Answer:
1/3⁵⁶ is the answer i think if it's not then i am sorry
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
m + 4 = 5m - 12
Subtract m from both sides.
4 = 4m - 12
Add 12 to both sides
16 = 4m
Divide both sides by 4
m = 4
Answer:
0.9325
Step-by-step explanation:
Given
n = sample size = 80
p = probability = 0.4
q = 1 – p = 0..6
standard deviation for the proportion = √ (p * q) /n = √(0.4*0.6)/80 = 0.0547
for the proportion mean is 0.4
now we can find z and the probability
P (0.3<mean<0.5) = P((0.3– 0.4)/0.0547 < z < (0.5– 0.4)/0.0547)
P (0.3<mean<0.5) = P(-1.828< z < 1.828)
Using a z table
P (0.3<mean<0.5) = 0.9325
Answer:
Yes, it can. Triangles [in order for them to be one] must equal 180. If you add all of these angles together, since a triangle only has three angles anyway, it equals to 180, so you know it's a triangle.
If this was confusing, I am happy to help further!