Given m || n, find the value of x and y.
(3x-4)
(6x-5)

Answer:

a)  P[A/B] = 0,019     or     P[A/B] = 1,9 %

b)  P[A- /B-] = 0,9996       or    P[A- /B-] = 99,96 %

Step-by-step explanation:

Bayes Theorem :

P[A/B]  =  P(A) * P[B/A] / P(B)

The branches of events are as follows

Condition 1        real infection     1/300        and     not infection  299/300

Then

1.-    1/300      299/300

When the test is done   (virus present)  0,9 (+)    0,15 (-)

2.-   299/300

When the test is done  ( no virus )   0,15  (+)     0,85 (-)

Then:

P(A) = event person infected          P(B)  =  person test positive

a) P[A/B]  = P(A) * P[B/A] / P(B)

where   P(A)  = 1/300  =   0,0033   P[B/A] = 0,9    

Then P(A) * P[B/A] =  0,0033*0,9  =  0,00297

P(B)   is    ( 1/300 )*0,9  +  (299/300)*0,15

P(B) = 0,0033*0,9 + 0,9966*0,15    ⇒  P(B) = 0,1524

Finally

P[A/B] =  0,00297 /0,1524

P[A/B] = 0,019     or     P[A/B] = 1,9 %

b) Following sames steps:

P[A- /B-] = (299/300) * 0,85  / (299/300) * 0,85 + (1/300 * 0,1)

P[A- /B-] = 0,8471 /0,8474

P[A- /B-] = 0,9996       or    P[A- /B-] = 99,96 %

Answer:

Direct variation; k=5/2

Step-by-step explanation:

Edge quiz, got it right

Answer:

y+9=1/5(x+4)

Step-by-step explanation:

plug into the formula

Answer:

13.5

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

What number is 15% of 90?

The calculated percentage of the number 15% of 90 would be 13.5.

If this helps please mark brainliest.

Answer:

2 x ^3 + 8 x ^2− 4 x

Step-by-step explanation:

Just simplify!

Answer:

7m

Step-by-step explanation:

Answer: 7m

Step-by-step explanation: 5m + 2m = 7m, so 5m+2m+8 = 7m+8

Answer:

a

[tex]G  =   0.007523 [/tex]

b

 The  number of cars the  highway patrol officer would watch before a  car that is seen is [tex]E(X) = 1.6027 [/tex]

The standard deviation is   [tex]s  =  0.9829 [/tex]

gg

Step-by-step explanation:

From the question we are told that

The mean is [tex]\mu = 71.5 \ miles/hour[/tex]

The standard deviation is [tex]\sigma = 4.75 \ miles/hour[/tex]

The speed limit is [tex] x = 70 \ miles /hour[/tex]

Generally the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as

[tex]p =P(X > x ) = P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})[/tex]

=> [tex] p= P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})[/tex]

=> [tex] p= P(X > 70) = P(\frac{X - \mu }{\sigma } > -0.31579 )[/tex]

Here

[tex]\frac{X - \mu }{\sigma } = Z(The \ standardized \ value \ of X )[/tex]

So

=> [tex] p= P(X > 70) = P(Z > -0.31579 )[/tex]

From the z-table

[tex]p = P(Z > -0.31579 ) = 0.62392[/tex]

So

[tex] p = P(X > 70) = 0.62392 [/tex]

Generally the probability of getting a car that is not moving with speed greater than the speed limit is mathematically represented as

[tex]q = 1 - p[/tex]

=> [tex]q = 1 - 0.62392 [/tex]

=> [tex]q = 0.37608 [/tex]

Generally the probability of getting 5 cars that are not speeding is mathematically represented as

[tex]G = q^5[/tex]

=> [tex]G = (0.37608)^5[/tex]

=> [tex]G = 0.007523 [/tex]

Generally the number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten is mathematically represented as

[tex]E(X) = \frac{1}{p}[/tex]

=> [tex]E(X) = \frac{1}{0.62392}[/tex]

=> [tex]E(X) = 1.6027 [/tex]

Generally the standard deviation is mathematically represented as

[tex]s = \sqrt{\frac{1 - p }{ p^2} }[/tex]

=>     [tex]s  =  \sqrt{\frac{1 -0.62392 }{ (0.62392)^2} }[/tex]

=> [tex]s = 0.9829 [/tex]

The probability that 5 cars pass and none are speeding is 0.007523 and the number of cars the highway patrol officer would watch before a car that is seen is E(X) = 1.6027

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 71.5 miles/hour and a standard deviation of 4.75 miles/hour.

The speed limit on this stretch of the freeway is 70 miles/hour.

