A line's slope is 3, and it's y-intercept is 2. What is its equation in slope-intercept form?
1 answer:
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Answer:
The 90% confidence interval for the mean test score is between 77.29 and 85.71.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.064
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 81.5 - 4.21 = 77.29
The upper end of the interval is the sample mean added to M. So it is 81.5 + 4.21 = 85.71.
The 90% confidence interval for the mean test score is between 77.29 and 85.71.
Answer:
The volume of the new crate is exactly 174.4% of the old crate.
Step-by-step explanation:
Volume of a rectangular prism:
The volume of a rectangular prism of dimensions x, y and z is given by:
She decided that the dimensions of the new crate needs to be increased by 40% of the original length.
Each dimension is increased by 40%, which means that each is multiplied by 1 + 0.4 = 1.4. So
Percentage:
The new volume is 2.744 the original volume. Considering the original volume is 100% = 1, it increased by 2.744 - 1 = 1.744 = 1.744*100% = 174.4%.
The volume of the new crate is exactly 174.4% of the old crate.