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3 years ago

8

Maria’s swim team consists of 6 sixth graders, 15 seventh graders, and 9 eighth graders. What is the probability that the captai

n will be an eighth grader? ( the total students go on the bottom of the ratio, the total number of 8th graders go on the top...reduce if possible)

1 answer:

Delvig [45]3 years ago

5 0

Answer: 9 out of 30

Step-by-step explanation:

so if worng

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GEOMETRY SIDE LENGTHS

PilotLPTM [1.2K]

Answer:

I believe that the third answer is correct..... but I'm not positive.

Step-by-step explanation:

if you get the third side of the triangle to be 71 then it would go first. Then it would go to 45-55. And lastly to 71-45

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3 years ago

-2^x+3=-3^-x-2 solve for x

Sindrei [870]

Answer:

x = 2.34373881

There you go

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3 years ago

D=rt for r<br> solve for the specified variable

Harlamova29_29 [7]

Answer:

r=d/t

Step-by-step explanation:

d=rt

we are to make r the subject of the formula, so we remove t from the rhs.

we do this by dividing both sides by t

d divided by t= d/t and rt divided by t = r

therefore d/t =rt/t

= r=d/t

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2 years ago

Connor believed that he did not do well in his ABC physics test. All ABC physics test scores are normally distributed with a mea

jenyasd209 [6]

Answer:

Yes! he passed

Step-by-step explanation:

8 0

3 years ago

Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5

zaharov [31]

Answer:

31

Step-by-step explanation:

The series are given as geometric series because these terms have common ratio and not common difference.

Our common ratio is 2 because:

1*2 = 2

2*2 = 4

The summation formula for geometric series (r ≠ 1) is:

$\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}$ or $\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}$

You may use either one of these formulas but I’ll use the first formula.

We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.

$\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}$

Therefore, the solution is 31.

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Summary

If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.

Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as $\displaystyle \large{a_{n-1} \cdot r = a_n}$ meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as:

$\displaystyle \large{r=\frac{a_{n+1}}{a_n}}$

Once knowing which sequence or series is it, apply an appropriate formula for the series. For geometric series, apply the following three formulas:

$\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}\\\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}$

Above should be applied for series that have common ratio not equal to 1.

$\displaystyle \large{S_n=a_1 \cdot n}$

Above should be applied for series that have common ratio exactly equal to 1.

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Topics

Sequence & Series — Geometric Series

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Others

Let me know if you have any doubts about my answer, explanation or this question through comment!

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7 0

3 years ago