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2 years ago

Find the protucts of each pair of complex conjugates. (4+5i)(4-5i)

Mathematics

2 answers:

FinnZ [79.3K]2 years ago

7 0

Answer:

Step-by-step explanation:

Gelneren [198K]2 years ago

4 0

(4 + 5i)(4 - 5i)

FOIL.

16 - 20i + 20i - 25i^2

Simplify.

16 - 25i^2

i^2 = -1

16 + 25

<h3>The product is 41.</h3>

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Amy and three friends launch a new website. Each of the four friends e-mails the web address to three new friends. These new fri

bogdanovich [222]

4 people email 3 more people each so 12 people are emailed, then these 12 people email 3 more people each, so 36 people are emailed.

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2 years ago

Molly has a jar containing 4 yellow, 3 blue, 3 green, and 2 orange marbles

NeTakaya

Answer: .111 with a bar notation over the last 1 or 11.1%

Step-by-step explanation:

There are 12 marbles in total. There are 4 yellow marbles. Therefore there is a 4/12 probability of Randomly picking a Yellow marble the first time . Since she placed the marble back, there is a 4/12 probability of getting a yellow marble the 2nd time.

(4/12)(4/12) = 16/144 = 1/9 = .111 with a bar notation over the last 1 or 11.1% (about 11%)

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3 years ago

If angle a measures 64 then what does angle b measure?

Naddik [55]

Answer:

b = 26°

Step-by-step explanation:

a ; b = complementary =>

a + b = 90° } => b = 90° - 64° = 26°

a = 64°

8 0

2 years ago

Read 2 more answers

Making handcrafted pottery usually takes two major steps:wheel throwing and firing. The time of wheel throwing and thetime of fi

levacccp [35]

Answer:

a) $P(R$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

b) $P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:

$R \sim N(40+60 = 100,\sqrt{2^2 +3^2}= 3.606 s)$