V^2-8v=0 solving quadratic equation

Mathematics

1 answer:

solong [7]3 years ago

8 0

Answer:

v = 0, or v = 8

Step-by-step explanation:

The quadratic can be factored, then the zero product rule applied.

v^2 -8v = 0

v(v -8) = 0

A product will be zero when any of the factors is zero. So, the solutions are values of v that make the factors be zero.

v = 0

v -8 = 0 . . . ⇒ . . . v = 8

You might be interested in

What is the average lifespan of Tasmanian devils?

defon

5-6 years in the wild up to 8 years in captivity.

8 0

3 years ago

Read 2 more answers

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customer

AlladinOne [14]

Answer:

$4-2.326\frac{1}{\sqrt{100}}=3.767$

$4+2.326\frac{1}{\sqrt{100}}=4.233$

So on this case the 98% confidence interval would be given by (3.767;4.233)

Step-by-step explanation:

Previous concepts

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 means 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.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=4$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=100 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that $z_{\alpha/2}=2.326$