Answer:
The third side is sqrt(77)
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
2^2 + b^2 = 9^2
4+ b^2 = 81
Subtract 4 from each side
b^2 = 81-4
b^2=77
Take the square root of each side
sqrt(b^2) = sqrt(77)
b = sqrt(77)
The third side is sqrt(77)
Answer:
She sold 10 cups per hour
Step-by-step explanation:
To find the number per hour, divide the total sold by the total number of hours.
20 cups/2 hours = 10 per hour
Step-by-step explanation:
y = ⅓x − 2
y = -3x − 12
The first line has a y-intercept of -2 and a slope of ⅓.
The second line has a y-intercept of -12 and a slope of -3.
The graph looks like this: desmos.com/calculator/raouxrikbg
From the graph, we see they intersect at (-3, -3).
Answer:
The degrees of freedom are given by:
And the p value would be given by:
Step-by-step explanation:
Information given
represent the sample mean
represent the sample standard deviation
sample size
represent the value to verify
t would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is higher than 24.5, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
And the p value would be given by:
