2x2 − 4x = 0 A. 0, -4 B. 0, -2 C. 0, 2 D. 2, 4

Mathematics

1 answer:

leonid [27]3 years ago

5 0

Answer:

Step-by-step explanation:

We see that we can factor out 2x from the equation! So our equation becomes 2x(x-2) = 0.

Since the only way for things to multiply to equal to zero is if at least one of the numbers is 0.

So if x-2 is the 0, then x = 2.

If 2x is the 0, then x = 0.

So our answer is C. 0,2

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Answer:

The 95% confidence interval is given by:

3.30<σ<8.76

Step-by-step explanation:

1) Data given and notation

s=4.798 represent the sample standard deviation

$\bar x$ represent the sample mean

n=10 the sample size

Confidence=95% or 0.95

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=10-1=9$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical values.