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4 years ago

Find the sum of (-3)^(n-1) divided by 4^n.

1 answer:

7 0

<span>(-3)^n-1 / 4^n
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all I can see is that, by simplifying, you can get (-1/3) * (-3/4)^n.

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The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,

tensa zangetsu [6.8K]

We have the following data set:

2,7,15,3,12,9,15,8,3,10

The range is the difference between the highest and lowest values in the set, to find the range, order the data set from least to greatest.

2,3,3,7,8,9,10,12,15,15

Then,

$\begin{gathered} \text{Range}=15-2 \\ \text{Range}=13 \end{gathered}$

Mean is represented by the following expression:

$\text{Mean}=\frac{\text{Sum of all data points}}{Number\text{ of data po}ints}$ $\text{Mean}=\frac{84}{10}=8.4$

Population variance formula looks like this:

$\begin{gathered} \sigma^2=\frac{\sum^{}_{}(x-\mu)^2}{N} \\ \text{where,} \\ \sigma^2=\text{population variance} \\ \sum ^{}_{}=addition\text{ of} \\ x=\text{each value} \\ \mu=population\text{ mean} \\ N=\text{ number of values in the population} \end{gathered}$

Then, substituting:

$\begin{gathered} \sigma^2=\frac{(2-14)^2+(3-14)^2+\cdots+(15-14)^2}{10} \\ \sigma^2=20.44 \end{gathered}$

For the standard deviation:

$\begin{gathered} s=\sqrt[]{\frac{\sum ^{}_{}(x-\mu)^2}{N}} \\ s=4.521 \end{gathered}$

5 0

2 years ago

You use 4 gallons of water on 30 plants. At that rate how much water will you need for 45 plants?

Alja [10]

You would use 6 gallons of water to water 45 plants
4=30
$\frac{45}{30}$ = $\frac{3}{2}$
$\frac{3}{2}$ of 4 gallons = 6 gallons

8 0

4 years ago

Read 2 more answers

Which of the following is the best definition of vertical angles?

Lilit [14]

Step-by-step explanation:

Very quick and effortless example of vertical angles in the attached image. When 2 straight lines intersect, the 2 angles opposite each other at that point are vertical angles, and they are always congruent.

I'd say it's the 3rd option:

"Vertical angles are a pair of non-adjacent angles formed by two intersecting lines."

but any of the first three could be technically true really. Adjacent angles are 2 angles that share a side, and vertical angles cannot share one.

8 0

3 years ago

What factors would best account for the rise in population in 1850

goldfiish [28.3K]

Are there any Choices?

6 0

3 years ago

You are watching a game of poker on ESPN with your friends. You are trying to figure out the value of each colored chip that is

klasskru [66]

9514 1404 393

Answer:

N = 5; only one rate is possible

Step-by-step explanation:

The values of the sets of chips are ...

12 +9N +8N^2 +4N^3

and

2 +N +N^3 +N^4

We want to find N such that the difference in value is zero:

N^4 -3N^3 -8N^2 -8N -10 = 0

A graphing calculator can show us the roots. There is only one positive real root to this equation: N = 5.

The exchange rate N is 5. Only one rate is possible.

3 0

3 years ago