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1 year ago

Write an equation of a line in slope intercept from given (6,4) (5,2)

Mathematics

1 answer:

Oksana_A [137]1 year ago

5 0

Answer:

y=2x-8

Step-by-step explanation:

<em>Slope-Intercept Form </em>

<em>y=mx+b where y and x are variables, m is the slope, and b is the y-intercept</em>

<u>1. Find slope using the slope formula </u> $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

$\frac{2-4}{5-6} =\frac{-2}{-1} =2$

You now have

y=2x+b

<u>2. Plug in one of the given points into the equation and solve for b</u>

y=2x+b

2=2(5)+b

2=10+b

-8=b

<u>Final Answer:</u>

y=2x-8

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a. The reason why this question is a binomial experiment is based on the fact that it is made up of an independent sample, it has a number that is fixed and a probability.

Each event is made up of two outcomes and they are random with the same success rate.

<h3>b. How to solve probability that exactly 5 had a bachelor</h3>

we have the following data n = 12, p = 0.27 and k = 5

We have to use the function to solve electronically

binompdf(n,p,k)

input the values

= binompdf(12,0.27,5)

This gives us

= 0.1255

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We use the formula below

= binompdf(12,0.27,5-1)

This is = 0.7984

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How to solve for the Mean = n*p

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and

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Read more on binomial experiment here:

brainly.com/question/9325204

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1 year ago

Can someone please help me on these questions?

sleet_krkn [62]

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2 years ago

Read 2 more answers

Katie’s baby sister drinks 4 ounces of apple juice with breakfast every morning. There was a full gallon of juice on the table.

Vlad1618 [11]

Answer: 112 oz

First we have to work with the same units. According to the International System of Units (SI), the Liter (L) is the unit of measurement for liquids, however, we are going to use the ounce (oz) in this case, as it is the unit of measure of the juice that Katie's baby sister drinks.

In addition:

$1L=33.814 oz$ (1)

$1 pint=0.5L\approx 16 oz$ (2)

$1 gallon=3.78 L\approx 128 oz$ (3)

Knowing this, we can calculate how much of apple juice is left for the baby after Katie drank a portion.

In order to do this, we have to substract the amount of juice Katie drank ( $1 pint\approx 16 oz$ ) to the total amount of juice in the full gallon ( $1 gallon\approx 128 oz$ ):

$128 oz-16 oz=112 oz$

This means that there are $112 oz$ left for Katie’s baby sister.

In addition, taking into account the baby drinks $4 oz$ each day, the $112 oz$ left are equivalent to approximately 28 days.

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2 years ago