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Tamiku [17]
3 years ago
10

What is the lowest common mutiple of 6 and 9

Mathematics
1 answer:
Lilit [14]3 years ago
7 0

Answer:

18

Step-by-step explanation:

9 = 3 \times 3 \\ 6 = 2 \times 3 \\ common \: factor = 3 \\ uncommon \: factors = 2, \: 3 \\ lcm = common \times uncommon \: factors \\  = 3 \times 2 \times 3 = 18

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atroni [7]

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5 0
3 years ago
Solve for n.<br> 3/4 x n = 1
cestrela7 [59]
3/4 times n=1

remember that when you multiply 3/4 by 4/3 you get 12/12=1 so it simplifies
remember that you can do anything to an equation as long as you do it to both sides

3/4 ties n=1
multiply both sides by 4/3 to clar fraction
12/12 times n=4/3 times 1
1 times n=4/3
n=4/3

answer is n=4/3 or 1 and 1/3
3 0
3 years ago
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines
storchak [24]

Answer:

The null hypothesis is H_o: \mu = 4.

The alternate hypothesis is H_a: \mu \neq 4

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

Step-by-step explanation:

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line.

This means that the null hypothesis is that they are 4.00 cm long, that is:

H_o: \mu = 4

At the alternate hypothesis we test if it is different. So

H_a: \mu \neq 4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

4 is tested at the null hypothesis:

This means that \mu = 4

After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm.

This means that n = 196, X = 4.14

He knows that the population standard deviation is 0.83 cm.

This means that \sigma = 0.83

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{4.14 - 4}{\frac{0.83}{\sqrt{196}}}

z = 2.36

Pvalue of the test and decision:

The pvalue of the test is the probability that the sample mean is different by at least 4.14 - 4 = 0.14 from the target value, which is P(|z| > 2.36), which is 2 multiplied by the pvalue of z = -2.36.

Looking at the z-table, z = -2.36 has a pvalue of 0.0091

2*0.0091 = 0.0182

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

5 0
2 years ago
3- An archaeologist descends 18 feet into a canyon, then climbs up 14 feet. 1 point
Lady_Fox [76]
4 feet.

Because 18-14 is 4
8 0
3 years ago
I don't understand how this would work. Ive tried to figure it out but i don't know.
barxatty [35]
A. Not sure !! .....l.......
8 0
3 years ago
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