Express the following sentence in mathematic sentence, dividing 120 by 40 is equal to 3
1 answer:
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Answer:
9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?
This is 1 subtracted by the pvalue of Z when X = 16. So
has a pvalue of 0.9082
1 - 0.9082 = 0.0918
9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated
Answer:
C and F
Step-by-step explanation:
Given
(3x - 5)² = 19 ( take the square root of both sides )
3x - 5 = ± ← note plus or minus
Add 5 to both sides
3x = ± + 5 ( divide both sides by 3 )
x = ±
Separating the solutions
x = → C
x = → F