A local traffic light is set so that it cycles between 30 seconds of red and 30 seconds of green. What is the probability of randomly hitting a red light more than 25 times in n = 40 trips through the intersection?

Answer:

D) 0.8

Step-by-step explanation:

To get this answer, divid 4 by 5! 4 divided by 5 is equivalent to 0.8!

Answer:

t = 11/4

Step-by-step explanation:

Step 1: Write out equation

4t - 2 = 9

Step 2: Add 2 on both sides

4t = 11

Step 3: Divide both sides by 4

t = 11/4

Answer:

[tex]t = 2\frac{3}{4} \\\\t = 11/4[/tex]

Step-by-step explanation:

[tex]4t -2 =9[/tex]

Collect like terms and simplify

[tex]4t=9+2\\\\4t =11[/tex]

Divide both sides of the equation by 4

[tex]\frac{4t}{4} = \frac{11}{4} \\\\t = \frac{11}{4} \\\\11\div 4 =2 \:remainder\: 3\\\\= 2\frac{3}{4}[/tex]

Answer:

y=4/3x-1

Step-by-step explanation:

Answer:

Yes.

because yea

Answer:

[tex]p=3[/tex]

Step-by-step explanation:

[tex]8p-4p=2p+6[/tex]

Solve the left side:

[tex]4p=2p+6[/tex]

Subtract 2p from both sides:

[tex]4p-2p=2p+6-2p[/tex]

[tex]2p=6[/tex]

Divide both sides by 2:

[tex]\frac{2p}{2}=\frac{6}{2}[/tex]

[tex]p=3[/tex]

Answer:

p=3

Step-by-step explanation:

8p-4p=2p+6

4p=2P+6

4p-2p=6

2p=6

P=6/2

p=3 ans

Answer:

x= 41

Step-by-step explanation:

3x-43= 80 is the equation since they are alternate interior angles.

Step 1- Add 43 to both sides.

3x-43= 80

  +43 +43

Step 2- Divide both sides by 3.

3x= 123

3      3

x= 41

The given angles are the alternate interior angles formed by a common

transversal to two parallel lines.

The value of x for which line l is parallel to line m is c. 41°.

Reasons:

When line l is parallel to line line m, we have;

The alternate interior angles will be equal

Therefore;

(3·x - 43)° = 80°

Which gives;

[tex]x = \dfrac{80^{\circ} + 43^{\circ} }{3} =41^{\circ}[/tex]

Learn more here:

https://brainly.com/question/16987641

Answer:

A

Step-by-step explanation:

Answer:

x=28

Step-by-step explanation:

180-42=138 since a triangle adds up to 180

2x+10+3x-12=138 then combine like terms

5x-2=138 add 2 to both sides

5x=140 divide each side by 5

x=28

Answer:

The first blank is g=5 Barney played 6 games of lazer tag

Step-by-step explanation:

7.25g+12.50=48.75

First subtract 12.50 from 48.75

7.25g=36.25

then divide 7.25 from both side

g=5

thats how many games he played that cost 7.25 and he played one game that cost 12.50 so he played 6 games  

Answer:

2/5 so 4/10

THE ANSWER IS A

Answer:

4/10

Step-by-step explanation:

get a common denominator (which is 10) then subtract

Answer: 2.46

Step-by-step explanation:

Formula for x-score is given by :-

[tex]Z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

, where [tex]\overline{x}[/tex] = Sample mean , [tex]\mu[/tex]= population mean, [tex]\sigma[/tex] = population standard deviation, n= sample size.

As per given , n=10

[tex]\mu[/tex]= $29,056

[tex]\sigma[/tex] = $3,339

[tex]\overline{x}[/tex] =  $31,650

Then,

[tex]z=\dfrac{ 31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766017}}\\\\=\dfrac{2594}{1055.88451073}=2.45670807142\approx 2.46[/tex]

Hence, the z-score = 2.46

square root 38

Step-by-step explanation:

imput square root 36 plus 2

Answer: It travels 100 miles

Step-by-step explanation:

If it drives 50 miles an hour it would drive 100 miles an hour if it were driving for 2 hours.

Based on the speed of the car and the amount of time it was travelling, the car travelled 100 miles in 2 hours.

The distance that the car travelled can be calculated by:

Distance = Speed x Time

Speed = 50 miles per hour

Time = 2 hours

Distance = 50 x 2

= 100 miles

In conclusion, the car would have gone 100 miles.

Find out more at https://brainly.com/question/22277265.

Answer:

368.08

So I turn the numbers into fractions so 344% would be 344/100 because percentages are out of 100. Since it is 344% OF 107, you'd put 107 on the bottom of the fraction and the answer will go on top. I multiply the IS with the OF (IS is the top number and OF is the bottom) so you'd multiply 107x344 to get 36808. Since 344 is a percent (out of 100) you have to do divide the answer by 100 to get 368.08

I hope that helps!

Answer:

7

Step-by-step explanation:

Just put it

Answer:

7

Step-by-step explanation:

Did it in I ready

Answer:

24 ft²

Step-by-step explanation:

find the length of the base of each triangle through a² + b² = c², c being hypotenuse.

after finding the length of each individual base, use A= 1/2bh (multiply base and height and then divide by 2) to calculate area of each triangle. then add and round. hope this helps

Answer:

(17, -7)

Step-by-step explanation:

you add 9 to the x-value, and subtract 5 from the y-value. If you look closely, you'll see that that's what happens for the first coordinate too. -1+9=8. 3-5=-2. I hope that was helpful for you!

