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3 years ago

Please give me a long answer! Thank you!

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

6 0

Answer:

10/12 can be approximated by 1

3/8 can be approximated by 1/2

so the answer to the subtraction must be really close to 1-1/2 = 1/2 = 0.5

Step-by-step explanation:

The real solution can be found by converting to numerator 24, which is the LCM, or Lowest Common Multiple of numerators 12 and 8.

10/12 = 20/24

3/8 = 9/24

Now the subtraction is (20-9)/24 = 11/24 ≈ 0.4583

So the actual result 0.4583 is actually pretty close to 0.5.

A benchmark value is nothing more than a really simple fraction or integer (1/2, 1/3, 1, 2, ...) that you know where to plot on the number line.

Making approximations can serve as a double check to see if you didn't make any mistakes on the actual calculation.

You might be interested in

Of the following two statements , which is a good definition ? Explain . " A rectangle is a parallelogram with 4 right angles .

Vikki [24]

This is about understanding the meaning of a rectangle and parallelogram.

Option A is the correct definition.

We are given the 2 statements as;

1) A rectangle is a parallelogram with 4 right angles

2) A rectangle is a parallelogram

Let us define a rectangle and parallelogram;

- A rectangle is defined as a quadrilateral with four right angles. This means all the angles are equal. It also has 4 sides with the length of opposite sides being parallel to each other.

- A parallelogram is defined as a quadrilateral that has two pairs of parallel sides with the opposite sides of such parallelogram having equal length and the opposite angles being equal.

Option A; This is correct because the reverse statement is that; A parallelogram is a rectangle with 4 right angles, This is possible because the only condition where a parallelogram is a rectangle is when it has 4 right angles.

Option B; This is wrong because a rectangle is not a parallelogram.

Option C; This is wrong because not all parallelograms are rectangles.

Option D; This is wrong because a rectangle must have 4 right angles

Read more at; brainly.com/question/23127311

4 0

2 years ago

ddd [48]

Answer:

Since $P(A \cap B) = P(A) \times P(B)$ , the events of getting at least one text from Pedro and at least one text from Max are independent.

Step-by-step explanation:

Two events, A and B, area independent if:

$P(A \cap B) = P(A) \times P(B)$

In this question:

Event A: getting at least one text from Pedro.

Event B: getting at least one text from Max.

Jackson has received at least one text from Pedro on 45 of the last 50 days:

This means that $P(A) = \frac{45}{50} = 0.9$ .

Jackson has received at least one text from Max on 40 of the last 50 days:

This means that $P(B) = \frac{40}{50} = 0.8$

Jackson has received at least one text from both Pedro and Max on 36 of the last 50 days.

This means that $P(A \cap B) = \frac{36}{50} = 0.72$

Verify dependency:

We have that $P(A \cap B) = 0.72$ .

$P(A) \times P(B) = 0.9 \times 0.8 = 0.72$

Since $P(A \cap B) = P(A) \times P(B)$ , the events of getting at least one text from Pedro and at least one text from Max are independent.

8 0

4 years ago

In which pair of values do the percent and the fraction represent the same amount?

Sergio [31]

The correct answer (I think) is C. 3/8 and 37.5%.

6 0

4 years ago

Find the the measure of angle 5.

timurjin [86]

Answer:

Angle 5 would be 119 degrees.

Step-by-step explanation:

This is because the angle that is 61 degrees and angle 5 are both supplementary angles. Supplementary angles would add up to 180 degrees and would lie on the same side of the line. So 180 minus 61 is 119.

6 0

3 years ago

The length of a rectangle is 8 centimeters, and the area of the rectangle is 72 square centimeters. What is the width of the rec

Afina-wow [57]

Answer:

The width if the rectangle is 9 sq. cm.

Step-by-step explanation:

a = wl, which means area equals length times width, so to find the width when you have the length and area you need to divide the area by the length.

72/8 = 9

This exact method will also work if you have the width and not the length.

Hope this helps!

8 0

3 years ago