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pantera1 [17]
3 years ago
12

Compute (3+ 4i) − (7 − 20i).

Mathematics
1 answer:
Sonbull [250]3 years ago
6 0

Answer:

-4 + (24) i

Step-by-step explanation:

given,

(3+ 4 i) − (7 − 20 i)

for the given complex number

if the number is added of subtracted the real part will add or subtract to the real part and imaginary will add or subtract to the imaginary part.

now

                  (3+ 4 i) − (7 − 20 i)

               = (3 - 7) + (4-(-20)) i

                = -4 + (24) i

so, the given answer will be -4 + (24) i

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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It
Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 450 gram

Sample mean, \bar{x} = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

\sigma^2 = 256\\\sigma = \sqrt{256} = 16

First, we design the null and the alternate hypothesis

H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25

Now,

Degree of freedom =

=n-1 = 16-1=15

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .            

5 0
3 years ago
Help please due today.
yan [13]

Answer:

I think its 2nd one

HOPE IT HELPS, BE SAFE! Brainiest if possible pls! :)

7 0
3 years ago
Find the 6th term . <br>16,48,144​
olga55 [171]

Step-by-step explanation:

a=16

r=3

48/16=3

144/16=3

6th term

=ar^(n-1)

= 16(3)^(6-1)

=3888

5 0
3 years ago
in the school cafeteria, students choose to their lunch from 4 sandwiches, 2 soups, 2 salads, and 2 drinks. how many different l
Ivenika [448]

Answer:

32

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Solve for u and figure out the answer <br> 57=3u
Wittaler [7]
u = 19 


Hope this helps, Good luck! (:
8 0
4 years ago
Read 2 more answers
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