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4 years ago

Enter the equation of the line in slope-intercept form.

Mathematics

1 answer:

goblinko [34]4 years ago

6 0

Answer:

y=5x-23

Step-by-step explanation:

Slope-intercept form is: $y=mx+b$

'm' is the slope.

'b' is the y-intercept.

We are given the slope of 5.

We are given a coordinate. (5,2)

We will use the coordinate and the slope to complete the equation.

<h3>Solving The Equation:</h3>

We are already given the slope of five. So, m = 5.

We are given a coordinate. So, to solve the y-intercept, we will use:

x = 5

y = 2

$2=5(5)+b\\\rightarrow5*5 =25\\2=25+b\\\rightarrow 2-25=25-25+b\\\boxed{-23=b}$

So, the y-intercept should be -23.

<h3>Your answer should be:</h3>

$y=5x-23$

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PLEASE HELP! The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisi

Irina18 [472]

Answer:

Question 1: $P ( B | Y ) = \frac{ P ( B and Y)}{ P (Y)} = \frac{ \frac{2}{16}}{ \frac{4}{16}} = \frac{1}{2}$

Question 2:

A. $P ( Y | B ) = \frac{ P(Y and B) }{ P(B) } = \frac{ \frac{2}{16} }{ \frac{6}{16} } = \frac{1}{3}$

B. $P( Z | B ) = \frac{ P ( Z and B)}{ P (B)}= \frac{ \frac{1}{16} }{ \frac{6}{16} } = \frac{1}{6}$

C. $P((Y or Z)|B) = \frac{ P ((Y or Z) and B)}{P(B)}= \frac{ \frac{3}{16}}{ \frac{6}{16}}= \frac{1}{2}$

Step-by-step explanation:

Conditional probability is defined by

$P(A|B)= \frac{P(A and B)}{P(B)}$

with P(A and B) beeing the probability of both events occurring simultaneously.

Question 1:

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

then

P( B and Y)= \frac{ 2 }{ 16 }[/tex]

By definition,

$P ( B | Y ) = \frac{ P ( B and Y)}{ P (Y)} = \frac{ \frac{2}{16} }{ \frac{4}{16} } = \frac{1}{2}$

Question 2.A:

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

then

P( B and Y)= \frac{ 2 }{ 16 }[/tex]

By definition,

$P ( Y | B ) = \frac{ P(Y and B) }{ P(B) } = \frac{ \frac{2}{16} }{ \frac{6}{16} } = \frac{1}{3}$

Question 2.B:

Z: Championships won by the 13 - 15 years old, beeing

$P ( Z)= \frac{ 1 }{ 16 }$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

then

P( Z and B)= \frac{ 1 }{ 16 }[/tex]

By definition,

$P( Z | B ) = \frac{ P ( Z and B)}{ P (B)}= \frac{ \frac{1}{16} }{ \frac{6}{16} } = \frac{1}{6}$

Question 3.B

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

Z: Championships won by the 13 - 15 years old, beeing

$P ( Z)= \frac{ 1 }{ 16 }$

then

$P (Y or Z) = P(Y) + P(Z) = \frac{6}{16}$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

$P((YorZ) and B)= \frac{3}{16}$

By definition,

$P((Y or Z)|B) = \frac{ P ((Y or Z) and B)}{P(B)}= \frac{ \frac{3}{16}}{ \frac{6}{16}}= \frac{1}{2}$

3 0

3 years ago

Simplify ten to the eighth divided by ten to the negative third.

In-s [12.5K]

Answer:

$10^{11}$

Step-by-step explanation:

A statement is given i.e. "ten to the eighth divided by ten to the negative third."

It means that 10 to power 8 divided by 10 to the power -3.

Mathematically,

$\dfrac{10^8}{10^{-3}}$

We know that, $\dfrac{x^a}{x^b}=x^{a-b}$

Here, x = 10, a = 8 and b = -3

So,

$\dfrac{10^8}{10^{-3}}=10^{8-(-3)}\\\\=10^{8+3}\\\\=10^{11}$

So, the answer is $10^{11}$

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4 years ago

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3 years ago

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If $14871.16 = 1.957% of x, what is x?

DIA [1.3K]

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means

$14871.16 = 1.957% times x

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$14871.16 = (0.01957)x

/0.01957 /0.01957

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4 years ago

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The given line segment has a midpoint at (-1, -2).

madreJ [45]

Answer:

y = -4x -6

Step-by-step explanation:

The given segment has a rise if 1 for a run of 4, so a slope of ...

m = rise/run = 1/4

The desired perpendicular has a slope that is the negative reciprocal of this:

m = -1/(1/4) = -4

A point that has a rise of -4 for a run of 1 from the given midpoint is ...

(-1, -2) +(1, -4) = (0, -6) . . . . . . . the y-intercept of the bisector

So, our perpendicular bisector has a slope of m=-4 and a y-intercept of b=-6. Putting these in the slope-intercept form equation, we find the line to be ...

y = mx +b

y = -4x -6

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4 years ago