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Minchanka [31]
2 years ago
15

If you know how to do it, please help me out :)

Mathematics
1 answer:
Artemon [7]2 years ago
8 0

Answer:

Answer in explanation.

Step-by-step explanation:

Lets take

y =  \frac{3}{4} x - 5

as L1.

Take L2 the line perpendicular to L1.

Standard form of equation of line:

y=mx+c, where m = slope and c = y-intercept.

Since L1 and L2 are perpendicular,

mL1 x mL2 = -1

Substitute mL1 into the equation,

3/4 x mL2 = -1

mL2 = -1 ÷ 3/4

mL2 = -4/3

L2 : y = mx+ c

Substitute y = 6, x = 8 and m = -4/3 into the equation,

6 =  -  \frac{4}{3} (8) + c \\ 6 = -  \frac{32}{3}  + c \\ c = 6 +  \frac{32}{3}  \\  = 16 \frac{2}{3}

therefore L2:

y =  -  \frac{4}{3}x   + 16 \frac{2}{3}

Lets take L3 as the line parallel to L1.

Since L3 and L1 are parallel,

mL3 = mL1 = 3/4

equation of line: y = mx+c

substitute y = 6, x = 8 and m = 3/4 into equation.

6 = ( \frac{3}{4} )(8) + c \\ 6 = 6 + c \\ c = 6 - 6 \\  = 0

therefore L3:

y =  \frac{3}{4} x

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A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 90% of the time if the
Ahat [919]

Answer:Given:

P(A)=1/400

P(B|A)=9/10

P(B|~A)=1/10

By the law of complements,

P(~A)=1-P(A)=399/400

By the law of total probability,

P(B)=P(B|A)*P(A)+P(B|A)*P(~A)

=(9/10)*(1/400)+(1/10)*(399/400)

=51/500

Note: get used to working in fraction when doing probability.

(a) Find P(A|B):

By Baye's Theorem,

P(A|B)

=P(B|A)*P(A)/P(B)

=(9/10)*(1/400)/(51/500)

=3/136

(b) Find P(~A|~B)

We know that

P(~A)=1-P(A)=399/400

P(~B)=1-P(B)=133/136

P(A∩B)

=P(B|A)*P(A) [def. of cond. prob.]

=9/10*(1/400)

=9/4000

P(A∪B)

=P(A)+P(B)-P(A∩B)

=1/400+51/500-9/4000

=409/4000

P(~A|~B)

=P(~A∩~B)/P(~B)

=P(~A∪B)/P(~B)

=(1-P(A∪B)/(1-P(B)) [ law of complements ]

=(3591/4000) ÷ (449/500)

=3591/3592

The results can be easily verified using a contingency table for a random sample of 4000 persons (assuming outcomes correspond exactly to probability):

===....B...~B...TOT

..A . 9 . . 1 . . 10

.~A .399 .3591 . 3990

Tot .408 .3592 . 4000

So P(A|B)=9/408=3/136

P(~A|~B)=3591/3592

As before.

Step-by-step explanation: its were the answer is

5 0
3 years ago
441 is 63% of what number
blagie [28]
<span>Question: 441 is 63% of what number?
=> 63% = 63% / 100% = 0.63
Since 441 is the 63% let’s find the value of 37% to get the toal of 100%
Solution, follow the formula
=> 0.63x = 441 – where x will be the value of the missing 100% value.
=> x = 441 / 0.63
=> x = 700 – the 100% value that have 441 as 63%
let’s check if we have the correct answer:
=> 700 * .63 = 441 </span>



6 0
3 years ago
8 times the sum of a number 4 is 5 with the variable w
Vlada [557]

Answer:

8(w+4)=5

Step-by-step explanation:

6 0
2 years ago
What measurement can be qualitative
shepuryov [24]

How soft one's skin is.

4 0
3 years ago
Help please ASAP!!!! I NEED CORRECT ANSWERS ONLY FOR BRAINLIEST
scoray [572]

f(x) =5-3x

g(x)=x²-1

f(g(x)) = f(x²-1)

replacing x by x²-1 in the function f(x) , we get

f(x²-1) = 5-3(x²-1) = 5-3x²+3 =8-3x²

f(g(x)) =8-3x²

now finding g(f(x))

g(5-3x)

replacing x by 5-3x in the function g(x)

g(5-3x) = (5-3x)²-1

g(5-3x) = 5²-30x +9x²-1 = 9x²-30x +24

g(f(x))= 9x²-30x +24

f(g(x)) =8-3x²

in option third the f(g(x)) is -3x³+8 which is incorrect

8 0
3 years ago
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