9514 1404 393
Answer:
420
Step-by-step explanation:
The prime factors of each denominator are ...
12 = 2²×3
14 = 2×7
5 = 5
10 = 2×5
The unique factors are 2²×3×5×7 = 420.
The least common denominator of these fractions is 420.
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<em>Additional comment</em>
- 5/12 = 175/420
- 9/14 = 270/420
- 2/5 = 168/420
- 1/10 = 42/420
2.2512*10^8 let me know if its wrong
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.
Cool You have a good software! I’m using this space so that you can mark the next person brainliest!
10.49 It was really 10.4880884817 but 8 rounds it up to 10.49