3.25

Answer:

D and E

Step-by-step explanation: Math

Answer:

d and e

Step-by-step explanation:

419.56-75.68=343.88

199.75+143.712=343.462

Given:

Radius of the cone = 6

Slant height of the cone = 10

To find:

The lateral area, surface area and volume of the cone.

Solution:

Let h be the height of the cone. By Pythagoras theorem, we get

[tex]10^2=(6)^2+h^2[/tex]

[tex]100=36+h^2[/tex]

[tex]100-36=h^2[/tex]

[tex]64=h^2[/tex]

Taking square root on both sides, we get

[tex]\sqrt{64}=h[/tex]

[tex]8=h[/tex]

The lateral area of a cone is:

[tex]A_L=\pi rl[/tex]

[tex]A_L=\pi (6)(8)[/tex]

[tex]A_L=48\pi[/tex]

The surface area of a cone is:

[tex]A_S=\pi rl+\pi r^2[/tex]

[tex]A_S=\pi (6)(8)+\pi (6)^2[/tex]

[tex]A_S=48\pi +36\pi[/tex]

[tex]A_S=84\pi[/tex]

Volume of cone is:

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

[tex]V=\dfrac{1}{3}\pi (6)^2(8)[/tex]

[tex]V=\dfrac{288}{3}\pi [/tex]

[tex]V=96\pi [/tex]

Therefore, the lateral area of a cone is [tex]48\pi[/tex] sq. units, the surface area of a cone is [tex]84\pi[/tex] sq. units and the volume of the cone is [tex]96\pi[/tex] cubic units.

Answer:

C

Step-by-step explanation:

[tex] {x}^{3} + 12 {x}^{2} + 36x \\ = x( {x}^{2} + 12x + 36) \\ = x( {x + 6)}^{2} [/tex]

Answer:

The answer is Equivalent 8/12 is equivalent to 2/3 so they are equivalent

Step-by-step explanation:

Answer:

Step-by-step explanation:

A tariff is a tax imposed by a government of a country or of a supranational union on imports or exports of goods. Besides being a source of revenue for the government, import duties can also be a form of regulation of foreign trade and policy that taxes foreign products to encourage or safeguard domestic industry

Answer:

Step-by-step explanation:

2x - 5 ≤ 6

Add 5 to both sides

2x -5 +5 ≤ 6 +5

2x ≤ 11

Divide both sides by 2

2x/2 ≤ 11/2

x ≤ 5.5

Answer:I hope the following example will help you

Step-by-step explanation:

Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.

P = $1000, t = 2 years, r = 0.08.

A = 1000(1+0.08(2)) = 1000(1.16) = 1160

Answer:

Step-by-step explanation:

32 cm

Answer:

[tex]\frac{69420}{(x+1)(x-2)}[/tex]

Step-by-step explanation:

An asymptote of a vertical line is one that the graph can't exactly reach, but can get as close as you want it to be (as long as the distance is not 0), while the x- or y-coordinates tend to plus/minus infinity. An example of where this happens is when filling in the x-value would result in a zero in the denominator, hence the answer.

Answer:

P(h, k) → P'(k, -h)

Step-by-step explanation:

Rule to be followed,

If a point P(h, k) is rotated 90° clockwise about the origin, coordinates of the image point P' will be,

P(h, k) → P'(k, -h)  

Similarly, all vertices of the parallelogram PQRS will follow the same rule when rotated 90° about the origin to form P'Q'R'S'.

Answer:

H⁣⁣⁣⁣⁣ere's l⁣⁣⁣⁣ink t⁣⁣⁣⁣o t⁣⁣⁣⁣he a⁣⁣⁣⁣nswer:

...................

Step-by-step explanation:

Answer: I think its B

Step-by-step explanation: hoped this helped :)