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Westkost [7]
3 years ago
13

The equation of line CD is Y=3X -3. Write an equation of a line perpendicular to line CD in slope intercept form that contains p

oints (3, 1)
Mathematics
1 answer:
OLga [1]3 years ago
8 0
(I'm learning this right now!)

y = 3x - 3
If a line is perpendicular to another line, they have negative reciprocal slopes.
So you would use the slope -1/3.

Use y - y₁ = m(x - x₁) to get an equation in slope intercept form.
Plug the numbers in.

y - 1 = -1/3(x - 3)
y - 1 = -1/3x + 1
y = -1/3x + 2

An equation of a line perpendicular to line CD is y = -1/3x + 2.
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A research team conducted a study showing that approximately 15% of all businessmen who wear ties wear them so tightly that they
Helen [10]

Answer:

a) 0.913

b) 0.397

c) 0.087

Step-by-step explanation:

We are given the following information:

We treat wearing tie too tight as a success.

P(Tight tie) = 15% = 0.15

Then the number of businessmen follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

We have to evaluate:

a) at least one tie is too tight

P(x \geq 1) = P(x = 1) +....+ P(x = 15)\\=1 - P(x = 0)\\= 1 - \binom{15}{0}(0.15)^0(1-0.15)^{15}\\=1 - 0.087\\= 0.913

b) more than two ties are too tight

P(x > 2) = P(x = 3) +....+ P(x = 15)\\=1 - P(x = 0) - P(x=1) - P(x=2)\\= 1 - \binom{15}{0}(0.15)^0(1-0.15)^{15}-\binom{15}{1}(0.15)^1(1-0.15)^{14}-\binom{15}{0}(0.15)^2(1-0.15)^{13}\\=1 - 0.087 - 0.231 - 0.285\\= 0.397

c) no tie is too tight

P(x = 0)\\=\binom{15}{0}(0.15)^0(1-0.15)^{15}\\=0.087

d) at least 18 ties are not too tight

This probability cannot be evaluated as the number of success or the failures exceeds the number of trials given which is 15.

The probability is asked for 18 failures which cannot be evaluated.

8 0
3 years ago
Consider the following equation.
Natali [406]

\\ \tt\longmapsto 6(-x)+4=3x+1

\\ \tt\longmapsto -6x+4=3x+1

\\ \tt\longmapsto -6x-3x=1-4

\\ \tt\longmapsto -9x=-3

\\ \tt\longmapsto x=\dfrac{1}{3}

7 0
3 years ago
What is the rate of change of the function shown in the table below
weqwewe [10]

Answer: -3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find x.<br> Geometry math question please help
insens350 [35]

Triangle on the right is 30 60 90 triangle

The ratio of short leg : long leg : hypotenuse = a : a√3 : 2a

Given long leg = 8√2

so short leg = 8√2 / √3 = 8√2 *√3 / √3 *√3 = 8√6/ 3

Hypo = 2 (8√6/ 3) = 16√6/ 3

The triangle on the left is 45 45 90 triangle

Ratio of leg : hypotenuse = a : a√2

The hypotenuse of triangle on the right is the leg of triangle on the left

so a = 16√6/ 3

Hypotenuse, x = (16√6/ 3) √2 = 16√12 / 3 = 32√3 / 3

Answer is B.

32√3 / 3

5 0
3 years ago
What is the slope (m) of the line?
sergij07 [2.7K]

Answer:

1

Step-by-step explanation:

Because a point must be intersecting 2 lines for it to count. 3 is not the slope because if you try to recreate it under it will end up on a line that does not inersect. Hope this helps and could u try and answer my most recent question?!

3 0
3 years ago
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