Mathematics, 29.10.2021 04:10 ahorseman
A family of mother, father, older sister, older brother, younger brother, and younger sister will be randomly assigned seats A, B, C, D, E, and F, in a row for their flight to Chicago. Seat A is next to the window.
a. In how many different ways can the family be assigned seats?
The answer is
b. In how many different ways can the family be assigned seats if the older sister is
assigned Seat A next to the window?
The answer is
c. What is the probability that the older sister will be assigned Seat A?
The answer is
d. What is the probability that the older sister will not be assigned Seat A?
The answer is
Answers: 3
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(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100
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If m∠abc = 70°, what is m∠abd? justify your reasoning. using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°. using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°. using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality. using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.
Answers: 2
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