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Semenov [28]
3 years ago
14

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people ans

wered that they generally sell five cars; nineteen generally sell six cars; twelve generally sell seven cars; nine generally sell eight cars; eleven generally sell nine cars. Calculate the following. (Round your answer to two decimal places.)Data Value (# cars) Frequency Relative Frequency Cumulative Relative Frequency
Mathematics
1 answer:
ss7ja [257]3 years ago
8 0

Answer:

Step-by-step explanation:

From the information given:

We can compute the required calculations into a table as shown below.

\mathbf{Data \ value  }       \mathbf{ Frequency   } \mathbf{Relative  \ frequency}   \mathbf{Cumulative \  relative }

                                                                                              \mathbf{Frequency}

5                                     14                14/65 = 0.22                           14  

6                                     19                19/65 = 0.29               19+14 = 33

7                                      12                12/65 = 0.19               33+12 = 45

8                                       9                 9/65 = 0.14               45 + 9 = 54

9                                 <u>     11     </u>            11/65  = 0.17              54 + 11 = 65

                                        65

Note: that the relative frequency is determined by  dividing each value in the frequency by the total of the frequency.                        

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The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24?
GREYUIT [131]

Answer:

Step-by-step explanation:

If we divide 24 by 6, we get 4, which is the other factor of 24 when given the one factor of 6. Same goes here. In order to find out what the other factor of y^2-10y+24=0 is when given one factor of y - 4, we simply divide the second degree polynomial by y - 4 to get the quotient. The quotient, then, is the other factor. Synthetic division is the easiest way to do this.

If y - 4 is the factor, then by the Zero Product Property, y - 4 = 0 and y = 4. Setting up synthetic division:

4|   1    -10     24

____________

The rule is to start by bringing down the first term, multiplying it by the number outside, then putting that product up under the next term in line:

4|   1     -10     24

<u>              4           </u>

     1

Then add the column, multiply the sum by the number outside, and put that product up under the next term in line:

4|    1     -10     24

<u>                4    -24</u>

      1      -6

And add the last column and that is the remainder. We get a 0 remainder. That means that y - 4 goes evenly into the polynomial and the other factor we are looking for is found in the numbers under the addition line. These numbers are the leading coefficients of the depressed polynomial, the polynomial that serves as the other factor: 1y - 6.

Therefore, the 2 factors that multiply together to give us y^2-10y+24=0 are (y - 4)(y - 6) and we can check ourselves by multiplying this out by FOILing to see if the result is the polynomial we started with. It is, so we're all done!

8 0
3 years ago
Write these series with summation notation. 1,4,9,16...
maksim [4K]

Answer:  \sum\limits_{i=1}^{n} n^2 , where n is a natural number.

Step-by-step explanation:

A series can be represented in a summation or sigma notation.

Greek capital letter, ∑ (sigma), is used to represent the sum.

For example: \sum\limits_{n=1}^{\infty} n=1+2+3+4+5+..., where n is a natural number.

The given series : 1,4,9,16 which can be written as 1^2, 2^2, 3^2,... .

So , we can write it as

\sum\limits_{n=1}^{\infty} n^2 , where n is a natural number.

7 0
3 years ago
Explain how to distinguish between a rational number<br> and an irrational number.
Andrews [41]

Answer:

An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.S

Step-by-step explanation:

An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.S

4 0
4 years ago
Read 2 more answers
If Point A located at (-3,6) is reflected across the y axis, and then across the x axis, where will Point A' be located?
inna [77]

Answer:

(3.6)

Step-by-step explanation:

for this the y cordinates are the same while the x points are the opposite signs

6 0
3 years ago
Please help me!<br><br><br><br> Which number equals (3)-3?
vichka [17]

Answer:

1/27

Step-by-step explanation:

Its 1/27 because you have to multiply (3)-3,

3 times 3 times 3

that will give you positive 27 so if your on usatestprep its <u>positive  1/27</u>

4 0
3 years ago
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