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1 year ago

3. Tom, Sam and Matt are counting drum beats.

Mathematics

1 answer:

just olya [345]1 year ago

6 0

Answer:

When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

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The owner of a manufacturing plant employs eighty people. As part of their personnel file, she asked each one to record to the n

wariber [46]

Answer:

Mean of the sample = 27.83

The variance of the the sample = 106.96

Standard deviation of the sample = 10.34

Step-by-step explanation:

Step(i):-

Given random sample of six employees

x 26 32 29 16 45 19

mean of the sample

$x^{-} = \frac{26+32+29+16+45+19}{6} = 27.83$

Mean of the given data = 27.83

Step(ii):-

Given data

x : 26 32 29 16 45 19

x - x⁻ : -1.83 4.17 1.17 -11.83 17.17 -8.83

(x - x⁻)² : 3.3489 17.3889 1.3689 139.9489 294.80 77.9689

∑ (x-x⁻)² = 534.8245

Given sample size 'n' =6

The variance of given data

S² = ∑(x-x⁻)² / n-1

$S^{2} = \frac{534.8245}{6-1} = 106.9649$

The variance of the given sample = 106.9649

Step(iii):-

Standard deviation of the given data

$S = \sqrt{variance} = \sqrt{106.9649} =10.3423$

Standard deviation of the sample = 10.3423

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2 years ago

To evaluate the effect of a treatment, a sample of n=8 is obtained from a population with a mean of μ=40 , and the treatment is

Westkost [7]

Answer:

Step-by-step explanation:

Test statistic:

$t=\frac{35-40}{\sqrt{\frac{32}{8} } }$

$t=-2.5$

$df=8-1=7$

$critical, t ,values=+/-2.365$

here test statistic lie in rejection region,that why null hypothesis fails

so Yes, its significant.

Test statistic:

$t=\frac{35-40}{\sqrt{\frac{72}{8} } }$

$t=-1.67$

$df=8-1=7$

$critical, t ,values=+/-2.365$

sample variability increases, therefore likelihood of rejecting the null hypothesis decreases.

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1 year ago

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Mila [183]

Answer:

<h2>The flat pay $25 represents the intercept</h2>

Step-by-step explanation:

To answer this question we need to first understand and compare it with the equation of straight line.

i.e $y= mx+c$ which is the equation of line

where m= slope

y= dependent variable

x= independent variable

c= intercept

Given

$y= 25+5h$

comparing both expression we can see that

25 corresponds to c which is the intercept

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2 years ago

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1 year ago

It takes Wayne 1/10 hours to walk a 1/6 mile park loop. What is Wayne's unit rate, in miles per hour

olchik [2.2K]

To solve this problem, we should set up a proportion, letting x represent our unknown number of miles that Wayne walks in one hour.

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Finally, we must divide both sides by 1/10 to cancel it out on the right side of the equation and get the variable x alone.

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Therefore, Wayne walks 1 2/3 miles per hour.

5 0

1 year ago