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3 years ago

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Two perpendicular lines intersect at the origin if the slope of the first line is 3,what is the equation of the second line

1 answer:

ddd [48]3 years ago

3 0

· Perpendicular lines have slopes that are opposite reciprocals of each other

· Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept

If the slope of the first line is 3, the slope of the second line is -1/3. Since the lines intersect at the origin, neither of them have a y-intercept.

Answer:

C) y = -1/3x

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Simplify 2(x – 4) – 3(x+2)

Liono4ka [1.6K]

Answer: =−x−14

Step-by-step explanation:

2(x−4)−3(x+2)

Distribute:

=(2)(x)+(2)(−4)+(−3)(x)+(−3)(2)

=2x+−8+−3x+−6

Combine Like Terms:

=2x+−8+−3x+−6

=(2x+−3x)+(−8+−6)

=−x+−14

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2 years ago

a certain pharmaceutical company know that, on average 4% of a certain type of pill has an ingredient that is below the minimum

FinnZ [79.3K]

Using the binomial distribution, it is found that there is a 0% probability that fewer that 5 in a sample of 20 pills will be acceptable.

For each pill, there are only two possible outcomes, either it is acceptable, or it is not. The probability of a pill being acceptable is independent of any other pill, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

The sample has 20 pills, hence $n = 20$ .

100 - 4 = 96% are acceptable, hence $p = 0.96$

The probability that <u>fewer that 5 in a sample of 20 pills</u> will be acceptable is:

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{20,0}.(0.96)^{0}.(0.04)^{20} = 0$

$P(X = 1) = C_{20,1}.(0.96)^{1}.(0.04)^{19} = 0$

$P(X = 2) = C_{20,2}.(0.96)^{2}.(0.04)^{18} = 0$

$P(X = 3) = C_{20,3}.(0.96)^{3}.(0.04)^{17} = 0$

$P(X = 4) = C_{20,4}.(0.96)^{4}.(0.04)^{16} = 0$

0% probability that fewer that 5 in a sample of 20 pills will be acceptable.

A similar problem is given at brainly.com/question/24863377

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2 years ago

The 7th grade has 195 students. There are 25 more girls than boys in the grade. How many boys are there in 7th grade

Cloud [144]

Answer:

85 boys, 110 girls

Step-by-step explanation:

85 boys+25 more girls= 110 girls

110 girls+85 boys= 195 total students

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3 years ago

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45 is what precent of 72

worty [1.4K]

Answer:

45 is 62.5% of 72

Step-by-step explanation:

72x = 45

x = 45/72 = 0.625 = 62.5%

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3 years ago

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Tính đạo hàm của y=2x-1-căn3x-0

adoni [48]

Answer:

The derivative is

$\frac{dy}{dx} = 2 - \frac{2\sqrt3}{\sqrt x}\\$

Step-by-step explanation:

The function is given by

$y = 2x - 1 - \sqrt {3x}$

Differentiate with respect to x, we get

$\frac{dy}{dx} = 2 - 0 - \frac{2\sqrt3}{\sqrt x}\\\\\frac{dy}{dx} = 2 - \frac{2\sqrt3}{\sqrt x}\\$

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3 years ago