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Viktor [21]
3 years ago
5

Need help ASAP plz What is the slope of (1,4) (7,2)

Mathematics
1 answer:
aliina [53]3 years ago
7 0

Answer:

3 <em>or 3/1</em>

Step-by-step explanation

the equation for finding the slope when given two coordinate pairs is (y₂ - y₁)/(x₂ - x₁), aka change in <em>y</em> over change in <em>x</em>.

pick one of your coordinate pairs to be y₂ and x₂. it doesn't matter which coordinate pair you choose. the remaining coordinate pair will be your y₁ and x₁.

<em>for this example, i'll use the coordinate pair (7, 2) as my y₂ and x₂ and (1, 4) as my y₁ and x₁.</em>

first, substitute the x-value and y-value from the first coordinate pair.

(y₂ - y₁)/(x₂ - x₁) ⇒ (7 - y₁)/(2 - x₂)

then substitute the y-value and x-value from the remaining coordinate pair.

(7 - y₁)/(2 - x₂) ⇒ (7 - 4)/(2 - 1)

subtract 7 - 4.

(7 - 4)/(2 - 1) ⇒ (3)/(2 - 1)

subtract 2 - 1.

(3)/(2 - 1) ⇒ (3)/(1) <em>or </em>3/1

simplify.

3/1 ⇒ 3

i hope this helps! have a great day <3

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Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

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The probability distribution (pdf) of the exponential distribution is given by;

f(x) = \lambda e^{-\lambda x} ; x > 0

Here, \lambda = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean =  \frac{1}{\lambda}  

So,  22=\frac{1}{\lambda}  ⇒ \lambda=\frac{1}{22}

SO, X ~ Exp(\lambda=\frac{1}{22})  

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

    P(X\leq x) = 1 - e^{-\lambda x}  ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

        P(X < 30)  =  1 - e^{-\frac{1}{22} \times 30}

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7 0
3 years ago
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noname [10]

Hello from MrBillDoesMath!

Answer:

The first marker is labeled 208708; the second (consecutive) one 208709                  


Discussion:

Call the first mile marker "m". Then

m + (m+1) = 417417            => combine like terms

2m + 1 = 417417                 => subtract 1 from both sides

2m =  417416                     => divide both sides by 2

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Note: m and (m+1) are consecutive as they immediately follow each other in the set of integers.

Thank you,

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Answer:

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120 = (10 + 8)w

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