What would be a good first step to graph the solution to the following system?

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

7 0

Answer:

Its not the answer but you know its going to be a solid line on the first and a dashed on the bottom. The first will be above line, second would be below b/c its less that. This is a fairly easy question that I can answer for you later I just don't have anymore time

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It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate

Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

$\sigma^2 = 484\\\sigma =\sqrt{484} = 22$

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

$E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get

$E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373$

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0

3 years ago

If 3x+54+(65 × 32)+ 902- (43/12) =y, then what is y?

IceJOKER [234]

Answer:

We cannot solve without a value for x. The simplified form is $3x+\frac{36,389}{12} =y$

Step-by-step explanation:

If the equation is $3x+54+(65)(32)+902-\frac{43}{12}=y$ then we cannot solve it until we know the value of x. We can simplify it using order of operations such as PEMDAS.

$3x+54+(65)(32)+902-\frac{43}{12}=y \\3x+54+2,080+902-\frac{43}{12}=y \\3x+3,036-\frac{43}{12}=y \\3x+\frac{36,432}{12} -\frac{43}{12} =y\\3x+\frac{36,389}{12} =y$