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3 years ago

First, I add 1. Then, I multiply by 2. Next, I divide by 3. As a result, I get 4. What is my starting number?

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

6 0

Answer:5

Step-by-step explanation:

reverse the steps

2(x+1)/3=4

2(x+1)/3×3=4×3

2(x+1)/2=12/2

x+1=6

x=6-1

x=5

podryga [215]3 years ago

5 0

Answer:

My starting number is 5

Step-by-step explanation:

Let's denote your number is a

We have:

Adding 1 => a + 1

Multiplying by 2 => (a + 1) x 2

Dividing by 3 => (a + 1) x 2/3

The final number is 4 => (a + 1) x 2/3 = 4

Now, we are going to work out a

Dividing both sides by 2/3:

(a + 1) x (2/3)/(2/3) = 4/(2/3)

then, we have:

(a + 1) x 1 = 4 x 3/2

then, we have:

a + 1 = 12/2

a + 1 = 6

=> a = 6 - 1 = 5

Hope this helps!

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3 years ago

Which of the following conditions must be met in order to make a statistical inference about a population based on a sample

klasskru [66]

Answer:

For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

$\bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})$

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

Step-by-step explanation:

$\bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})$

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

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3 years ago

Find the measure of angle X. 11° 12° 17° 61°

nika2105 [10]

Answer:

option B : 12 degree

Step-by-step explanation:

The sum of angles in a triangle = 180 degree

Small box represents 90 degree

From the inner triangle

90 + angle y + 29 = 180 degree

90 + y + 29 = 180

119 + y = 180 (subtract 119 on both sides)

y= 61 degree

(y+x) is the top angle for bigger triangle

From the outer triangle , 90 + (y+x) + 17 = 180

We know y = 61

90 + (61+x) + 17 = 180

90 + 61 + x 17 = 180

168 +x = 180(subtract 168 on both sides)

x= 12 degrees

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2 years ago

You measure a piece of rope and find its length to be 13 m. Find the percent error of this measurement. Round to the nearest hun

solniwko [45]

The answer is C. 3.85

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3 years ago

Read 2 more answers

SHOW WORK NOT JUST ANWSER PLS

Fed [463]

when i use "pi," im talking about the greek letter which you might have to write as π, or use in a calculator when entering an answer

all of the answers are underlined after each explanation :)

Question 1:

Area:

The picture shown splits the image into 2 half circles and two triangles. When finding the area, you can look at the two halves as one whole. The area of a circle is calculated by putting the radius to the power of two and multiplying by pi. The picture gives you the diameter, which is 5 feet. The diameter of a circle is twice the radius, so divide 5 by 2, square that number, and multiply by pi to find the area of one whole circle:

(5/2)^2*pi
2.5^2*pi
2.5*2.5*pi
6.25*pi

Now we need to find the area of the two triangles. Like the circles, these two triangles make up one whole triangle. The base of the triangle is given: 6 feet. The height of this triangle is also given as 4 feet. The formula for the area of a triangle is base*height/2, so multiply 4 by 6 and divide by 2:

4*6/2
24/2
12

These shapes add up to make the entire figure, so the area will be

12+6.25pi

Perimeter:

To find the perimeter, we need to look at the problem similarly. The perimeter can be thought of as the length around a figure. The formula for the perimeter of a circle, called the circumference, is diameter*pi, so multiply the diameter, 5, by pi to find the distance around the rounded parts of the figure

5*pi

After finding the length around the rounded part, we need the length of the straight part, which is given to us as 6 feet. To find the total perimeter, add up the distances around each part:

6+5pi

Question 2:

Area:

For this question, we need to use the same base*height/2 formula to find the area of the small triangle. At first glance, the base is not obvious. Look on the right side of the rectangle. Notice how it lines up with the right side of the triangle? This side is the base, and it is given as 6 meters. The height is given as 4 meters. Usually you would think of height as how tall something is, but in triangles, a height is a line that will form a 90 degree angle with a base. Multiply 6 and 4, then divide by 2:

6*4/2
24/2
12

Now we need find the area of the rectangle next to the small triangle. The formula for the area of a rectangle is length*width. The length and the width are given as 10 and 6, so multiply 10 and 6:

10*6
60

Finally, add the areas of the triangle and the rectangle:

60+12=72

Perimeter:

Add up the lengths around the figure- they are already given:

5+5+10+10+6=36

Question 3:

Area:

This figure is made up of two shapes: A square, and a semicircle, or half circle. Since it is half of a circle, we need to calculate the area of a circle, and divide by two. The problem gives us a diameter of 6, which we know we must divide by two because a diameter is twice the size of the radius, and the formula is radius^2*pi. Divide 6 by 2:

Plug three into the area formula:

3^2*pi
9*pi

Divide by two because it is a half circle and has half the area:

9*pi/2
4.5*pi

Multiply the length and width of the square to find its area:

Now add the areas of the two parts together:

4+4.5pi

Perimeter:

For the perimeter of the rounded part, use the diameter*pi formula and also divide by 2 because it is a semicircle:

6*pi/2
3*pi

The semicircle also has a bottom that is part of the perimeter and it is 6 millimeters. Add that to 3*pi:

3*pi+6

In a square, all sides are equal, so since one side is 2 millimeters, all four sides are 2 millimeters. Multiply 2 by 4:

Add these perimeters together:

8+3*pi+6
14+3*pi

We're almost done now. Notice how one side of the square is hidden and 2 millimeters of the bottom of the semicircle are hidden? This means that we need to subtract 4 before getting a final answer:

14+3*pi-4=10*3pi

please let me know if anything is incorrect or hard to understand, hope this helps!!

6 0

2 years ago