Answer:
Step-by-step explanation:
Each pair of vertically opposite angles are equal. If you mean vertical angles as in 90 degrees, you should qualify the question
Each pair of alternate interior angles is congruent (think it should be are congruent).
Each pair of corresponding angles is congruent
Answer:
probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3
Step-by-step explanation:
First of all;
Let B1 be the event that the card with two red sides is selected
Let B2 be the event that the
card with two black sides is selected
Let B3 be the event that the card with one red side and one black side is
selected
Let A be the event that the upper side of the selected card (when put down on the ground)
is red.
Now, from the question;
P(B3) = ⅓
P(A|B3) = ½
P(B1) = ⅓
P(A|B1) = 1
P(B2) = ⅓
P(A|B2)) = 0
(P(B3) = ⅓
P(A|B3) = ½
Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;
P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]
Thus;
P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]
P(B3|A) = (1/6)/(⅓ + 0 + 1/6)
P(B3|A) = (1/6)/(1/2)
P(B3|A) = 1/3
Answer:
The data provide sufficient evidence that older people are more likely to be victimized.
Step-by-step explanation:
H 0 : P = 0.10
H 1 : P > 0.10 (Right tailed test)
n = 527, P = 0.1235
The test statistics
x = P - p / 
x = 0.1235 - 0.10 / 
x = 0.0235 / 
x = 0.0235 / 
x = 0.0235 / 0.0130682049264618
x = 1.798257689731729
x = 1.798
P value = [1 - p(Z > 1.7980] (Right tailed test)
P value = 0.036089
The P - Value is very small, so <u>reject H0</u>
Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.
The radius is half of the diameter so if the diameter is 3 then the radius is 1.5. ANSWER:1.5 what I did was just divide 3by 2 to get half of 3.
