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3 years ago

What is the least common multiple and greatest common factor of 24 and 21

Mathematics

1 answer:

Iteru [2.4K]3 years ago

7 0

LCM: 2 x 2 x 2 x 3 x 7 = 168

GCF: 3

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Galina-37 [17]

Answer:

X = 5

Step-by-step explanation:

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5 0

3 years ago

Read 2 more answers

Solve 6 over x-3= 3 over x for x and determine if the solution is extraneous or not

polet [3.4K]

6/x-3=3/x
3x-9=6x
3x=-9
x=-3
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6 0

3 years ago

Sin(x+20) - cos (2X+10)

Vladimir [108]

Answer:

X=20

Step-by-step explanation:

Sin(x+20)=cos(2x+10)

Sin(x+20)=sin(90-(2x+10)

X+20=90-2x-10

3x=60

X=20

8 0

3 years ago

In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol

Julli [10]

Answer:

$0.071,1.928$

Step-by-step explanation:

Downtown Store North Mall Store

Sample size n 25 20

Sample mean $\bar{x}$ $9 $8

Sample standard deviation s $2 $1

$n_1=25\\n_2=20$

$\bar{x_1}=9\\ \bar{x_2}=8$

$s_1=2\\s_2=1$

$x_1-x_2=9-8=1$

Standard error of difference of means = $\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

Standard error of difference of means = $\sqrt{\frac{2^2}{25}+\frac{1^2}{20}}$

Standard error of difference of means = $0.458$

Degree of freedom = $\frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}$

Degree of freedom = $\frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}$

Degree of freedom =36

So, z value at 95% confidence interval and 36 degree of freedom = 2.0280

Confidence interval = $(x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)$

Confidence interval = $1-(2.0280)\times 0.458,1+(2.0280)\times 0.458$

Confidence interval = $0.071,1.928$

Hence Option A is true

Confidence interval is $0.071,1.928$

4 0

3 years ago

Solve the inqualities 3x-3<9

pentagon [3]

Answer: x < 4

Step-by-step explanation: When solving the inequality 3x - 3 < 9, just like an equation our first step is to isolate the x term which is 3x by adding 3 to both sides of the inequality.

On the left, -3 + 3 cancels and we have 3x.

Make sure to bring down the < sign.

On the right, 9 + 3 simplifies to 12.

So we have 3x < 12.

Now, divide both sides of the inequality by 3 to isolate x.

When we do that we get x < 4

So our answer is x < 4.

8 0

3 years ago