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jok3333 [9.3K]
3 years ago
5

What's the least common denominator of 3⁄4, 4⁄5, and 2⁄3?

Mathematics
2 answers:
Gnesinka [82]3 years ago
6 0
Because 5 is in this set, you can already exclude B. 2's factors can not be odd, so that excludes D. and 3's factors doesn't include 20, so you can exclude A.

Answer would be C.
Cloud [144]3 years ago
6 0

Answer:

Option (c) is correct.

least common common denominator is 60.

Step-by-step explanation:

Given  numbers are \frac{3}{4} \ ,\ \frac{4}{5} \ , \frac{2}{3}

We have to find the least common denominator for the given numbers.

least common number is the greatest value that is multiple of all the given numbers.

Since, denominator of given fractional numbers are 3, ,4 ,5

So least common denominator is the number that is multiple of all the given denominator.

Since, 3  = 3 × 1

4 =  2 ×  2

5 = 5 × 1

Least common number is find by multiplying all the factors and taking common factor one time.Since, 3, 4, 5 do not have any factor in common

So, the product of  3, 4, 5 are the least common denominator

thus, 3 ×  4 × 5 = 60

Thus, least common common denominator is 60.

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Pairs of P-values and significance levels, α, are given. For each pair, state whether the observed P-value would lead to rejecti
lubasha [3.4K]

Answer:

(a) P-value = 0.074, α = 0.05 do not reject H0

(b) P-value = 0.006, α = 0.001 do not reject H0

(c) P-value = 0.494, α = 0.05 do not reject H0

(d) P-value = 0.074, α = 0.10 reject H0

(e) P-value = 0.028, α = 0.01 do not reject H0

(f) P-value = 0.296, α = 0.10 do not reject H0

Step-by-step explanation:

The p-value is used to determine the statistical significance of the results of a statistical test. The p-value is the probability that the null hypothesis is correct. Smaller the p-value, higher is the probability that the alternate hypothesis is correct. On the other hand, the significance level (α) is the probability of rejecting the null hypothesis when it is true. It is the risk that you are willing to take in saying that there are differences between groups when there are not. 

In order to reject the null hypothesis, the p-value should be lower than the significance level (α).

7 0
3 years ago
The sum of 3 consecutive even integers is -42. Find the three integers.
Olenka [21]

Answer:

-13-14-15

Step-by-step explanation:

4 0
3 years ago
Factor the expression 3x + 9
Pavel [41]

Answer:

3(x+3)

Step-by-step explanation:

3x+9

Rewriting as

3*x +3*3

Factor out a 3

3(x+3)

3 0
4 years ago
Read 2 more answers
A gardener makes a new circular flower bed. The bed is teen feet in diameter. Calculate the circumference and the area of the ci
KATRIN_1 [288]

Answer:

I. Circumference of circular flower bed = 31.42 ft.

II. Area of circular flower bed = 78.55 ft²

Step-by-step explanation:

Given the following data;

Diameter = 10 ft

Radius = diameter/2

Radius = 10/2

Radius, r = 5 ft

I. To find the circumference of the circular flower bed;

Circumference of circle = 2πr

Substituting into the formula, we have

Circumference of circular flower bed = 2*3.142*5

Circumference of circular flower bed = 31.42 ft

II. To find the area;

Area of circle = πr²

Substituting into the formula, we have;

Area of circular flower bed = 3.142*5²

Area of circular flower bed = 3.142*25

Area of circular flower bed = 78.55 ft²

8 0
3 years ago
There are 2.54 centimeters in 1 inch. How many centimeters are there in 1 foot? In 1 yard? Explain your reasoning.
Dmitry [639]

1 inch = 2.54 centimeters

1 foot = 12 inch

1 inch = 2.54 cm

12 inch = 12times 2.54 cm = 30.48 cm

Answer 1 foot = 12 inch = 12times 2.54 = 30.48 cm

* we know 1 yard = 3 foot

1 foot = 12 inch

1 inch = 2.54 cm

Answer : so 1 yard = 3 foot = 3* 12 inch = 36 * 2.54 cm =91.44 cm

6 0
3 years ago
Read 2 more answers
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