A bathtub emptied 25 liters of water into 1/3 of a minute.How many liters of water does the bath drain per minute
1 answer:
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Answer:
Step-by-step explanation:
1. Eggs are sold at a price of P 105.00 per dozen.
Rate =
2. The carpentry job can be done by 3 carpenters in 4 days.
Rate at which each carpenter works = = 1
days
This shows that each carpenter worked for an average of 1.3333 days to complete the job.
3. Five tickets are sold at P 600.00
The price for one ticket =
= 120
One ticket is sold for P 120.00.
4. The dollar's rate is P 52.00.
This implies that;
1 dollar = P 52.00
dollar rate =
5. The ratio of water to milk in the recipe is 1 to 4.
This implies that to 1 measure of water, 4 measures of milk is used in the recipe.
rate =
Answer:
0.6826 = 68.26% probability that the first machine produces an acceptable cork.
0.933 = 93.3% probability that the second machine produces an acceptable cork.
The second machine is more likely to produce an acceptable cork.
Step-by-step explanation:
When the distribution is normal, we use 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.
What is the probability that the first machine produces an acceptable cork?
The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm, which means that
Acceptable between 2.9 and 3.1, which means that this probability is the pvalue of Z when X = 3.1 subtracted by the pvalue of Z when X = 2.9.
X = 3.1
has a pvalue of 0.8413
X = 2.9
has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
0.6826 = 68.26% probability that the first machine produces an acceptable cork.
What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)
For the second machine, we have that . Same probability we have to find out. So
X = 3.1
has a pvalue of 0.9332
X = 2.9
has a pvalue of 0.0002
0.9332 - 0.0002 = 0.933
0.933 = 93.3% probability that the second machine produces an acceptable cork.
Which machine is more likely to produce an acceptable cork?
Second one has a higer probability, so it is more likely to produce an acceptable cork.