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3 years ago

What is the perpendicular distance from the line y= 2x-3 to the point (8,3)

1 answer:

7 0

Find the perpendicular line then find the intersection then find the point

perpendicular lines have slopes that are perpendicular
the slopes multiply bo -1

y=mx+b
m=slope
y=2x-3
2 is slope

2 times what=-1
what=-1/2

the equation is
y-3=-1/2(x-8) or
y=(-1/2)x+7

find intersection
at (4,5)
distance bwetweeen (8,3) and (4,5)
D= $\sqrt{(8-4)^2+(3-5)^2}$
D= $\sqrt{(4)^2+(-2)^2}$
D= $\sqrt{16+4}$
D= $\sqrt{20}$
D=2√5
distance= 2√5

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the marks in an examination for a Physics paper have normal distribution with mean μ and variance σ2 . 10% of the students obtai

Blababa [14]

Let $X$ be the random variable for the number of marks a given student receives on the exam.

10% of students obtain more than 75 marks, so

$P(X>75)=P\left(\dfrac{X-\mu}\sigma>\dfrac{75-\mu}\sigma\right)=P(Z>z_1)=0.10$

where $Z$ follows a standard normal distribution. The critical value for an upper-tail probability of 10% is

$P(Z>z_1)=1-F_Z(z_1)=0.10\implies z_1=F_Z^{-1}(0.90)$

where $F_Z(z)=P(Z\le z)$ denotes the CDF of $Z$ , and $F_Z^{-1}$ denotes the inverse CDF. We have

$z_1=F_Z^{-1}(0.90)\approx1.2816$

Similarly, because 20% of students obtain less than 40 marks, we have

$P(X$

so that

$P(Z$

Then $\mu,\sigma$ are such that

$\dfrac{75-\mu}\sigma\approx1.2816\implies75\approx\mu+1.2816\sigma$

$\dfrac{40-\mu}\sigma\approx-0.8416\implies40\approx\mu-0.8416\sigma$

and we find

$\mu\approx53.8739,\sigma\approx16.4848$

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4 years ago

A savings account earns 5.32% interest in one year. If the account holds $4,978 for the entire year, about how much will it earn

Degger [83]

Answer:

264.8296, or 264.8 simplified.

Step-by-step explanation:

You would multiply 4,978 by 0.532, and you'd get 264.8.

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4 years ago

Please help meeeeee ://

a_sh-v [17]

A). They are supplementary angles meaning they add up to 180
So
B) (12x+8)+(3x+7)=180
12x+8+3x+7=180
15x+15=180
-15 -15
15x=165
15/15x=165/15
x=11

Angle 1 is
12x+8
12(11)+8
132+8
140
Therefore measure of angle 1 is 140°

Angle 2
3x+7
3(11)+7
33+7
40
Measure of angle 2 is 40°

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3 years ago

Mary states, If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. Decide if her statement i

Mila [183]

The answer for apex would be true.

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4 years ago

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Follow the steps to solve this equation:

saw5 [17]

4X-8=12
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3 years ago

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