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Ksju [112]
3 years ago
6

What is the equation of this graphed line?

Mathematics
2 answers:
Eva8 [605]3 years ago
6 0

Answer:

  • y = -9/8x + 7

Step-by-step explanation:

<u>Slope-intercept form is:</u>

  • y = mx + b

<u>Points given:</u>

  • (0, 7) and (8, -2)

<u>y-intercept is </u>

  • b = 7 as per the first point

<u>And the slope is:</u>

  • m = (-2 - 7)/(8 - 0) = -9/8

<u>So the line is:</u>

  • y = -9/8x + 7
Scorpion4ik [409]3 years ago
6 0

Answer:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

points are

  • (0,7)
  • (8,-2)

slope =m

{:}\longrightarrow\sf m={\dfrac {y_2-y_1}{x_2-x_1}}

{:}\longrightarrow\sf {\dfrax {-2-7}{8-0}}

{:}\longrightarrow\sf {\dfrac {-9}{8}}

y intercept:-

7

Hence the equation is

{:}\longrightarrow\sf y={\dfrac {-9}{8}}+7

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Answer:

Probability of atleast one of 12 student has food allergies ≈ 0.58 ( approx)

Step-by-step explanation:

Given: Probability of a children under age 5 has food allergies = 7%

                                                                                                        =\frac{7}{100}

To find : Probability of atleast one of 12 student has food allergies

Probability of a chindren under age 5 does not have food allergies = 1-\frac{7}{100}

                  ⇒ prob = \frac{93}{100}

now we find Probability of atleast one of 12 student has food allergies this means we have to find prob of 1 student, 2 student, 3 student, till 12 student have allergy out of 12 student of class then add all prob.

But instead of finding all these probability we find probability of student having no allergy.i.e., 0 student then subtract it from 1(total probability)

Probability of 0 student having allergy out of 12 student = (\frac{93}{100})^{12}

Therefore, Probability of atleast one of 12 student has food allergies

                  = 1-(\frac{93}{100})^{12}

                  = 0.581403702521

                  ≈ 0.58 ( approx)

                 

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