3.006 rounded to the nearest tenth is 3.0. This is due to the fact that
the 6 rounded up will mean that the current 0 becomes 1, but this will
not be carried to the tenth when rounding up.
Answer: 74.5% of the measurements fall within one standard deviation of the average.
Step-by-step explanation:
The total number of measurements given is 2 + 12 + 10 + 33 + 40 + 76 + 80 + 65 + 52 + 22 + 12 + 5 + 11 = 420
If the mean is 21 mm and one standard deviation is 0.23 mm, then one standard deviation from the mean would be
21 ± 0.23
The lower limit is 20.77 mm
The upper limit is 21 + 0.23 = 21.23 mm
The number of measurements that fall within this range are
20.8 × 40
20.9 × 76
21.0 × 80
21.1 × 65
21.2 × 52
The total number of measurements that fall within this range is
40 + 76 + 80 + 65 + 52 = 313
The percentage of the measurements that fall within one standard deviation of the average is
313/420 × 100 = 74.5%
Answer:
The weight of the block of ice after 1 day is of 4.81 pounds.
Step-by-step explanation:
Equation for exponential decay:
The equation that models an amount after t hours, subject to exponential decay, is given by:

In which A(0) is the initial amount and r is the decay rate, as a decimal.
A 10-pound block of ice melts at a rate of 3% per hour.
This means that 
So



Find the weight of the block of ice after 1 day.
One day has 24 hours, so this is A(24).

The weight of the block of ice after 1 day is of 4.81 pounds.
Answer:
16d^20
Step-by-step explanation:
to raise a product to a power, raise each factor to that power. (-2)^4x(d^5)^4
evaluate the power (-2)^4 x (d^5)^4
16 x (d^5)^4
1: y=8, (-2,8)
2: y=6, (-1,6)
3: y=0, (2,0)
Step-by-step explanation:
Insert the x value into each equation then see what value of y that you need to get 4 on the right hand side of the equation.