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Hello,
x= amount of flour that she poured in the canister
there was 5,026 grams of flour, and now: 5,026+x
In the bag there was 4,158, now: 4,158
I says that as a result the mass of the flour in the canister is twice the mass of the flour left in the bag, so:
So, she poured 1,096.67 grams, we subtract this from the initial amount in the bag and we have the answer:
Answer: there is 3,061.33 grams of flour in the bag
x= amount of flour that she poured in the canister
there was 5,026 grams of flour, and now: 5,026+x
In the bag there was 4,158, now: 4,158
I says that as a result the mass of the flour in the canister is twice the mass of the flour left in the bag, so:
So, she poured 1,096.67 grams, we subtract this from the initial amount in the bag and we have the answer:
Answer: there is 3,061.33 grams of flour in the bag
Answer:
For the 99th percentile, we have X = 206 seconds.
Step-by-step explanation:
Problems of normally distributed samples can be 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:
99th percentile:
Value of X when Z has a pvalue of 0.99. So we use
For the 99th percentile, we have X = 206 seconds.