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3 years ago

9

One man can paint a bedroom by himself in 3 hours . how long will it take two men to paint the room if both men paint at the sam

e pace

1 answer:

Over [174]3 years ago

7 0

since one person equals three hours then if u have another man help him then it will take have the time = one hour and thirty minutes

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You have a biased coin for which p(h)=pp(h)=p. you toss the coin 2020 times. what is the probability that you observe 88 heads a

Nat2105 [25]

The question describes a binomial probability with p(h) = p, then p(t) = 1 - p and number of trials (n) = 20

The probability of a binomial distribution is given by

$P(x)=\, ^nC_xp^x(1-p)^{n-x}$

Part A:

The probability of observing 8 heads and 12 tails is given by:

$P(8)=\, ^{20}C_8p^8(1-p)^{20-8}=\, ^{20}C_8p^8(1-p)^{12}$

Part B:

<span>You observe more than 8 heads and more than 8 tails, when you observe 9 heads and 11 tails, 10 heads and 10 tails, and 11 heads and 9 tails.

Therefore, the probability of </span><span>observing more than 8 heads and more than 8 tails</span> is given by:

$P(9)+P(10)+P(11) \\ \\ =\, ^{20}C_9p^9(1-p)^{20-9}+\, ^{20}C_{10}p^{10}(1-p)^{20-10}+\, ^{20}C_{11}p^{11}(1-p)^{20-11} \\ \\ =\, ^{20}C_9p^9(1-p)^{11}+\, ^{20}C_{10}p^{10}(1-p)^{10}+\, ^{20}C_{11}p^{11}(1-p)^{9}$

7 0

3 years ago

Consider the sequence below

GalinKa [24]

Answer: option D is the correct answer

Step-by-step explanation:

In the given sequence, the consecutive terms differ by a common difference.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = - 351

d = - 343 - - 351 = - 343 + 351

d = 8

Therefore, the explicit function which defines the sequence is

f(n) = - 351 + 8(n - 1)

f(n) = 8n - 8 - 351

f(n) = 8n - 359

5 0

3 years ago

1/2x + 5y- 10< 0 The point (4,y) is a solution for the inequality shown. What is the value for y.

finlep [7]

Subtract x on both sides the result you divide it by 5

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3 years ago

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The length of the red line segment is 6, and the length of the blue line segment is 4. how long is the major axis of the ellipse

juin [17]

An ellipse is divided into two axes, the longer axis is the major axis and the shorter axis is the minor axis. The length of the major axis of an ellipse is equal to the sum of two distance: the distance between any point on the ellipse and one on focus and the distance between the same point and the other focus. The focus is the point that helps define an ellipse and every ellipse has two foci. These two distance are also called the red line segment and blue line segment. Given 6 for red line segment and 4 for blue line segment therefore, the length of the major axis of the ellipse is 10.

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What is g(x) = -10(x-8)" +5 in standard form

nekit [7.7K]

Step-by-step explanation:

pls can you give me the answer I want to be sure

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3 years ago