Simplify (7-2i) - (3 +9i).
0-7
O 15
O 4 +7i
04-11i

Answer:

the graph cannot represent a function because there are multiple (and likely infinite) places where y has changed but x remains the same

Step-by-step explanation:

Answer:

x = 8

\(x=1\frac{2}{3}\)

Step-by-step explanation:

0 = (x - 8)(3x - 5)

(x - 8)(3x - 5) = 0

x(3x - 5) - 8(3x - 5) = 0

3x² - 5x - 8(3x - 5) = 0

3x² - 5x - 24x + 40 = 0

3x² - 29x + 40 = 0

\(x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}\)

Ignore the A before the ±. It wouldn't let me type it correctly.

3x² - 29x + 40 = 0

a = 3

b = - 29

c = 40

\(x=\frac{-(-29)±\sqrt{(-29)^{2}-4((3)(40)) } }{2(3)}\)

\(x=\frac{-(-29)±\sqrt{841-4((3)(40)) } }{2(3)}\)

\(x=\frac{29±\sqrt{841-480} }{2(3)}\)

\(x=\frac{29±\sqrt{361} }{2(3)}\)

\(x=\frac{29±19 }{2(3)}\)

\(x=\frac{29±19 }{6}\)

Two separate equations

\(x=\frac{29+19 }{6}\)

\(x=\frac{48 }{6}\)

x = 8

\(x=\frac{29-19 }{6}\)

\(x=\frac{10 }{6}\)

\(x=\frac{5 }{3}\)

\(x=1\frac{2}{3}\)

Answer is (x - 2).

- BRAINLIEST answerer

Answer:

                     .                           .                                       .

_________-16____-14____-12____-10____-8____-6____-4____-2____0

The correct option c.) -3.32, for the z-score of the sample for the hypothesis that the smokers need less sleep than the general public.

The formula for the calculation of z-score as;

z = (x-bar - μ)/(σ/√n)

In which,

The given data:

Then,

z-score = (7.2 - 7.5)/(0.7/√60)

z-score = -0.3/0.0903696

z-score = -3.32

Thus, the value of the z score for the hypothesis that the smokers need less sleep than the general public is found as  -3.32.

To know more about the z-score, here

https://brainly.com/question/25638875

#SPJ4

Therefore, the probability that the sample mean cholesterol level is less than 190 is approximately 0.23%.

We can use the central limit theorem to approximate the distribution of the sample mean cholesterol level as normal with a mean of 202 and a standard deviation of 41/sqrt(100) = 4.1.

To find the probability that the sample mean cholesterol level is less than 190, we can standardize the sample mean using the formula:

z = (x - mu) / (sigma / sqrt(n))

where x is the sample mean, mu is the population mean, sigma is the population standard deviation, and n is the sample size.

Plugging in the values, we get:

z = (190 - 202) / (4.1) = -2.93

Now we can use a standard normal distribution table or calculator to find the probability that a standard normal random variable is less than -2.93. The probability is approximately 0.0023 or 0.23%.

To know more about probability,

https://brainly.com/question/28999127

#SPJ11

Answer:

Length is 29 feet. Width is 20 feet.

Step-by-step explanation:

We know that the rectangular garden is fenced on all sides with 98 feet of fencing.

In other words, our perimeter is 98 feet.

Remember that the formula for perimeter is:

\(P=2(l+w)\)

Since we know our perimeter, substitute 98 for P:

\(98=2(l+w)\)

Now, we also know that our width is 9 feet shorter than our length.

So, whatever our length is, we subtract 9 to acquire the width. In other words:

\(w=l-9\)

We now have a system of equations. To solve for both w and l, we can use substitution.

Let's substitute our second equation into the first. This yields:

\(98=2(l+(l-9))\)

First and foremost, let's divide both sides by 2 to simplify. This gives us:

\(49=l+(l-9)\)

Combine like terms on the right:

\(49=2l-9\)

Add 9 to both sides. So:

\(58=2l\)

Divide both sides by 2. Therefore, our length is:

\(l=29\)

Since our width is 9 feet shorter than our length, our width is 29 - 9 or 20 feet.

So, our length is 29 feet and our width is 20 feet.

And we're done!

The constant of proportionality in this proportional relationship is (D) 5/12.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.

Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.

