Maathhhhh tingssssss

Problem 5.A miner is trapped inside a mine and has access to 3 doors. The first door leads to a tunneland can take him to safety

Likurg_2 [28]

Answer:

Expected time is 15 hours for him to get to safety.

Step-by-step explanation:

We define X as the time that this miner would get to safety.

We define Y as the door he chooses initially.

P(Y= 1) = P(Y=2)=P(Y=3) = 1/3

We have E[X|Y=1] = 3

E[X|Y] = 5 hours + E[X}

E[X|Y] = 7 hours + E[X]

Then we have

E[X] = 1/3(3 + 5 + E[X] + 7 + E[X])

We cross multiply

3*E[X] = (15 + 2E[x])

3E[X] - 2E[X] = 15

E[X] = 15

So the time it would take to get him to safety is 15 hours

5 0

2 years ago

You have a wooden rod which is 24 1/2 inches long. Carlos needs a piece which is 8 3/4 inches long and Amanda needs a piece whic

ipn [44]

Answer:

8 3/4 inches

Step-by-step explanation:

Total length of the rod = 24 1/2 inches

Carlos = 8 3/4 inches

Amanda = 6 3/8 inches

length of the rod remaining = Total length - ( Carlos + Amanda)

= 24 1/2 - (8 3/4 + 6 3/8)

= 49/2 - (35/4 + 51/8)

= 49/2 - ( 75+51/8)

= 49/2 - 126/8

= 196-126/8

= 70/8

= 8 6/8 inches

= 8 3/4 inches

Length of rod remaining = 8 3/4 inches

6 0

3 years ago

Which best describes the range of a function?

MArishka [77]

Answer:

C, the set of all possible output values

Step-by-step explanation:

Range = Output

8 0

3 years ago

Read 2 more answers

the ___in the hundreds place has a value__ times as great as the vlaue in the __ place. the __ in the __ place has 1/10 the valu

Akimi4 [234]

The digit in the hundreds place has a value 10 times as great as the value in the tens place. The digit in the tens place has 1/10 the value of the digit in the hundred place

<h3>What is place value?</h3>

Place value is simply the value of each digit in a number.

For instance:

The 3 in 350 represents 3 hundreds, or 300
The 5 in 5,006 represents 5 thousands, or 5,000.

It is important to note that place value is the value represented by a digit in a number on the basis of its position in the number or figure.

We can deduce the following:

The digit in the hundreds place has a value 10 times as great as the value in the tens place

The place value of a digit at the hundredths place is 1/10 times the same digit at the tenths place

Thus, the digit in the hundreds place has a value 10 times as great as the value in the tens place. The digit in the tens place has 1/10 the value of the digit in the hundred place

Learn more about place value here:

brainly.com/question/12386995

#SPJ1

4 0

1 year ago

5. The recursive algorithm given below can be used to compute gcd(a, b) where a and b are non-negative integer, not both zero.

s2008m [1.1K]

Implementating the given algorithm in python 3, the greatest common divisors of (124 and 244) and (4424 and 2111) are 4 and 1 respectively.

The program implementation is given below and the output of the sample run is attached.

def gcd(a, b):

#initialize a function named gcd which takes in two parameters

if a>b:

#checks if a is greater than b

return gcd (b, a)

#if true interchange the Parameters and Recall the function

elif a == 0:

return b

elif a == 1:

return 1

elif((a%2 == 0)and(b%2==0)):

#even numbers leave no remainder when divided by 2, checks if a and b are even

return 2 * gcd(a/2, b/2)

elif((a%2 !=0) and (b%2==0)):

#checks if a is odd and B is even

return gcd(a, b/2)

else :

return gcd(a, b-a)

#since it's a recursive function, it recalls the function with new parameters until a certain condition is satisfied

print(gcd(124, 244))

print()

#leaves a space after the first output

print(gcd(4424, 2111))

Learn more :brainly.com/question/25506437

6 0

2 years ago