Machine machine with 140 gallon capacity needs to be filled with water/glycol mixture. Someone has already pump 50 gallons of 60
1 answer:
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Answer:
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
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.
In this question, we have that:
Find the probability that he weighs between 170 and 220 pounds.
This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.
X = 220
has a pvalue of 0.6554
X = 170
has a pvalue of 0.2743
0.6554 - 0.2743 = 0.3811
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
Answer:
The number of students in each <u>van are 7</u> and number of students in each <u>bus are 23.</u>
Step-by-step explanation:
Let the number of students in each van be 'x' and number of students in each bus be 'y'.
Given:
<u>High School A:</u>
Number of students = 132
Number of buses = 3
Number of vans = 9
As per question,
-------1
<u>High School B:</u>
Number of students = 205
Number of buses = 8
Number of vans = 3
As per question,
-------2
Multiplying equation (2) by -3 and adding the result to equation (1), we get:
Now, plug in 23 for 'y' in equation (1) and solve for 'x'. This gives,
Therefore, the number of students in each van are 7 and number of students in each bus are 23