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kirill115 [55]
2 years ago
9

5/8 of the 64 musicians in a music contest are guitarist. Some of the guitarist play jazz solos, and the rest play classical sol

os. The ratio of the number of guitarist playing jazz solos to the total number of guitarist in the contest is 1:4. How many guitarist play classical solos in the contest?
Mathematics
1 answer:
BabaBlast [244]2 years ago
8 0
5/8 x 64= 40 x 1/4 =10   40 - 10 = 30 classical solos
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<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bm%7D%20%20%3D%20n%20" id="TexFormula1" title=" {2}^{m} = n " alt=" {2}^{m} =
sveta [45]

Answer:

\displaystyle n^3-\frac{1}{n^{2}}

Step-by-step explanation:

<u>Exponents Properties</u>

We need to recall the following properties of exponents:

(a^x)^y=(a^y)^x=a^{xy}

\displaystyle a^{-x}=\frac{1}{a^x}

We are given the expression:

2^m=n

We need to express the following expression in terms of n.

8^m-4^{-m}

It's necessary to modify the expression to use the given equivalence.

Recall 8=2^3 \text{ and }4 = 2^2. Thus:

(2^3)^m-(2^2)^{-m}

Applying the property:

(2^m)^3-(2^m)^{-2}

Substituting the given expression:

n^3-n^{-2}

Or, equivalently:

\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}

5 0
2 years ago
What does measuring the spread of a data set tell us, and why is that significant?
Ann [662]

Step-by-step explanation:

Measure of spread is used in describing the variability in a sample.

Examples of measure of spread are: Mean, Median and Mode.

A measure of spread helps in giving an idea of how well the mean, or mode, or median, whichever of the three measure of spreads we use, represents the data under consideration. If the spread of values in the data set is large, that means there a lot of variation between the values of the data set. It is always better to have a small spread.

5 0
3 years ago
Read 2 more answers
Math question down below
SIZIF [17.4K]
To get the average, you must add all together and divide by the amount of numbers there are

(-4 - 6 - 3 - 1 + 0 + 2 - 1 - 3)/ 8

(-16)/8 = -2

-2 is your average

hope this helps
5 0
3 years ago
Read 2 more answers
What is the value of Cos n 2π=???
faust18 [17]
If n is an integer, then cos(n(2<span>π))=1.

Take n=0, cos(2</span>π)=cos(0)=1, n=1, cos(2π)=1, n=2, cos(2(2π))=cos(4<span>π)=cos(0)=1...

If n is not an integer, well, ..... we don't know the value, which depends on the value of n.</span>
5 0
3 years ago
Solve for rrr: \dfrac{7}{10}=r-\left(-\dfrac{8}{5}\right) 10 7 ​ =r−(− 5 8 ​ )start fraction, 7, divided by, 10, end fraction, e
user100 [1]

Answer:

r = -9/10

Step-by-step explanation:

Given

7/10 = r - (-8/5)

Required

Solve for x

7/10 = r - (-8/5)

We start by opening the bracket

7/10 = r + (- -8/5)

7/10 = r + (8/5)

7/10 = r + 8/5

Subtract 8/5 from both sides

7/10 - 8/5 = r + 8/5 - 8/5

7/10 - 8/5 = r

Solve the fraction by taking their LCM

(7 - 16)/10 = r

-9/10 = r

Reorder the above

r = -9/10

Hence, the value of r is -9/10

3 0
3 years ago
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