Answer:
Step-by-step explanation:
Given that a popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags have an average weight of 1,040 grams with a standard deviation of 25 grams.
i.e. Sample mean = 1040 and
Sample std dev s = 25 gm
Sample size n = 100
Hence by central limit theorem we have the sample mean follows a normal distribution with mean =1040 and std dev = s = 25 gm
Normal curve would be with mean 1040 and std deviatin 25
b) P(X>1115)
= 1-0.9987
=0.0013
i.e. 0.13% would receive a bag that had a weight greater than 1115 grams
Answer: 142506
Step-by-step explanation:
Given : The total number of choices for people in committee = 30
The number of people need to be chosen =5
Since , here order doesn't matter, so we use combination.
The combination of r things taking from n at a time is given by :-
Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-
Hence, the committee can be made in 142506 ways.
Answer:
45 i think its right or 46
Answer:
60°
Step-by-step explanation:
Angles can be converted from radians to degrees by multiplying by 180/π.
π/3 * 180°/π = 180°π /3π = 180/3 = 60°
60° is the measure of ZYX in degrees.
JDK-right triangle. JD=13, DK=3
By the Pythagorean theorem
JK≈13,34
Answer: the distance is 13 units
P.S. Hello from Russia
