Answer:
Step-by-step explanation:
Given
The bag contains 6 orange and 9 lime sweets
For both sweets of the same flavor, Jodi must either choose orange or lime
No. of ways it can be done is
The total no of ways of selecting two sweets out of 15 is
The probability that both sweets are the same flavor
Answer:
Part 1) The y-intercept is the point
Part 2) The x-intercepts are the points
Step-by-step explanation:
we have
This is a vertical parabola open upward
step 1
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0
The y-intercept is the point (0,-3)
step 2
Find the x-intercepts
we know that
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0
solve for x
Adds 3 both sides
take square root both sides
so
The x-intercepts are the points
Answer:
At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.
P-value = 0.003.
Step-by-step explanation:
If we perform a regression analysis relating x and y, we get the best fitting line with equation:
and a correlation coefficient r:
We have to test the hypothesis, where the alternative hypothesis claims that there is a relationship between these two variables, and the null hypothesis claiming there is no relationship (meaning that the correlation is not significantly different from 0).
This can be written as:
where ρ is the population correlation coefficient for x and y.
The significance level is assumed to be 0.05.
The sample size is n=16.
The degrees of freedom are df=14.
The test statistic can be calculated as:
For a test statistic t=2.05 and 14 degrees of freedom, the P-value is calculated as:
The P-value (0.003) is smaller than the significance level (0.05), so the effect is significant enough.
The null hypothesis is rejected.
At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.