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3 years ago

Evaluate seven pi without a calculator

1 answer:

5 0

Hello!

To evaluate this without a calculator, let's multiply 7 and 3.14 (the approximation for pi).

7
3.14
______
21.98 (Rounds to 22)

21.98 is your approximate answer. Hope I helped! :3

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Which best describes the correlation between the data sets of the following situation?

Solnce55 [7]

no correlation because as the number of people who biys tickets it doesn affect the value of the grand prize since it is chosen before the amount of tickets are sold

7 0

3 years ago

1. You are given the 3rd and 5th term of an arithmetic sequence. Describe in words how to determine the general term.

kozerog [31]

Step-by-step explanation:

1. In an arithmetic sequence, the general term can be written as

xₙ = y + d(a-1), where xₐ represents the ath term, y is the first value, and d is the common difference.

Given the third term and the fifth term, and knowing that the difference between each term is d, we can say that the 4th term is x₃+d and the fifth term is the fourth term plus d, or (x₃+d)+d =

x₃+2d. =x₅ Given x₃ and x₅, we can subtract x₃ from both sides to get

x₅-x₃ = 2d

divide by 2 to isolate d

(x₅-x₃)/2 = d

This lets us solve for d. Given d, we can say that

x₃ = y+d(2)

subtract 2*d from both sides to isolate the y

x₃ -2*d = y

Therefore, because we know x₃ and d at this point, we can solve for y, letting us plug y and d into our original equation of

xₙ = y + d(a-1)

Given the third and fifth term, with a common ratio of r, we can say that the fourth term is x₃ * r. Then, the fifth term is

x₃* r * r

= x₃*r² = x₅

divide both sides by x₃ to isolate the r²

x₅/x₃ = r²

square root both sides

√(x₅/x₃) = ±r

One thing that is important to note is that we don't know whether r is positive or negative. For example, if x₃ = 4 and x₅ = 16, regardless of whether r is equal to 2 or -2, 4*r² = 16. I will be assuming that r is positive for this question.

Given the common ratio, we can find x₆ as x₅ * r, x₇ as x₅*r², and all the way up to x₁₀ = x₅*r⁵. We don't know the general term, but can still find the tenth term of the sequence

8 0

3 years ago

kyle has a total of 16 coins in his pocket. all the coins are nickels or quarters, and they have a total value of $2.20. how man

madreJ [45]

Answer:

The number of nickels are 9.

Step-by-step explanation:

Let us assume that the number of the nickels be n.

Let us assume that the number of the quarters be q.

As given

kyle has a total of 16 coins in his pocket.

Than the equation becomes

n + q = 16

As given

They have a total value of $2.20.

1 nickel = 0.05 dollars

1 quarters = 0.25 dollars

Than the equation becomes

0.05n + 0.25q = 2.20

As simplify the above

5n + 25q = 220

Than the equation becomes

n + q = 16 and 5n + 25q = 220

Multiply n + q = 16 by 5 and subtracted from 5n + 25q = 220 .

5n - 5n + 25q - 5q = 220 - 80

20q = 140

$q = \frac{140}{20}$

q = 7

Put in the equation n + q = 16 .

n + 7 = 16

n = 16 - 7

n = 9

Therefore the number of nickels are 9.

6 0

3 years ago

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Data that's displayed randomly on a scatter plot graph illustrates (please help asap!)

kenny6666 [7]

No correlation = scattered randomly on a pilot graph

4 0

3 years ago

Which value does not represent the probability of an event?<br> A. 0.0 B. 0.5 C. 1.0 D.2.0

Svetllana [295]

Answer:

D. 2.0

Step-by-step explanation:

Values in probability when in decimal form, can at most go up too 1.0, or a 100% chance for it to occur. There can not and will not be a 200% chance for it to occur in real world scenarios.

6 0

3 years ago

Read 2 more answers