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3 years ago

Which steps could be used to solve this story problem?

Mathematics

1 answer:

Airida [17]3 years ago

8 0

C. Multiply $ 5 by 3, multiply $ 3 by 4, then multiply $ 13 by 3....then add the products together

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Given the following scores on a 30-point quiz, what is the frequency of a score of 27?

kiruha [24]

Answer:

Step-by-step explanation:

The frequency is how many times the score shows up in the data set

21,<u> 27</u>, 20, 29, 23, 21, 21, <u>27</u>, 26, 25

27 shows up 2 times so the frequency is 2

7 0

3 years ago

Read 2 more answers

Find the sum of the geometric series 512+256+ . . .+4

mario62 [17]

$\bf 512~~,~~\stackrel{512\cdot \frac{1}{2}}{256}~~,~~...4$

so, as you can see above, the common ratio r = 1/2, now, what term is +4 anyway?

$\bf n^{th}\textit{ term of a geometric sequence}\\\\a_n=a_1\cdot r^{n-1}\qquad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\a_n=+4\end{cases}$

$\bf 4=512\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{4}{512}=\left( \cfrac{1}{2} \right)^{n-1}\\\\\\\cfrac{1}{128}=\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{1}{2^7}=\left( \cfrac{1}{2} \right)^{n-1}\implies 2^{-7}=\left( 2^{-1}\right)^{n-1}\\\\\\(2^{-1})^7=(2^{-1})^{n-1}\implies 7=n-1\implies \boxed{8=n}$

so is the 8th term, then, let's find the Sum of the first 8 terms.

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\n=8\end{cases}$

$\bf S_8=512\left[ \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right]\implies S_8=512\left(\cfrac{1-\frac{1}{256}}{\frac{1}{2}} \right)\implies S_8=512\left(\cfrac{\frac{255}{256}}{\frac{1}{2}} \right)\\\\\\S_8=512\cdot \cfrac{255}{128}\implies S_8=1020$

7 0

3 years ago

PLEASE HELP NO ONE IS ANSWERING ANY QUESTION I ASK!!!!

Xelga [282]

Answer:

sorry in dont know the ans

5 0

3 years ago

If theta is an acute angle, solve the equation tangent theta equals four fifths

rusak2 [61]

Answer:

$\theta=38.7\degree$

Step-by-step explanation:

We want to solve $\tan \theta=\frac{4}{5}$ given that $\theta$ is acute.

We take tangent inverse of both sides to get:

$\theta=\tan^{-1}(\frac{4}{5})$

Now set your calculator to degree mode and evaluate $\tan^{-1}(\frac{4}{5})$ to obtain:

$\theta=38.6598\degree$

To one decimal place, we have;

$\theta=38.7\degree$

5 0

3 years ago

What does the line x = -5 look like? Horizontal vertical tilted right upwards or tilted right downwards

oksian1 [2.3K]

Answer: Vertical Line

Step-by-step explanation: The line x = -5 is a vertical line at -5. All of the coordinates on the line have an x value of value, which results in a vertical line.

6 0

3 years ago