"select all the numbers that are solutions to the equation x^3=27"

Mediam of 50+45+49+50+43+49+45+49+45+47+44+51+51+44+47+46+50+44+51+49+43+43+49+45+46+45+51+46

Doss [256]

Answer:

The median is equal 46.5

Step-by-step explanation:

to find the median, we will need to rearrange the numbers in ascending order, so we will have

43, 43, 43, 44, 44, 44, 45, 45, 45, 45, 45, 46, 46, 46, 47, 47, 49, 49, 49, 49, 49, 50, 50, 50, 51, 51, 51, 51

Note that there are 28 numbers in total, therefore the median will fall in between the fourteenth and the fifteenth number which are 46 and 47 respectively.

Since we are considering two figures as median, we will need to find the average, which will be

(46 + 47)/2 = 46.5

The median is therefore 46.5

8 0

3 years ago

What is the answer to a situation that could be modeled with the ratio 4 to 1

Tju [1.3M]

For every 4 hotdogs there is 1 hamburger being sold.

4 0

3 years ago

Mary has to choose between a job and learning French during summer

Andrei [34K]

Answer:

To develop a molecular clock, you need to find which of the following?

a sequence of molecules

the rate at which changes occur in a type of molecule

how much total change has occurred in a type of molecule from two different species

how many molecules a species has

Step-by-step explanation:

To develop a molecular clock, you need to find which of the following?

a sequence of molecules

the rate at which changes occur in a type of molecule

how much total change has occurred in a type of molecule from two different species

how many molecules a species has

4 0

3 years ago

Read 2 more answers

A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than

vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

$H_0: p \leq 0.05$

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

$H_a: p > 0.05$

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.

0.05 is tested at the null hypothesis:

This means that $\mu = 0.05, \sigma = \sqrt{0.05*0.95}$

A random sample of 300 items taken from the production line contained 27 defective items.

This means that $n = 300, X = \frac{27}{300} = 0.09$

Value of the test statistic:

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

$z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}$

$z = 3.18$

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

5 0

3 years ago

Television sizes are labeled by the measure of the diagonal

Fittoniya [83]

Answer:

C. 55 inches

Step-by-step explanation:

a^2 = b^2 + c^2

a^2 = 47.5^2 + 27^2

a^2 = 2985.25

a = 54.637 = 55 inches

8 0

3 years ago