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Mazyrski [523]
3 years ago
15

Common denominator for 3/4 and 7/6

Mathematics
2 answers:
professor190 [17]3 years ago
7 0
The answer is 12 so hope this helps
nydimaria [60]3 years ago
6 0

Answer:

  12

Step-by-step explanation:

3/4 = 9/12

7/6 = 14/12

12 is a suitable common denominator for these fractions.

__

4 = 2·2

6 = 2·3

The common denominator must include all these factors (and no more than necessary), so must be ...

  LCD = 2·2·3 = 12

You might be interested in
It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random
Rzqust [24]

Answer:

Explained below.

Step-by-step explanation:

The information provided is as follows:

\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9

(1)

A single mean test is to be performed in this case.

As the population standard deviation is not provided, a one-sample <em>t</em>-test will be used.

The correct option is b.

(2)

The null hypothesis is:

<em>H</em>₀: The average temperature in the population is 98.6°F, i.e. <em>μ </em>= 98.6°F.

The correct option is b.

(3)

The alternative hypothesis is:

<em>Hₐ</em>: The average temperature in the population is less than 98.6°F, i.e. <em>μ </em>< 98.6°F.

The correct option is c.

(4)

The standard deviation of the sample mean is as follows:

SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F

Thus, the value of SD is 0.3°F.

(5)

Compute the value of test statistic as follows:

t=\frac{\bar x-\mu}{SD_{\bar x}}

  =\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67

Thus, the value of test statistic is -1.67.

(6)

The degrees of freedom of the test are:

df = n - 1

   = 9 - 1

   = 8

Thus, the degrees of freedom of the test is 8.

8 0
3 years ago
If f(1) = 6 and f(n) = f(n − 1) +3, then f(7) =<br> (1) 10 (2) 24 (3) 15<br> (4) 18
Juliette [100K]

Answer:

24

Step-by-step explanation:

f(n) = f(n − 1) + 3

if n = 7 => f(7) = f(7-1) + 3 = f(6) + 3

if n = 6 => f(6) = f(6-1) + 3 = f(5) + 3

if n = 5 => f(5) = f(5-1) + 3 = f(4) + 3

if n = 4 => f(4) = f(4-1) + 3 = f(3) + 3

if n = 3 => f(3) = f(3-1) + 3 = f(2) + 3

if n = 2 => f(2) = f(2-1) + 3 = f(1) + 3

if f(1) = 6 then f(2) = 9

f(3) = 12

f(4) = 15

f(5) = 18

f(6) = 21

f(7) = 24

3 0
3 years ago
Neil has 3 partially full cans of white paint . They contain 1/3 gallon , 1/5 gallon and 1/2 gallon of paint. About how many pai
stepan [7]

Answer:

About 1 gallon. (32/30)

Step-by-step explanation:

First get a LCM (least common multiple) for 3, 5, and 2.

Now we have 30. Make 30 the denominator for all.

10/30

15/30

7/30

Then add them all up to get 32/30.

About 1 gallon.

4 0
3 years ago
Read 2 more answers
Round 36,700 to nearest 100
TEA [102]
36,700, it stays the same
8 0
3 years ago
This question is confusing. Please help me!
velikii [3]

Answer:

x = 18

Step-by-step explanation:

Given:

  • a = 2x +3
  • b = 4x - 7

Finding x for which 3b = 5a:

  • 3b = 5a
  • 3(4x - 7) = 5(2x + 3)
  • 12x - 21 = 10x + 15
  • 12x - 10x = 15 + 21
  • 2x = 36
  • x = 36/2
  • x = 18
7 0
3 years ago
Read 2 more answers
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