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WINSTONCH [101]
3 years ago
15

Find the equation of the line shown

Mathematics
1 answer:
OLEGan [10]3 years ago
6 0

Answer:

y=2x

Step-by-step explanation:

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A company manufactures tires at a cost of $40 each. The following are probabilities of defective tires in a given production run
asambeis [7]

Answer:

The expected cost of the company for a 3000 tires batch is $120255

Step-by-step explanation:

Recall that given a probability of defective tires p, we can model the number of defective tires as a binomial random variable. For 3000 tires, if we have a probability p of having a defective tire, the expected number of defective tires  is 3000p.

Let X be the number of defective tires. We can use the total expectation theorem, as follows: if there are A_1,\dots, A_n events that partition the whole sample space, and we have a random variable X over the sample space, then

E(X) = p(A_1)E(X|A_1) + \dots + p(A_n)E(X|A_n).

So, in this case, we have the following

E(X) = P(p=0\%)E(X|p=0\%)+P(p=1\%)E(X|p=1\%)+P(p=2\%)E(X|p=2\%)+P(p=3\%)E(X|p=3\%) = 0.1\cdot 3000\cdot 0 + 0.3\cdot 3000\cdot 0.01+ 0.4\cdot 3000\cdot 0.02+ 0.2\cdot 3000\cdot 0.03 = 51.

Let Y be the number non defective tires. then X+Y = 3000. So Y = 3000-X. Then E(Y) = 3000-E(X). Then, E(Y) = 2949.

Finally, note that the cost of the batch would be 40Y+45X. Then

E(40Y+45X) = 40E(Y)+45E(X) = 40\cdot 2949+45\cdot 51=120255

3 0
4 years ago
What is the answer to (3-4i)+(2+5i)?
Wewaii [24]

(3 + 2) + ( - 4i + 5i) \\ 5 + i
5 0
3 years ago
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Four friends share 3 sheets of construction paper equally.What fraction of a sheet of paper does each friend get?
leva [86]
1.3 is the answer :)
3 0
3 years ago
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What are the coordinates of the vertices of the triangle under the translation (x, y) --> (x + 3, y + 2)?
Afina-wow [57]
<span>The coordinates of the vertices of the triangle :
</span>(-1,1), (-4,1). <span>(-4, 4)

</span>the translation (x, y) --> (x + 3, y + 2), the new coordinates of the vertices of the triangle will be:<span>
(2, 3), </span>(-1, 3), <span>(-1, 6)  

Answer:
</span><span>D. (2, 3), (-1, 3), (-1, 6)</span>
7 0
3 years ago
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what pattern do you observe regarding the number of lines of reflection through a regular polygon that will map the polygon onto
valina [46]

Answer: the number of sides of a regular polygon is the same as the number of lines of reflection that can map the polygon into itself. The number of lines of symmetry is the same as the number of lines of reflection for mapping. (this is word for word so i suggest rewording)

Step-by-step explanation:

5 0
4 years ago
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