What is the value of x?

What percent of 2b is: 0.04b; 0.2b; 0.56b; 1.8b; 2.5b; 3b; By what percent are they each larger or smaller than 2b?

Marina86 [1]

Answer:

1. 0.04b. 0.04b is 2% of 2b. It is smaller than 2b by 98%.

2. 0.2b. 0.2b is 10% of 2b. It is smaller than 2b by 90%.

3. 0.56b. 0.56b is 28% of 2b. It is smaller than 2b by 72%.

4. 1.8b. 1.8b is 90% of 2b. It is smaller than 2b by 10%.

5. 2.5b. 2.5b is 125% of 2b. It is larger than 2b by 25%.

6. 3b. 3b is 150% of 2b. It is larger than 2b by 50%.

Step-by-step explanation:

1. 0.04b

For all the cases, we will use Rule of Three, this way.

Percentage * 2 = 100 * 0.04

Percentage = (100 * 0.04)/2 (Dividing by 2 at both sides)

Percentage = 4/2 = 2%

0.04b is 2% of 2b. It is 98% smaller than 2b.

For all cases, we will use (100 - x) for calculating how smaller or larger the expression is related to 2b, where x is the percentage of the expression itself). In this case, 100 - 2 = 98.

2. 0.2b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.2

Percentage = (100 * 0.2)/2 (Dividing by 2 at both sides)

Percentage = 20/2 = 10%

0.2b is 10% of 2b. It is 90% smaller than 2b.

3. 0.56b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.56

Percentage = (100 * 0.56)/2 (Dividing by 2 at both sides)

Percentage = 56/2 = 28%

0.56b is 28% of 2b. It is 72% smaller than 2b.

4. 1.8b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 1.8

Percentage = (100 * 1.8)/2 (Dividing by 2 at both sides)

Percentage = 180/2 = 90%

1.8b is 90% of 2b. It is 10% smaller than 2b.

5. 2.5b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 2.5

Percentage = (100 * 2.5)/2 (Dividing by 2 at both sides)

Percentage = 250/2 = 125%

2.5b is 125% of 2b. It is 25% larger than 2b.

In this case, 100 - 125 = -25. It means the second expression is larger than 2b by 25%.

6. 3b.

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 3

Percentage = (100 * 3)/2 (Dividing by 2 at both sides)

Percentage = 300/2 = 150%

3b is 150% of 2b. It is 50% larger than 2b.

In this case, 100 - 150 = -505. It means the second expression is larger than 2b by 50%.

6 0

3 years ago

In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select t

patriot [66]

Answer:

How old are you

Step-by-step explanation:

8 0

2 years ago

what is the x-intercept of the line with the equation 4x 2y = 12? a. (0, 6) b. (0, 3) c. (6, 0) d. (3, 0)

Georgia [21]

If you would like to find the x-intercept of the line with the equation 4x + 2y = 12, you can do this using the following steps:

4x + 2y = 12
y = 0
4x + 2 * 0 = 12
4x = 12
x = 12/4 = 3

(x, y) = (3, 0)

The correct result would be d. (3, 0).

7 0

3 years ago

8,397 divided by 27 equals ?

12345 [234]

8,397 ÷ 27= 311.......

8 0

2 years ago

Based on the random sample of n=800 observations, we have obtained a sample proportion p(bar =0.44. the goal is to test: h(0: p?

uysha [10]

The standard error of a distribution of sample proprtions is defined as the standard deviation of the distribution and is symbolized by
$SE(\hat{p})$
and is calculated by the formula
$SE(\hat{p})= \sqrt{ \frac{p(1-p)}{n} }$ .

Given a random sample of n = 800 observations and a sample proportion p = 0.44.

To test:
$H_0:\hat{p}\ \textgreater \ 0.48 \\ H_a:\hat{p}\ \textless \ 0.48$

The standard error rounded to four decimal places is given by:
$SE(\hat{p})= \sqrt{ \frac{0.44(1-0.44)}{800} } \\ \\ = \sqrt{ \frac{0.44(0.56)}{800} } = \sqrt{ \frac{0.2464}{800} } \\ \\ = \sqrt{0.000308} =\bold{0.0175}$

5 0

2 years ago