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babymother [125]
3 years ago
8

Liam had $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $120 among the e of them. Ho

w much money does Liam have left? Write your answer as an expression.
Mathematics
2 answers:
Gemiola [76]3 years ago
7 0
Liam Splits $40 With The 3 Of Them Out Of $120 And Liam Has 130 Because 250-120=130
garri49 [273]3 years ago
7 0

Answer:

250-\frac{120}{e}

Step-by-step explanation:

We have been given that Liam and his classmates bought a present for their teacher, evenly splitting the $120 among the 'e' of them.

This means that number of all students is 'e'. To find the cost of present for each student, we will divide 120 by e.

\text{Cost of present for each student}=\frac{120}{e}

Since Liam had $250, so we need to subtract \frac{120}{e} from 250 to get amount Liam has left:

\text{Amount Liam has left}=250-\frac{120}{e}

Therefore, our required expression would be 250-\frac{120}{e}.

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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

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3 years ago
Long-Term Mehlum
pentagon [3]

Answer:

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Step-by-step explanation:

b b b

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3 years ago
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Contact [7]
8.5 =8\frac{1}{2} = 17/2
So, answer is 17/2
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The sum of three and four tenths and a number is six and six tenths.
Solnce55 [7]
Hopefully I drew what you described.

The 6.6 represents the total of N + 3.4
We subtract the part we know from the whole /sum/total we know to get the other part.
So 6.6 - 3.4 = N
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5 0
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Dafna11 [192]

Answer:

$2025

Step-by-step explanation:

Hope that helps!

7 0
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