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2 years ago

if y varies inversely with x and the constant of variation is 4.5 what are the values missing in the table

Mathematics

2 answers:

True [87]2 years ago

8 0

Answer:

A= 0.5

B= 4.5

C= 1.5

D= 0.5

Step-by-step explanation:

I just did it on edge

Alexxandr [17]2 years ago

3 0

Seems like you forgot to attach the table.
For this reason, I will explain how to solve this question and you can apply using the numbers in your table.

We are given that:
y is inversely proportion to x. This means that as y decreases, x increases and vice versa.
Writing this into equation, we would get:
y = c/x where c is the constant of proportionality.
Now, we have the constant of proportionality given as 4.5.
This means that the equation that relates x and y is:
y = (4.5) / x

So, to fill in the table, we would substitute with the given x or y in the equation above and solve for the other variable.

Examples:
If given that x=2, then:
y = (4.5) / (2) = 2.25
If given that y=3, then:
3 = (4.5) / x
x = (4.5) / (3) = 1.5

Hope this helps :)

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Step-by-step explanation:

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Solution to the problem

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

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