How many three course

Mathematics

1 answer:

Vanyuwa [196]2 years ago

5 0

s- steak f-fish c-chicken ca-cake p-pie

anser is 12 dinners

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I toss a coin 20 times. comes up "Heads" 7 times. What is the 1 point

Semmy [17]

Answer in fraction form = 7/20

Answer in decimal form = 0.35

Answer in percent form = 35%

These are three ways to say the same thing.

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Explanation:

To get the relative frequency, you divide the number of times heads comes up out of the number of tosses total. Reduce the fraction as much as possible. In this case, 7 and 20 have no factors (other than 1) in common. So the fraction 7/20 cannot be reduced further.

The fraction 7/20 converts to the decimal form 0.35 after using a calculator or long division.

0.35 converts to 35% after moving the decimal over to the right two spots.

7 0

3 years ago

Find the sum of the first 9 terms in the following geometric series.

Nat2105 [25]

Answer:

The sum of the first 9 terms is $S_9=\frac{511}{4}$ .

Step-by-step explanation:

To find the sum of the first $S_n$ terms of a geometric sequence use the formula

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

where, $n$ is the number of terms, $a_1$ is the first term and $r$ is the common ratio.

To find the common ratio, find the ratio between a term and the term preceding it.

Given the geometric sequence $64+32+16+...$ , the common ratio is

$r=\frac{32}{64} =\frac{1}{2}$

and the sum of the first 9 terms is

$S_9=\frac{64(1-(\frac{1}{2})^9)}{1-\frac{1}{2}}\\\\S_9=\frac{64\left(-\left(\frac{1}{2}\right)^9+1\right)}{\frac{1}{2}}\\\\S_9=\frac{64\left(-\frac{1}{2^9}+1\right)}{\frac{1}{2}}\\\\S_9=\frac{64\left(-\frac{1}{512}+1\right)}{\frac{1}{2}}\\\\S_9=\frac{64\left(1-\frac{1}{512}\right)\cdot \:2}{1}=\frac{128\left(-\frac{1}{512}+1\right)}{1}\\\\S_9=\frac{128\cdot \frac{511}{512}}{1}=\frac{511\cdot \:128}{512}=\frac{65408}{512}=\frac{511}{4}$