A mouse is moving through a maze and must make four turns where it can go either left or
right. The mouse will escape the maze if it makes three lefts and one right, in any order.
(a) To the right, draw a tree diagram
of all possible routes the mouse
could take.
(b) Using your tree diagram, create
an organized list of the routes. For
example, a route of right, left, left,
right could be listed as RLLR.
(C) What is the probability the mouse
escapes the maze if all turns are
randomly made?

Answer:

Joint probability table :

_____ A _____ A'

_ Y_ 0.45 ___ 0.30

_ Y'_ 0.05___ 0.20

No

No

Step-by-step explanation:

Given :

Sample, size n = 500

A = driver is under the influence of alcohol :

Y = driver is less than 30 years old

P(A) = 275 / 500 = 0.55

P(Y) = 375 / 500 = 0.75

P(AnY) = 225 / 500 = 0.45

P(YnA') = (1 - 225/375)*0.75 = 0.4 * 0.75 = 0.30

Joint probability table :

_____ A _____ A'

_ Y_ 0.45 ___ 0.30

_ Y'_ 0.05___ 0.20

To determine if it is mutually exclusive : P(AnY) = 0

P(AnY) = 0.45 ; hence, it is not mutually exclusive

For A and Y to be independent ; P(A|Y) = P(A) ;

P(A|Y) = P(AnY) / P(Y)

P(A|Y) = 0.45 / 0.75 = 0.6

Hence, A and Y are not independent.

Answer:

p = 8h

Step-by-step explanation:

for example, 16= 8 times 2 or 24 = 8 times 3

Answer:

p = 8h

Step-by-step explanation:

Divide each amount he earns by the number of hours he works.

When he earns $8, he works 1 hour.

When he earns $16, he works 2 hours.

When he earns $24, he works 3 hours.

8/1 = 8

16/2 = 8

24/3 = 8

For any amount that he earns, it is always 8 times the number of hours he works.

Answer: p = 8h

Answer:

-7 is bigger

-9 is bigger

-6 is bigger

7 is bigger

I think.....

-9,-8,-7,-6,-4

-9,-7,-6,4,7

-2-1,0,4,9

-8,-2,3,5,8 ?

I guess I didn't understand the question

Answer:

ok so 8/10 I think it is 4/5

and 6/10 I think is 3/5

The number of oranges in the shipment can the manager predict weighing 5 ounces would be; 56.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inversely proportional, can be built to find the desired measures in the problem.

Given that a grocery store receives a shipment of 700 oranges the manager randomly selects 25 oranges to weigh in that sample 2 oranges weigh 5 ounces.

Now set up a proportion;

2/25 = (x)700

Cross multiplication;

700(2)= 25(x)

1400/25=x

x=56

Therefore, the number of oranges in the shipment can the manager predicts weighing 5 ounces would be; 56.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ2

Answer:

5

Step-by-step explanation:

5, 10, 15, 20, 25

5, 10, 15, 20, 25

5, 10, 15, 20, 25

Hope this helps!!!

Have a great day!!!! :)

Answer:

5

Step-by-step explanation:

factors of 20:

1, 2, 4, 5, 10, 20

factors of 10:

1, 2, 5, 10

factors of 25:

1, 5, 25

as you can see from the factor list of each number, 5 is the higest common factor.

Answer: it is -97

Step-by-step explanation:

because you break it down

-1-81-16+1 ( and the -- turns into a + )

( get rid of the + )

Answer:

You have to 300-112.4 which equals 187.6

and that is your answer!

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

She bet 9 each time, you can find this by doing 27 ÷ 3 :)

Answer:

she bet $9 each time and x is the number of bets

Step-by-step explanation:

27/3=9

$9 per bet

9x

x=number of bets

Answer:

the answer is C

Step-by-step explanation:

Answer:

i think it's -2, -14 quardrant 2

Step-by-step explanation:

Answer:

60% of the payment of food

Step-by-step explanation:

he paid $5 for his food

and $3 for the tip

3/5 = 6/10 = 60%

60% of the original payment

9514 1404 393

Answer:

  10

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. That is, point O is the midpoint of AC. If AO = 5, then OC = 5 and AC = 5+5 = 10.

Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

5. angle FDE = 180-90-63 = 27°

 arc FE = 2×27 = 54°

6. arc GJ = 360-68-31-115 = 146°

 angle GHJ = 146/2 = 73°

7. angle GIJ = 146/2 = 73°

8. arc DAB = 2×101 = 202°

 arc BCD = 360°-202 = 158°

 angle A = 158/2 = 79°

 angle B = 360-79-110-68 = 112°

10. see picture

5) The sum of angle in the triangle DEF is 180 degrees

mFE = <D

Recall that <D+<E+<F = 180⁰

<D+63+90 = 180

<D = 180-153

<D = 27 degrees

Hence the measure of arc FE is 27degrees

6) For this circle geometry, we will use the theorem

The sum of Opposite side of a cyclic quadrilateral is 180 degrees.

A + C = 180

m<A + 101 = 180

m<A = 180-101

m<A = 79degrees

Similarly

B + D = 180

m<B + 68 = 180

m<B = 180-68

m<B = 112degrees

7) The sum of angle in a circle is 360, hence;

arcGJ+68+31+115 = 36p

arcGJ = 360 - 214

arcGJ = 146⁰

Since the angle at the centre is twice angle at the circumference, then;

<GHJ = 1/2 arcGJ

<GHJ = 1/2(146)

<GHJ = 73⁰

<GHJ = <GIJ = 73⁰ (angle in the same segment of the circle are equal)

8) Recall that the sum of Opposite side of a cyclic quadrilateral is 180 degrees.

P + R = 180

57 + <R = 180

m<R = 180-57

m<R = 123degrees

Similarly, m<Q+m<S = 180⁰

Since the triangle in a semi circle is a right angled triangle, hence m<Q = 90 degrees (triangle PQR is a right angled triangle)

m<S = 180 - 90

m<S = 90 degrees

Learn more here: brainly.com/questions/11325504

Answer:

The answer is below

Step-by-step explanation:

Let B₁ represent box 1, B₂ represent box 2, E₁ represent the event of selecting box 1, E₂ represent the event of selecting box 2 and R represent the event of selecting a red ball.

Given that:

Probability of selecting box 2 P(E₂) = 2/3, Probability of selecting box 1 = P(E₁) = 1/3

Probability of selecting red ball from box 1 = P(R | E₁) = 4/6 [4 red balls out of 4 red, 2 green]

Probability of selecting red ball from box 2 = P(R | E₂) = 2/6 [2 red balls out of 2 red, 4 green]

a)

Given the ball is red, the probability it was selected from the first box is:

[tex]P(E_1|R)=\frac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)} =\frac{2/3*1/3}{(2/3*1/3)+(1/3*2/3))} =\frac{1}{2}[/tex]

b)

Given the ball is red, the probability it was selected from the second box is:

[tex]P(E_2|R)=\frac{P(R|E_2)P(E_1)}{P(R|E_2)P(E_2)+P(R|E_1)P(E_1)} =\frac{1/3*2/3}{(1/3*2/3)+(2/3*1/3))} =\frac{1}{2}[/tex]

c)

We can see that both probabilities are equal. Although we have more red balls in box 1 (twice as much) than in box 2 but the probability of selecting from box 2 (is twice as much) than from selecting from box 1.

The probability that the ball selected is red and it is selected from the first box is 1/2 and the probability that the ball selected is red and it is selected from the second box is 1/2.

Given :

a) The probability that the ball selected is red and it is selected from the first box is:

[tex]P(E_1|R)=\dfrac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]

[tex]P(E_1|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]

[tex]P(E_1|R)=\dfrac{1}{2}[/tex]

b) The probability that the ball selected is red and it is selected from the second box is:

[tex]P(E_2|R)=\dfrac{P(R|E_2)P(E_2)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]

[tex]P(E_2|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]

[tex]P(E_2|R)=\dfrac{1}{2}[/tex]

c) The probability that the ball selected is red and it is selected from the first box and the probability that the ball selected is red and it is selected from the second box is the same.

For more information, refer to the link given below:

https://brainly.com/question/795909

Answer:

Daytime people.

Step-by-step explanation:

Evening people have 125.

Daytine people have 140.

