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2 years ago

What is the absolute value of the complex number?

Mathematics

1 answer:

babunello [35]2 years ago

7 0

Answer:

I think it equals Z

Step-by-step explanation:

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Hi pls anwser will give brainliest

andrew11 [14]

Answer:

h=55.4 mm

Step-by-step explanation:

Area of a triangle = $\frac{bh}{2}$ where b is base and h is height

now just plug and chug

227.14 = 8.2h/2

227.14=4.1h

h=227.14/4.1

h=55.4

check answer:

55.4 * 8.2 /2 = 227.14, as proven by my calculator

8 0

3 years ago

Can you guys help me please

Amanda [17]

Angles ACD and ACE are supplementary. They combine to form a straight angle which is 180 degrees. Let x be the measure of angle ACE.

----

(angle ACD) + (angle ACE) = 180

100 + x = 180

x = 180-100 .... subtract 100 from both sides

x = 80

<h3>angle ACE is 80 degrees</h3>

5 0

3 years ago

Read 2 more answers

a sample of 412 adults showed that 293 of them are connected the the internet from home. Construct and interpret a 90% confidenc

Anna [14]

Answer:

CI = (0.674, 0.748)

Step-by-step explanation:

The confidence interval of a proportion is:

CI = p ± SE × CV,

where p is the proportion, SE is the standard error, and CV is the critical value (either a t-score or a z-score).

We already know the proportion:

p = 293/412

p = 0.711

But we need to find the standard error and the critical value.

The standard error is:

SE = √(p (1 − p) / n)

SE = √(0.711 × (1 − 0.711) / 412)

SE = 0.0223

To find the critical value, we must first find the alpha level and the degrees of freedom.

The alpha level for a 90% confidence interval is:

α = (1 − 0.90) / 2 = 0.05

The degrees of freedom is one less than the sample size:

df = 412 − 1 = 411

Since df > 30, we can approximate this with a normal distribution.

If we look up the alpha level in a z score table or with a calculator, we find the z-score is 1.645. That's our critical value. CV = 1.645.

Now we can find the confidence interval:

CI = 0.711 ± 0.0223 * 1.645

CI = 0.711 ± 0.0367

CI = (0.674, 0.748)

So we are 90% confident that the proportion of adults connected to the internet from home is between 0.674 and 0.748.

5 0

3 years ago

Pens and Pencils

Lina20 [59]

Pen=x
Pencil=y
y+0.15=x
y+x=0.69
y+y+0.15=0.69
2y=0.69-0.15
2y=0.54
y=0.54/2
y=0.27 pencils
y+0.15=x
0.27+0.15=x
0x=0.42 pen
150 pencils x0.27=40.5$
225 pens x 0.42=94.5$
Total 40.5$ + 94.50$=135 $
Supplier is right about a priče.

6 0

3 years ago

Jeremiah invested money into two different accounts at the same time. The system of inequalities represents the balance of each

olasank [31]

Answer:

1st statement is true.

2nd statement is false.

3rd statement is true.

Step-by-step explanation:

We have been given two inequalities and we are asked to find out whether the given statements are true or false.

$y\geq 1.2x+100$ represents balance of account A and $y\geq 1.23x+50$ represents balance of account B.

1. We can see from our inequalities that Jeremiah initially invested $100 in account A and $50 in account B. Therefore, 1st statement is true.

2. The rate at which balance of account A grows is 1.2 and rate for account B is 1.23. Therefore, 2nd statement is false.

3. We can find total amount Jeremiah invested in two accounts by adding initial investment of both accounts, that is 100+50=150 . Therefore, 3rd statement is true.

4 0

4 years ago