Answer:
x = $2.56
Step-by-step explanation:
To solve this, you do the inverse of both operations, which is multiplication and subtraction. The first inverse would be addition, so 2.81 + 2.31 = 5.12. Then, the second inverse would be division, so 5.12 divided by 2 = 2.56. So therefore, x = $2.56 is the correct answer for the price in September 2006.
I'm assuming that you want to know how many hours until they are the same temperature. Here is the equation you can use to figure it out:
40 + 5h= 340-45h
Here is how I would solve it:
40+ 5h= 340 - 45h
+45 h + 45 h
40+50h= 340
-40 -40
50h= 300
/50 /50
h= 6
It will take 6 hours for the two appliances to reach the same temperature, assuming the power doesn't go out. For reference, they would be at 80 degrees.
Using the equation A^2 + B^2 = C^2 you get 169 + 64 = C^2 which comes to 233 = C^2 so to get C you square root both sides giving you B as the correct answer
Answer:
68% of races will his finishing time be between 79.5 and 82.5 seconds
Step-by-step explanation:
Mean time = 81 seconds
Standard deviation = 1.5 seconds
According to the empirical rule : 68%, 95%, 99% lies within 1, 2, and 3 standard deviations of the mean respectively.
Hence, for a finishing time between : 79.5 and 82.5
79.5 = 81 - 1.5 (1 standard deviation to the left of the mean)
82.5 = 81 + 1.5 (1 standard deviation to the right of the mean)
Hence,
79.5 and 82.5 lies within 1 standard deviation from the mean and it is Hence has a percentage of 68%
Answer:
502.4 ± 30.14 in^3
Step-by-step explanation:
r = 4 in, h = 10 in
error = ± 0.1 inch
Volume of a cylinder, V = π r² h
Take log on both the sides
log V = log π + 2 log r + log h
Differentiate both sides
dV/V = 0 + 2 dr/r + dh /h
dV/V = 2 (± 0.1) / 4 + (± 0.1) / 10
dV/V = ± 0.05 ± 0.01 = ± 0.06 .... (1)
Now, V = 3.14 x 4 x 4 x 10 = 502.4 in^3
Put in equation (1)
dV = ± 0.06 x 502.4 = ± 30.144
So, V ± dV = 502.4 ± 30.14 in^3