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3 years ago

The bucket is 30% full. when half way empty it is 15% full. how full is the bucket when 250% full?

Mathematics

2 answers:

Sunny_sXe [5.5K]3 years ago

7 0

Answer:

125%

Step-by-step explanation:

divide 250% by 2

Reptile [31]3 years ago

5 0

The fullness of the bucket can be represented in ratios.

100:30 (the bucket is completely full)
50:15 (the bucket is half empty)

250 = 100 + 100 + 50

So the ratio would be 250: 150, making the bucket 150% full.

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The claim that 40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable j

Bad White [126]

Answer:

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

Step-by-step explanation:

Test if the proportion is less than 40%:

At the null hypothesis, we test if the proportion is of at least 0.4, that is:

$H_0: p \geq 0.4$

At the alternative hypothesis, we test if the proportion is of less than 0.4, that is:

$H_1: p < 0.4$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that $\mu = 0.4, \sigma = \sqrt{0.4*0.6}$

74 out of the 200 workers sampled said they would return to work

This means that $n = 200, X = \frac{74}{200} = 0.37$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.37 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}$

$z = -0.87$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.37, which is the p-value of z = -0.87.

Looking at the z-table, z = -0.87 has a p-value of 0.1922.

7 0

2 years ago

What is the length of the diagonal of a square with a side that measures 11 centimeters

timofeeve [1]

A square has 4 equal sides
use pythagroeas theorem since a square has 4 right angles

a^2+b^2=c^2
a=b because the sides are equal (11)

11^2+11^2=c^2
242=c^2
square root both sides
11√2=c

the diagonal legnth is 11√2 centimiters

4 0

3 years ago

The Chinese system presented in the text has symbols for 1 through 9, and also for 10, 100, and 1000. What is the greatest num

Naddika [18.5K]

To get the biggest possible number, use all the symbols at once. 1000+100+10+9+8+7+6+5+4+3+2+1=what?

4 0

3 years ago

Lacie is filling a bucket with water.

ella [17]

Answer: Option A) liters

Step-by-step explanation:

Liters is the standard unit of measurement for volume. Metres, on the other hand, is the standard unit of measurement for length, height, width or distance traveled.

So, since we are to me measure the amount (volume) of water in Lacie's bucket, liters is the standard unit to used.

4 0

3 years ago

How do you determine volume?

bulgar [2K]

Answer: V = πr 2 h

Step-by-step explanation:

To calculate the volume of a cylinder, you must know its height and the radius of the circular base (the distance from the center of the circle to its edge) at the top and bottom. The formula is V = πr 2 h, where V is the Volume, r is the radius of the circular base, h is the height, and π is the constant pi.

6 0

2 years ago