Cars A and B leave the same place and travel in the same direction along a straight road. Car A travels at 60 km/h and car B travels at 72 km/h. After how long will they be at 8km apart?

Using the binomial distribution, it is found that:

a) The mean is of 0.36 and the standard deviation is of 0.58.

b) There is a 0.0036 = 0.36% probability that there are exactly three universal donors.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

The values of the parameters are given as follows:

n = 6, p = 0.06.

Item a:

The mean is of 0.36 and the standard deviation is of 0.58.

Item b:

The probability is P(X = 3), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{6,3}.(0.06)^{3}.(0.94)^{3} = 0.0036[/tex]

There is a 0.0036 = 0.36% probability that there are exactly three universal donors.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

x=22/9

Step-by-step explanation:

4(3√(x-2))+1=9

4(3√(x-2))=8

3√(x-2)=2

√(x-2)=2/3

x-2=4/9

x=4/9+2

x=4/9+18/9

x=22/9

Therefore, the solution is x=22/9

Answer:

1

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

i did the math yeah

9514 1404 393

Answer:

  200 cm

Step-by-step explanation:

1 meter is 100 cm, so 6 meters is 600 cm. Each piece is 1/3 of that, so is ...

  (600 cm)/3 = 200 cm . . . length of each piece

Answer:

<QPM and <QPR

Step-by-step explanation:

adjacent angles have a common vertex and side, and those are the only two that have a common side

hope this helps :)

if it does, can I get brainliest, please??!

Answer:

shawty i think we need more info to solve this-

Step-by-step explanation:

Answer:

-3/1

Step-by-step explanation:

The rise is 1 and the the run is 3 but the line goes from top left to top right so its negative.

Answer:

C. 62

Step-by-step explanation:

All angles in a triangle are equivalent to 180. First find angle C. Which is 64. then subtract that by 180, which is 116. after that we combine like terms then solve for X. Combine like terms: 5x-9=116 X=25 We plug X into angle's A equation. And you get 62. hope this helps :)

Answer:

ESTEBAN IS FOKING BROKE

Step-by-step explanation:

Answer:

a = 72 mm is the answer.

Step-by-step explanation:

a = ?

b = 21 mm

c = 75 mm

According to the Pythagoras theorem

a² + b² = c²

a² + 21² = 75²

a² + 441 = 5625

a² = 5625 - 441

a² = 5184

a = 72 mm

∴ a = 72 mm is the length of the missing leg.

Answer:

Step-by-step explanation:

48 is preimeter

96 is the area

Make me brainliest

9514 1404 393

Answer:

  117°

Step-by-step explanation:

We assume you want to report your bearing as an angle measured CW from North. For conventional angles greater than 90°, it will be ...

  450° -angle = 450° -333° = 117°

The bearing of the ship is 117°.

Answer:

13

Step-by-step explanation:

50 multiplied by .26

Answer:

27

Step-by-step explanation:

45 x 45 - 36 x 36 = 729   the square root of 729 is 27

Answer:

a = 27 m is the answer.

Step-by-step explanation:

a = ?

b = 36 m

c = 45 m

According to the Pythagoras theorem,

a² + b² = c²

a² + 36² = 45²

a² + 1296 = 2025

a² = 2025 - 1296

a² = 729

a = 27 m

∴ a = 27 m is the length of the missing leg.

Answer:

m=1, m= -3

t=3, t=2

p= -0.4, p= -2

a= 3, a= -8

x=0, x= -2.5

Answer:

I hope this helps a little bit.

It Is Not Fake

It Got Answers Promise

Answer:

exposed is another word for endangered

Answer:

angle klj and angle poq :)

Step-by-step explanation:

Answer:

Multiplying each side by 5⇒ 15: 55

Multiplying each side by 10⇒30:110

Step-by-step explanation:

Answer:  3:11= 30:110 and 6:22

Step-by-step explanation:

30:110 is multipled by 10 and 6:22 is multiplied by 2!

It can be divided or multiplied by whatever number you want! If you want to divide it by one number, make sure that it will be without the remainder because it’s equivalent! I hope I helped you!

Answer:

the median is the middle number find the middle number of these and there's your answer

Answer:

1420 is the Median

Step-by-step explanation:

Answer:

I believe it is 12

Step-by-step explanation:

but I am not 100 percent sure

Answer:

$25.35

Step-by-step explanation:

You just take off the percentage from the original price to get your final answer.

Hope this helps c:

Answer:

x=6.5

Step-by-step explanation:

I got the x- intercept as 6.5 because I found the x value when y equals 0.

0=2+2x-15

Next, I added 2+-15 and got -13.

0=2x-13

Then, I added 13 to both sides so that I could have x by itself.

13=2x

Next, I divided 2 on both sides so I could find the value of x.

6.5= x

In conclusion, the x- intercept of f(x)=2+2x-15 is 6.5.  

Answer:

[tex]7\frac{3}{8}[/tex] pounds

Step-by-step explanation:

First, convert the fractions into improper fractions, and make them have the same denominator.

First package: [tex]3\frac{3}{4} =\frac{15}{4}=\frac{30}{8}[/tex]

Second package: [tex]1\frac{1}{8} =\frac{9}{8}[/tex]

Third package: [tex]2\frac{1}{2}=\frac{5}{2}=\frac{20}{8}[/tex]

Notice that all the fractions have the same denominator, making it easy to add up. Now we add up the fractions.

[tex]\frac{30}{8}+\frac{9}{8}+\frac{20}{8}=\frac{59}{8} =7\frac{3}{8}[/tex]

Answer:

b) $41.85

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 45 × 7/100

Discount = 45 x 0.07

You save = $3.15

Final Price = Original Price - Discount

Final Price = 45 - 3.15

Final Price = $41.85

hope this helps and is right. p.s. i really need brainliest :)

Answer:

Step-by-step explanation:

that would be A

Answer:

1=105

3=105

4=75

5=105

6=75

7=105

8=75

Step-by-step explanation:

angles 1 and 2 are supplementary, this means that the sum of the two angles equals 180(they make a straight line).

This means that the cross of the two lines(p and m) will cause angles 1 and 3 to be the same (2 and 4 will also be the same).

lines m and n are parallel, which means that angles 1,2,3, and 4 will be that same as their corresponding angle in angles 5,6,7, and 8.

I hope that made sense.

Answer:

7 and -6

Step-by-step explanation:

Given

Factors: (x - 7) and (x + 6)

Required

Determine the zeros

To do this, we simply equate the factors to 0

[tex]x - 7 = 0[/tex]

[tex]x = 7[/tex]

[tex]x + 6 = 0[/tex]

[tex]x = -6[/tex]

So, the zeros are -7 and 6