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AlexFokin [52]
3 years ago
8

Can anybody help me with this?

Mathematics
2 answers:
vlada-n [284]3 years ago
7 0
In the parenthesis: p^3/5 * p^2/5 = p^5/5 (You just add the exponents for multiplication)

p^5/5 is the same as p^1 or just p.

So now we have p^5 in our numerator and p^5 in our denominator.  So that simplifies to 1.
Len [333]3 years ago
4 0
In th: p^3/5 * p^2/5 = p^5/5 add the exponents for multiplication)

p^5/5 is the same as p^1 or just p.
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Question 6 of 10
Maksim231197 [3]

Answer:

(2.5 , 3.5)

Step-by-step explanation:

We can use the midpoint formula . Here the points are , (2,2) and (3,5) .

• <u>Using</u><u> </u><u>Midpo</u><u>int</u><u> Formula</u><u> </u><u>:</u><u>-</u><u> </u>

⇒ M = { (x1 + x2)/2 , (y1 + y2)/2 }

⇒ M = ( 2+3/2 , 5+2/2 )

⇒ M = ( 5/2 , 7/2 )

⇒ M = ( 2.5 , 3.5 )

<h3><u>Hence </u><u>the</u><u> </u><u>midpoint</u><u> </u><u>is</u><u> </u><u>(</u><u>2</u><u>.</u><u>5</u><u> </u><u>,</u><u> </u><u>3</u><u>.</u><u>5</u><u>)</u></h3>
6 0
3 years ago
Please answer all parts of the question and all work shown.
faust18 [17]

Answer:

a. 0.4931

b. 0.2695

Step-by-step explanation:

Given

Let BG represents Boston Globe

NYT represents New York Times

P(BG) = 0.55

P(BG') = 1 - 0.55 = 0.45

P(NYT) = 0.6

P(NYT') = 1 -0.6 = 0.4

Number of headlines = 5

Number of depressed articles = 3 (at most)

a.

Let P(Read) = Probability that he reads the news the first day

P(Read) = P(He reads BG) and P(He reads NYT)

For the professor to read BG, then there must be at most 3 depressing news

i.e P(0) + P(1) + P(2) + P(3)

But P(0) + P(1) + .... + P(5) = 1 (this is the sample space)

So,

P(0) + P(1) + P(2) + P(3) = 1 - P(4) - P(5)

P(4) or P(BG = 4) is given as the binomial below

(BG + BG')^n where n = 5, r = 4

So, P(BG = 4) = C(5,4) * 0.55⁴ * 0.45¹

P(BG = 5). = (BG + BG')^n where n = 5, r = 5

So, P(BG = 5) = C(5,5) * 0.55^5 * 0.45°

P(0) + P(1) + P(2) + P(3)= 1 - P(BG = 4) - P(BG = 5)

P(0) + P(1) + P(2) + P(3) = 1 - C(5,4) * 0.55⁴ * 0.45¹ - C(5,5) * 0.55^5 * 0.45°

P(0) + P(1) + P(2) + P(3) = 0.7438

For the professor to read NYT, then there must be at most 3 depressing news

i.e P(0) + P(1) + P(2) + P(3)

But P(0) + P(1) + .... + P(5) = 1 (this is the sample space)

So,

P(0) + P(1) + P(2) + P(3) = 1 - P(4) - P(5)

P(4) or P(NYT = 4) is given as the binomial below

(NYT+ NYT')^n where n = 5, r = 4

So, P(NYT = 4) = C(5,4) * 0.6⁴ * 0.4¹

P(NYT = 5). = (NYT + NYT')^n where n = 5, r = 5

So, P(NYT = 5) = C(5,5) * 0.6^5 * 0.4°

P(0) + P(1) + P(2) + P(3)= 1 - P(NYT = 4) - P(NYT = 5)

P(0) + P(1) + P(2) + P(3) = 1 - C(5,4) * 0.6⁴ * 0.4¹ - C(5,5) * 0.6^5 * 0.4°

P(0) + P(1) + P(2) + P(3) = 0.6630

P(Read) = P(He reads BG) and P(He reads NYT)

P(Read) = 0.7438 * 0.6630

P(Read) = 0.4931

b.

Given

n = Number of week = 7

P(Read) = 0.4931

R(Read') = 1 - 0.4931 =

He needs to read at least half the time means he reads for 4 days a week

So,

P(Well-informed) = (Read + Read')^n where n = 7, r = 4

P(Well-informed) = C(7,4) * (0.4931)⁴ * (1-0.4931)³ = 0.2695

3 0
3 years ago
If there are 23 students in your class, and your teacher is pulling random names from a hat, what is the probability that your n
krok68 [10]

If the teacher isn't putting the names back in the hat then it would be 1/21 if she is then 1/23

3 0
3 years ago
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Convert 20 milligrams into grams.<br> Can somebody help ?
Fantom [35]

Answer:

0.02

Step-by-step explanation:

4 0
3 years ago
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Solve the equation for R<br> I=V/R<br><br> Include math
Reika [66]

Step-by-step explanation:

I=V/R

I*R=V

R=V/I

:) :( :) :( :)

8 0
3 years ago
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