Given there are 22 participants total, the possible pairs chosen for the initial practice session are calculated as
22C2 = 231
. The probability of selecting one individual from each gender can be determined using the following calculation:
(10C1)x(12C1) / 231 = 40/77
. Approximately 52% represents the probability in percentage form, so the correct answer is the first option.
(I’ll use brackets to represent my absolute value bars, haha) [5 x -3] [-15] = 15.
Answer:
b) falls between 18.4 and 31.6 minutes.
Step-by-step explanation:
Problems involving normally distributed samples can be tackled using the z-score formula.
In any set with a mean
and standard deviation
, the z-score for a measurement X is calculated as follows:

The Z-score indicates how many standard deviations an observation diverges from the mean. After determining the Z-score, consulting the z-score table provides the associated p-value. This p-value represents the likelihood of observing a measure less than X, i.e., the percentile of X. Subtracting the p-value from 1 yields the probability of observing a measure greater than X.
In this question, we find that:

To cover the Middle 90%
The lower limit is determined as the value of X when Z corresponds to a p-value of 0.5 - 0.9/2 = 0.05.
The upper limit corresponds to the value of X when Z has a p-value of 0.5 + 0.9/2 = 0.95.
Lower limit:
X when Z = -1.645



Upper limit:
X when Z = 1.645



Thus, the correct assessment is:
b) between 18.4 and 31.6 minutes.
Answer:
cuando hables de raviolis de queso, dile a Martha que vaya al supermercado a comprar raviolis Chef Boyardee.
Answer:
214
Step-by-step explanation:
The dimensions of the playing field are 53.33 yards wide and 120 yards long, requiring us to compute the area by multiplying 53.33 by 120 yards. This results in 6399.6. The thickness being applied is 1.2 millimeters. To find how many containers are needed, divide the area, 6399.6 by 1.2 which equals 5333. Finally, dividing that by 25 gallons gives us 213.32, so you need to buy 214 rounded.