The table shows the results of a survey on the number of text messages per month for people of different ages. Based on this sur
vey, what is the probability that a person texts over 50 messages per month given that the person is between the ages of 23 and 60? A) 157/229 B) 157/312 C) 157/384 D) 157/456
2 answers:
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Answer:
a)
b)
c)
Step-by-step explanation:
a) Let <u>a</u>=<2,1,-3>
The magnitude of <u>a</u> is
The unit vector in the direction of a is
Using the relation , we have
b) Let a=2i - 3j + 4k
Using the relation , we have
c) Let us first find the sum of <1, 2, -3> and <2, 4, 1> to get:
<1+2, 2+4, -3+1>=<3, 6, -2>
Let a=<3, 6, -2>
The magnitude is
The unit vector in the direction of <u>a</u> is
Using the relation , we have