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Andre45 [30]
3 years ago
5

What is the difference of (5 + 3i) and (2 + 9i)?

Mathematics
1 answer:
ehidna [41]3 years ago
7 0

Answer:

3+12i

Step-by-step explanation:

The difference of 5+3i and 2 + 1999 can be calculated as follows

= 5+3i - 2+9i

Collect the like terms

= 5-2+3i+9i

= 3+12i

Hence the difference of 5+3i and 2+9i is 3+12i

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A coin is tossed 7 times. What is the probability that the number of heads obtained will be between 2 and 7 inclusive? Express y
Marina CMI [18]

Answer:

0.9375

Step-by-step explanation:

Given the following :

Number of coin tosses = 7

Probability that number of heads obtained will be between 2 and 7 inclusive?

x = 2,3,4,5,6,7

Probability (P) = number of required outcomes / total possible outcomes

For a coin toss = 1 Head (H), 1 tail (T)

P(H) = 1 / 2

P(X) = C(7,x) * (1/2)^7

P(X) = C(7, x) / 0.5^-7

P(X) = [C(7,2) + C(7, 3)+ C(7,4) +C(7,5) + C(7,6) +C(7,7)] / 128

P(X) = (21 + 35 + 35 + 21 + 7 + 1) / 128

P(X) = 120 / 128

P(X) = 0.9375

5 0
3 years ago
Find measure of Arc BC
iren2701 [21]

Answer:

arc BC = 140

Step-by-step explanation:

Comment

Pick a point inside the circle. It should look like this point is the center of the circle. Call this point D. Draw lines CD and BD

CD makes a right angle with AC

BD makes a right angle with AB

The central angle formed by The given information above is

<BDC = 360 - 90 - 90 - 40

<BDC = 140.

Answer The arc measurement of BC = 140

5 0
2 years ago
Y=1/2x+3<br> -x+27=-6 <br><br> solve using substitution
Nat2105 [25]

Answer:

y= 19.5    x=33

Step-by-step explanation:

-x + 27= -6

(subtract 27 on both sides)

-x= -33

(divide by negative 1 on both sides)

x= 33

(substitute x into the first equation)

y= 1/2x + 3

y= 1/2(33) +3

y= 16.5 +3

y= 19.5

hope this helps :))

3 0
3 years ago
Sarah borrowed some money from her father at a simple interest rate of 5.5% to pay for her college tuition. At the end of the ye
gavmur [86]
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4 0
3 years ago
Janet is designing a frame for a client. She wants to prove to her client that m∠AGE ≅ m∠CHE in her sketch. What is the missing
Amiraneli [1.4K]

Answer:

I believe the answer is transative property. I'm currently taking the test so I'm not 100% sure if I'm right yet.

Step-by-step explanation:

In step one, AGE and HGB are verticle angles since they are opposite of each other. then step two is alternate interior angles because they are interior angles opposite of each other, self-explanatory. the reason I choose the transitive property over the corresponding angles theorem is because the transitive property states: among A B and C, if A=B and B=c then A=C and in this case since AGE=HGB andHGB=CHE then AGE=CHE. I hope this helps and if you know the right answer just put it in the comments, if I'm wrong ofc.  

6 0
3 years ago
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