Step-by-step explanation:
For y = x^3 - 4 when x = 0, y = -4.
For y = x^2 + 3 when x = 0, y = 3.
Looking at the graph, the y-intercept of the function is below 0. Hence the bottom part is from x^3 - 4 and the top is from x^2 + 3.
The bottom part has a dark circle, which means when x = 1 it belongs to x^3 - 4.
Hence the answer is D.
Answer:
c=8
Step-by-step explanation:
Simplifying
3c + -15 = 17 + -1c
Reorder the terms:
-15 + 3c = 17 + -1c
Solving
-15 + 3c = 17 + -1c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add 'c' to each side of the equation.
-15 + 3c + c = 17 + -1c + c
Combine like terms: 3c + c = 4c
-15 + 4c = 17 + -1c + c
Combine like terms: -1c + c = 0
-15 + 4c = 17 + 0
-15 + 4c = 17
Add '15' to each side of the equation.
-15 + 15 + 4c = 17 + 15
Combine like terms: -15 + 15 = 0
0 + 4c = 17 + 15
4c = 17 + 15
Combine like terms: 17 + 15 = 32
4c = 32
Divide each side by '4'.
c = 8
Simplifying
c = 8
Chucks age=C
Dave’s age=x
C=x-3
Find the total number of dogs by adding each day:
Total dogs = 23
Percent of dogs: Divide the number of dogs by the total number of patients:
= 23 / 50 = 0.46 x 100 = 46%
Use the given formula to find the standard error:
Standard error = √(0.46*(1-0.46)/50) = 0.07
90%: Find Z value for 90% ( 1.645) multiply by SE:
1.645 x 0.07 = 0.115 = 0.12
Now add and subtract that value from the Percent from above:
46 + 12 = 58%
46-12 = 34%
Answer (34%, 58%)
95%: Find Z value for 95% ( 1.96) multiply by SE:
1.96 x 0.07 = 0.137 = 0.14
Now add and subtract that value from the Percent from above:
46 + 14 = 60%
46-14 = 32%
Answer (32%, 60%)
