Step-by-step explanation:
pythagoras theorem: c²=a²+b²
Where c= longest side of a right angle triangle
AB= 6+r = c
AD= 12 =a
CD= r =b
(6+r)² = 12²+ r²
36+12r+r² =144 +r²
12r+r²-r²=144-36
12r=108
r= 108/12
r=9
Answer:
3v/h = b
Step-by-step explanation:
1/3 is a given fraction and to get rid of it you must multiply by it's reciprocal of 3/1 or 3. You will also multiply the other side by 3
3 * v = (1/3 bh) * 3 --> 3v = bh
divde both sides by h and you get 3v over h = b
3v/h = b
Hope this helps!
Answer:
This is a reasonable decision because the sample size has no effect on the 90% confidence interval
Step-by-step explanation:
90% confidence interval
larger sample size = 20
condition : sample mean ( x-bar ) is the same for both samples
<em>This is a reasonable decision because the sample size has no effect on the 90% confidence interva</em>l
<u>from condition 1 :</u>
Amount of drink dispensed is normally distributed with known standard deviation , given a random sample of n drinks and the sample mean at a confidence interval of 90%
<u>for condition 2 :</u>
sample size = 20
mean = 2.25 ( assumed value )
std = 0.15 ( assumed value )
Z = 1.645 ( Z-value )
determine the 90% confidence interval
= mean ± z 
= 2.25 ± 1.645 
= 2.25 ± 0.0335 = ( 2.2835 , 2.2165 )
Answer:
The sample is large enough, representative of the entire population, and chosen randomly so the conclusion is valid.
Original price: $3,495
Yearly price decrease = 0.2 x 3,495 = $699 per year
Let y be the value of the car and x be the number of years:
y = 3495 - 699x
After 5 years,
y = 3495 - 699(5)
= $0
In order to solve this problem, we set up a linear equation where the variables were the value of the car and the time passed since purchase. The claim that the car will not be anything is true to an extent because its price has dropped to 0 according to our function; however, practically, a car cannot be $0 so it will be worth at least something, however smaller than its original price.
