1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natasha_Volkova [10]
2 years ago
10

Find the population variance of: 4 6 8 9 9 round to the nearest hundredth

Mathematics
1 answer:
soldi70 [24.7K]2 years ago
5 0

Answer:

Step-by-step explanation:

To find the population variance, we first need the mean:

\bar{x}=\frac{4+6+8+9+9}{5}=\frac{36}{5}=7.2 so the mean is 7.2. To find the population variance (which is almost exactly the same as the sample variance except for a small difference in the denominators of the formula) we have to take each number minus the mean, and then square the difference. Add together all these squared numbers and then divide by the number of numbers. Like this:

(4-7.2)^2=10.24\\(6-7.2)^2=1.44\\(8-7.2)^2=.64\\(9-7.2)^2=3.24\\(9-7.2)^2=3.24

Add together those numbers and divide them by 5:

\sigma=\frac{10.24+1.44+.64+3.24+3.24}{5}=\frac{18.8}{5}=3.76

You might be interested in
For Number 6 and 7 It says You rewrite the expression this time
GarryVolchara [31]
We can't help unless we know what to "rewrite"
7 0
3 years ago
How does the experimental probability of choosing a yellow tile compare with the theoretical probability of choosing a yellow ti
Evgen [1.6K]

Answer:

The experimental probability is the same as the theoretical probability.

Step-by-step explanation:

The given data is:

color            observed frequency               relative frequency

Red                            15                                          3/10

Blue                           12                                          6/25

Green                         8                                           4/25

Yellow                        10                                          1/5

Purple                         5                                           1/10

The experiment was repeated 50 numbers of times.

Solution:

Theoretical probability is basically what is expected to happen without experimenting and experimental probability is what actually happens as a   results of an experiment.

Theoretical probability =  favorable outcomes / all possible outcomes

Experimental probability = no. of times outcome occurs / no. of times

                                                                                      experiment is performed The experimental probability  and theoretical probability are same i.e. 1/5

This can be seen from the table:

Experimental probability = 1/5

As the experiment is performed 50 times and the outcome (yellow tile) occurs 10 times so using the formula of experimental probability:

10/50 = 1/5

Now as given, there are 5 number of tiles (red,blue,green,yellow,purple) so number of possible outcomes is 5. Yellow tile among these 5 tiles is 1. So the favorable outcomes is 1. So looking at the given formula of theoretical probability:

1/5

So

experimental probability = 1/5

theoretical probability = 1/5

Hence the experimental probability is the same as the theoretical probability.

4 0
2 years ago
Is 4, 6, 7 a pythagorean triple
madam [21]

Answer:

Yes

Step-by-step explanation:

Hope this helps!

Good Luck!

7 0
2 years ago
Read 2 more answers
Solve for x and y matrix
charle [14.2K]

Answer:

x=-1

y=5

Step-by-step explanation:

\begin{pmatrix}x&y\\ \:-1&4\end{pmatrix}\begin{pmatrix}2&5\\ \:4&1\end{pmatrix}=\begin{pmatrix}18&0\\ \:14&-1\end{pmatrix}

\begin{pmatrix}x&y\\ -1&4\end{pmatrix}\begin{pmatrix}2&5\\ 4&1\end{pmatrix}

=\begin{pmatrix}x\times \:2+y\times \:4&5x+y\\ 14&-1\end{pmatrix}

=\begin{pmatrix}18&0\\ 14&-1\end{pmatrix}

\begin{bmatrix}x\times \:2+y\times \:4=18\\ 5x+y=0\end{bmatrix}

x=-1

y=5

<u>OAmalOHopeO</u>

8 0
2 years ago
5n + 3/4n = 2<br> Solve for n
vovangra [49]
5n+3/4n=2
20n+3n/4=2
23n/4=2
23n=8
n=8/23
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the solution for this system of equations?<br>x-6y+4z=2<br>2x+4y-8z=16<br>x-2y=5
    8·1 answer
  • A bus traveled 120 mi in 2.5 h. After picking up new passengers, it traveled another 105 mi in 2 h.
    8·2 answers
  • Write the following equation in slope intercept : <br> 4x + 3y = 9
    7·2 answers
  • Ben has a cell phone plan that provides 200 free minutes each month for a
    14·1 answer
  • . (02.05 MC) Side AB = 5, side BC = 6, side DE = 5, and side EF = 6. What additional information would you need to prove that ΔA
    12·1 answer
  • The point (-7,1) when reflected across the origin maps onto
    14·1 answer
  • Solve the following absolute value equation. If needed, write your answer as a fraction reduced to lowest terms. Please explain
    14·1 answer
  • Simplify √0.08^12
    9·2 answers
  • Find area of the shaded region.
    11·1 answer
  • Colvert the decimal to percent: 0.272
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!