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AveGali [126]
3 years ago
15

A manufacturing plant producing electric motors has two production lines. In a typical day, 85% of the motors are produced in la

ne I, 15% in lane II. Past quality control study shows the probability that a randomly selected motors be defective is 12% if produced by line I, and 4% if produced by line II. A randomly selected motor from this manufacturing plant is tested for possible defect. Find the probability that the selected motor is produced by line 1 if the test shows that the selected engine is defective.
Mathematics
1 answer:
klemol [59]3 years ago
8 0

Answer:

Step-by-step explanation:

25+4=56

33+45=75

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HELP ASAP PLS ILL GIVE BRANLIEST GEOMETRY
Anit [1.1K]

Answer:

subject?

Step-by-step explanation:

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3 years ago
Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1
kari74 [83]

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

<u>Background of the Discriminant</u>

The discriminant b^2-4ac applies to quadratic equations when they are organised in standard form: ax^2+bx+c=0.

All quadratic equations can be solved with the quadratic formula: x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}.

When b^2-4ac is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

<u>Solving the Problem</u>

<u />3x^2+5x=-1<u />

We're given the above equation. It hasn't been organised completely in ax^2+bx+c=0, but we can change that by adding 1 to both sides to make the right side equal to 0:

3x^2+5x+1=0<u />

Now that we can identify the values of a, b and c, we can plug them into the discriminant:

D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13

Therefore, because the discriminant is positive, the equation has two real, distinct solutions.

I hope this helps!

4 0
3 years ago
a tree casts a shadow 8 feet long. A 6-foot Man cast a shadow 4 feet long. The triangle formed by the tree and its shadow is sim
Elden [556K]

Answer:

12 feet

Step-by-step explanation:

Draw a diagram (see picture below). The tree and its shadow is one triangle, the man and its shadow is another triangle. We assume both are right triangles because people and trees stand vertical.

Create a proportion to solve. Put the missing value in a numerator.

Tree height / Tree shadow = Man height / Man shadow

\frac{x}{8} =\frac{6}{4}

Solve using cross multiplication. Multiply x by 4. Multiply 6 by 8.

4x = 48    Divide both sides by 4 to isolate x.

x = 12       Height of tree

The tree is 12 feet tall.

4 0
3 years ago
I need help with this.....​
Hatshy [7]

Answer:

55 degrees

Step-by-step explanation:

4 0
3 years ago
8x^3+35x^2-31x-9/x+5​
BigorU [14]

Answer:

\frac{8x^{4}+35x^{3}-31x^{2}+5x-9}{x}

Step-by-step explanation:

6 0
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