Answer:
Option D) The prisoner is actually guilty and the jury sets him free.
Step-by-step explanation:
We are given the following in the question:
Null Hypothesis:
The null hypothesis states that the prisoner is innocent
Alternate Hypothesis:
The alternate hypothesis states that the prisoner is guilty and not innocent.
Type II error:
It is the type error made when we fail to reject the ll hypothesis when it is actually false.
That is we accept a false null hypothesis.
Thus a type II error in the above scenario will be to accept that the prisoner is innocent (accepting the null hypothesis) when actually he is guilty( the alternate hypothesis)
Thus, type II error would be setting free a guilty prisoner.
Option D) The prisoner is actually guilty and the jury sets him free.
C = 2m^2 + m
D = 2 - 6m + 2m^2
2C = 2(2m^2 + m) = 4m^2+2m
2D = 2(2-6m+2m^2) = 4-12m+4m^2
2C - 2D =
4m^2+2m-(4-12m+4m^2) =
4m^2+2m-4+12m-4m^2 =
0m^2 + 14m -4 =
14m - 4
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Question 8:
Steps:
1. Find the area of the 2 triangles at both end.
2. Find the lateral surface area (that is, 3 rectangles)
3. Add them up.
Step 1:
Area of triangle = 1/2 x base x height
Area of 1 triangle = 1/2 x 4 x 5.7 = 11.4 m²
Area of 2 triangles = 11.4 x 2 = 22.8 m²
Step 2:
Area of the lateral surface area = perimeter of the triangle x height
Area of the lateral surface area = (4 + 7 + 5.7) x 8.6 = 143.62 m²
Step 3:
Total surface area = 22.8 + 143.62 = 166.4 m² (nearest tenth)
Answer: 166.4 m²
Question 9:
Steps:
1. Find the area of the square base.
2. Find the area of the 4 triangles.
3. Add them up.
Step 1:
Area of the square = 8 x 8 = 64 cm²
Step 2:
Area of 1 triangle = 1/2 x 8 x 15.3 = 61.2 cm²
Area of 4 triangles = 61.2 x 4 = 244.8 cm²
Step 3:
64 + 244.8 = 308.8 cm²
Answer: 308.8 cm²
Question 10:
Volume = Length x Width x Height
Volume = 1 1/2 x 2 1/2 x 8 = 30 ft³
Answer: 30 ft³
4.70 is not equivalent.
4.07 4.070 and 4.0700 are equivalent. You can add thousand zeros to 4.07 and its value does not change