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3 years ago

Simplify this expression. 20.25 – 9 + 11 о 1 4 0 18.75 0 21? 0 40.75

Mathematics

1 answer:

Greeley [361]3 years ago

8 0

Answer:

$21\frac{3}{4}$

Step-by-step explanation:

Step 1: Add the numbers.

20.25 can also be expressed as $20\frac{1}{4}$ , because $\frac{2025}{100}$ = $\frac{81}{4}$ = $20\frac{1}{4}$ . So if we add $20\frac{1}{4}$ and 11, we would get $31\frac{1}{4}$

Step 2: Solve

$31\frac{1}{4} -9\frac{1}{2}$

Subtract the whole numbers

$31-9=21$

Combine the fractions

This means addition. Also, since our denominators are not the same value, we have to find the LCM (Least Common Denominator): What do 2 and 4 have in common that they can divide themselves by? 4. We know this because 2 divided by 4 is 2, and 4 divided by 4 is 1, so they can both divide themselves by 4.

$\frac{5}{4}-\frac{1}{2}$

LCM

$\frac{5}{4}-\frac{2}{4} =\frac{3}{4}$

Therefore, the simplified expression to this is $21\frac{3}{4}$ .

Learn more: brainly.com/question/403991

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If two samples A and B had the same mean and standard deviation, but sample A had a larger sample size, which sample would have

Advocard [28]

<h3>Answer: Sample B as it has the smaller sample (choice #4)</h3>

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Explanation:

Recall that the margin of error (MOE) is defined as

MOE = z*s/sqrt(n)

The sample size n is located in the denominator, meaning that as n gets bigger, the MOE gets smaller. The same happens in reverse: as n gets smaller, the MOE gets bigger.

Put another way, a small sample size means we have more error because small samples mean they are less representative of the population at large. The bigger a sample is, the better estimate we will have of the parameter.

We are told that "sample A had a larger sample size" indicating that sample A has a more narrow confidence interval.

Therefore, sample B would have a wider confidence interval.

This is true regardless of what the confidence level is set at.

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3 years ago

CW 18 118 The following information is given to you: Cost of material per unit : Rs.200 Ordering cost : Rs.100 per order Annual

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3 years ago

What is the surface area of the following triangular prism?

Allisa [31]

This question was answered but no solution was given.

We already solve for the B or area of the triangular base which was 5.25cm².

There are 2 triangular faces in the prism so 5.25cm² x 2 = 10.50cm²
There are 3 rectangular face in the prism, we need to get the area of each.

area of a rectangle = length x width
rectangle 1: 5 cm x 4 cm = 20 cm²
same dimension with rectangle 2. so, area is 20 cm² also
rectangle 3: 5 cm x 2.8 cm = 14 cm²

let us all add up the area of each surface.
2 triangle = 10.50 cm²
3 rectangles = 20 cm² + 20 cm² + 14 cm² = 54 cm²

10.50 cm² + 54 cm² = 64.50 cm²

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3 years ago

Explain how to add fractions with unlike denominators. Please be as specific as possible.

Gelneren [198K]

Answer:

Look below

Step-by-step explanation:

So I will use an example to try and show you how to do this.

If we have $1/2 + 1/3$ , we know that we don't have like denominators. We can change this by finding one. All we need to do is multiply our denominators. So in our example, that would be $2*3=6$ . Our new denominator would be 6. So now we would have $1/6 + 1/6$ which isn't the same as our old equation. That is because we haven't multiplied our top numbers yet. To do this, we need to multiply the top number by the opposite denominator like so, $3/6+2/6$ .