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White raven [17]
4 years ago
6

Simpilify the expresssion 2+3i/4+3i

Mathematics
1 answer:
Eddi Din [679]4 years ago
3 0
Multiply the numerator and denominator by 4+5i
=[(2+3i)(4+5i)]/[(4-5i)(4+5i)] 
=[(8-15)+(12+10)i] / [16+25] <span>= [ -7 + 22i ] / [41] 
= (-7/41) + (22/41)i </span>
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PLEASE HELP PLEASE
Contact [7]

Answer:

3024 in^3

Step-by-step explanation:

Think of the dimensions of this prism as being 18 in by 12 in by 14 in:

V = (18 in)(12 in)(14 in) = 3024 in^3

3 0
4 years ago
The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an
ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 20, \sigma = 2

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{19.5 - 20}{2}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

Z = \frac{X - \mu}{\sigma}

Z = \frac{22 - 20}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 20

Z = \frac{X - \mu}{\sigma}

Z = \frac{20 - 20}{2}

Z = 0

Z = 0 has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

4 0
3 years ago
Alec says the sum of two numbers can never be less than either number.
STatiana [176]

Answer:

If you put two things together it cannot be less than what was originally there.

Step-by-step explanation:

For example if you have two bowls of soup and you add them together you will have more soup.

4 0
3 years ago
COMMON CORE REVIEW
masha68 [24]

Answer:

146.9

Step-by-step explanation:

I'm not sure of the answer but if I'm wrong tell me I'll continue trying it is a pleasure to help you.

7 0
3 years ago
Mary says the oen for her horse is a acutr right angle is that true
Eduardwww [97]
No its not possible. An acute triangle has three angles less than 90 degrees. A right triangle has exactly one angle that is 90 degrees. Its not possible for both cases to happen at the same time. 
8 0
3 years ago
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