Answer:
Step-by-step explanation
2. you gave that there is a 40% chance that her instructor will be watching, which means that there is a 60% chance he will not be watching (100% - 40%).
3. you gave that there is a 90% chance of making a bull's eye, and 40% chance the instructor will be watching
since those two events are independent of each other, the chance of both of them happening is the product of the two chances, namely 0.9 x 0.4 = 0.36, or 36%
12. (x-√3)(x+1) = x² + (1-√3)x - √3
13. (x+2)(x²+4) = x³ + 2x² + 4x + 8
14. (3x³ + 6x² - 5x + 12) ÷ (x-3)
= [(x - 3)(3x² + 15x + 40) + 132 ] ÷ (x-3)
Quotient = 3x² + 15x + 40
Remainder = 132
Answer:
the blue line is at the 7 and the blue line is at -1
Answer: 3/8
Step-by-step explanation:
Since it is a fair coin, then generally, P(Head) = P(Tail) = ½
And since we've been asked to find the probability that the number of heads in the first two tosses be equal to the number of heads in the second two tosses, tossing a fair coin four times, the possible outcomes of having equal number of heads in first two tosses and second two tosses becomes:
[HHHH] or [HTHT] or [THTH] or [TTTT] or [HTTH] or [THHT]
=[½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½]
=1/16 * 6
=6/16
=3/8.
Answer:
The terms are - 1, 7 and 15.
Step-by-step explanation:
Let the terms be a-d, a and a+d
ATQ, a-d+a+a+d=21, a=7. a+d-(a+(a-d))=9. d=8. The terms are - 1, 7 and 15.