Answer:Fred has 13 9/10 minutes left for question C
Step-by-step explanation:
The total time that Fred has to do the three-problem quiz is 30 minutes.
He spent 10 7/10 minutes on question A. Converting 10 7/10 minutes to improper fraction, it becomes 107/10 minutes.
He spent 5 2/5 minutes on question B. Converting 5 2/5 minutes to improper fraction, it becomes 27/5 minutes.
Total time that Fred spent on question A and question B is
107/10 + 27/5 = (107 + 54)/10
= 161/10 minutes.
The amount of time that he has left for question C would be
30 - 161/10 = (300 - 161)/10 = 139/10
= 13 9/10 minutes
Answer:
First number=22
Second number=28
Step-by-step explanation:
Since you don't know either of the numbers we can call the first number x. The second number is the first number plus 6 or x+6. The sum is 22 more than the larger number so x+6+22 or x+28. Using this we can create the equation x+x+6=x+28. In order to isolate x we would subract x from both sides ending up with x+6=28. Then subract 6 from both sides to get x=22. This means the first number equals 22. Then to solve for the second number you plug 22 in for x to get the equation 22+6= the second number, so the second number is equal to 28. Look below for just the equation.
x+x+6=x+6+22
2x+6=x+28
-x -x
x+6=28
-6. -6
x=22
22+6
=28
22+28= 28+22
50=50
Answer:
The sample proportion is 0.158.
Step-by-step explanation:
In a confidence interval of proportions, we have the lower bound and the upper bound of the interval. The sample proportion is the halfway points between these bounds, that is, the sum of these bounds divided by 2.
In this problem, we have that:
Lower bound: 0.142
Upper bound: 0.174
Sample proportion: (0.142+0.174)/2 = 0.158
The sample proportion is 0.158.
Answer:
b), d)
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
All the x values are made negative
X = 4
F(x) = 2x
F(4) = 2(4)
F(4)= 8
X = 4 (still)
F(-x) = 2(-x)
F(-4) = 2 (-4)
F(-4) = -8