Generally, the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as;

[tex]p = P(X > x) = P(X > 70) = P(z = \dfrac{X - \mu}{\sigma } > \dfrac{70 - 71.5}{4.75})\\\\p = P(X > 70 ) = P(\dfrac{X -\mu}{\sigma} > -0.31579)[/tex]

From the z-table

[tex]p = P(X > 70)= P(z > -0.31579) \\\\p = 0.62392[/tex]

Generally, the probability of getting a car that is not moving with speed greater than the speed limit will be

q = 1 - p

q = 1 - 0.62392

q = 0.37608

Generally, the probability of getting cars that are not speeding will be

G = q⁵

G = 0.37608⁵

G = 0.007523

The number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten will be

[tex]\rm E(X) = \dfrac{1}{p}\\\\E(X) = \dfrac{1}{0.62392}\\\\E(X) = 1.6027[/tex]

The standard deviation will be

[tex]\sigma = \sqrt{\dfrac{1-p}{p}}\\\\\\\sigma = \sqrt{\dfrac{1-0.63292}{0.62392}}\\\\\\\sigma = 0.9829[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Answer:

-10

Step-by-step explanation:

i

Answer:

The range of C is :60≤C≤300

Now I need all your money like you said you would give me :)

Step-by-step explanation:

And i need brainliest

Answer:

2/3

Step-by-step explanation:

1--3/2-8

=4/6

=2/3

Answer:

F (x) = (x + 5)^3(x - 9)(x + 1)  = 5

Step-by-step explanation:

Hope this helps! :)

Answer:

3

Step-by-step explanation:

edge

Answer:

KJslDKSLADJKLJALKJDLKDLKAsdmjklLkLKLKSLKSLKSKLSJSSJLKJLAJDJLDKJDLSJDLSAJALDLKASJLAS

Step-by-step explanation:

Answer:

a

   [tex]P(X = 4 ) = 0.1876[/tex]

b

   [tex]P(X \le 4)  =  0.8358[/tex]

Step-by-step explanation:

From the question we are told that

The proportion that has outstanding balance is p = 0.20

The sample size is n = 15

Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card

[tex]X \ \ ~ Bin (n , p )[/tex]

Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as

[tex]P(X = 4 ) = ^nC_4 * p^4 * (1 - p)^{n-4}[/tex]

=> [tex]P(X = 4 ) = ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}[/tex]

Here C stand for combination

=> [tex]P(X = 4 ) = 0.1876[/tex]

Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as

[tex]P(X \le 4) = [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}][/tex]

=>   [tex]P(X \le 4)  =  0.8358[/tex]

Answer:%80 or 0.8

Step-by-step explanation:

Total = 7.50

Part of 7.50 is 6

The percentage of 6 in 7.50 is  6*100/7.50

0.8* 100

80%

Or you could do it this way:

6/7.5

x10 on both

60/75

by 5 times

12/15

4/5

=0.8

Answer:

x=-2

Step-by-step explanation:

Answer:

b = ±10

or

b = -10, 10

Step-by-step explanation:

Step 1: Write equation

b² = 100

Step 2: Solve for b

Step 3: Check

Plug in x to verify it's a solution.

(-10)² = 100

(10)² = 100

Answer:

b=-10 or b=10

Step-by-step explanation:

They would both work because negative times negative is also positive so it would also work.

*someone deleted my answer to this question saying it was incorrect but it was correct :/

Answer:

so

Step-by-step explanation:

the first goes 3rd

the 2nd goes 1

3rd goes 4

Triangle ABC is rotated 180 degrees around point E, therefore, A maps to D, B maps to C, and C maps to B.

===================================================

Explanation:

If you were to rotate triangle ABC 180 degrees around point E, then it would line up perfectly with triangle DCB

Note how in the sequence ABC we have A first, B second, then C third

Then for the sequence DCB we have D first, C second, then B third

This order matters so we can pair up the points properly

Answer:

x= 13

Step-by-step explanation:

(X+2) 3 = (x-4) 5

distribute on both sides: 3x + 6 = 5x - 20

add 20 to both sides: 3x + 26 = 5x

subtract 3x from both sides: 26 = 2x

divide both sides by two: 13 = x

Answer:

x=13

Step-by-step explanation:

I hope this helps you out and if your feeling generous plz mark brainliest it helps me a lot thank you:)

Answer:

Step-by-step explanation:

Plug in the x

f(2) = 3(-4)-6

2 = -12 - 6

2 = -18

Answer:

Randomized design

Step-by-step explanation:

The researchers used a randomized design for this study. While designing a research experiment, we use a randomized design to study the effect that a major factor or a primary factor would have without having the need to use any unrelated or unnecessary variable. The question tells us that ten public buildings that have a coke machine and a Pepsi machine were selected for the study.

Answer:

no

Step-by-step explanation:

most probably a linear function. y = mx +b. what you have to notice here is the X, if the X has no exponents on it, then it is usually linear, but if the X is X squared or higher then it would not be a linear function.

The total distance travelled by the first and second hockey pucks before hitting the ground is 110 feet and 150 feet, respectively.

To learn more about distance, visit :

https://brainly.com/question/15172156

#SPJ1

Answer:

This makes no sense as you dont say what type of triangle it is

Step-by-step explanation:

If its a equallateral its x = 89/7

Answer:

1. what I the square root of negative 4

2. one is minusing the square root of 4