Which show’s Cassandra number is rounded to the nearest tenth 2.7, 2.6, 2.65, 2.0 ?
2 answers:
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Answer:
See explanation below.
Step-by-step explanation:
We assume that the data is given by :
x: 30, 30, 30, 50, 50, 50, 70,70, 70,90,90,90
y: 38, 43, 29, 32, 26, 33, 19, 27, 23, 14, 19, 21.
Where X represent the cost for scholarships in thousands of dollars and y represent the cost of life for an academic semester (The data comes from the web)
We can find the least-squares line appropriate for this data.
For this case we need to calculate the slope with the following formula:
Where:
So we can find the sums like this:
With these we can find the sums:
And the slope would be:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
We have an inverse linear relationship since the slope is negative between the variables of interest.
Answer:
a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.
b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.
Step-by-step explanation:
a) To approximate this distribution we have to calculate the mean and the standard distribution.
The mean is the proportion p=0.85.
The standard deviation can be calculates as:
To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:
The probability for this value of z is
The probability that Jodi scores 78% or lower on a 100-question test is 4%.
b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:
To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:
The probability for this value of z is
The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.