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
The answer is 1/8 decimal form 0.125
The probability that a person wins the game is 32.1%
<h3>How to illustrate the probability?</h3>
Based on the information given, the following can be depicted. It should be noted that there are 6 sides as well as 4 cards.
Therefore, the numbers on the dice i.e from 1 - 6 will be represented 4 times each. This gives a total of (4 × 6) = 24. There are also 4 cards. The total in sample space will now be:
= 24 + 4 = 28
The frequency table will be such that 28 or more have a relative frequency of 9. Therefore, the probability that a person wins the game will be:
= 9/28 = 32.1%
When you win 25% of the time, this illustrates that the number of products picked will be:
= 25% × 28
= 7 products.
The probability of participants achieving a winning score of 36 or higher in four consecutive attempts will be:
= 1/6⁴ = 1/1296
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
Step-by-step explanation:
Direction: Opens Up
Vertex:
(
3
,
−
3
)
(3,-3)
Focus:
(
3
,
−
11
4
)
(3,-114)
Axis of Symmetry:
x
=
3
x=3
Directrix:
y
=
−
13
4
y=-134
Select a few
x
x values, and plug them into the equation to find the corresponding
y
y values. The
x
x values should be selected around the vertex.
Tap for more steps...
x
y
1
1
2
−
2
3
−
3
4
−
2
5
1
xy112-23-34-251
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
3
,
−
3
)
(3,-3)
Focus:
(
3
,
−
11
4
)
(3,-114)
Axis of Symmetry:
x
=
3
x=3
Directrix:
y
=
−
13
4
y=-134
x
y
1
1
2
−
2
3
−
3
4
−
2
5
1
Answer:
slope = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 10 ← is in slope- intercept form
with slope m = 1
