Answer:
The length of Ann's toy fish is 12 inches; the length of Carol's toy fish is 17 inches; and the length of Liz's toy fish is 33 inches.
Step-by-step explanation:
Let's say Carol's fish is c inches long, Ann's is a inches long, and Liz's is l inches long. Then:
c = 5 + a
l = 9 + 2a
a = 12
Plug 12 in for a to find c and l:
c = 5 + a = 5 + 12 = 17 inches
l = 9 + 2a = 9 + 2 * 12 = 9 + 24 = 33 inches
Thus:
The length of Ann's toy fish is 12 inches; the length of Carol's toy fish is 17 inches; and the length of Liz's toy fish is 33 inches.
Answer:
B. 12.5
Step-by-step explanation:
We have the lowe confidence interval = 185
The upper confidence interval = 210
Mean of X = (lower confidence + upper confidence interval)/2
Mean of X = 185 + 210/2
= 197.5
The margin of error = the upper confidence interval - mean of X
= 210-197.5
= 12.5
Answer:
It will take nine years and four months for the refrigerator to pay for itself.
Step-by-step explanation:
The new refrigerator which costs $1200, saves the family 22% annually in energy cost.
Since the old refrigerator costs $580 to run, we want to determine how many years it will take for 22% of $580 per year to make $1200.
22% of $580
= 580 × 0.22
= 127.6
That is, it saved then $127.6 per year.
Now,
$1200/127.6
≈ 9.4
Which means, it will take 9 years and 4 months for the refrigerator to pay for itself.
Answer:
B
Step-by-step explanation:
Set up the equation
z = 
Plug in the numbers to find the value of k
3 = 
12 = 4k
3 = k
Solve to find the value of z
z = 
z = 
z = 48/9
z = 16/3
answer D
Step-by-step explanation:
Hello,
we can check the graph of the functions as attached or compute the vertex analytically
from the graph you can see that D is the correct answer
