Answer:
2 x 7
Step-by-step explanation:
a * b = 14
2a + 2b = 18
(a * b)/b = 14/b Dividing both sides by b
a = 14/b
Substitute a in the perimeter equation
2(14/b) + 2b = 18
28/b + 2b = 18
2b - 18 + 28/b = 0
Multiply both sides by b
2b^2 - 18b + 28 = 0
Divide both sides by two
b^2 - 9b + 14 = 0
The Factors of 14 include -2 and -7 which add up to -9
(b - 2) * (b - 7) = 0
This has two answers because b can be either the side that is 2 long or 7 long, so there's no need to go back and solve for a.
2 x 7
Answer: The fraction would be 0.53.
Step-by-step explanation:
Since we have given that

where, A is the constant initial production rate
t is the time.
For 98 years, the production rate in motorcycles per year would be

For 13 years, the production rate in motorcycles per year would be

So, the fraction of their total production was built during the last 13 years would be

Hence, the fraction would be 0.53.
Answer:
1. (-6, -5) to (-5, -4)
2. (-3, -4) to (-1, -1)
Step-by-step explanation:
Increasing intervals include the x- and y- points increasing.
PS: I don't really know how to present the answer so if you're gonna submit it for a test or smth pls improve on the formatting yourself based on the question (So sorry I didn't really understand the question about writing a list of intervals and separating them with a comma :P)
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 )