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Rufina [12.5K]
3 years ago
7

What is 3.7 repeating, as a mixed number

Mathematics
2 answers:
Molodets [167]3 years ago
5 0

Answer:

3\frac{7}{9}

Step-by-step explanation:

We can rewrite 3.7 repeating as 3.7777777.....

Let x = 3.7777777....... -------(1)      [multiply 10 to both side]

10x = 37.777777...... ----------(2)     [subtract equation (1) from equation(2)]

10x - x = 37.777777 - 3.7777777

9x = 34

x = \frac{34}{9}

  = 3\frac{7}{9}

The mixed number of 3.7 repeating is 3\frac{7}{9}

Marianna [84]3 years ago
4 0
I believe it is 3 7/11
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3 years ago
The manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .
Misha Larkins [42]

Answer:

0.1507 or 15.07%.

Step-by-step explanation:

We have been given that the manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters.

First of all, we will find z-scores for data points using z-score formula.

z=\frac{x-\mu}{\sigma}, where,

z = z-score,

x = Sample score,

\mu = Mean,

\sigma = Standard deviation.

z=\frac{21.97-22}{0.016}

z=\frac{-0.03}{0.016}

z=-0.1875

Let us find z-score of data point 22.03.

z=\frac{22.03-22}{0.016}

z=\frac{0.03}{0.016}

z=0.1875

Using probability formula P(a, we will get:

P(-0.1875

P(-0.1875  

P(-0.1875

Therefore, the probability that a randomly selected ball bearing will be acceptable is 0.1507 or 15.07%.

6 0
3 years ago
What is the value of 2 in 255.6
True [87]

Answer:

200?

Step-by-step explanation:

its kinda simple but the 2 is in the hundreds place therefore it is 200.

hope it helped ;)

6 0
3 years ago
the gasoline gauge on a van initially read 1/8 full. When 15 gallons were added to the tank, the gauge read 3/4 full. how many m
nexus9112 [7]
Let x be the capacity of the tank then
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5 0
3 years ago
The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. A juice box is select
Mandarinka [93]

Answer:

5/9

Step-by-step explanation:

complement means not choosing an orange  

P( not choosing orange) = (apple and fruit) / total

                                          = (4+6) / (4+6+8)

                                          =10/18

                                           = 5/9

8 0
3 years ago
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