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Daniel [21]
2 years ago
10

Two friends compete with each other and five other, equally good, violinists for first and second chair in an orchestra, in a bl

ind competition What is the probability that the two friends end up as first and second chair together?
Mathematics
1 answer:
Darina [25.2K]2 years ago
4 0

Answer: 0.0476

Step-by-step explanation:

Given : Two friends and 5 other people compete with each other for first and second chair in an orchestra.

Total people in this competition= 2+5=7

By permutation , Number of ways to arrange 7 people= 7!

Also, number of ways for two friends end up as first and second chair together= 2 × 5!   [ 2 ways to arrange friends on first and second chair and 5! ways to arrange others]

I.e. Required probability = \dfrac{2\times5!}{7!}

=\dfrac{2!\times5!}{7\times6\times5!}\\\\=\dfrac{1}{7\times3}\\\\=\dfrac{1}{21}\\\\=0.0476

Hence, the probability that the two friends end up as first and second chair together = 0.0476

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the diagonal of a tv is 26 inches long assuming that this diagonal forms a tv pair 30-60-90 right triangles what are the exact l
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It is an application of Pythagorean Theorem

And it is clear that the lower angle is 30 and the apex angle is 60 (this is how always normal TVs look like) ... refer to the image I attached

So, to calculate the width and the length:

\frac{length}{26} =cos(30)\\~\\length=26*cos(30)=13 \sqrt{3} ~~in

\frac{width}{26} =sin(30)\\~\\width=26*sin(60)=13~~in


You can after that round the length to be 22.517 in



Hope you got the idea

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Transversal CD←→ cuts parallel lines PQ←→ and RS←→ at points X and Y as shown in the diagram. If m∠CXP = 106.02°, what is m∠SYD?
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How many terms are in the algebraic expression Negative 7 + 12 x 4 minus 5 y 8 + x?
BARSIC [14]

Answer:

Therefore,

There are Four i.e 4 terms in the expression,

-7+12x^{4}-5y^{8}+x

Step-by-step explanation:

Algebraic Expression:

An algebraic expression is a mathematical expression that consists of variables, numbers and operations.

  • Variables with the coefficient is called as Term.
  • Number is also a term.

Here the Expression is

-7+12x^{4}-5y^{8}+x

So,

-7 = One\ Term\\12x^{4}=Second\ Term\\-5y^{8}=Third\ Term\\x=Fourth\ Term

In all there are Four i.e 4 terms in the given expressions.

Therefore,

There are Four i.e 4 terms in the expression,

-7+12x^{4}-5y^{8}+x

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The answer is 1:00 PM


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Answer:

C

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Dot plot is usually in the form of stem & leaf. The only difference is that, stem& leaf presents the actual values while dot plot usually represent the value in dots. Hence, we can easily generate dot plot from stem & leaf!

For (a) dot plot and box plot, dot plot presents all the data while box plot presents only the five-num statistics, namely:

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2. 1st quartile (Q1)

3. median

4. 3rd quartile (Q3)

5. Maximum

And outliers, if any!

Thus, dot plot cannot directly generate box plot

For (b). Histogram and stem & leaf. Although both usually help us understand the skewness of data distribution, however, histogram deals with frequency distribution (counts of number of occurrence) and plotted on the intervals and stem&leaf list the values.

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