A prisoner is trapped in a cell containing three doors. The first door leads to a tunnel that returns him to his cell after two days of travel. The second leads to a tunnel that returns him to his cell after three days of travel. The third door leads immediately to freedom. (a) Assuming that the prisoner will always select doors 1, 2 and 3 with probabilities 0.5, 0.3, 0.2 (respectively), what is the expected number of days until he reaches freedom

Answer: 4

Step-by-step explanation: b =√c² - a ²

=√ 5² - 3 ²

=√16

=4

Answer:

angle 6 corresponds with angle 4.

Answer:

Step-by-step explanation:

V sphere = (4/3) π r³    r = 4.7 inches

               = (4/3) π 4.7³            use calculator now

               = 435 in³

Answer:

96 units²

Step-by-step explanation:

This is because the triangle on the right can be transfer to the left. See picture beneath.

Then, since it makes a rectangle, 8 x 12 = 96. This is the answer: 96.

Answer:

Step-by-step explanation:

x^2 - 5x + 6 = 0

(x - 2)(x - 3)

So the critical point are x = 2 and x = 3.

The graph of the function opens upwards and pass through the x axis at (2, 0) and (3, 0).

So the required range is the values of f(x) between  when x = 2 and x = 3

that is  2 < x < 3.

Answer:

Step-by-step explanation:

1 Factor {x}^{2}-5x+6x

2

−5x+6.

(x-3)(x-2)<0

(x−3)(x−2)<0

2 Solve for xx.

x=3,2

x=3,2

3 From the values of xx above, we have these 3 intervals to test.

\begin{aligned}&x<2\\&2<x<3\\&x>3\end{aligned}

​

x<2

2<x<3

x>3

​

4 Pick a test point for each interval.

For the interval x<2x<2:

Let's pick x=0x=0. Then, {0}^{2}-5\times 0+6<00

2

−5×0+6<0.

After simplifying, we get 6<06<0, which is false.

Drop this interval..

For the interval 2<x<32<x<3:

Let's pick x=\frac{5}{2}x=

25

​

. Then, {(\frac{5}{2})}^{2}-5\times \frac{5}{2}+6<0( 25) 2−5× 25+6<0.

After simplifying, we get -0.25<0−0.25<0, which is true.

Keep this interval..

For the interval x>3x>3:

Let's pick x=4x=4. Then, {4}^{2}-5\times 4+6<04 2 −5×4+6<0.

After simplifying, we get 2<02<0, which is false.

Drop this interval..

5 Therefore,

2<x<3

2<x<3

Answer:

C? I dont really know.

Step-by-step explanation:

but

if

I

am

right

plz

give

brainliest

Answer:

1/6*1/2=1/12

Step-by-step explanation:

You basically multiply the probability of getting 1 which is 1/6 out of the total and the probability for getting heads is 1/2 because there are 2 outcomes heads or tails.

So then you multiply them to get the probability of both of them so thats why it is 1/12

Answer:

2/10

Step-by-step explanation:

We can get 2/10 by multiplying the probability of the spinner and the coin because the question wants the compound probablity.

Since there is 2 numbers less than 3 on the spinner and a 50 50 chance of getting tails, 2/5 * 1/2 is 2/10.

Answer

In standard form, the equation is y=4|x+16|+2

Step-by-step explanation:

I included a graph as well

The requried solution of the given expression is y = 6 and -2.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,

Simplifying the equation as to form standard form.
4|y - 2| - 16 = 0
4|y - 2| = 16
y - 2 = ± 4,

Now,
y - 2 = 4         ; y - 2 = - 4
y = 6              ; y = -2

Thus, the requried solution of the given expression is y = 6 and -2.

Learn more about equations here:

brainly.com/question/10413253

#SPJ2

Answer:

136000 cm

Step-by-step explanation:

I think it's helps you

Answer:

x = 10

y = 20

Step-by-step explanation:

They tell you triangle STY is congruent to triangle DTU, which means sides and angles are equal. (they are mirror images in this case)

YT = DT and ST = UT

3y + 5 = 65

3y = 60

y = 20

5x = 50

x = 10

Answer:

hi

Step-by-step explanation:

i think so QR=24

QT=12

ST=37

hope it helps

have a nice day

Answer:

B

Step-by-step explanation:

Look at the X and Y coordinates carefully. X and Y coordinates are swapped and Y coordinate got negative sign.

Answer: C, 3500

Step-by-step explanation:

Each jump from year to year is multiplying by abt 1.6 (200/124 = 1.62, 322/200 = 1.61, etc.) so to find 1978 you'd multiply 2167 * 1.6

2167 * 1.6 = 3467.2 = closest to 3500

Answer:

c

28 cubic units

Step-by-step explanation:

Answer:

X=1

Step-by-step explanation:

1=5x-4

5=5x

5/5=5/5x

X=1

Answer:

y = 3

Step-by-step explanation:

the figure on the right is similar, except the lengths are half as big as the figure on the left. the missing segment, PR, corresponds to FH on the other figure, which is 6. 6/2 = 3, so PR, or y, is 3.

Answer:

(P-12)/2 = L

Step-by-step explanation:

1. Start off with an equation in terms of perimeter

P = (2)(6) + (2)(L)

2. Multiply the two and the six

P = 12+ (2)(L)

3. Move the terms around so only "L" is on one side

(P-12)/2 = L

hope this helped :)

Step-by-step explanation:

Hope this helps!

Answer:

4

Step-by-step explanation:

Answer:

the answer would be F

Step-by-step explanation:

Answer:

<8

Step-by-step explanation:

From the diagram, Corresponding angles are congruent that is Corresponding angles are equal in measure. From the diagram shown, the angle corresponding to <4 is <8 since they are located at the same position on both parallel lines that is right below (both at the top and bottom based on geometry )

Answer:

numerical

Step-by-step explanation:

i guess not sure though

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{12}{16} =\frac{x}{y} \\\\\frac{12}{16} =\frac{3}{4}[/tex]

Divide the numerator and denominator by 4

Answer:

Step-by-step explanation:

          a2 (exponent 2)

x= - _______

        1 - 3a + a2 (exponent 2)

                  Mark brainliest please.

Answer:

HI

Step-by-step explanation:

HI HI HI HI HI HI HI HI HI HI HI HI