First you wanna distribute the 3 to x and 4
So the problem will then be 3x+12= 27
Then you wanna subtract 12 from 27
You get 3x = 15
Now you wanna divide 3x and 15 by 3
You then get X = 5

8 0

3 years ago

An elevator has a placard stating that the maximum capacity is 23252325 lblong dash—1515 passengers. So, 1515 adult male passen

alexgriva [62]

Answer:

0.7734; no, it does not.

Step-by-step explanation:

To find this probability we will use a z-score. We are dealing with the probability of a sample mean being larger than a given value; this means we use the formula

$z=\frac{\bar{X}-\mu}{\sigma \div \sqrt{n}}$

Our x-bar in this problem is 155, as that is the sample mean we are trying to find the probability of. Our mean, μ, is 161 and our standard deviation, σ, is 31. Our sample size, n, is 15. This gives us

$z=\frac{155-161}{31\div \sqrt{15}}=\frac{-6}{8.0042}=-0.75$

Using a z table, we see that the area under the curve less than this, corresponding with probability less than this value, is 0.2266. This means that the probability of the sample mean being larger than this is

1-0.2266 = 0.7734, or 77.34%.

Since there is a 77.34% chance of the passengers having a mean weight that is too heavy, this elevator is not safe.

8 0

2 years ago