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Mathematics

1 answer:

antoniya [11.8K]3 years ago

8 0

Answer:

x = 9.367

Step-by-step explanation:

we have to use the sin formula so its

Sin = opp / hypotenuse

sin 42 = x / 14 Multiply 14 from both side

x = 14 sin 42

x = 9.367

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Chords AB and CD intersect at point E, AE = 10, EB = 4, and CE = 8. Therefore, ED =

Genrish500 [490]

So here is how we are going to find out what is ED.
Based on the given figure, it states that, AE is 10, and EB is 4 and CE is 8.
So, (AE/CE)=(ED/EB)
10/8 = ED/4 <<multiply both sides by the common denominator which is 8 and the result would be:
80/8 = 8ED/4
10 = 2ED <<divide both sides by 2 and we get
ED = 5.
Therefore, the measurement of ED is 5.
Hope this answer helps. Let me know if you need more help next time!

5 0

4 years ago

Read 2 more answers

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

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