Answer:
60
Step-by-step explanation:
Bruce is 4 times as old as Indy
b = 4i
6 years ago, Bruce was 6 times as old as Indy
b - 6 = 6(i - 6)
b - 6 = 6i - 36
Substitute for b = 4i
4i - 6 = 6i - 36
Subtract 4i from both sides
-6 = 2i - 36
Add 36 to both sides
30 = 2i
Divide both sides by 2
15 = i
Since b = 4i
b = 4(15)
b = 60
Without a calculator, you can cross multiply
Yolanda won the race. By 1 yd.
Because every time she runs 10yd, Yoko runs 9 yards. So even if you give her an extra 10yd, she will run them faster than Yoko runs the 10 remaining yards.
Answer and Step-by-step explanation:
First of all lets define
X to be that the bags do contain large liquid amounts
+ to be that the test is not negative that is positive
From the question,
P(x) = 3/100 = 0.03
P(+|X) = 0.91
P(+|X′) = 0.05
Probability of bag having a positive test =p(+)
= P(+|X) (P(x)) + P(+|X′)(P(X′))
= P(X′)) = 1 – 0.03 = 0.97
Inserting these values into these formulas
0.91)(0,03) + (0.05)(0.97)
= 0.0273 + 0.0485
= 0.0758
The probability of the randomly selected bag having large liqid amount
= P(X|+) = (0.91*0.03)/(0.91*0.03)(0.05*0.97)
= 0.0273/0.0273+0.0485
= 0.0273/0.0758
= 0.3602
the probability that this bag does not have large liquid amount
= p(X'|+) = 1 - P(X|+)
= 1 - 0.3602
= 0.6398
Answer:
6 or -1.5
Step-by-step explanation:
We can let this integer be x.
Therefore, according to the question we have:
Subtracting 9x, we have a quadratic:
Plugging into the quadratic equation:
the square root of 81+144 is 15, so the answer is either 6 or -1.5