Answer:
$48
Step-by-step explanation:
The video store sold 5 movies for 12 dollars .
Each movie cost 12/5 dollars
Which is 2.4dollars .
20 movies will be sold for
$2.4 x 20 = $48
Answer: 505
Step-by-step explanation:
The formula to find the sample size n , if the prior estimate of the population proportion (p) is known:
, where E= margin of error and z = Critical z-value.
Let p be the population proportion of crashes.
Prior sample size = 250
No. of people experience computer crashes = 75
Prior proportion of crashes ![p=\dfrac{75}{250}=0.3](https://tex.z-dn.net/?f=p%3D%5Cdfrac%7B75%7D%7B250%7D%3D0.3)
E= 0.04
From z-table , the z-value corresponding to 95% confidence interval = z=1.96
Required sample size will be :
(Substitute all the values in the above formula)
(Rounded to the next integer.)
∴ Required sample size = 505
<h2>
Rate at which area is increasing is 1.08 m²/s.</h2>
Step-by-step explanation:
Area of triangle is with side a and b and angle C between them is given by
A = 0.5 ab SinC
Here we need to find how area changes with a and b fixed and C is changing,
![\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%20%280.5%20absinC%5Cright%20%29%5C%5C%5C%5C%5Cfrac%7BdA%7D%7Bdt%7D%3D0.5ab%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%20%28sinC%5Cright%20%29%5C%5C%5C%5C%5Cfrac%7BdA%7D%7Bdt%7D%3D0.5abcosC%5Cfrac%7BdC%7D%7Bdt%7D)
We have
a = 8 m
b = 9 m
![C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B%5Cpi%7D%7B3%7Drad%5C%5C%5C%5C%5Cfrac%7BdC%7D%7Bdt%7D%3D0.06rad%2Fs)
Substituting
![\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%3D0.5%5Ctimes%208%5Ctimes%209%5Ctimes%20cos%5Cleft%20%28%20%5Cfrac%7B%5Cpi%7D%7B3%7D%5Cright%20%29%5Ctimes%200.06%5C%5C%5C%5C%5Cfrac%7BdA%7D%7Bdt%7D%3D1.08m%5E2%2Fs)
Rate at which area is increasing is 1.08 m²/s.
Answer:
A. $41.99
B. $18.00
Step-by-step explanation:
To find discount: 59.99×0.7= 41.99
To find sales price: 59.99-41.99=18
If the truck can carry 1000 apples at a time, Bananaville is 1000 miles away from Appleland and you pay one apple per mile, then it's impossible to deliver any apple to Bananaville, because on 1000 miles you'll pay 1 apple * 1000 miles = 1000 apples as a tax. So no matter if you go once, twice, three times or a hundred times there - you'll be never able to deliver any apple.
Answer: The highest number of apples you can get to Bananaville is 0.