Answer:
P(A U B)= 0.08
Step-by-step explanation:
1.Let:
P(A) as the probability that a psiton has an under-fill defect
P(B) as the probability that a pistón has a porosity defect
P(A ∩ B) the probability of having both defectos
Then:
P(A)=0.05
P(B)=0.04
P(A ∩ B)=0.01
2. The probability that a randomly chosen piston has a defect could be calcularse as the union of the probability of choosing a piston with am under-fill defect and one with porosity defect.
That Is P(A U B)
Aplying the probability properties we have:
P(A U B)= P(A) + P(B) -P(A ∩ B)
Replacing the probabilities:
P(A U B)= 0.05+0.04-0.01
P(A U B)= 0.08
Answer:
Step-by-step explanation:
Answer:
3. It is likely.
Step-by-step explanation:
Let's assume the dartboards circles have radius of r, 2r, 3r and 4r from inner side
<u>Then the areas covered will be as:</u>
- point 20 = πr² = S
- point 15 = π(2r)² - πr² = 3πr² = 3S
- point 1 0 = π(3r)² - π(2r)² = 5πr² = 5S
- point 5 = π(4r)² - π(3r)² = 7πr² = 7S
Total area of the dartboard is S+3S+5S+7S = 16S
The area of point 5 is 7S. And the area of non- 5 point is 16S - 7S = 9S
The probability of scoring at least 10 points is:
As it is between 1/2 and 1, the probability is in 'likely' region
<u>So the correct answer choice is:</u> 3. It is likely
Answer:
I(7) = 22.96 W/m²
Step-by-step explanation:
Let intensity of light, be I(d) where d is distance. There must be a proportionality factor K such as
I(d) = K /d²
Now for d = 5 m I(d) = K* 1/d²
then 45 * 25 = K
K = 1125
To find the intensity when the distance from the light bulb is 7 m away
I(7) = K / 49
I(7) = 1125/49 W/m²
I(7) = 22.96 W/m²
Answer:
614656h²⁸k⁸
Step-by-step explanation:
Exponent Power Rule:
Step 1: Write expression
[4h⁷7k²]⁴
Step 2: Distribute power 4 to each term
4⁴h⁷⁽⁴⁾7⁴k²⁽⁴⁾
Step 3: Simplify
256h⁷⁽⁴⁾2401k²⁽⁴⁾
614656h⁷⁽⁴⁾k²⁽⁴⁾
Step 4: Use Exponent Rule
614656h²⁸k⁸