A pretzel maker was interested in knowing the number of pretzels in each bag is sold. The results of the research are shown in t
1 answer:
Answer:
23 pretzels
Step-by-step explanation:
The range value is obtained by taken the difference between the maximum and minimum values ;
The range = maximum - minimum
From the box and whisker plot attached ; the maximum value = 68
Minimum value = 45
Hence, the range in the number of pretzels :
68 - 45 = 23
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Answer:
The number of cubes that fill the prism is 24
Step-by-step explanation:
Given as :
The length of cube (l) = cm
The length of prism (L) = 1 cm
The width of prism (w) = 2 =
cm
The height of prism (h) = cm
Let the number of cubes that fill the prism = x
Now, Volume of cube with length (l) = l³ cm³
Or, Volume of cube with length (l) = cm³
Or, Volume of cube with length (l) = cm³
Again , Volume of prism =
Or, Volume of prism =
Or, Volume of prism = cm³
<u>So , The number of cubes to fill prism </u>
The number of cubes × Volume of cube = Volume of prism
Or, x × cm³ =
cm³
or x = = 24
Hence The number of cubes which fill the prism is 24 Answer
Answer:
0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component
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.
Sum of normal variables:
When normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.
The mean values are 20, 15, and 30 min, respectively:
This means that
The standard deviations are 1, 2, and 1.5 min, respectively.
This means that
What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?
Mean and standard deviation are in minutes, so this is the pvalue of Z when X = 60.
has a pvalue of 0.0314
0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component