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1 year ago

What is 2.125 as a fraction?

Mathematics

1 answer:

Nuetrik [128]1 year ago

5 0

2.125 = 17/8 = 21/8 as a fraction

Step by Step Solution

To convert the decimal 2.125 to a fraction follow these steps:

Step 1: Write down the number as a fraction of one:

2.125 = 2.125/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,

2.125/1 = (2.125 x 1000)/(1 x 1000) = 2125/1000.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(2125,1000) = 125. So,

(2125÷125)/(1000÷125) = 17/8 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 2125/1000 is also equal to 2 1/8 when expressed as a mixed number.

Hope that helps feel free to ask me questions

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B. The total area painted is 864; they must buy two cans of paint.

Step-by-step explanation:

Step 1:

A rectangle's area can be calculated by multiplying its length and its width. The wall is made up of 5 different types of rectangular walls. All walls are 8 feet tall but the length varies.

Step 2:

The area of the 20 feet long wall = $(length)(width)= (20)(8) =160,$

The area of the 10 feet long wall = $(length)(width)= (10)(8) =80,$

The area of the 5 feet long wall = $(length)(width)= (5)(8) =40,$

The area of the 4 feet long wall = $(length)(width)= (4)(8) =32,$

The area of the 15 feet long wall = $(length)(width)= (15)(8) =120.$

The area of all the walls = 432 square feet.

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Step 3:

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Answer:

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Step-by-step explanation:

Values (x) ∑(Xi-X)^2

----------------------------------

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28.5 1.0252

28.8 0.5077

29.4 0.0127

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30.1 0.3452

30.6 1.1827

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Statement of the null hypothesis:

H0: u ≥ 30 the mean wedding cost is not less than $30,000

H1: u < 30 the mean wedding cost is less than $30,000

Test Statistic:

$t=\frac{X-u}{S/\sqrt{n}}=\frac{29.51-30}{0.6978/\sqrt{8}}= \frac{-0.49}{0.2467}=-1.9861$

Test criteria:

SIgnificance level = 0.05

Degrees of freedom = df = n - 1 = 8 - 1 = 7

Reject null hypothesis (H0) if

$t$

Finding in the t distribution table α=0.05 with df=7, we have

$t_{0.05,7}=2.365$

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Result: Fail to reject null hypothesis

Conclusion: Do no reject the null hypothesis

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