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1 year ago

Find the additive inverse of 6-3i.

1 answer:

5 0

Hey there!

In order to find the additive inverse of any number, regardless if it is real or not, you can simply multiply the number by -1 or negate it.

This should look like this:
-(6-3i)
=-6+3i

Therefore, the additive inverse of 6-3i is -6+3i.

**Note: Keep in mind, when the additive inverse of a number is added to the number, the number equals 0:
(6-3i)+(-6+3i)=0

Hope this helps and have a marvelous day! :)

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Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week t

valina [46]

For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.

For the given case we have following values and their probabilities:

0 : 0.1

2 : x

3 : y

So the expected value will be = 0(0.1) + 2(x) + 3(y)

Expected value is given to be 2.05. So we can write the equation as:

2x + 3y = 2.05 (Equation 1)

Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:

0.1 + x + y = 1

x + y = 0.9 (Equation 2)

From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:

2(0.9 - y) + 3y = 2.05

1.8 - 2y + 3y = 2.05

1.8 + y = 2.05

y = 0.25

Using the value of y in equation 2 we get value of x to be 0.65

Therefore we can conclude that:

The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25

6 0

2 years ago

Read 2 more answers

A furniture company is introducing a new line of lounge chairs next quarter. These are the cost and revenue functions, where x r

QveST [7]

Answer:

No lower than $208, and no higher than $956.8

Step-by-step explanation:

Notice that the revenue (income) function is represented by a quadratic expression (a parabola with branches pointing down), and the cost function is linear with negative slope.

When we plot them, we obtain the graphs shown in the attached image. Notice as well that there are two points of intersection for these two functions. The revenue exceeds (lays above) the cost in between the two points of intersection (marked in red and green).

For the company to make a profit, the revenue has to be larger than the cost, so we study the limiting values for that to happen, which is the points of intersection of these two curves.

The first one (pictured in red) is associated with coordinates (35, 33488) which tells us that is the production of 35 chairs with a revenue of $33,488. That is a cost per chair of $33,488 / 35 = $956.8

The second intersection (pictured in green) is associated with coordinates (125, 26000), which tells us that is the production of 125 chairs with a revenue of $26,000. That is a cost per chair of $26000 / 125 = $ 208

So these values give us the minimum and maximum that the company can charge to make a profit.

6 0

2 years ago

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Suppose that you want to mix two coffees in order to obtain 100 pounds of a blend. If x represents the number of pounds of coffe

Svetach [21]

Answer: $100-x$

Therefore, the algebraic exp

Step-by-step explanation:

Given : x represents the number of pounds of coffee A.

The total weight of the mix of coffee A and coffee B = 100 pounds.

Then , we have the following expression to represents the number of pounds of coffee B:-

$100-x$

Therefore, the algebraic expression that represents the number of pounds of coffee B. :-

$100-x$

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2 years ago

A clinical test on humans of a new drug is normally done in three phases. Phase I is conducted with a relatively small number of

navik [9.2K]

Answer:

A clinical test on humans of a new drug is normally done in three phases. Phase I is conducted with a relatively small number of healthy volunteers. For example, a phase I test of a specific drug involved only 7 subjects.

Step-by-step explanation:

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1 year ago

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data in

Alex_Xolod [135]

Answer: B. 89

Step-by-step explanation:

-29.202x7= -204.414

-204.414+293.5= 89.086

So the answer is B. 89

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1 year ago