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ASHA 777 [7]
2 years ago
6

If (2i/2+i)-(3i/3+i)=a+bi, then b=

Mathematics
1 answer:
max2010maxim [7]2 years ago
6 0

Answer:

b = -1/10.

Step-by-step explanation:

(2i/2+i)-(3i/3+i)

= 2i(3 + i) - 3i(2 + i) / (2 + i)(3 + i)

= 6i + 2i^2 - 6i - 3i^2 / (2 + i)(3 + i)

=  (-2 + 3) / (6 + 5i - 1)

= 1 / (5 + 5i)

Now we multiply top and bottom by 5 - 5i :

= 5 - 5i / (5 + 5i)(5 - 5i)

=  5 - 5i / 25 -25i^2

= 5 - 5i / 50

= 1/10 - 1/10i

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The data set of the diameters of the metal cylinders manufactured an automatic machine has sample size of n=29, mean of x= 49.98
Lena [83]

Answer:

we say for  μ = 50.00 mm we be 95% confident that machine calibrated properly with ( 49.926757  ,  50.033243 )

Step-by-step explanation:

Given data

n=29

mean of x = 49.98 mm

S = 0.14 mm

μ = 50.00 mm

Cl = 95%

to find out

Can we be 95% confident that machine calibrated properly

solution

we know from t table

t at 95% and n -1 = 29-1 = 28 is  2.048

so now

Now for  95% CI for mean is

(x - 2.048 × S/√n  ,  x + 2.048 × S/√n )

(49.98 - 2.048 × 0.14/√29  ,  49.98 + 2.048 × 0.14/√29 )

( 49.926757  ,  50.033243 )

hence we say for  μ = 50.00 mm we be 95% confident that machine calibrated properly with ( 49.926757  ,  50.033243 )

8 0
3 years ago
Divided 80 by my number, and then added 13. The result was 93. What was my number ?
Elena L [17]

Answer:

6400

Step-by-step explanation:

6400/80=80

80+13=93

Hope this Helps

Pls Mark as Brainliest

4 0
3 years ago
Read 2 more answers
Solve the system of equations using elimination. How many solutions does the system have?
Morgarella [4.7K]

Answer:

I hope it helps u

Step-by-step explanation:

Let's solve your system by elimination.

15j+12k=18;5j+4k=6

Multiply the second equation by -3, then add the equations together.

(15j+12k=18)

−3(5j+4k=6)

Becomes:

15j+12k=18

−15j−12k=−18

Add these equations to eliminate j:

0=0

Answer:

Infinitely many solutions

Note:  Please Brain-list it ok dear!

If u have any doubt you can ask ok

6 0
2 years ago
Select the fraction that is NOT in lowest terms . which of these fractions is not in lowest term?
Kisachek [45]

Answer:

14/21

Step-by-step explanation:

14/21 is divisible by 7, and can reduce to 2/3

6 0
3 years ago
How can you represent a relationship between two quantities?
Murrr4er [49]
By the graph of a straight line through the origin with a slope equal to the unit rate
5 0
3 years ago
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