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2 years ago

I'll give brainliest and points to whomever answers these two questions, thank you so much in advance!

Mathematics

2 answers:

Damm [24]2 years ago

7 0

Answer:

Q8. a. IR

Q9. b. -4

Step-by-step explanation:

Q8- what's the S.S of the inequality: x² + 4 > 2

x² + 4 > 2

⇔ x² > 2 - 4

⇔ x² > -2

Then the set of solutions is all real numbers because x² is always a positive number which means for all real numbers x² > -2.

……………………………………………………………………………

Q9- if x + yi = (1 + i)⁴ , then

x + yi = [(1 + i)²]² = [2i]² = 2²×i² = 4×(−1) = −4

(Just remember that (1 + i)² = 2i )

podryga [215]2 years ago

3 0

Answer:

Answer b of the first one

answer of q9

Step-by-step explanation:

(x+iy)(2−3i)=4+i

2x−(3x)i+(2y)i−3yi

=4+i

Real

2x+3y

Imaginary

(2y−3x)

i=4+i

Comparing the real & imaginary parts,

2x+3y=4--------------------------(1)

2y−3x=1----------------------------(2)

Solving eq(1) & eq(2),

4x+6y=8

−9x+6y=3

13x=5⇒x=

∴(x,y)=(

)

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A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three compl

True [87]

Answer:

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

Step-by-step explanation:

We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

A service center receives an average of 0.6 customer complaints per hour.

This means that $\mu = 0.6h$ , in which h is the number of hours.

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8 hours means that $h = 8, \mu = 0.6(8) = 4.8$ .

The probability is P(X = 4).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 4) = \frac{e^{-4.8}*4.8^{4}}{(4)!} = 0.18203$

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

5 0

3 years ago

The flight path of a plane is a straight line from city J J to city K K. The roads from city J J to city K K take the long way a

Vika [28.1K]

Answer:

58.1 degrees

Step-by-step explanation:

Given the following

JK = 9.4miles (towards south) negative y axis

If the move 15.1 miles towards east (that will be towards the positive x axis)

Using the SOH CAH TOA identity

opposite= 15.1 miles(side facing m<J)

adjacent= JK = 9.4miles

tan theta = opposite/adjacent

tan m<J = 15.1/9.4

tan m<J = 1.6063

m<J = arctan (1.6063)

m<J = 58.09 degrees

Hence the measure of m<J to the nearest tenth is 58.1 degrees

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3 years ago

You read 9.75 pages in your science book and 24.5pages of a play for English class. It takes you 1.2minutes to read each page of

drek231 [11]

Answer:

the number of time spend in reading is 31.3 minutes

Step-by-step explanation:

The computation of the number of time spend in reading is as follows:

= 9.75 pages in science book × 1.2 minutes + 24.5 pages in english class × 0.8 minutes

= 11.7 minutes + 19.6 minutes

= 31.3 minutes

Hence, the number of time spend in reading is 31.3 minutes

The same is relevant and considered

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3 years ago

The plane that passes through the point (-2,2,0) and contains the line with symmetric equations x=y=2z

ehidna [41]

Answer:

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2 years ago

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rusak2 [61]

Answer: 1/40

Step-by-step explanation:

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= 3 3/4 + 2 3/5

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= 6 7/20

We are told that his evil plans require 6 3/8 oz of slime, the amount needed for Sinister Stan for his evil plan would be:

= 6 3/8 - 6 7/20

= 6 30/80 - 6 28/80

= 2/80

= 1/40

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3 years ago