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2 years ago

Simplify (1+2i)(5-3i)

Mathematics

1 answer:

Vesna [10]2 years ago

8 0

Answer: 11+7i

Step-by-step explanation: Multiply using the PIL mthod, then combine the real imaginary parts of the expression.

Hope this helps you out! ☺

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Two life insurance policies, each with a death benefit of 10,000 and a one-time premium of 500, are sold to a couple, one for ea

Kazeer [188]

Answer:896.9

Step-by-step explanation:

Let x denotes excess premium over claims

$E\left ( x|husband survives\right )$ , There are two possibilities

(i)Only husband survives

This can be possible with a possibility of 0.01

Claims=10,000

Premium collected $=2\times 500=1000$

Thus x=1000-10,000=-9000

(ii)Both husband and wife survives

This can occur with a probability of 0.96

Here claims will be 0 as both survives

Premium taken=1000

thus x=1000

The probability that the husband survives is the sum of above cases

=0.96+0.01=0.97

Hence the desired conditional Expectation $E\left ( x|Husband survives\right ) =0.01\times \left ( -9000\right )+0.96\times \left ( 1000\right )=896.9$

7 0

3 years ago

Please Help, I can't figure out this problem

Otrada [13]

Answer:

<h2>The answer is 5 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (9,-7) and (5, -4)

The distance between them is

$d = \sqrt{ ({9 - 5})^{2} + ({ - 7 + 4})^{2} } \\ = \sqrt{ {4}^{2} + ({ - 3})^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25}$

We have the final answer as

<h3>5 units</h3>

Hope this helps you

3 0

3 years ago

Lane is making accessories for the soccer team. He uses 759.46 inches of fabric on headbands for 44 players and 2 coaches. He al

madam [21]

Answer:

Fabric used by each each player for headband is 16.51 inches and fabric used for wristband is 1.99 inches

Step-by-step explanation:

In first case it is given that there are players and 2 coaches

So total number = 44+2 = 46

It is given that 759.46 inches of fabric is used on headbands for 44 players and 2 coaches

So fabric used by each player $=\frac{759.46}{46}=16.51inches$

Now in second 87.64 inches fabric is used for 44 players

So fabric used by each players $=\frac{387.64}{44}=1.99inches$

So fabric used by wristband is 1.99 inches

4 0

3 years ago

One of my students got 95 and 98 for the two Principal tests and for the final test. What is the average of her three tests? Wha

timofeeve [1]

97% because that is the average of the three test scores.

3 0

3 years ago

The two cones below are similar. What is the height of the smaller cone?

Ugo [173]

Given that the two cone are similar, then
3/7 = x/5
7x = 15
x = 15/7

6 0

3 years ago

Read 2 more answers