Answer:
Step-by-step explanation:
Let's write out a case for two specific questions being correct and the rest being incorrect:
,
The 
represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.
The 
represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.
The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.
We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter): 
.
Therefore, the probability the student gets two questions correct is:
Answer: 26 cm × 4 cm or
36 cm × 2.89 cm
Step-by-step explanation:
The diagram of the board is shown in the attached photo
Width of the rectangular board is given as 26 cm
The length of a rectangular board is 10 cm longer than its with. This means that
Length of rectangular board = 26 +10 = 36 cm.
Area of rectangular board = length × width. It becomes
36 × 26 = 936cm^2
The board is cut into 9 equal pieces. This means that the area of each piece would be the area of the board divided by 9. It becomes
936 /9 = 104cm^2
The dimensions of the piece would be
Since area of each piece is 104 cm^2 and the width of the bigger board still corresponds to one side of each piece, the other side of each piece will be 104 /26 = 4 cm
Also, the board could have been cut along the length such that one side of the cut piece corresponds to the length of the original board (36 cm)
and the other side becomes
104 /36 = 2.89 cm
The possible dimensions are
26 cm × 4 cm or
36 cm × 2.89 cm
Answer: c) All of the above
Step-by-step explanation:
a) X=the number of color-blind males of the randomly chosen 20 individuals
Thus, X is binomial with n = 20 and p = 0.08.
Y represents the number of color-blind females of the randomly chosen 40 individuals
Thus, Y is also binomial with n = 40 and p = 0.01.
b) However, Z represents the total number of color-blind which is 60. The probability of being color-blind is not equal among all individuals as it is for X (0.08) and Y (0.09). Thus, Z is not binomial.
In conclusion both a and b are correct, which gives the correct answer number c) all of the above.
Answer:
25.13274125 in³
Step-by-step explanation:
The radius = 4 ± 0.1
height = 10
Volume of a cylinder = πr²h
Actual volume of the cylinder = π × 4² × 10
= 502.6548246
Maximum volume = π × 4.1² × 10
= 528.1017251
Minimum volume = π × 3.9² × 10
= 477.8362426
Average error = (528.1017251 - 477.8362426)/2
= 50.2654825/2
= 25.13274125 in³
The units are inches cubed.
