Answer:
f(x)= -3x+10
Step-by-step explanation:
Answer: 0.418 < p < 0.512
Step-by-step explanation: A 95% conifdence interval for a population proportion is given by:

where:
p is the proportion
z is score in z-table
n is sample size
The proportion for people who said "yes" is
= 0.465
For a 95% confidence interval, z = 1.96.
Calculating


0.465 ± 1.96*0.024
0.465 ± 0.047
Interval is between:
0.465 - 0.047 = 0.418
0.465 + 0.047 = 0.512
<u>The interval with 95% of confidence is between 0.418 and 0.512.</u>
Answer:
48x − 12y−3
Step-by-step explanation:
Distribute:
(6)(8x) + (6)(−2y) + −3
48x + −12y + −3
48x − 12y−3
4.4
Step-by-step explanation:
X is inversely proportional to y, so x = k/y where k is just a constant.
X is directly proportional to z squared, so x = kz^2 where k is a constant
Here, The second relationship doesn't even matter.
Plug the values for x and y into the first equation and solve for k.
5.5=k/4
k=5.5*4
k=22
Now plug k and the second y back in.
x=22/5
x=4.4