Answer:
√36 = 6
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
72 = c^2
√72 = c
2 36
2 18
2 9
3 3
6√2 = c
6√2 = (estimate rounded up, 8.49)
We can use the binomial theorem to find the probability that 0 out of the 15 samples will be defective, given that 20% are defective.
P(0/15) = (15C0) (0.2)^0 (1 - 0.2)^15 = (1)(1)(0.8)^15 = 0.0352
Then the probability that at least 1 is defective is equal to 1 - 0.0352 = 0.9648. This means there is a 96.48% chance that at least 1 of the 15 samples will be found defective. This is probably sufficient, though it depends on her significance level. If the usual 95% is used, then this is enough.
11. 6:18 = 1:3
12. 12:48 = 1:4
13. 17:34 = 1:2
14. 8:64 = 1:8
15. 44:4 = 11:1
16. 121:11 = 11:1
17. 12:2 = 6:1
18. 4:2 = 2:1
19. 3:4 and 2:3 = 9:12 and 8:12
20. 1:6 and 3:14 = 7:42 and 9:42
21. 2:7 and 3:5 = 10:35 and 21:35
22. 5:2 and 3:1 = 5:2 and 6:2
Comparing Ratios:
1. 1.7 m = 170 cm
20:170 = 2:17
2. 160:8 = 20:1
3. 15:50 = 3:10
4. For every cup of milk she needs 5 cups of flour, so if she uses 3 cups of milk she'd need 15 cups of flour
Hopefully that helps :)
<span>1/3 is equivalent to a decimal that does not terminate.
A terminating decimal is one that ends. Some decimals never end, however. If you divide 1 by 3 using the standard algorithm, you will get 0.333333... repeating forever. This is a non-terminating decimal, or repeating decimal.
In contrast, 1/4 is equal to 0.25, which is a terminal decimal.</span>
