Answer:
The radius of the can, rounded to the nearest hundredth, is 530.66.
Step-by-step explanation:
We want to do the reverse of the formula for <em>V</em>, which is pi(r)^2(h).
to isolate r.
Let's start by writing an equivalent equation to V = 
<em>h</em> by solving for r
Now, substitute and solve for r
1014 * 3.14 / 6 = 530.66
Answer:
it would be 69 because you would round .5 to 1 then 1 plus the 68 from the 68.52 making it 69
Step-by-step explanation:
Answer: a. 19.200 to 20.800
Step-by-step explanation:
Formula to find the confidence interval
:-

, where n is the sample size
= Population standard deviation.
= Sample mean
= Two tailed z-value for significance level of
.
Given : Confidence level = 95.44% = 0.9544
Significance level = 
Using standard normal z-value table ,
Two tailed z-value for Significance level of 0.0456 :

Also,
n=144

Then, the required 95.44% confidence interval for the population mean :-

Hence, the 95.44% confidence interval for the population mean is <u>19.200 to 20.800</u>.
First write the equation in slope-intercept form which is more commonly known as <em>y = mx + b</em> form where the <em>m </em>or the coefficient of the x term represents the slope of the <em>b</em> or the constant term represents the y-intercept.
Subtract 2x from both sides to get <em>y = -2x - 4</em>.
I put the x term first because that's how it is in y = mx + b form.
Now we can see that the <em>b</em> or the constant term is -4.
We can write this as the ordered pair (0, -4).
Keep in mind when writing a y-intercept as an ordered pair, your x-coordinate will always be 0 in the ordered pair.
Answer:
10√2
Step-by-step explanation:
Lets cut the square into a triangle, making a line from one corner to another, then let's see what we have.
We shoupd have a triangle where we don't know the hypotenuse, which we can find using the formula: a^2 + b^2 = c^2
so:
10^2 + 10^2 = c^2
100 + 100 = c^2
c^2 = 200
now let's square root what we got
√200
there are 2 10's in 200, which will turn the equation to:
10√2
this can't be simplified further, so our answer is 10√2