Answer:
Probability that component 4 works given that the system is functioning = 0.434 .
Step-by-step explanation:
We are given that a parallel system functions whenever at least one of its components works.
There are parallel system of 5 components and each component works independently with probability 0.4 .
Let <em>A = Probability of component 4 working properly, P(A) = 0.4 .</em>
<em>Also let S = Probability that system is functioning for whole 5 components, P(S)</em>
Now, the conditional probability that component 4 works given that the system is functioning is given by P(A/S) ;
P(A/S) = {Means P(component 4 working and system also working)
divided by P(system is functioning)}
P(A/S) = {In numerator it is P(component 4 working) and in
denominator it is P(system working) = 1 - P(system is not working)}
Since we know that P(system not working) means that none of the components is working in system and it is given with the probability of 0.6 and since there are total of 5 components so P(system working) = 1 - 
.
Hence, P(A/S) = 
= 0.434.
Answer:
x> 5/4
Step-by-step explanation:
9<4(x+9)−7−25
Step 1: Simplify both sides of the inequality.
9<4x+4
Step 2: Flip the equation.
4x+4>9
Step 3: Subtract 4 from both sides.
4x+4−4>9−4
4x>5
Step 4: Divide both sides by 4.
4x/4>5/4
x>5/4
pls give brainliest
Answer:
#1: 5
#2: 
Step-by-step explanation:
Inverse of Pythagorean Theorem: c²-b²=a²
c² b² a²
13²- 12² = 25
= 5
Pythagorean Theorem: a²+b²=c²
a² b² c²
2² + 6² = 40
c =
The product is negative 81 t squared + 16 ⇒ 2nd answer
Step-by-step explanation:
The product of two binomials (ax + b)(cx + d), where a, b, c, and d are constant
- Multiply (ax) by (cx) ⇒ 1st × 1st
- Multiply (ax) by (d) and (b) by (cx) ⇒ ext-reams and nears
- Add the two products ⇒ like terms
- Multiply (b) by (d) ⇒ 2nd × 2nd
Let us find the product of (9 t - 4) and (-9 t - 4)
Multiply the 1st two terms
∵ (9 t)(-9 t) = -81 t²
Multiply the ext-reams
∵ (9 t)(-4) = -36 t
Multiply the nears
∵ (-4)(-9 t) = 36 t
Add the like terms
∵ -36 t + 36 t = 0
Multiply the 2nd two terms
∵ (-4)(-4) = 16
Write the answer
∴ (9 t - 4)(-9 t - 4) = -81 t² + 0 + 16
∴ (9 t - 4)(-9 t - 4) = -81 t² + 16
The product is -81 t² + 16
Learn more:
You can learn more about the product of algebraic expressions in brainly.com/question/1617787
#LearnwithBrainly
Answer:
3.since two base side are equal
4.sum of interior angle of the triangle is 180
9.base angle of isosceles triangle
16.the inscribed angle from the diameter is 90°
21.being CAE=90°
Step-by-step explanation:
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