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Step2247 [10]
3 years ago
9

A band has 36 members. They are arranged into 6 equal rows. How many band members are in each row? Can the same 36 members be pl

aced into exactly 7 equal rows? Why or why not?
Mathematics
1 answer:
Galina-37 [17]3 years ago
6 0

Answer:

6 people would be in each row // It isn't possible for there to be 7 equal rows

Step-by-step explanation:

36 members/6 rows= 6 people per row // 36 members/7 rows= 5.14..... people per row (just doesn't work!)

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Find the variance of this probability distribution. Round to two decimal places.​
attashe74 [19]

Answer:

Variance = 4.68

Step-by-step explanation:

The formula for the variance is:

\sigma^{2} =\frac{\Sigma(X- \mu)^{2}}{N} \\or \\ \sigma^{2} =\frac{\Sigma(X)^{2}}{N} -\mu^{2} \\

Where:

X: Values \\\mu: Mean \\N: Number\ of\ values

The mean can be calculated as each value multiplied by its probability

\mu = 0*0.4 + 1*0.3 + 2*0.1+3*0.15+ 4*0.05=1.15

\frac{\Sigma (X)^{2}}{N} =\frac{(0^{2}+1^{2}+2^{2}+3^{2}+4^{2})}{5} =6

Replacing the mean and the summatory of X:

\sigma^{2} = \frac{\Sigma(X)^{2}}{N} -\mu^{2} \\= 6 - 1.15^{2}\\= 4.6775

4 0
3 years ago
Write In Simplifed Form 14(5x-8y)
MrMuchimi
<span>Unary minus: -8
</span><span>Multiple: 5 * (-8) = -40
</span><span>Multiple: 14 * (-40) = -560
The answer is -560

</span>
4 0
3 years ago
The pep club and honor society are joining forces to raise money for school improvements.
Fittoniya [83]

Answer:

Part a) The graph in the attached figure

Part b) see the explanation

Part c) see the explanation

Step-by-step explanation:

Let

x ----> represent pep club donations

y ---> represent donations raised by the honor society

we have

x+y\geq 500 ----> inequality A

The solution of the inequality A is the shaded area above the solid line x+y=500

x\geq 100 ----> inequality B

The solution of the inequality B is the shaded area at right of the solid line x=100

Part a) Graph the system of inequalities

using a graphing tool

The solution of the system of inequalities is the shaded area

Remember that the variables x and y cannot be a negative number

see the attached figure

Part b) What does the point (300,100) represent? Is it a viable solution?

The point (300,100) means that the donations raised for pep club  was $300 and the donations raised by the honor society was $100

The point  (300,100) is not a viable solution, because the point not belong to the shaded area of the solution of the system of inequalities

<u><em>Verify</em></u>

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality  

For x=300, y=100  

<em>Inequality A</em>

300+100\geq 500      

400\geq 500  ----> is not true

The ordered pair not satisfy the inequality A

therefore

The point (300,100) is not a viable solution  

Part c) What does the point (500,200) represent? Is it a viable solution?

The point (500,200) means that the donations raised for pep club  was $500 and the donations raised by the honor society was $200

The point  (500,200) is a viable solution, because the point belong to the shaded area of the solution of the system of inequalities

<u><em>Verify</em></u>

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality  

For x=500, y=200  

<em>Inequality A</em>

500+200\geq 500      

700\geq 500  ----> is true

The ordered pair satisfy the inequality A

<em>Inequality B</em>

500\geq 100 ---> is true

The ordered pair satisfy the inequality B

therefore

The point (500,200) is a viable solution  

3 0
3 years ago
Complete the following equation using &lt;, &gt;, or = 100% ___ 1
Lady_Fox [76]
100% = 1

Because:to have 100 percent of something, you must have one whole. One whole equals 100% and the same backwards. I hope this helps!

So, the correct answer is equals =
3 0
3 years ago
Read 2 more answers
Graph the opposite of the opposite of 10 on the number line
Afina-wow [57]

Answer:

the opposite of 10 is -10

Step-by-step explanation:

Graph it on -10

6 0
3 years ago
Read 2 more answers
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