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Katyanochek1 [597]
3 years ago
15

Find the mean, median, mode, and range of the data set.

Mathematics
1 answer:
kompoz [17]3 years ago
3 0

Answer:

mean 11.14

Median 10

mode 10.

Explanation

Mean is sum of data divide by number of data.

Mode is the most appearing number.

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Find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30 using synthetic division.
WITCHER [35]
Write the coeeficientes of the polynomial in order:

  | 1   - 5   6   - 30
  |
  |
  |
------------------------

After some trials you probe with 5

   | 1   - 5       6     - 30
   |
   |
5 |        5      0       30
-----------------------------
     1     0      6        0 <---- residue

Given that the residue is 0, 5 is a root.

The quotient is x^2 + 6 = 0, which does not have a real root.

Therefore, 5 is the only root. You can prove it by solving the polynomial x^2 + 6 = 0.
3 0
3 years ago
How many zeros should have 5 to have 72 dividers?
xenn [34]
Hello,

nice as problem.

| If\ a\ number\ x=a_1^{p_1}*a_2^{p_2}*a_3^{p_3}*....*a_n^{p_n}\\ the\ number\ of\ his\ dividers is:\\{p_1+1}*{p_2+1}*{p_3+1}*....*{p_n+1}
Here x has a power of 5 as divider and a power of 2 as divider (in order to make a power of 10.

5=5^1*2^0

50=5^1*(5^1*2^1)=5^2*2^1

500=5^1*(5^2*2^2)=5^3*2^2

50 000 000=5^8*2^7

Numbers of dividers: (8+1)*(7+1)=9*8=72








3 0
3 years ago
Leslie determined that the system of equations below has infinitely many solutions. Is she correct?
Nookie1986 [14]

Answer:

Leslie determined that the system of equations below has infinitely many solutions. Is she correct?  

x=4y-4

2x-8y=-24

A.Yes, Leslie is correct.

B. No, the solution is (-8,-24)

C. No, the solution is (0,-16)

<u>D. No, the system of equations has no solution. </u>

Step-by-step explanation:

you have to solve they as a pair of simultaneous equations and their is no solutions

if you need a more detailed explanation post the question again and i will write a detailed explanation

plz mark as brainliest


6 0
3 years ago
Read 2 more answers
Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer gam
AVprozaik [17]

Answer:

The equation would be 4x-15=21.

Step-by-step explanation:

Given;

Total Number of Video games = 21

Let the number of video game Nicholas has be 'x'.

Now Given:

Robert has 5 fewer games than Nicholas.

so we can say that;

number of video game Robert has = x-5

Also Given:

Charlie has twice as many games as Robert.

so we can say that;

number of video game Charlie has = 2(x-5)=2x-10

we need to write the equation.

Solution:

Now we can say that;

Total Number of Video games is equal to sum of number of video game Nicholas has, number of video game Robert has and number of video game Charlie has.

framing the equation we get;

x+x-5+2x-10=21\\\\4x-15=21

Hence The equation would be 4x-15=21.

On Solving we get;

Adding both side by 15 we get;

4x-15+15=21+15\\\\4x=36

Dividing both side by 4 we get;

\frac{3x}{4}=\frac{36}{4}\\\\x=9

Hence Nicholas has = 9 video games

Robert has = x-5= 9-5=4 video games

Charlie has = 2x-10 = 2\times9-10=18-10=8 video games

5 0
3 years ago
Read 2 more answers
What is the volume of a right circular cone if the circumference of the base is 125.6 ft and the height is 75 ft.?
Eddi Din [679]

Answer:

Hence the volume of the cone is 31384.52 cubic feet

Step-by-step explanation:

We must first need to understand how the volume of a cone is calculated.

It is simply calculated by multiplying the base area of the cone by the height, and dividing the result by 3.

This is :

Volume of cone = \frac{\pi r^2 h}{3}

we are not given the base area of the cone. However, we are given the circumference from which we can get the radius of the base.

Circumference =

2 \pi r=125.6ft\\r =125.6/2 \pi=19.99ft

hence the volume of the cone is

\frac{\pi (19.99)^2 75}{3}=31384.52ft^{3}

Hence the volume of the cone is 31384.52 cubic feet

3 0
3 years ago
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