Answer:
1 5/12
Step-by-step explanation:
find the common factor of the denominators (3 and 4) which is 12 then just multiply the 2 in 2/3 by 3 since 12 is the third common factor for 3 and you do the same thing with 3/4, multiply the 3 by 3. then you add 8/12 + 9/12 to get 17/12 then 17 goes into 12 once plus 5 left over so as a mixed number its 1 5/12
<span>2(3 - x) = -16
3 - x = -16/2
3 - x = -8
-x = -8 - 3
-x = - 11
x = 11</span>
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.
Let x = ribeye steak cost, y = grilled salmon cost. With this we set up two equations:
17x + 16y = 571.16
21x + 8y = 583.22
We must now pick which dinner we could like to find the cost of first. I choose the ribeyes. To do so, I'm going to divide the first equation by - 2. I will explain why:
- 8.5x - 8y = - 285.58
21x + 8y = 571.16
Now we combine like terms. Notice that the y-variables cancel each other out. This why I divided by - 2. It causes this cancellation leaving us with only one variable to solve. This gives us:
12.5x = 297.64
Divide both sides by 12.5 to isolate variable x.
x = 23.8112 or x ≈ 23.81. I round two decimal points since we're dealing with money.
Now, we plug this cost into either of the two equations and solve for variable y. I'll use the first one.
17(23.81) + 16y = 571.16
404.77 + 16y = 571.16
Subtract 404.77 from both sides to isolate the variable and its coefficient.
16y = 166.37
Divide by 16 on both sides to get rid of the coefficient
y ≈ 10.3993 or y ≈ 10.40 since we're dealing with money.
Cost of ribeye steak -- $23.81
Cost of grilled salmon -- $10.40
I think its D
so there is 530 boys and 180 bicycles
only 30 girls had bicycles
so 530 + 30= 560/1000
not sure