Answer:
95.44% of the grasshoppers weigh between 86 grams and 94 grams.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 90 grams and a standard deviation of 2 grams.
This means that 
What percentage of the grasshoppers weigh between 86 grams and 94 grams?
The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So
X = 94
has a p-value of 0.9772.
X = 86
has a p-value of 0.0228.
0.9772 - 0.0228 = 0.9544
0.9544*100% = 95.44%
95.44% of the grasshoppers weigh between 86 grams and 94 grams.
Answer:
1 parallelogram and 1 rectangle
Step-by-step explanation:
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Answer:
1/3
Step-by-step explanation:
volume of a cylinder = nr^2h
Volume of a cone = 1/3(nr^2h)
n = 22/7
r = radius
h = height
If the volume of a cylinder is 300, the volume of a cone = 1/3 x 300 = 100
the capacity of a cone is 1/3 that of a cylinder
Answer:
The probability is 1/36
Step-by-step explanation:
The probability of getting 4 is 1 out of 6 and the probability of gettin a 5 is also 1 out of 6. So if you multiply the probabilities you'll get 1 out of 36.
