Answer:
A) Null Hypothesis;H0: μ = 5
Alternative Hypothesis;Ha: μ ≠ 5
B) test statistic = -2.1226
C) p-value = 0.0598
D) Option A is correct
Step-by-step explanation:
We are given;
x = 4.52 minutes
s = 0.75 minutes
μ = 5 minutes
n = 11
degree of freedom = n - 1 = 11 - 1 = 10
A) The hypotheses are;
Null Hypothesis;H0: μ = 5
Alternative Hypothesis;Ha: μ ≠ 5
B) t-statistic = (x - μ)/(s/√n)
(4.52 - 5)/(0.75/√11) = -2.1226
C) From the t-score calculator results attached, the p-value is approximately 0.0598.
D) The P-value of 0.0598 is is greater than the significance level of 0.01, thus we fail to reject the null hypothesis, and we say that the result is statistically nonsignificant. So option A is correct.
Answer:
24p - 35
Step-by-step explanation:
Step 1: Distribute.
Step 2: Combine like terms.
Therefore, the answer is 24p - 35! I hope this helped you.
How did you get to put a picture
In the equation for surface area the radius is squared ( r^2)
If the radius is doubled, the radius would be 2^2 more which equals 4
The surface area would be 4 times the old surface area.
9514 1404 393
Answer:
(c) No, it is not a rectangle because the diagonals are not congruent
Step-by-step explanation:
The diagonals of a rectangle bisect each other and are the same length. The lengths of the diagonals of this figure are ...
AC = √((8-0)² +(6-2)²) = √(64+16) = 4√5
BD = √((5-3)² +(2-6)²) = √(4 +16) = 2√5
The diagonals are different lengths, so the parallelogram is not a rectangle. This is described correctly in choice C:
No, it is not a rectangle because the diagonals are not congruent.
_____
The lengths are found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
