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3 years ago

Find the slope of the line in simplest form.

Mathematics

1 answer:

N76 [4]3 years ago

7 0

Answer:

$-\frac{3}{2}$

Step-by-step explanation:

To find the slope of the given line, slope is the rise divided by the run of a line.

Slope = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

Picking points (4, 18) and (8, 12)

Now;

x₁ = 4

y₁ = 18

x₂ = 8

y₂ = 12

Slope = $\frac{12 - 18}{8-4}$ = $-\frac{6}{4}$ = $-\frac{3}{2}$

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After a concert for 1200 people only 9 people said they would go if they would not go to see the band again what percent of the

Snezhnost [94]

75% of people do not want to see the band again

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3 years ago

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Let X equal the number of typos on a printed page with a mean of 4 typos per page.

timama [110]

Answer:

a) There is a 98.17% probability that a randomly selected page has at least one typo on it.

b) There is a 9.16% probability that a randomly selected page has at most one typo on it.

Step-by-step explanation:

Since we only have the mean, we can solve this problem by a Poisson distribution.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

In this problem, we have that $\mu = 4$

(a) What is the probability that a randomly selected page has at least one typo on it?

Thats is $P(X \geq 1)$ . Either a number is greater or equal than 1, or it is lesser. The sum of the probabilities must be decimal 1. So:

$P(X < 1) + P(X \geq 1) = 1$

$P(X \geq 1) = 1 - P(X < 1)$

In which

$P(X < 1) = P(X = 0)$ .

$P(X = 0) = \frac{e^{-4}*4^{0}}{(0)!} = 0.0183$

$P(X \geq 1) = 1 - P(X < 1) = 1 - 0.0183 = 0.9817$

There is a 98.17% probability that a randomly selected page has at least one typo on it.

(b) What is the probability that a randomly selected page has at most one typo on it?

This is $P = P(X = 0) + P(X = 1)$ . So:

$P(X = 0) = \frac{e^{-4}*4^{0}}{(0)!} = 0.0183$

$P(X = 1) = \frac{e^{-4}*4^{1}}{(1)!} = 0.0733$

$P = P(X = 0) + P(X = 1) = 0.0183 + 0.0733 = 0.0916$

There is a 9.16% probability that a randomly selected page has at most one typo on it.

3 0

3 years ago

Combine like terms to create an equivalent expression. Enter any coefficients as simplified proper or improper fractions or inte

Sonja [21]

Answer:

1 -9/7n

Step-by-step explanation:

$\dfrac{1}{7}-3\left(\dfrac{3}{7}n-\dfrac{2}{7}\right)=\dfrac{1}{7}-\dfrac{3\cdot3}{7}n+\dfrac{3\cdot2}{7}=\dfrac{1}{7}+\dfrac{6}{7}-\dfrac{9}{7}n\\\\=\dfrac{1+6}{7}-\dfrac{9}{7}n=\boxed{1-\dfrac{9}{7}n}$

5 0

2 years ago

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I need help with this question please

ohaa [14]

Answer:

1) 0+2/2 = 1, 2+(-2)/2 = 2-2/2 = 0 so... midpoint is 1,0

2) 5+1/2 = 3, 6+(-2)/2 = 6-2/2 = 2 so... midpoint is 3,2

The line is slanting ( starting of line is downwards going to the left bottom and the top of the line is facing upwards going to the top right )

HOPE THIS HELPS!!

4 0

3 years ago

Is anyone able to help me with this question, if you understand it ?

lana [24]

Answer:

X = 3.879 Y = 2.943

Step-by-step explanation:

I entered both functions into my graphing calculator and graphed them. Then, I clicked 2nd Calc to find the intersection point to which it said the answer above. Hope this helped.

4 0

3 years ago

Read 2 more answers