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2 years ago

Write an equation of a line in slope-intercept form with the given slope and y-intercept slope:8,y-intercept:-3

Mathematics

2 answers:

OverLord2011 [107]2 years ago

7 0

Answer: y=3x-8

Step-by-step explanation:

bogdanovich [222]2 years ago

7 0

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$\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}$

What is the equation of the line in slope intercept form if its slope is 8 and its y-intercept is -3?

$\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}$

y=8x-3

$\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}$

Slope Intercept form, as the name implies, has slope & intercept in its equation.

It looks like y=mx+b, where "m" is the slope and "b" is the y-intercept.

To determine the equation of the line, we need to write the value of m, which in this case is 8, in lieu of m:-

y=8x+b

Same with the y-intercept:-

$\tt{y=8x+(-3)}$

Which simplifies to

$\tt{y=8x-3}$

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Explain why P(A|D) and P(D|A) from the table below are not equal.

trasher [3.6K]

Answer:

The Probability that Event A and Event D occur is equal to the probability Event A occurs times the probability that Event D occurs, given that A has occurred.

$P(A\cap D)=P(A)\cdot P(D/A)$

We can find the values of $P(A/D)$ and $P(D/A)$ using the above form formula.

$P(D/A)=\frac{P(A\cap D)}{P(A)}$ ;

$P(A/D)=\frac{P(D\cap A)}{P(D)}$

From the given table, we have the values of P(A), P(D), $P(D\cap A)$ and $P(A\cap D)$ .

Since, Probability= $\frac{The number of wanted outcomes }{the number of possible outcomes}$

∴ $P(A)=\frac{8}{17}$ , $P(D)=\frac{10}{17}$ , $P(A\cap D)=\frac{2}{17}$ and $P(D\cap A)=\frac{2}{17}$

Now, putting these values in above formula we get,

$P(D/A)=\frac{\frac{2}{17}} {\frac{8}{17}}$

$P(D/A)=\frac{2} {8}=\frac{1}{4}$

$P(D/A)= \frac{1}{4}$ .

$P(A/D)=\frac{\frac{2}{17}} {\frac{10}{17}}=\frac{2}{10}$

$P(A/D)=\frac{1}{5}$

As, you can see above that the values of P(A|D) and P(D|A) are not equal.

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Answer:

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Step-by-step explanation:

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4 years ago

Help please!!<br> 1. What is the value of n?<br> 2.What is the value of n?

lana66690 [7]

Using the intersecting chord theorem:

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30 = 5n

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n = 30/5

n = 6 m

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8n +64 = 16n +32

Subtract 8n from both sides:

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Divide both sides by 8:

n = 32 /8

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