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State the domain of the rational function. f(x) = seventeen divided by quantity five minus x
1 answer:
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Answer:
0.6844 is the required probability.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $1,250
Standard Deviation, σ = $125
We are given that the distribution of daily sales is a bell like shaped distribution that is a normal distribution.
Formula:
We have to find
P(sales less than $1,310)
Calculation the value from standard normal z table, we have,
0.6844 is the probability that sales on a given day at this store are less than $1,310.
(d) The particle moves in the positive direction when its velocity has a positive sign. You know the particle is at rest when and
, and because the velocity function is continuous, you need only check the sign of
for values on the intervals (0, 3) and (3, 6).
We have, for instance and
, which means the particle is moving the positive direction for
, or the interval (3, 6).
(e) The total distance traveled is obtained by integrating the absolute value of the velocity function over the given interval:
which follows from the definition of absolute value. In particular, if is negative, then
.
The total distance traveled is then 4 ft.
(g) Acceleration is the rate of change of velocity, so is the derivative of
:
Compute the acceleration at seconds:
(In case you need to know, for part (i), the particle is speeding up when the acceleration is positive. So this is done the same way as part (d).)