Use trigonometry.
sin x = opposite ÷ hypotenuse
sin x = 7/9
Take the arcsin on both sides.
arcsin(sin x) = arcsin(7/9)
x = 51.057558731
Rounding to the nearest whole number means to round to the ones place.
Answer: x = 51 degrees
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

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

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.
Answer: 450 rest 100
Step-by-step explanation:
So, we need to calculate this division 100.000/222 and get the rest.
Well, 222 enters in 1000 by 4 times.
222 times 4 is 888
So, 100.000/222 = 4
888-
We subtract 888 from 1000.
That will be 112
100.000/222 = 4
888
112
Now, get the next 0 down next to 112
100.000/222 = 4
888
1120
222 get in 1120 by 5 times.
5 times 222 = 1110
divide 1120 by 1110
100.000/222 = 45
888
1120
1110
That will be 10
100.000/222 = 45
888
1120
==10
Get the next zero down
100.000/222 = 45
888
1120
==100
222 gets in 100 by 0 times.
100.000/222 = 450
888
1120
==100
0
100 subtracted by 0 is 100
100.000/222 = 450
888
1120
==100
0
100
The rest is 100 and the result is 450
Now, you can do the verification:
222 time 450 is 99,900.
If you add the rest to 99,900 it will be 100.000. So the result is good
Answer:
8.3
Step-by-step explanation:
8.3 - 8.3 = 0
D. Nothing, since there was no control group.