Figure this out as though no digits are present. You can choose 8 of the 26 letters and that's it.
26^8 [you can allow repeating letters] = 2.088 * 10^11
The total number of ways that can be chosen with letters and digits intermixed = 36^8
The probability of getting no numbers is 26^8 / 36^8 or (26/36)^8 = 0.07402
So the probability that there were be at least one digit is
1 - 0.07402 = 0.92598
5. complementary = 80 degrees
supplementary = 170 degrees
6. complementary = 47.5 degrees
supplementary = 137.5 degrees
7. complementary = 10 degrees
supplementary = 100 degrees
8. false
9. true
10. true
11. true
12. false
13. true
14. false
Answer: x = 4,11
Step-by-step explanation:
x^2 - 7x - 34 - 10 = 0
x^2 - 7x - 44 = 0
Factorise it
x^2 - 11x - 4x - 44 = 0
x ( x - 11 ) - 4 ( x - 11 ) = 0
(x-4)(x-11) = 0
x = 4,11
Answer:
2nd option
Step-by-step explanation:
A difference of squares has the general form
a² - b²
where the terms on either side of the subtraction ( the difference ) are both perfect squares.
The only one fitting this description is
16a² - 4y²
= (4a)² - (2y)² ← difference of squares
