Answer:
This is slope-intercept form: y = (-3/4)x + 3
The slope is: -3/4
The y-intercept is: 3
Step-by-step explanation:
3x + 4y - 12 = 0
Isolate y
3x - 3x + 4y -12 + 12 = -3x + 12
Simplify
4y = -3x + 12
Divide 4 on each side to get y by itself
4y/4 = -3x/4 + 12/4
Simplify
y = (-3/4)x + 3
This is slope-intercept form: y = (-3/4)x + 3
The slope is: -3/4
The y-intercept is: 3
Answer:x<-7
Step-by-step explanation:
3x -15x - 30 > 54
-12x-30>54
-12x<54+30
I moved 30 from left side to right which becomes positive and > becomes <
-12x<84
-12x/-12<84/-12 I used my calculator to do this
x<-7
Answer:
A
Step-by-step explanation:
To start off, you know 18 hours= 720
So you could automatically get rid of B and D since 19 and 17 are not 18.
After that, you have it down to A and C. The way you would find how much she charges for one hour is dividing 720 by 18. When you do that it means you are divding 720$ into 18 different groups each group representing an hour. When you divide 720 by 18 you should get 40. So every hour she makes 40 dollars. 40x 2 hours is 80. I hope I helped you!
A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of 60 funds' returns shows an average rate of 12%. If the population standard deviation is assumed to be 4%, the 95% confidence interval estimate for the annual return on all mutual funds is
A. 0.037773 to 0.202227
B. 3.7773% to 20.2227%
C. 59.98786% to 61.01214%
D. 51.7773% to 68.2227%
E. 10.988% to 13.012%
Answer: E. 10.988% to 13.012%
Step-by-step explanation:
Given;
Mean x= 12%
Standard deviation r = 4%
Number of samples tested n = 60
Confidence interval is 95%
Z' = t(0.025)= 1.96
Confidence interval = x +/- Z'(r/√n)
= 12% +/- 1.96(4%/√60)
= 12% +/- 0.01214%
Confidence interval= (10.988% to 13.012%)
