Andrew drives through 5 intersections with stoplights on his way to work. He
records that he is stopped by a red light in 2 of the 5 intersections. If he uses
this as his general probability of getting stopped at a red light on his way to or
from work, how many times can he expect to be stopped at a red light over the
next 40 times he drives through an intersection on his route?
Andrew should expect to be stopped
times.

Answer:

18

Step-by-step explanation:

it raise the score by 25 an hour

Answer:

the side that is opposite of the right angle is called the hypotenuse

Step-by-step explanation:

enjoy this cat

Answer:

6^6

Step-by-step explanation:

Divide the terms with the same base by subtracting their exponents.

6^10 - 4 = 6^6

Answer:

6^6, which equals 46656

Step-by-step explanation:

So when dividing things with exponents in them, you subtract the exponents. With this, you would do:

6^10/6^4 = 6^10 - 6^4 ---> 6^6

The answer would be 6^6, which equals 46656

Answer:

(b × h) ÷ 2

Step-by-step explanation:

Answer:

3rd one or infinite

Step-by-step explanation:

Answer:

192 cm^3

Step-by-step explanation:

base area = side^2 = 8^2 = 64 cm^2

V = (base area x height)/3 = (64 x 9)/3 = 192 cm^3

Answer:

1/3

Step-by-step explanation:

Answer:

look at the picture i have sent

In the right ABC above, the length of the side BC is 4.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

Given;

Side BA= [tex]\sqrt{11}[/tex]

Side AC= [tex]\sqrt{5}[/tex]

BC^2=BA^2+AC^2

BC^2= ([tex]\sqrt{11}[/tex])^2 +([tex]\sqrt{5}[/tex])^2

BC^2= 11+5

BC^2= 16

BC= 4

Therefore, the Pythagoras theorem gives answer 4

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Answer:1

Step-by-step explanation:

Both are whole numbers,so 1 is an answer,

18/1=18

21/1=21

Answer:

3

Step-by-step explanation:

3 * 6 = 18

3 * 7 = 21

Answer:

4

Step-by-step explanation:

i did the math but i did the math but i dont wanna type it all out  

Answer:

Solution given:

perpendicular distance =height [p]=40m

base or horizontal distance [b]=198m

Hypotenuse or zip line [h]=?

Now

By using Pythagoras law

h²=p²+b²

h²=40²+198²

h=√40804

h=202m

So the Zip line is 202m long.

Answer:

Step-by-step explanation:

Answer:

16 books

Step-by-step explanation:

100÷25=4

4×4=16

Answer:

negative square root will result in zero x-intercepts

Step-by-step explanation:

there are no x-intercepts because if you use the quadratic formula on the equation you get a negative square root which results in zero x-intercepts

in this case, a=-1, b=4, c=-12

[-4±√4² - 4(-1)(-12)] / 2(-1)

= [-4 ± √16-48] / -2

= -4 ± √-32 / -2

Answer:

I'm going to say 24. I'm 97% sure I'm correct

Answer:

yes

Step-by-step explanation:

Answer:

nice.

Step-by-step explanation:

₊˚ ꒰ mei ꒱ ‧₊˚

The value of x', the image point with respect to an axis rotated 60 is 3/2 + 4√3

The point is given as:

(x, y) = (3, 8)

The angle of rotation is given as:

θ = 60

The image of rotation is calculated using:

x = x'cosθ - y'sinθ

y = x'sinθ + y'cosθ

So, we have:

3 = x'cos(60) - y'sin(60)

8 = x'sin(60) + y'cos(60)

Evaluate cos(60) and sin(60)

3 = 1/2x' - y'√3/2

8 = x'√3/2 + 1/2y'

Multiply the second equation by √3

8√3 = 3/2x' + √3/2y'

Add this equation and the first equation to eliminate y'

3 + 8√3 = 1/2x' + 3/2x'

Evaluate the sum

3 + 8√3 = 2x'

Divide through by 2

x' = 3/2 + 4√3

Hence, the value of x' is 3/2 + 4√3

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Answer:

You said                          K = L M N

Divide each side of

the equation by (L N),

and then it says              K / ( L N )  =  M .

Step-by-step explanation:

Answer:

A :)

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

[tex]\sqrt{10}[/tex]/10

Step-by-step explanation:

cos is adjacent side/hypotenuse

you need to find the hypotenuse

Let h = length of hypotenuse

[tex]6^{2} + 18^{2} = h^{2}[/tex]

[tex]h^{2}[/tex] = 36 + 324 = 360

h = [tex]\sqrt{360}[/tex] = 6[tex]\sqrt{10}[/tex]

cos (theta) = 6/6[tex]\sqrt{10}[/tex] = 1/[tex]\sqrt{10}[/tex] = [tex]\sqrt{10}[/tex]/10

Answer:

Angle GHM and Angle LKJ

Step-by-step explanation:

They are both marked the same with one line.

Answer:

Step-by-step explanation:

The answer is c

Answer:

C

Step-by-step explanation:

Answer:

I believe its (- 2, 2 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of B by the scale factor 2, that is

B(- 1, 1 ) → B'(2(- 1), 2(1) ) → B'(- 2, 2 )

Answer:

lol i need help on that 2

Step-by-step explanation:

Answer:

The range is {5,2,1,10}

Step-by-step explanation:

If the domain is {-2,-1,0,1,3} then plug those values in for x in the equation of f(x). To start you would get f(x)=(-2)^2+1, which is 5, and then keep solving those respective equations.

Answer:

6.5 I think I could be wrong???????

Answer:

There are 36 cards

Step-by-step explanation:

let blue be B and red be R

B:R =5:7

B/R = 5/7

there are 15 blue cards...

15/R = 5/7

make R subject of the formula...

R = (15×7)/5

R = 21

there are 21 red cards and 15 blue cards

Total number of cards = red cards + blue cards

= 21 + 15

= 36 cards