There are 40 cats in the ecosystem.
You set 1/5 equal to x/200. Then you cross multiply the fractions to get 5x=200. You divide both terms by 5 to get x, which equals 40.
3275 = x * (1+0.075/12)^(12*10)
3275 = x * (2.11206463)
x= 3275/2.11206463 = 1550.6154
x=1550.62
she needs to deposit $1,550.62
Answer:
x =2
SK = 21
KY = 13
SY = 34
Step-by-step explanation:
we can see from the picture the following:
SK + KY = SY equation 1
SK=13x-5 equation 2
KY = 2x+9 equation 3
SY = 36-x equation 4
using equation 2, equation 3 and equation 4 in equation 1 we have:
13x - 5 + 2x + 9 = 36-x
15x +4 = 36 - x
15x +x = 36-4
16x = 32
x = 32/16
x= 2
using x as 2 we evaluate it in equation 2, equation 3 and equation 4:
SK=13(2)-5 = 21
KY= 2(2) +9 = 13
SY = 36-2 = 34
Answer:
b. 2.333
Step-by-step explanation:
Test if the mean transaction time exceeds 60 seconds.
At the null hypothesis, we test if the mean transaction time is of 60 seconds, that is:
At the alternate hypothesis, we test if it exceeds, that is:
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
60 is tested at the null hypothesis:
This means that 
A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.
This means that 
Value of the test statistic:
Thus, the correct answer is given by option b.
Since each side is r times the side of ABC, then 30*r+40*r+60*r is the perimeter, which equals 130r (by separating it into r*(30+40+60) using the distributive property)
