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Lerok [7]
4 years ago
9

Multiply the following complex numbers: (7+2i)(2+3i) Please don’t guess

Mathematics
2 answers:
vivado [14]4 years ago
7 0
14+ 25|+ 6|^2 is the correct answer
UkoKoshka [18]4 years ago
4 0

Answer:

14 + 25l + 6l^2

Step-by-step explanation:

(7 + 2i) (2 + 3i)

=> 14 + 4l + 21l + 6l^2

=> 14 + 25l + 6l^2

This is the correct answer

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A certain brand of refrigerator has a useful life that is normally distributed with mean 10 years and standard deviation 3 years
juin [17]

Answer: 0.55567

Step-by-step explanation:

Given : A certain brand of refrigerator has a useful life that is normally distributed with mean 10 years and standard deviation 3 years. The useful lives of these refrigerators are independent.

i.e.

\mu=10\text{ years}\\\sigma=3\text{ years}

Let X_1 and X_2 are two randomly selected refrigerator's life whose sum will exceed third selected refrigerator X_3 .

So that, X =X_1+X_2-1.9\times X_3

Mean =E(X_1)+E(X_2)-E(X_3)=10+10-1.9\times10 =1

Standard deviation =\sqrt{(Var(X_1)+Var(X_1)+Var(X_1))}

=\sqrt{(3^2+3^2+(1.9\times3)^2)}

=7.1056315694

Z-score : z=\dfrac{X-E[x]}{\sqrt{Var[x]}}=\dfrac{0-1}{7.0156315694}\approx-0.14

Now , The  probability that the total useful life of two(i..e n=2) randomly selected refrigerators will exceed 1.9 times the useful life of a third randomly selected refrigerator would be :-

P(Z>-0.14)=P(Z

Hence, the required probability is 0.55567.

3 0
3 years ago
Determine the value of x.
Lunna [17]

Answer:

1/2 of 81 is the answer

Step-by-step explanation:

3 0
3 years ago
What is the relationship between the radius of a circle and its diameter?
vesna_86 [32]

Answer:

B

Step-by-step explanation:

Diameter is across a circle or a circular object. The Radius is half of the diameter. For example if the diamter was 6, the radius would be 3. You can always find radius by dividing the diameter by 2.

5 0
3 years ago
I need the answer ( :
sergey [27]

Answer:(3 * h^12 *k^2)/2

Step-by-step explanation:First distribute the exponent 6 to the terms inside, so you get 3h^12 *k^6/2k^4 ,then divide k^6 by k^4 to get k^2 on top.

6 0
3 years ago
One is the additive identity. True or False
ivanzaharov [21]

Answer: false

Additive identity - the number 0; when added to any number, the value of the number does not change

( one is multiplicative identity )

3 0
3 years ago
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