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serious [3.7K]
3 years ago
14

Write an equation in slope for a line that passes through (3,4) (and has a y intercept of -8)

Mathematics
1 answer:
Vlad [161]3 years ago
5 0

Answer:

Part 1) The equation in slope intercept form is y=4x-8

Step-by-step explanation:

Part 1) Write an equation in slope-intercept form for a line that passes through (3,4) (and has a y intercept of -8)

we know that

The equation of a line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

b=-8

point\ (3,4)

substitute

4=m(3)-8

solve for m

4+8=3m

3m=12

m=4

therefore

y=4x-8

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The average number of tunnel construction projects that take place at any one time in a certain state is 3. Find the probability
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Answer: 0.1008188

Step-by-step explanation:

The question will usng the poisson distribution formula:

Given :

Mean(λ) number of occurrence in a given interval = 3

P(X=x) = Probability of exactly x occurrence in a given interval

Number of desired occurence(x) = 5

P(X=x) = [(λ^x) * (e^-λ)] / x!

Where ; e = base of natural logarithm = 2.7182818

P(X=5) = [(3^5) * (e^-3)] / 5!

P(X=5) = [(243) * (0.0497870)] / 120

P(X=5) = [12.098257] / 120

P(X=5) = 0.1008188

6 0
3 years ago
Mariana is making a large pot of pasta. She mixes together 5 pounds of pasta, 6 pounds of sauce, and
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Answer:

B

Step-by-step explanation:

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3 years ago
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Answer<br><br> -10 – (-2) =
Allisa [31]

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8

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- (-2) is the same as + 2

-10 + 2 = -8

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3 years ago
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A box at a miniature golf course contains contains 4 red golf balls, 8 green golf balls, and 7 yellow golf balls. What is the pr
Solnce55 [7]

Answer:

 =57.89%

Step-by-step explanation:

The total number of golf ball is 4+8+7 = 19

P (red or yellow) = number of red or yellow

                              ------------------------------------

                                total number of golf balls

                           = 4+7

                              -----

                              19

                         =11/19

Changing this to a percent means changing it to a decimal and multiplying by 100%

                        = .578947368 * 100%

                         =57.8947368%

Rounding to two decimal places

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3 years ago
A transformation T: (x, y) (x + 3, y + 1). For the ordered pair (4, 3), enter its preimage point. (-1, 2) (1, 2) (7, 4)
Aleksandr-060686 [28]

Answer:

(1,2)

Step-by-step explanation:

we know that

The rule of the transformation is equal to

(x, y)  ------> (x + 3, y + 1)

Pre-image -----> Image

(x, y)  ------> (4, 3)

so

x+3=4 ----> x=4-3=1

y+1=3 ---> y=3-1=2

therefore

The pre-image is the point (1,2)

6 0
4 years ago
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