1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DaniilM [7]
3 years ago
7

A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must

function. Two of the parts have a .96 probability of functioning, and two have a probability of .99. What is the overall probability that the product will function properly
Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

Answer:

P(working product) = .99*.99*.96*.96 = .0.903

Step-by-step explanation:

For the product to work, all four probabilities must come to pass, so that

P(Part-1)*P(Part-2)*P(Part-3)*P(Part-4)

where

P(Part-1) = 0.96

P(Part-2) = 0.96

P(Part-3) = 0.99

P(Part-4) = 0.99

As all parts are independent, so the formula is P(A∩B) = P(A)*P(B)

P (Working Product) =  P(Part-1)*P(Part-2)*P(Part-3)*P(Part-4)

P (Working Product) = 0.96*0.96*0.96*0.99*0.99

P(Working Product) = 0.903

You might be interested in
What are the degree and leading coefficient of the polynomial? <br><br> - 2u + 12u ^ 2 + 8 - u ^ 9
USPshnik [31]

Answer:

Step-by-step explanation:

hello :

- 2u + 12u ² + 8 - u ^ 9 = -1u ^ 9+12u² -2u+8...standard form

the degree is 9 and leading coefficient is -1

7 0
3 years ago
G(x)=4x-7 find g(-9)
FinnZ [79.3K]

Answer:

-43

hope it helps

8 0
3 years ago
Read 2 more answers
Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle
mario62 [17]

The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ XYZ

∵ ∠ YXZ is a right angle

∴ The hypotenuse is YZ

∵ The adjacent side to ∠XYZ is XY

∵ The opposite side to ∠XYZ is XZ

∵ YX = 12 units

∵ XZ = 10 units

- Use tan ratio to find the measure of the angle because you

   have the adjacent and opposite sides of the angle XYZ

∵ m∠XYZ is x

∵ tan(x)=\frac{XZ}{XY}

∴ tan(x)=\frac{10}{12}

- To find x use the inverse of tan(x)

∵ x=tan^{-1}(\frac{10}{12})

∴ x = 39.8°

∴ m∠XYZ = 39.81°

The best approximation for the measure of angle XYZ is 39.8°

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
State whether f is a function
Alenkinab [10]
<h2>Answer:</h2>

y=\pm (\frac{x}{6})^{\frac{1}{4}} \ is \ not \ a \ function

<h2>Step by step solution:</h2>

A function f from a set A to a set B is a relation that assigns to each element x in the set A exactly one element y in the set B. The set A is the domain (also called the set of inputs) of the function and the set B contains the range (also called the set of outputs). On the other hand, a function has an inverse function if and only if passes the Horizontal Line Test for Inverse Functions. This test tells us that a function f has an inverse function if and only if there is no any horizontal line that intersects the graph of f at more than one point. So the function is called one-to-one. The graph of f is shown below. As you can see, this function does not pass the Horizontal Line Test, therefore the inverse is not a function. However, let's find f^-{1}(x):

f(x)=6x^4 \\ \\ Substitute \ f(x) \ by \ y \\ \\ y=6x^4 \\ \\ Interchange \ x \ and \ y: \\ \\ x=6y^4 \\ \\ Solve \ for \ y: \\ \\ y^4=\frac{x}{6} \\ \\ Solving \\ \\y=\pm \sqrt[4]{\frac{x}{6}} \\ \\ \boxed{y=\pm \left(\frac{x}{6}\right)^{\frac{1}{4}}}

and this is not a function because there are elements in the set of inputs that match with two elements in the set of outputs.

5 0
3 years ago
Read 2 more answers
Butter and flour are mixed in the ratio 2 : 3.Chris has 640 grams of butter and 880 grams of flour.How much more flour does he n
VMariaS [17]

he need 1000 grams of all

3 0
3 years ago
Other questions:
  • What weight is equivalent to 40 ounces
    9·1 answer
  • 7.849 million in number form
    8·1 answer
  • With the sun at an angle of 30 degrees to the ground, a tree casts an 80 ft shadow. how tall is the tree?
    8·1 answer
  • 0.0098 to 3 decimal places
    7·1 answer
  • $ ANSWER THIS AND I WILL MAKE A QUESTION FOR FREE POINTS FOR YOU $
    10·2 answers
  • In a mixed school of 732 pupils 132 are girls. What is the fraction of the pupils who are boys​
    12·2 answers
  • Twice a number is decreased by 20 is 50. What is the number?
    11·1 answer
  • Give the function f(x)= 0.5lx - 4| -3, for what values of x is f(x) = 7
    8·1 answer
  • Please help!!!<br><br><br>find the measure of the largest interior angle of this polygon ​
    15·1 answer
  • What would y be for month 1, x
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!