Boat travel 27 miles in two hours how many miles travel in 1/2 hours
1 answer:
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Answer:
We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).
Step-by-step explanation:
Information given
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level
t would represent the statistic (variable of interest)
represent the p value for the test
Hypothesis to test
We want to conduct a hypothesis in order to check if the true mean has increased from 2008 , and the system of hypothesi are:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is:
(1)
Calculating the statistic
Replacing the info given we got:
P-value
The degrees of freedom are:
Since is a right tailed test the p value is:
Decision
We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).
Answer:
75 boys
Step-by-step explanation:
=
4x = 300
x = 75
Answer:
C
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given x² + y² + 4x - 10y + 20 = 0
Collect x and y terms and subtract 20 from both sides. that is
x² + 4x + y² - 10y = - 20
To obtain standard form use the method of completing the square
add ( half the coefficient of the x/y term )² to both sides
x² + 2(2)x + 4 + y² + 2(- 5)y + 25 = - 20 + 4 + 25
(x + 2)² + (y - 5)² = 9 ← in standard form
with centre = (- 2, 5) and r = = 3 → C