Answer:

B

Step-by-step explanation:

sorry if I am wrong

but you got what it takes to do it ⭐⭐⭐⭐⭐

Answer:

uhhh i got 113.09, so im assuming its 113.04

This is strange there's some sort of mistake with I-ready

Step-by-step explanation:

Answer:

1.4

Step-by-step explanation:

Answer:

35°

Step-by-step explanation:

Complementary angles has a sum of 90°

m<A + m<B = 90°

2x + 23 + 4x -29 = 90° add like terms

6x - 6 = 90° add 6 to both sides

6x = 96 divide both sides by 6

x = 16 now replace the x in m<B = 4x - 29 with 16

4×16 - 29 = 35

Answer:

[tex]\huge\boxed{\sf Area = 12.8 cm\²}[/tex]

Step-by-step explanation:

Let,

The length of rectangle = x

The width of rectangle = y

The length of square = x - 4

The width of square = y + 5

Area of rectangle = xy

Area of square = xy + 40

Condition No. 1:

Area of Square = Length of square * Width of square

xy + 40 = (x - 4)(y - 5)

xy + 40 = xy - 5x - 4y + 20

- 5x - 4y = 40 - 20

- 5x - 4y = 20

5x + 4y = -20 ------------------(1)

Condition No. 2:

We know that:

Length of square = Width of square

x - 4 = y + 5

Add 4 to both sides

x = y + 5 + 4

x = y + 9 ---------------------------(2)

Solution:

Put Eq. (2) in (1)

5 (y + 9) + 4y = -20

5y + 45 + 4y = -20

9y + 45 = -20

9y = -20-45

y = -65 / 9

Now, Put the value of y in Eq. (2)

x = (-65 / 9) + 9

x = (-65 + 81) / 9

x = 16 / 9 cm

Now,

Area of rectangle = xy

Area = ( -65 / 9 ) * ( 16 / 9 )

Area = (-65*16) / (9*9)

Area = -1040/81

Area = 12.8 cm² (Neglecting -ve sign)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

360

Step-by-step explanation:

360m^2

they are supplemen angles

Answer:

[tex]26 {x}^{6} - 18 {x}^{2} {y}^{4} - 27 {x}^{4} {y}^{2} [/tex]

Step-by-step explanation:

click the link for alot more explanation, I'm tried typing

https://photomath.net/s/l5LVxj

Answer:

B

Step-by-step explanation:

where is the question I dont see it

Answer:

2,995 or 35,940(?)

Step-by-step explanation:

I don't exactly remember how to do this so, I'll show you two different ways I solved this

Use the formula I=P*r*t

I=Interest

P=Principal

r=rate

t=time

To solve this you'll have to...

The principal is 29,950, the rate is 5% but it'll become a decimal which is 0.05, and the time is 2

Put it into the formula form 29,950*0.05*2= 2,995 in interest

Or...

You'll use the same formula, but this time multiply 0.05 by 12 since there are 12 months in one year which is 0.6, so...

29,950*0.6*2=35,940 in interest

I hope one works!

Answer:

hmm just do your best and I'm sure your ace it :D

Answer:

234 students were awarded more Kona Ice.

Step-by-step explanation:

This is a 2 step equation.

You take the 43 students who were awarded candy bars and the 5 who were awarded water bottles and add them.

43+5=48

Then you take the number of students who were awarded Kona Ice 282 and subtract your total of 48.

282-48=234

Answer:

≈ 13.33 years

Step-by-step explanation:

The population of Frisco ISD after t years is given by the following equation:

[tex]y(t) = 46000(1.06)^{t}[/tex]

How many years will pass until the population of Frisco ISD is at 100,000 students?

This is t for which [tex]y(t) = 100000[/tex]. So

[tex]y(t) = 46000(1.06)^{t}[/tex]

[tex]46000(1.06)^{t} = 100000[/tex]

[tex](1.06)^{t} = \frac{100000}{46000}[/tex]

[tex]\log{(1.06)^{t}} = \log{\frac{100000}{46000}}[/tex]

[tex]t\log{1.06} = \log{\frac{100000}{46000}}[/tex]

[tex]t = \frac{\log{\frac{100000}{46000}}}{\log{1.06}}[/tex]

[tex]t = 13.33[/tex]

So the answer is ≈ 13.33 years