Answer:
Evaluate ∫3x2sin(x3)cos(x3)dx
Step-by-step explanation:
hello (a) using the substitution u=sin(x3) because
du =3x²(cos x3)dx
you have ∫3x2sin(x3)cos(x3)dx = ∫udu=u²/2 +c............continu
Answer:
$68.24
Step-by-step explanation:
Three friends went to Texas Roadhouse for dinner. The total bill was $76.25. They left the server a 20% tip and the Montgomery County tax rate is 9.5%.
Given data
The total bill was $76.25
tip
=20/100*76.25
=0.2*76.25
=15.25
Tax
=9.5/100*76.25
= 0.095*76.25
=$7.24375
In all the bills is 76.25-15.25+7.24375
=61+7.24375
=$68.24
Approximately 76
You take (250 - 81 =169)=19 so you keep doing that until you run out of members
Using the Empirical Rule, it is found that 95% of the employees will have a travel time within the following range:
B. 8 minutes to 28 minutes.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Considering that the mean time is 18 minutes and the standard deviation is 5 minutes, the the bounds of the 95% range are given by:
Hence option B is correct.
More can be learned about the Empirical Rule at brainly.com/question/24537145
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