Josie is training for a race the ratio of the number of minutes she wants to the number of miles she wants is 2043 she plans to
1 answer:
Answer:
Josie takes 0.93 minutes to run 2 miles.
Step-by-step explanation:
We are given the following in the question:
Ratio:
Number of minutes: Number of miles = 20:43
Josie wants to run 2 miles. We have to find the number of minutes she need to run to maintain the ration.
Let x be the number of minutes Josie run.
This can be done in the following manner:
Thus, Josie takes 0.93 minutes to run 2 miles.
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8 out of 40 fifth graders went to see the lab animal presentation. This can be written as this expression:
Find the greatest common factor of 8 and 40:
Factors of 8: 1, 2, 4, 8
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Therefore the greatest common factor is 8. Divide both the numerator and the denominator by 8.
Therefore the fractional part is
.
To get the percentage, you need to get the denominator to a value of 100.
To do so, you need to find the value to multiply both the numerator and denominator by to achieve this.
To get this value, you can divide 100 by the denominator of the fractional value.
Then you can multiply both the numerator and denominator by 20:
From here, the numerator will state the percentage:
Hope this helps :)
Find the greatest common factor of 8 and 40:
Factors of 8: 1, 2, 4, 8
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Therefore the greatest common factor is 8. Divide both the numerator and the denominator by 8.
Therefore the fractional part is
To get the percentage, you need to get the denominator to a value of 100.
To do so, you need to find the value to multiply both the numerator and denominator by to achieve this.
To get this value, you can divide 100 by the denominator of the fractional value.
Then you can multiply both the numerator and denominator by 20:
From here, the numerator will state the percentage:
Hope this helps :)
Using the normal distribution, it is found that 7.64% of of sample means are greater than 8.8 hours.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The parameters are given as follows:
The proportion of sample means greater than 8.8 hours is <u>one subtracted by the p-value of Z when X = 8.8</u>, hence:
By the Central Limit Theorem
Z = 1.43
Z = 1.43 has a p-value of 0.9236.
1 - 0.9236 = 0.0764.
7.64% of of sample means are greater than 8.8 hours.
More can be learned about the normal distribution at brainly.com/question/25800303
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