(1) The sample mean stands at 1480 hours while the population standard deviation is 80 hours.(2) The null hypothesis posits that the average lifespan of fluorescent bulbs is 1500 hours.(3) The critical value is 1.645.(4) The test statistic is D, -1.58.(5) The conclusion is B, we reject H0.(6) Thus, the conclusion indicates A, there isn't sufficient evidence to substantiate the claim that the average lifespan of its fluorescent bulbs is 1500 hours.
The general equation for exponential decay characterized by a half-life (T) is expressed as N(t) = N_0(1/2)^(t/T), where N(t) signifies the amount remaining at time t, N_0 stands for the initial amount (at t=0), and T denotes the half-life of the substance. The half-life of carbon-14 is about 5,730 years. When starting with 6 mg of carbon-14, the equation for the remaining amount after t years would be established.
Answer:
Hours
Step-by-step explanation:
This is an incorrect figure.
T<span>he area of a figure signifies the measure of space within a two-dimensional shape, typically expressed as square units based on the figure's dimensions.
For instance, with a shape having dimensions of k, its area can be given by

.
</span>
<span>Consider that one similar figure possesses an area nine times that of another.
As these figures are similar, their areas correspond to the proportionality of their dimensions.
Let the smaller shape's dimensions be k, while the larger is p times the dimensions of the smaller shape. The smaller shape's area is

and the larger shape's area is

.
Now, knowing the larger figure's area is nine times the area of the smaller figure, we have:

</span>
Thus, the dimensions of the larger figure must be 3 times those of the smaller figure.