Step-by-step explanation:

[tex] \frac{a}{b} = \frac{5}{4} \: \: \: \: \: \: \frac{b}{c} = \frac{3}{2} [/tex]

[tex] \frac{a}{b} \times \frac{b}{c} = \frac{5}{4} \times \frac{3}{2} [/tex]

[tex] \frac{a}{c} = \frac{15}{8} [/tex]

[tex] \frac{c}{a} = \frac{8}{15} [/tex]

Answer:

[tex]\huge\boxed{\sf \frac{a}{c} = \frac{15}{8} \ \ OR \ \frac{c}{a}= \frac{8}{15} }[/tex]

Step-by-step explanation:

[tex]\sf Given \ that\\\\\frac{a}{b} = \frac{5}{4} \\\\\frac{b}{c} = \frac{3} {2}\\\\Multiplying \ both \ of \ the \ above \ equations\\\\\frac{a}{b} * \frac{b}{c} = \frac{5}{4} * \frac{3}{2} \\\\\frac{a}{c} = \frac{5*3}{4*2} \\\\\bold{\frac{a}{c} = \frac{15}{8} }[/tex]

Hope this helped!

Answer:

y=mx+b

Step-by-step explanation:

Answer:

X=30

Step-by-step explanation:

Answer:

[tex]x=-6[/tex]

Step-by-step explanation:

[tex]8x-3(2x-4) = 3(x-6)[/tex]

[tex]8x-6x+12 = 3x-18[/tex]

[tex]2x+12 = 3x-18[/tex]

[tex]2x=3x-30[/tex]

[tex]5x= -30[/tex] Divide by 5 next

[tex]x=-6[/tex]

Hope this helps, have a great day:)

Answer:

Step-by-step explanation:

1)expand out the bracket

-15y+6=21

2) get the y to one side

6=21+15y

3) solve

15=15y

1=y

Answer:

Y= -1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(−5y+2)=21

(3)(−5y)+(3)(2)=21(Distribute)

−15y+6=21

Step 2: Subtract 6 from both sides.

−15y+6−6=21−6

−15y=15

Step 3: Divide both sides by -15.

−15y −15 = 15 −15

Y= -1

Answer/Step-by-step explanation:

Recall: the ratio of the areas of two similar figures = the square of the ratio of the corresponding sides of the similar figures.

This will give us the scale factor.

The scale factor indicates how many times larger the second triangle is than the area of the first.

Let's find how many times larger is the area of the second triangle is to the first:

1. ∆ G And ∆ F

[tex] \frac{Area_{F}}{Area_{G}} = \frac{side_{F}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{F}}{Area_{G}} = \frac{6^2}{3^2} [/tex]

[tex] = \frac{36}{9} = 4 [/tex]

∆F is 4 times larger than ∆G

2. ∆ G And ∆ B

[tex] \frac{Area_{B}}{Area_{G}} = \frac{side_{B}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{B}}{Area_{G}} = \frac{2^2}{4^2} [/tex]

[tex] = \frac{4}{16} = 0.25 [/tex]

∆B is 0.25 times ∆G

3. ∆ B And ∆ F

[tex] \frac{Area_{G}}{Area_{B}} = \frac{side_{F}^2}{side_{B}^2} [/tex]

[tex] \frac{Area_{F}}{Area_{B}} = \frac{8^2}{2^2} [/tex]

[tex] = \frac{64}{4} = 4 [/tex]

∆F is 16 times larger than ∆B

4. ∆ F And ∆ H

[tex] \frac{Area_{H}}{Area_{F}} = \frac{side_{H}^2}{side_{F}^2}} [/tex]

[tex] \frac{Area_{H}}{Area_{F}} = \frac{2^2}{6^2} [/tex]

[tex] = \frac{4}{36} = \frac{1}{9} [/tex]

∆H is ⅑ times ∆F

5. ∆ G And ∆ H

[tex] \frac{Area_{H}}{Area_{G}} = \frac{side_{H}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{H}}{Area_{G}} = \frac{2^2}{3^2} [/tex]

[tex] = \frac{4}{9} [/tex]

∆G is 4/9 times ∆G

6. ∆ H And ∆ B

[tex] \frac{Area_{B}}{Area_{H}} = \frac{side_{B}^2}{side_{H}^2} [/tex]

[tex] \frac{Area_{B}}{Area_{H}} = \frac{1.5^2}{2^2} [/tex]

[tex] = \frac{2.25}{4} = 0.6 [/tex] (nearest tenth)

∆B is 0.6 times ∆H

Answer:

53

Step-by-step explanation:

Answer:

there is the answer good luck

Answer:

Step-by-step explanation:

K(0 , 4)

Midpoint M (3 , 3)

Let Point  L(x₂ , y₂)

[tex]Midpoint= (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\\\\\\ (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}) = (3 , 3)\\\\\\ (\frac{0+x_{2}}{2},\frac{4+y_{2}}{2}) = ( 3 , 3)\\\\\\[/tex]

Compare x and y coordinates

[tex]\frac{x_{2}}{2}=3 ; \frac{4+y_{2}}{2} = 3[/tex]

Cross multiply,

x₂ = 3*2     ; 4 + y₂ = 3*2

x₂ = 6        ;  4+ y₂ = 6

                         y₂ = 6- 4

                          y₂ = 2

L(6 , 2)

Answer:

6,2

Step-by-step explanation:

I don't think you want to know how I did it, it's pretty boring for most people except me

Answer:

28

Step-by-step explanation:

3(-2)(-4)+4=?

(-6)(-4)+4=?

24+4=-28

Answer: 2(x+2i)(x-2i)(2x-3)

Step-by-step explanation:

Answer:

I got this answer.

Is it correct

Answer:

f(x)=x

Step-by-step explanation:

that's keeping it simple... ;-)