Give the rate in miles per hour. Round to the nearest tenth. Rachel jogs 20 feet in 3 seconds.
1 answer:
Answer:
Rate of jogging is 4.6 miles per hour.
Step-by-step explanation:
Rachel jogs 20 feet in 3 seconds and we have to find the rate of jogging in miles per hour.
Since 1 feet = 0.000189394 miles
Therefore, 20 feet = 0.0037879 miles
Similarly, 1 second = hour
Therefor, 3 seconds =
= hours
Formula to calculate the rate =
=
= 1200 × 0.0037879
= 4.545
≈ 4.6 miles per hour
Therefore, rate of jogging is 4.6 miles per hour.
You might be interested in
Answer:
The minimum score of those who received C's is 67.39.
Step-by-step explanation:
Problems of normally distributed samples are 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:
If 69.5 percent of the students received grades of C or better, what is the minimum score of those who received C's?
This is X when Z has a pvalue of 1-0.695 = 0.305. So it is X when Z = -0.51.
The minimum score of those who received C's is 67.39.
Answer:
The p value for this case is given by:
Since the p value is lower than the significance level we have enough evidence to conclude that the true proportion is significantly higher than 0.5 at 5% of significance.
Step-by-step explanation:
Information given
n=165 represent the random sample selected
55 represent the students indicated a belief that such software unfairly targets students
X =165-55= 110 represent students who NOT belief that such software unfairly targets students
estimated proportion of students who NOT belief that such software unfairly targets students
is the value that we want to check
represent the significance level
z would represent the statistic
represent the p value
System of hypothesis
We want to check if the majority of students at the university do not believe that it unfairly targets them, and the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
After replace we got:
The p value for this case is given by:
Since the p value is lower than the significance level we have enough evidence to conclude that the true proportion is significantly higher than 0.5 at 5% of significance.