So, the constant of proportionality formula:

y = kx ⇒ k = y/x

Now, calculate as follows:

(A)

k  = y/x

k = 5/6 / 2

k = 5/6 * 1/5

k = 5/12

(B)

k  = y/x

k = 5/3 / 4

k = 5/3 * 1/4

k = 5/12

Similarly, we can say that (C) and (D) will also be k = 5/12.

Therefore, the constant of proportionality in this proportional relationship is (D) 5/12.

Know more about the constant of proportionality here:

https://brainly.com/question/28413384

#SPJ1

Complete question:
What is the constant of proportionality in this proportional relationship?

x 2 4 6 8

y 5/6 1 2/3 2 1/2 3 1/3

Responses

a. 12

b. 5

c. 12/5

d.5/12

Answer:

2 3/8

Step-by-step explanation:

Answer:

Assuming you meant 19/8, the answer would be 2 and 3/8

Step-by-step explanation:

How many times does 8 go into 19? Twice, plus you will have 3 leftover since 8 x 2 is only 16 and not 19. That 2 stays a 2 and the left over 3 is 3/8, so your answer is 2 + 3/8

The two rejection areas in using a two-tailed test and the 0.01 level of significance are:

Option e. Above 2.58 and below -2.58.

A two-tailed test is used when we want to test if the mean of a population is different from a specific value. In this case, we have two rejection areas, one in each tail of the distribution. The 0.01 level of significance means that we have a 1% chance of rejecting the null hypothesis when it is actually true.

To find the rejection areas, we need to look at the critical values for the 0.01 level of significance in a two-tailed test. These values are found in a Z-table or can be calculated using a calculator. The critical values for a two-tailed test and the 0.01 level of significance are 2.58 and -2.58. This means that any value above 2.58 or below -2.58 will be in the rejection areas and will lead us to reject the null hypothesis.

Therefore, the correct answer is e. Above 2.58 and below -2.58.

More information about two-tailed test here: https://brainly.com/question/28334447

#SPJ11

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

To know more about Computing equipment visit:

brainly.com/question/33122788

#SPJ11

The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.

If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.

The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.

To learn more about the simple random sample

https://brainly.com/question/30391235

#SPJ11

Answer:  729

Step-by-step explanation:  what we are seeing here is known as exponents, how exponents work is that you have to multiply a number a certain times, depending on the power of #.

3^2 = 9 because simplified, its 3 * 3

3^4 = 81 because simplified, its 3 * 3 * 3 * 3

now the solution would be 9 * 81, which equals 729

-----

hope this helps

Rounding to three decimal places, the critical value is ±2.109.

The critical value for a 95% confidence interval, we need to look up the t-distribution with degrees of freedom given by:

df = [(s1²/n1 + s2²/n2)²] / [((s1²/n1)²/(n1-1)) + ((s2²/n2)²/(n2-1))]

s1 and s2 are the sample standard deviations, n1 and n2 are the sample sizes.

Plugging in the values given in the problem:

df = [((24.75)²/19 + (26.75)²/11)²] / [(((24.75)²/19)²/18) + (((26.75)²/11)²/10)]

≈ 17.517

Using a t-distribution table or a calculator, we can find the critical value for a 95% confidence interval with 17 degrees of freedom:

\(t_c\) = ±2.109We must get the crucial value for a 95% confidence interval using the degrees of freedom provided by the following t-distribution:

(S12/n1 + S22/n2)2 = df ((s22/n2)2/(n2-1)) + ((s12/n1)2/(n1-1))))

The sample standard deviations are s1 and s2, and the sample sizes are n1 and n2.

Inserting the values from the problem:

df = [((24.75)²/19 + (26.75)²/11)²] / [(((24.75)²/19)²/18) + (((26.75)²/11)²/10)]

≈ 17.517

We may get the crucial value for a 95% confidence interval with 17 degrees of freedom using a t-distribution table or a calculator:

For similar questions on decimal places

https://brainly.com/question/28393353

#SPJ11

Answer:

a7 = 1/243

Step-by-step explanation:

The formula for the nth term of a geometric series is

\(a_{n}=a_{1}r^n^-^1\), where a1 is the first term, r is the common ratio, and n is the position of the term (e.g., 6th or 3rd).

First, we need to find the common ratio.  

