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2 years ago

A robot along the surface of the curved pit reaches a ( blank 1) depth of ( blank 2) feet.

Mathematics

1 answer:

ozzi2 years ago

3 0

Answer: Minimum; -3

Step-by-step explanation:

I found the answer by entering it into Desmos Graphing Calculator and then looking at the point of the vertex, which in this case would be (9,-3).

You could also find the x-intercepts, (p,0) and (q,0), using the quadratic formula and then plug them into the equation: x=p+q/2 which will give you your axis of symmetry, or your x value in your vertex. Then, plug that number into your equation. You can plug it into the equation you posted here or the equation of your x-intercepts. (x-p) (x-q) Keep in mind that the minus refers to you putting the opposite of your x-intercept. For example, if your x-intercept was 4, then you would have -4 in the equation.

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C = pi * D

C = pi * 7cm

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Step-by-step explanation:

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3 years ago

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

gtnhenbr [62]

Answer:

$n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547$

So the answer for this case would be n=22547 rounded up to the nearest integer

Step-by-step explanation:

Let's define some notation

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=58.2$ represent the population standard deviation

n represent the sample size

$ME =1$ represent the margin of error desire

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =+1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance would be $\alpha=0.01$ and the critical value $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547$

So the answer for this case would be n=22547 rounded up to the nearest integer

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3 years ago