Answer:
(x,y)=(-10, -30)
Step-by-step explanation:
x/4 -y/12 = 0
--> x/4 = y/12
substitute into the first eq.
x/4 + y/12 = -5
y/12 + y/12 = -5
2y/12 = -5
y= (-5) * 12/2 = -30
solve for x, x/4 = (-30)/12
x=4* (-30)/12 = -10
Answer:
11. Eagles to Whales
12. 23:50
13. 27:23
14. 3:5
Step-by-step explanation:
11. Eagles to whales since there are 4 eagles and 2 whales
12. There are a total of 100 senators, so the ratio is 46:100, divide by 2 to get lowest terms
13. #'s are given to you 54:46, just simplify by dividing
14. 21:35, simplify by dividing common terms, which in this case is 7
Answer:
y= -3/4x +5
Step-by-step explanation:
formula: y=mx+b
m= slope
x= variable
b= y-intercept
plug in the numbers into the formula.
y= -3/4x +5
Answer:
The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.
The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.
The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.
Answer:
The radical form of 3 2/3 is
![\sqrt[3]{3 {}^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B3%20%7B%7D%5E%7B2%7D%20%7D%20)