Answer:
the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166
Step-by-step explanation:
The summary of the given statistical data set are:
Sample Mean = 186
Standard deviation = 29
Maximum capacity 3,417 pounds or 17 persons.
sample size = 17
population mean =3417
The objective is to determine the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds
In order to do that;
Let assume X to be the random variable that follows the normal distribution;
where;
Mean
= 186 × 17 = 3162
Standard deviation = 
Standard deviation = 119.57






Therefore; the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166
<u><em>Tyrell started with $541.</em></u>
First you must know the total amount of money spent on the games. For that Tyrell bought 6 video games this summer and each game cost 27 dollars. So to calculate the amount spent, the number of games purchased must be multiplied by the price of each one:
6 video games* 27 dollars each game= 162 dollars
So Tyrell spends 162 dollars.
On the other hand, you know that Tyrell had 379 dollars left after he bought the video games. This indicates that after spending $ 162 on video games, there were $ 379 left over. To know the amount of money that Tyrell had, you must add the amount spent on games and the money that was left over:
162 dollars + 379 dollars= 541 dollars
So, <u><em>Tyrell started with $541.</em></u>
Answer:
320 x^6
Step-by-step explanation:
(5x^3)(4x)^3
5 x^3 * 4^3 * x*3
5x^3 *64x^3
320 x^6