Answer: 0.2119
Step-by-step explanation:
We assume that the random variable X is normally distributed.
Given : Population mean : 
Standard deviation : 
Z-score : 
Then, z-score corresponds to 116

By using the standard normal distribution table for z , we have


Hence, the required probability = 0.2119
Answer:x= 14
Step-by-step explanation:
84
"Bucket method"
.. (4)*(14%) + (x)*(8%) = (4 +x)*(10%) . . . . . liters and % are in each "bucket"
.. 56 +8x = 40 +10x . . . . . multiply by 100, eliminate parentheses
.. 16 = 2x . . . . . . . . . . . . . . add -40-8x, then divide by 2
.. 8 = x
8 liters of 8% lemonade should be added to make the mixture 10% lemon juice.
Answer:
14.9
Step-by-step explanation:
50-5.03 = 44.97
44.97 ÷ 3 = 14.99
The days she has recorded: 11 + 10 + 7 + 6 + 3 + 2 = 39
The mode distance (most often): 5 km
Median distance: 6.64 km ~= 6.5 km ~= 7 km by rounding upwards, so 3rd
Cumulative frequency: 11; 21; 28; 34; 37; 39