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2 years ago

What is the least common denominator of 2/6 and 7/8

Mathematics

2 answers:

nalin [4]2 years ago

7 0

Answer:

Step-by-step explanation:

Both denominators 6 & 8 have a LCM of 24

Therefore the least common denominator is...

Olegator [25]2 years ago

6 0

Answer:

Therefore the least common denominator is 24.

Step-by-step explanation:

2/6 = 8/24

7/8 = 21/24

No more explanation.

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A researcher is concerned about the impact of students working while they are enrolled in classes, and she likes to know if stud

8_murik_8 [283]

Answer:

(a) Point estimate = 7.10

(b) The critical value is 1.960

(d) Confidence Interval = (6.3, 7.9)

(e) We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

Step-by-step explanation:

Given

$\bar x = 7.10$ -- sample mean

$\sigma=5$ --- sample standard deviation

$n = 150$ --- samples

Solving (a): The point estimate

The sample mean can be used as the point estimate.

Hence, the point estimate is 7.10

Solving (b): The critical value

We have:

$CI = 90\%$ --- the confidence interval

Calculate the $\alpha$ level

$\alpha = 1 - CI$

$\alpha = 1 - 90\%$

$\alpha = 1 - 0.90$

$\alpha = 0.10$

Divide by 2

$\frac{\alpha}{2} = 0.10/2$

$\frac{\alpha}{2} = 0.05$

Subtract from 1

$1 - \frac{\alpha}{2} = 1 - 0.05$

$1 - \frac{\alpha}{2} = 0.95$

From the z table. the critical value for $1 - \frac{\alpha}{2} = 0.95$ is:

$z = 1.960$

Solving (c): Margin of error

This is calculated as:

$E = z * \frac{\sigma}{\sqrt n}$

$E = 1.960 * \frac{5}{\sqrt {150}}$

$E = 1.960 * \frac{5}{12.25}$

$E = \frac{1.960 *5}{12.25}$

$E = \frac{9.80}{12.25}$

$E = 0.800$

Solving (d): The confidence interval

This is calculated as:

$CI = (\bar x - E, \bar x + E)$

$CI = (7.10 - 0.800, 7.10 + 0.800)$

$CI = (6.3, 7.9)$

Solving (d): The conclusion

We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

6 0

3 years ago

HELP PLEASE HELP!!!!!

babunello [35]

Answer:

(i): A triangle where all three sides are equal and the same.

(ii): A triangle where all three sides are unequal in length.

(iii): A triangle that has two sides of equal length.

(iv): A triangle where all three internal angles are acute(they measure less than 90 degrees.

(v): A triangle where all three internal angles are obtuse(measure above 90 degrees).

(vi): A triangle where one internal angle is a right angle(90 degrees).

Hope this helps

Step-by-step explanation:

6 0

3 years ago

Who ever answers this first will get a brainlest

Mrac [35]

Answer:

Well assuming you don’t need to simplify

44/100

0.44

44%

Step-by-step explanation:

Okay so fraction is easy, theres a 100 cubes in total, 44 are shaded in, 44/100 are shaded in which is the area in this scenario.

Decimal is basically moving the place area by a specific amount, in this case theres no whole number since the whole number is 1 or 100/100 and its 44/100 right now so it can’t be a whole number. Decimals go by tenths, hundreths, thousandths, etc. so in this case 44/100 is n the hundreth place since its over a hundred so its 0.44. Or you can move it twice to the right by the times of 0 that appears.

Percent basically means out of 100. So in this case its 44 out of a hundred or 44%

7 0

3 years ago

Read 2 more answers

Please take your time but I really need anyone's help!!!!

stiv31 [10]

Answer:

C) 5 3√2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Complete the square to the problem X^2+6x-16=0

marishachu [46]

Answer:

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\-------------------------------\\\\x^2+6x-16=0\qquad\text{add 16 to both sides}\\\\x^2+6x=16\\\\x^2+2(x)(3)=16\qquad\text{add}\ 3^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=16+3^2\\\\(x+3)^2=16+9\\\\(x+3)^2=25\Rightarrow x+3=\pm\sqrt{25}\\\\x+3=-5\ \vee\ x+3=5\qquad\text{subtract 3 from both sides}\\\\\boxed{x=-8\ \vee\ x=2}$

3 0

4 years ago