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3 years ago

Find the LCM of 9,25,36 and 73 ?

Mathematics

2 answers:

Artyom0805 [142]3 years ago

6 0

Step-by-step explanation:

9 = 9 , 25 = 5 , 36 = 36

if it's helpful please tell me

Allisa [31]3 years ago

5 0

Answer: The least common multiple is 65700

Step-by-step explanation:

To begin, find the prime factors of the given numbers, (and you find they have very little in common.)

9=3×3 25=5×5 36=2×2×3×3 73= 73×1 (73 is a prime number)

Only the 3's of 36 overlap with the 3's of 9

To find the LCM you must multiply all the prime factors that don't overlap:

3×3×5×5×2×2×73

If the 73 is changed to 72, the LCM is a somewhat lower number: 1800.

To test these LCM's try dividing by any of the factors or numbers given.

If the quotient is not a whole number, the LCM doesn't include that factor.

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Kruka [31]

Answer:

Step-by-step explanation:

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = sample mean of type A paint

x2 = sample mean of type B paint

s1 = sample standard deviation type A paint

s2 = sample standard for type B paint

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From the information given,

x1 = 75.7

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n1 = 11

x2 = 64.3

s2 = 5.1

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x1 - x2 = 75.7 - 64.3 = 11.4

√(s1²/n1 + s2²/n2) = √(4.5²/11 + 5.1²/9) = √4.709

Degree of freedom = (n1 - 1) + (n2 - 1)

df = (11 - 1) + (9 - 1) = 18

For the 98% confidence interval, the z score from the t distribution table is 2.552

Margin of error = 2.552√4.709 = 5.55

The upper boundary for the confidence interval is

11.4 + 5.55 = 16.95 hours

The lower boundary for the confidence interval is

11.4 - 5.55 = 5.85 hours

The correct option is

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2 years ago

Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probabili

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Answer:

$P(p>0.43) = 0.0436$

Step-by-step explanation:

Given

$p = 40\%$ -- proportion of baseball players

$n = 781$ --- selected sample

Required

Determine P(p>43%)

First, calculate the z score using:

$Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

This gives:

$Z = \frac{48\%-40\%}{\sqrt{\frac{40\% *(1 - 40\%)}{781}}}$

Convert % to decimal

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}$

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}$

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}$

$Z = \frac{0.03}{\sqrt{0.00030729833}}$

$Z = \frac{0.03}{0.01752992669}$

$Z = 1.71$

So:

$P(p>0.43) = P(Z>1.71)$

$P(p>0.43) = 1 - P(Z$

$P(p>0.43) = 1 - 0.9564$

$P(p>0.43) = 0.0436$

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2 years ago

The blades of a windmill turn on an axis that is 40 feet from the ground. The blades are 15 feet long and complete 3 rotations e

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Answer:

a is the _amplitude_(Length of the blades)_

The vertical shift, k, is the _Mill shaft height_

$a = 15\ ft\\\\k = 40\ ft$

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Step-by-step explanation:

In this problem the amplitude of the sinusoidal function is given by the length of the blades.

$a = 15\ ft$

The mill is 40 feet above the ground, therefore the function must be displaced 40 units up on the y axis. So:

$k = 40\ ft$

We know that the blades have an angular velocity w = 3 rotations per minute.

One rotation = $2\pi$

1 minute = 60 sec.

So:

$w = \frac{3(2\pi)}{60}\ rad/s$

$w = \frac{\pi}{10}\ rad/s$

Finally:

a is the _amplitude_(Length of the blades)_

The vertical shift, k, is the _Mill shaft height_

$a = 15\ ft\\\\k = 40\ ft$

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Answer:

Total FUTA : $669.6

Step-by-step explanation:

Given the information

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As we know, FUTA is short for Federal Unemployment Tax Act, and the FUTA tax rate is 6.2% applied to a maximum cumulative earnings of $7,000.

So in this situation, only person 1 and 2 must pay FUTA tax because ther earning are lower than $7,000.

Person 1: 3900 x 6.2% = $241.8
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=> Total FUTA : $669.6

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3 years ago

Find the LCM of 9,25,36 and 73 ?​

Find the LCM of 9,25,36 and 73 ?