Answer : p(only z)=0.40 and p(only u)=0.08
Explanation :
We have given that ,
p(u)=0.22,
p(z∪u)=0.62,
p(z)=0.54
By using probability rule of union of 2 events, we have,
p(z)+p(u)-p(z∩u)=p(z∪u)
⇒0.54+0.22-p(z∩u)=0.62
⇒0.76-p(z∩u)=0.62
⇒(-)p(z∩u)=0.62-0.76
⇒(-)p(z∩u)= (-)0.14
⇒p(z∩u)=0.14
Now,
p(only z)=p(z)-p(z∩u)
=0.54-0.14
=0.40
and,
p(only u)=p(u)-p(z∩u)
=0.22-0.14
=0.08
∴ Each probability will be
p(only z)=0.40
p(only u)=0.08
Answer: D
Step-by-step explanation:
It seems there is two ways to solve this, remember that this is just one of them.
The triangle to the left is an isosceles triangle by definition. It is given that two of its sides are equal.
The angles opposite the equal sides in an isosceles triangle are congruent. It is given that one of these angles is 70 degrees, so the other one must be 70 degrees as well.
This angle is opposite to Angle Y. Vertical angles are congruent, so Angle Y must be 70 degrees.
D is the answer.
The LCD of 3 and 4 is 12. To make 4 into 12, we multiply it by three, so 3 would also have to be multiply by 3, turning 3/4 into 9/12.
The same thing applies to 1/3, only it needs to be multiplied by 4. So it would become 4/12
9/12 - 4/12 = 5/12
Answer:
Probability = 0.12025
Step-by-step explanation:
P (Am) = 1/50 = 0.02 {Magazine ad}
P (At) = 1/8 = 0.125 {Television ad}
P (Am ∩ At ) = 1/100 = 0.01 {Both ads}
P (Am U At) = P (Am) + P (At) - P (Am ∩ At )
= 0.02 + 0.125 - 0.01
P (Am U At) = 0.135 {Person sees either ad}
P (Am' ∩ At') = 1 - P (Am U At)
P (Am' ∩ At') = 1 - 0.135 = 0.865 {Person sees none ad}
Prob (Purchase) = Prob (Purchase with ad) + Prob (purchase without ad)
P (P/ A) = 1/4 = 0.25 , P (P / A') = 1/10 = 0.1
P (P) = (0.25) (0.135) + (0.1) (0.865)
= 0.03375 + 0.0865
0.12025
<span>A healthy human body is approximately 18% carbon, so to determine how many pounds of carbon a 200lb body contains, compute 200lbs X 0.18 = 36 pounds. To convert 36lbs to kilograms, multiply by the conversion factor 0.454. Therefore, 36lbs X 0.454 = 16.344 kg.</span>