We can find it by dividing the second term (1) by the first term (3):

\(r=\frac{a_{2} }{a_{1} }=\frac{1}{3}\)

Since we already know a1 and r, we simply substitute 7 for n to find the 7th term:

\(a_{7}=3*\frac{1}{3} ^7^-^1\\a_{7}=3*\frac{1}{3}^6\\ a_{7}=3*\frac{1}{729}\\ a_{7}=\frac{1}{243}\)

Answer:

1000 cubic cm

Step-by-step explanation:

20 x 5 x 10 = 1000 cubic cm

Factorial design are useful in testing theories because they enable researchers to investigate a theory's construct validity. so the correct answer  is option  (a).

A key technique for identifying the impact of numerous variables on a response is the factorial design. Traditionally, experiments are planned to ascertain how one variable affects just one response.

The corpus of knowledge supporting the analysis and application of test results. The definition and measurement of reliability are of primary relevance. Classical test theory, generalizability theory, and item response theory are examples of theoretical frameworks.

a) They enable academics to investigate a theory's construct validity.

To know more about factorial design visit:

https://brainly.com/question/14053832

#SPJI

Answer:

x = 2/3

y = 5

Step-by-step explanation:

6x + y = 9

3x -4y = -18

Times the second equation by -2

6x + y = 9

-6x + 8y = 36

9y = 45

y = 5

Now put 5 in for y and solve for x

6x + 5 = 9

6x = 4

x = 2/3

Let's check

6(2/3) + 5 = 9

4 + 5 = 9

9 = 9

So, x = 2/3 and y = 5 is the correct answer.

Answer:

1.7y

2.-14s

3.-2f

4.23d

5.19r

6.-2s

7.-9q

8.24h

9.10q

10.23d

Step-by-step explanation:

I TRY MY BEST TO SOLVE IT

HOPE IT HELPS

CORRECT ME IF I AM WRONG

1. 7y

2. 28 + 14s

3. -2f - 4

4. 16 + 8d

5. 10 + 9r

6. -18+ 16s

7. -8q

8. 6h - 18

9. 12q - 2

10. 10d -27

Answer:

AB= 8

XY= 5

BX= 4

XZ= 3.5

I believe these are the correct answers.

Step-by-step explanation:

If you look closely at the lines on each of the three outer triangles, it appears that all three of the triangles are the same measurements. So if you just pay attention to which lengths are for each different line, you can plug in the values for the ones you are missing. Hope this helps ❤

Answer:

yes its correct

Step-by-step explanation:

you dont really need work because its really just substitution.

Answer:

7 muffins

Step-by-step explanation:

9x9=81

88-81=7 muffins

Answer:

7 muffins

Step-by-step explanation:

88 x 9 =

81

81 + 7 = 88

So the Answer is 7

Answer:

the answer is 2x-y=-11

Step-by-step explanation:

Answer:

y=-11   x=2

Step-by-step explanation:

I hope this is what you're looking for if not I can give another answer.

Linear is basically a straight line. It can be increasing or decreasing.

Decreasing is when on the graph, when x increases, y decreases.

On the graph, there are two parts that are decreasing. Between -2 and 0, and Between 2 and 4. Let's look at these two.

- For between -2 and 0, the line is not straight. Therefore, it is decreasing and nonlinear. We can check if this is the right answer.

- For between 2 and 4, the line is decreasing. However, the line is straight, which means it is decreasing but linear.

Your final answer is B.

Step-by-step explanation:

To determine whether Alex is more likely to take a '3' card from Rex or from Nina, we need to compare the probabilities of drawing a '3' card from each of them.

Rex has four cards numbered 1 to 4, but we don't know the specific arrangement of the cards. Therefore, the probability of drawing a '3' card from Rex depends on how the cards are distributed. If Rex has a '3' card among his four cards, the probability of drawing it would be 1/4.

Nina, on the other hand, has five cards numbered 1 to 5. Since there is a '3' card among Nina's cards, the probability of drawing a '3' card from her is 1/5.

Comparing the probabilities, we can see that the probability of drawing a '3' card from Rex is higher (1/4) compared to drawing it from Nina (1/5). Therefore, Alex is more likely to take a '3' card from Rex

Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

Answer:

The answe would be "All parallelogram are quadrilaterals."

Answer:

5/12

Step-by-step explanation:

25/60

5/12

Answer:

41.666666666667%

Step-by-step explanation:

60/25 converted into a percent is 41.666666666667%