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2 years ago

Find the mathematical model for the following statement. Remember to use k as the constant of proportionality.

Mathematics

1 answer:

lukranit [14]2 years ago

6 0

P=k•l•v

This is an example of joint variation that takes the form: z=kxy, where k=constant of proportionality.

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g Georgianna claims that in a small city renowned for its music school, the average child takes at least 5 years of piano lesson

sergij07 [2.7K]

Answer:

[3.75 years, 5.45 years]

Step-by-step explanation:

The 90% confidence interval is given by the interval

$\large [\bar x-t^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]$

where

$\large \bar x$ is the sample mean

s is the sample standard deviation

n is the sample size

$\large t^*$ is the 0.05 (5%) both-sided (**) critical value for the Student's t-distribution with 19 degrees of freedom (sample size -1), which is an approximation to the Normal distribution for small samples (n≤ 30).

Either by using a table or the computer, we find

$\large t^*= 1.729$

and our 90% confidence interval is

$\large [4.6-1.729*\frac{2.2}{\sqrt{20}}, 4.6+1.729*\frac{2.2}{\sqrt{20}}]=\boxed{[3.75,5.45]}$

(**) 5% of the area to the left of $\large -t^*$ and 5% to right of $\large t^*$ for a total of 90% inside the interval $\large [-t^*,+t^*]$

5 0

3 years ago

What is the volume of a cube of ice with a 3 cm edge?

Sholpan [36]

Answer:

27 cm

Step-by-step explanation:

every side of a cube is equal to each other. the formula for volume is LxWxH, so 3*3*3=27

6 0

3 years ago

Can I get help I'm new

kvv77 [185]

Stratified random sampling is a method of sampling that involves the division of a population into smaller groups known as strata. In stratified random sampling or stratification, the strata are formed based on members' shared attributes or characteristics. Stratified random sampling is also called proportional random sampling or quota random sampling.

By contrast, simple random sampling is a sample of individuals that exist in a population; the individuals are randomly selected from the population and placed into a sample. This method of randomly selecting individuals seeks to select a sample size that is an unbiased representation of the population. However, it's not advantageous when the samples of the population vary widely.

6 0

3 years ago

The manager of a supermarket wants to obtain information about the proportion of customers who dislike a new policy on cashing c

alex41 [277]

Answer:

n = 61 costumers

Step-by-step explanation:

For calculating the number of costumers he should sample we use the next equation:

$n = \frac{z_{1-\alpha/2}^{2}p(1-p)}{E^{2} }$