There's an infinite amount of numbers that round to 8.21 when rounded to the nearest hundredth, for example:
8.211
8.209
8.214
8.21145683204
etc...
Just pick whichever two numbers you like :)
The answer is D.
The path to the airport is obviously a lot less than 150+160=310 right? The only answer that makes sense is D.
Answer:
- p(12 are truthful) ≈ 0.0687
- p(≥ 1 are not) ≈ 0.9313
Step-by-step explanation:
The probability the test says 1 is truthful is 0.8, so the probability that all 12 will be judged truthful is ...
0.8^12 ≈ 0.0687
The probability that at least one will be judged untruthful is the complement of this:
1 - 0.0687 = 0.9313
The probability that the lie detector says all 12 are truthful is about 0.0687.
The probability that lie detector says at least 1 is deceptive is about 0.9313.
Answer:
Tomatoes = 11.5
Onions = 2
Step-by-step explanation:
Andre wants to purchase some onions and tomatoes to make tomato soup. The recipe states that four times the number of tomatoes, , plus five times the number of onions, x, should produce 56 bowls of tomato soup. A different recipe states that two times the number of tomatoes used minus the number of onions used should produce 21 bowls of tomato soup. What is the resulting recipe for the number or tomatoes and onions used in the soup when Andre adds the two recipes together?
Let
Tomatoes = x
Onions = y
Recipe 1:
4x + 5y = 56
Recipe 2:
2x - y = 21
4x + 5y = 56 (1)
2x - y = 21 (2)
Multiply (2) by 5
4x + 5y = 56 (1)
10x - 5y = 105 (3)
Add
10x + 4x = 105 + 56
14x = 161
x = 161 / 14
= 11.5
Substitute x =11.5 into
2x - y = 21
2(11.5) - y = 21
23 - y = 21
-y = 21 - 23
-y = -2
y = 2
Tomatoes = 11.5
Onions = 2
Answer:
The at least sign is ≥. So, h ≥ -12