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OLga [1]
3 years ago
14

?????????????this question

Mathematics
2 answers:
laiz [17]3 years ago
4 0
The ananswer is the u
Eduardwww [97]3 years ago
3 0

Answer:

answer: 17


Step-by-step explanation:


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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

3 0
3 years ago
Help please need help with this stuff thank you again for helping
Alex777 [14]
Slope intercept form: y = mx + b

Where m = slope and b = y-intercept.

By looking at the graph, we can see that the line cuts at 1/2 on the y-axis, therefore eliminating option D.

So now we have: y = mx + 1/2

Next, we'll find the slope. \frac{y_2-y_1}{x_2-x_1}

Plug the coordinates into the formula.

\frac{3-(-2)}{4-(-4)}= \frac{5}{8}

So our slope is 5/8 and the y-intercept is 1/2.

Option A is the answer.
6 0
3 years ago
Write an equation to match each graph:
castortr0y [4]

From what I know this graph looks like that of a modulus function except it's shifted 1 unit to right and 1 unit below the origin.

So the original equation must be:
y = |x|

And the transformed equation (aka the equation if this graph) must be,

y+1 = |x| -1

y = |x| -2
7 0
3 years ago
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I feel like crying! why is math so hard???
Sladkaya [172]

Answer:

honestly wish math would just jump off the planet with that fancy ole brown necklace we call a rope.

4 0
3 years ago
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Use factoring to solve <br> x^2-2x-35=0
mrs_skeptik [129]

Answer:

I'm sorry I don't have an answer but for all future math work you should download photomath on your phone it's rly good

7 0
3 years ago
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