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Leokris [45]
3 years ago
6

How many sequences of length 5 can be made when each component of the sequence can take 3 different values?

Mathematics
1 answer:
kozerog [31]3 years ago
4 0
Each position in the sequence has 3 choices, and there are 5 positions, so we multiply 3 by itself 5 times:

3^5=243
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The point A,B,C and D represent the complex number Z1,Z2,Z3 and Z4 and O is the origin. If OABC is a parallelogram, and Z1=1+3i
aleksley [76]

Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is 5+ 8i

Given that:

Z_1 = 1 + 3i

Z_2 = 4 + 5i

Since O is the origin, then:

C = OA + OB

This means that:

Z_3 = Z_1 + Z_2

So, we have:

Z_3 = 1 + 3i + 4 + 5i

Collect like terms

Z_3 = 1 + 4+ 3i  + 5i

Z_3 = 5+ 8i

Hence, complex number Z3 is 5+ 8i

Read more about complex numbers at:

brainly.com/question/18509723

8 0
3 years ago
An opera house has a seating capacity of 872 people with each ticket costing 50 Rupees .If the opera house is running for 15 day
Nataly_w [17]

Answer:

654000 Rupees

Step-by-step explanation:

If we assume that the opera house was full every day then it would be 872 x 50 for the price of 1 day

872 x 50 = 43600

We multiple that number by the amount of days open so is would be 43600 x 15

43600 x 15 = 654000

Therefore it will make 654000 Rupees

7 0
3 years ago
Ana drew a map of the Panama Canal in the scale Ana used for the map 4 centimeters represents 20 kilometers what is the scale fa
Ganezh [65]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
A particular fruit's weights are normally distributed, with a mean of 618 grams and a standard deviation of 24 grams. If you pic
Lorico [155]
Answer: The probability is 0.5136.

To find this probability we have to find the range of the values on the normal distribution table.

First, we need to find the percent for each making z-score.

Lower end: 50/24 = 2.08 = 0.0183

Upper end: 2/24 = 0.08 = 0.5319

Now, that we have the upper and lower ends, we can subtract them to find the difference or the range.  

0.5319 - 0.0183 = 0.5136

There is a 51.36% chance they are in the given range.
3 0
3 years ago
Solve the equation 3/4x+3-2x = -1/4+1/2x+5
elena55 [62]
Hi there! The answer is x = -1

Let's solve this equation step by step!
\frac{3}{4} x + 3 - 2x = - \frac{1}{4} + \frac{1}{2} x + 5

First collect terms.
- 1 \frac{1}{4} x + 3 = \frac{1}{2} x + 4 \frac{3}{4}

Subtract (1/2)x from both sides.
- 1\frac{3}{4} x + 3 = 4 \frac{3}{4}

Subtract 3 from both sides.
- 1\frac{3}{4} x = 1 \frac{3}{4}

And finally divide by -1 3/4
x = \frac{7}{4} \div - \frac{7}{4} = \frac{7}{4} \times - \frac{4}{7} = - \frac{28}{28} = - 1
8 0
4 years ago
Read 2 more answers
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