Twenty-seven minus 3/2of a number (x) is not more than 36.
27 - (3/2)X = 36
What is the number?
(3/2)X = 27 - 36 = - 9
X = (- 9x2)/3 = -18/3 = -6
Check
36 = 27 - (3/2)X = 27 - (3/2)x(-6) = 27 - (-18/2) = 27 - (-9) = 36
Answer:
The sum of three consecutive integers for 198 are <em>65, 66, and 67</em>
Definition of "INTEGERS"
1. a whole number; a number that is not a fraction.
2. a thing complete in itself.
Step-by-step explanation:
198 = x + x + 1 + <em>x + 2</em>
combine like numbers
198 = 3x + 3
subtract 3 from like numbers (in this case)
198 - 3 = 3x + 3 - 3
195 = 3x
divide by 3
195/3 = 3x/3
65 = x
x + 1 = 65 + 1 ---66
x + 2 = 65 +2 --67
1. a b c
2. a b c
3. a b c
4. a b c
5. a b c
then she eliminated 1 choice in 1 and 2, say as follows
1. b c
2. a b
3. a b c
4. a b c
5. a b c
Probability of answering correctly the first 2, and at least 2 or the remaining 3 is
P(answering 1,2 and exactly 2 of 3.4.or 5.)+P(answering 1,2 and also 3,4,5 )
P(answering 1,2 and exactly 2 of 3.4.or 5.)=
P(1,2,3,4 correct, 5 wrong)+P(1,2,3,5 correct, 4 wrong)+P(1,2,4,5 correct, 3 wrong)
also P(1,2,3,4 c, 5w)=P(1,2,3,5 c 4w)=P(1,2,4,5 c 3w )
so
P(answering 1,2 and exactly 2 of 3.4.or 5.)=3*P(1,2,3,4)=3*1/2*1/2*1/3*1/3*2/3=1/4*2/9=2/36=1/18
note: P(1 correct)=1/2
P(2 correct)=1/2
P(3 correct)=1/3
P(4 correct)=1/3
P(5 wrong) = 2/3
P(answering 1,2 and also 3,4,5 )=1/2*1/2*1/3*1/3*1/3=1/108
Ans: P= 1/18+1/108=(6+1)/108=7/108
Answer:
Step-by-step explanation:
what?
tan(x) = 10/60
tan(x) = 1/6
tan(x) = a -> x = arctan(a) + πn
x = arctan(1/6) + πn
x = 0.165 + πn
Best of Luck!
