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Kisachek [45]
3 years ago
6

Find the difference of the two complex numbers (2 + 5i) - (-6 + 3i)

Mathematics
1 answer:
Kryger [21]3 years ago
8 0

Answer:

Step-by-step explanation:

(2 + 5i) - (-6 + 3i)              Remove the brackets.

2 + 5i + 6 - 3i                    Collect like terms

2 + 6 = 8

5i - 3i = 2i

Answer 8 + 2i

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In circle O, tangent MN and secant MPQ are drawn to the circle from exterior point M. If MP = 6 and PQ = 8 then which of the fol
deff fn [24]

Answer:

42

Step-by-step explanation:

3 0
3 years ago
Is the confidence interval affected by the fact that the data appear to be from a population that is not normally​ distributed?
sp2606 [1]

Answer:

D. No, because the sample size is large enough.

Step-by-step explanation:

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

If the sample size is higher than 30, on this case the answer would be:

D. No, because the sample size is large enough.

And the reason is given by The Central Limit Theorem since states if the individual distribution is normal then the sampling distribution for the sample mean is also normal.

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

If the sample size it's not large enough n<30, on that case the distribution would be not normal.

7 0
3 years ago
50 POINTS !!<br><br><br> PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
ElenaW [278]

Answer:

8.2

Step-by-step explanation:

(4.5)^2+(6.9)^2=c^2

20.25+47.61=67.86

sqrt of 67.86= 8.2 (rounded already) :)

6 0
2 years ago
A stereo system cost $275. It was on sale for 15% off. The sales person receives a 2% commission. How much of a commission do th
kkurt [141]
The price of the stereo on sale   
is 
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233.75 

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8 0
3 years ago
Read 2 more answers
Find the coordinates of the intersection of the medians of △ ????BC given ????(2, 4), ????(−4, 0), and ????(3, −1).
Damm [24]

Answer:

The coordinates of the intersection of the medians of △ABC is (1/3, 1).

Step-by-step explanation:

Consider the vertices of △ABC are A(2, 4), B(−4, 0), and C(3, −1).

Intersection of the medians of a triangle is known as centroid.

Formula for centroid of a triangle is

Centroid=(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3})

Using the above formula the centroid of △ABC is

Centroid=(\dfrac{2-4+3}{3},\dfrac{4+0-1}{3})

Centroid=(\dfrac{1}{3},\dfrac{3}{3})

Centroid=(\dfrac{1}{3},1)

Therefore the coordinates of the intersection of the medians of △ABC is (1/3, 1).

4 0
3 years ago
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