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Liula [17]
3 years ago
14

A salesman makes both a base salary and also a commission, which is a percentage of what he sells. Each month, if his sales tota

l s dollars, he makes a total of 2000 + 0.1s dollars. What does 2000 represent?
Mathematics
1 answer:
icang [17]3 years ago
7 0
2000 represents his salary and 0.1s is the commission.
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Compute the standard deviation for the set of data.<br><br> 13.3, 14.3, 15.3, 16.3, 17.3
Gennadij [26K]
<h3>Answer: Choice A)  sqrt(2)</h3>

==========================================

Explanation:

Add up all of the values

13.3+14.3+15.3+16.3+17.3 = 76.5

Then divide by 5 as there are n = 5 values in the set given

76.5/5 = 15.3

The mean of this data set is 15.3

-------------

Subtract the mean from each value to get this list of differences

x1 - mean = 13.3 - 15.3 = -2

x2 - mean = 14.3 - 15.3 = -1

x3 - mean = 15.3 - 15.3 = 0

x4 - mean = 16.3 - 15.3 = 1

x5 - mean = 17.3 - 15.3 = 2

-------------

Square each result from the previous section

(-2)^2 = 4

(-1)^2 = 1

(0)^2 = 0

(1)^2 = 1

(2)^2 = 4

Then add up those results

4+1+0+1+4 = 10

This is the sum of the squared differences.

------------

Divide the sum of the squared differences by n = 5 to get 10/5 = 2

The population variance is 2

The population standard deviation is the square root of this, so we get sqrt(2) as our final answer.

------------

Side note: This data set was fairly small, so computing the standard deviation by hand wasnt too painful. When it comes to larger data sets, it is smarter to use a spreadsheet program to easily calculate the answer. The drawback is that you wont be able to get an exact answer in terms of radicals (then again you could always use a CAS, which stands for "computer algebra system").

6 0
3 years ago
Consider that an = 4n-1 represents a sequence. What is the tenth term? A) 361 B) 512 C) 1,024 D) 262,144
kvv77 [185]
The Answer is C. Hopefully this will help you out.
4 0
3 years ago
Read 2 more answers
The following chart shows the number of rows in an auditorium and the total number of seats. What equation defines the number of
Anastaziya [24]

Answer:

<em>Answer: c) S=20R+60</em>

Step-by-step explanation:

<u>Linear Model</u>

The chart supplied shows the number of rows (R) in an auditorium and the total of seats (S).

We'll find the equation that relates them. The equation of a line can be expressed in the slope-intercept form:

S = mR + b

Where m is the slope and b is the intercept.

The slope is found by:

\displaystyle m=\frac{S_2-S_1}{R_2-R_1}

We'll use two sample points (20,460) and (45,960):

\displaystyle m=\frac{960-460}{45-20}=\frac{500}{25}

m = 20

The value of b can be found by using one of the points, for example (20,460), and having m=20:

460 = 20*20 + b

Thus: b = 460 - 400 = 60.

The equation is:

S = 20R + 60

You can test the other points and check they belong to the same line.

Answer: c) S=20R+60

5 0
3 years ago
Lyn invested $7,000 into a investment paying 3% interest, compounded semi-annually, twice a year. After five years, how much wou
gayaneshka [121]

Answer:

Option B.) $8,123.79

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=5\ years\\ P=\$7,000\\ r=0.03\\n=2  

substitute in the formula above  

A=\$7,000(1+\frac{0.03}{2})^{2*5}  

A=\$7,000(1.015)^{10}=\$8,123.79  

3 0
3 years ago
In how many ways can the letters HAPPY be arranged in a row?
ludmilkaskok [199]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
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