Answer:
The area is 6.25 times greater.
Step-by-step explanation:
Each side of the triangle of the dilated triangle will be 2.5 times the length of the original sides.
The area will increase to 2.5^2 = 6.25 times.
Answer:
The correct answer is 16w.
Step-by-step explanation:
w = 1w
1⋅w⋅16 =
1⋅1w⋅16 =
16w
Therefore, the correct answer is 16w.
Hope this helps! :D
Answer:
95% Confidence interval for the variance:
95% Confidence interval for the standard deviation:
Step-by-step explanation:
We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².
The sample, of size n=8, has a standard deviation of s=2.89 miles.
Then, the variance of the sample is
The confidence interval for the variance is:
The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:
Then, the confidence interval can be calculated as:
If we calculate the square root for each bound we will have the confidence interval for the standard deviation:
Answer:
Answer is A - (1, 3) and (2, 6)
Step-by-step explanation:
(1, 3) • 2
= (1 • 2, 3 • 2)
= (2, 6)
Ratio: 2/2, 6/2
Therefore, the answer is A.
Answer: D. Square
The cross section is shown as the shaded region. There are four sides to the shaded figure, so the cross section is a quadrilateral. This rules out choice C. We can also cross choice B off the list because cross sections of 3D figures are 2 dimensional.
Choice A is ruled out as well because we have both pairs of opposite sides that are parallel. The only thing left is choice D. This is true assuming we have a square prism. Any cube is a square prism that has its height equal to the width and length.