Answer:
The expected number of days until prisoner reaches freedom is 12 days
Step-by-step explanation:
From the given information:
Let X be the random variable that denotes the number of days until the prisoner reaches freedom.
We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;
E(X) = E( E[X|Y] )
E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}
[tex]E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})[/tex]
[tex]E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2[/tex]
Solving for E[X]; we get
E[X] = 12
What are the answers pls?
Answer:
B)
Step-by-step explanation:
I believe the answer is B).
Hope this helps! Do you give brainlliest?
It is 5:15 pm now. What time will it be in 40 minutes?
5:45 am
A5:45 pm
c5:55 pm
6:00 pm
Answer:
C:5:55
Step-by-step explanation:
5:15 plus 40 minutes will be 5:55
Answer:
C. 5:55 itssssss easyyy
Step-by-step explanation:
5:15
+40
55
Which graph matches the following statement? You are driving a steady speed, then stop for a train. When the train passes, you resume your speed.
Answer:
It is most likely B from the graph
Answer:
b is the correct answer of the question
Help me please......
Answer:
g(x) = (x-8)^2 - 5
Step-by-step explanation:
subtracting from x inside of the square translates the function to the right and adding to x inside of the square translates it to the left.
(x-8)^2 - 1 translates the function 8 units to the right
subtracting from the constant translates the function down and adding translates it up.
x^2 - 5 translates the function 4 units down
Therefore, (x-8)^2 - 5 translates the function 8 units to the right and 4 units down
Derek unpacked 126 kilograms of grapefruits and lemons. The grapefruits came in 10-kilogram bags and the lemons came in 8-kilogram bags. In all, Derek unpacked 13 bags of fruit. How many bags of grapefruits and bags of lemons did he unpack?
Answer:
11 bags of grapefruits; 2 bags of lemons
Step-by-step explanation:
Create a system of equations.
Let x be the number of grapefruit bags. Let y be the number of lemon bags.
x + y = 13
10x + 8y = 126
Rearrange the first equation to solve for x:
x = 13 - y
Substitute x in for x in the second equation:
10(13 - y) + 8y = 126
130 - 10y + 8y = 126
-2y = -4
y = 2
Plug y back into the first equation to solve for x.
x = 13 - 2
x = 11
Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description?
Answer:
40 mi / h = 120 mi / 3h
Step-by-step explanation:
needed points so i juss looked it up btw its the right answer double checked it wit my smart as$ brother
Answer:
The answer is A
Step-by-step explanation:
I just did a test and got it right!
A rancher decreased the number of his
herd from 150 head to 120 head of cattle.
What was the percent of decrease in the
number of cattle?
Please hurry
Answer:
20%
Step-by-step explanation:
150-120 is 30
30 is 1/5 of 150
1/5 is .2, which is 20%
Hope that helps~
Simon is playing a card game he needs to collect three cards each card should be a factor of 20 which set of cards should Simon choose 
Answer:
4 5 and 20
Step-by-step explanation:
Determine the future amount if ₱150,000 is deposited in a fund for 5 years at 2.5% compounded annually
Answer:
169,711.23₱
Step-by-step explanation:
compound intrest formula
p(1+r/100)^n
150,000(1+2.5/100)^5
=169,711.23₱
Chuck-A-Luck: To win any money, at least two of your dice must show the same number. What's the likelihood of winning anything after one roll?
Answer:
0.2778
Step-by-step explanation:
Each sides in a fair die has a probability of = 1/6
The probability of getting the same number on both dice is 6 from 36 outcomes, that is;
= 6/36 = 1/6
the probability of get same number on both dice after one roll = 1/6
therefore = 1/6 x 1/6 = 1/36 = 0.2778
The graph of an equation shown below: based on the graph, which of the following represents the solution to the equation? (-2, -3) (2, 1) (1, 2) (-3, -2)
PLEASE HELP ME FAST!
The cost, including sales tax, of a Ford Focus SE is $19,392.70. If the sales tax is 6%, find the cost of the car before the tax was added.
Answer:
the price before taxes was $18,229.13
Step-by-step explanation:
whats 93, −76, 102, −101, 83, −48 least to greatest
Answer:
it iss -101, -76, -48, 83, 93
Answer:
-101, -76, -48, 83 ,93, 102
What is this! I will mark u as branilyst
Solve for x = X-16/x+6= 3/5
Answer:
-16/29
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
i did the test
PLEASE HELP !!!!!
1) Find the equation of the trend line (line of best fit). SHOW WORK
2) Predict the number of tips that would be collected if 100 costumers were served at the restaurant on a given day. Explain your reasoning.
3)EXPLAIN how to use the regression calculator to make a reasonable prediction given a data table
(I don't know how to attach more than 1 picture by the way )
Answer:
1) y = 1.8741176487x + 3.655964863
2) About $191 using the equation, about $180 or more using the data you are given.
3) I can use the regression calculator by using the largest number of customers you have in the data set and lowest number of customers and compare them to see if the numbers are in ascending or descending order.
The sum of two numbers is 21. One of the numbers squared plus 1 is equal to the other number. Given that both numbers are positive, what are the two numbers?
Answer:
4 and 17
Step-by-step explanation:
4 because 4^2 is 16 + 1 = 17 and the other # is 17 because 21-4 is 17
please help asap please
Answer:
abcdefghijklmnopqrstuvwxyz
Step-by-step explanation:
A car is traveling at a rate of 48 miles per hour. If the car continues to travel at this same rate, how many hours will it take the car to travel 612 miles?
Answer:
12.75
Step-by-step explanation:
If you make a proportion: 48/1=612/x
1(612)= 612
612/48
12.75 hours
At a speed of 48 miles per hour, the car will take approximately 12.75 hours to go 612 miles.
What is the distance?A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.
A car is traveling at a rate of 48 miles per hour.
To determine the number of hours it will take the car to travel 612 miles at a rate of 48 miles per hour, you can divide the distance traveled by the rate at which the car is traveling:
⇒ distance ÷ rate
⇒ 612 miles / 48 miles/hour
Apply the division operation, and we get
⇒ 12.75 hours
Therefore, it will take the car about 12.75 hours to travel 612 miles at a rate of 48 miles per hour.
Learn more about the distance here:
brainly.com/question/13269893
#SPJ2
Swedish researchers concluded that viewing and discussing art soothes the soul and helps relieve medical conditions such as high blood pressure and constipation. This conclusion was based on a study in which 10 elderly women gathered once a week to discuss different works of art. The study also included a control group of 10 elderly women who met once a week to discuss their hobbies and interests. At the end of 4 months, the art discussion group was found to have a more positive attitude, to have lower blood pressure, and to use fewer laxatives than the control group.(a) Why would it be important to determine if the researchers assigned the women participating in the study at random to one of the two groups?i) Assigning women at random ensures that the two groups are comparable.ii) Assigning women at random satisfies the conditions of a single-blind experiment. iii) Assigning women at random is not important for the study and can be neglected.(b) Explain why you think that the researchers included a control group in this study.i) A control group is absolutely unnecessary hereii) A control group allows the experiment to be conducted once more if the first attempt failed. iii) A control group is used to increase the size of the sampleiv) A control group provides a baseline for comparisons to determine treatment effects.
Answer:
i) Assigning women at random ensures that the two groups are comparable.
iv) A control group provides a baseline for comparisons to determine treatment effects.
Step-by-step explanation:
(a)
It is pertinent that there two comparable groups. In light of the fact that it will help in making better decisions since there will be some people who have blood pressure as a result of uncontrolled physical characteristics such as anger, positive attitude, lower blood pressure. etc Thus, there is a need to consider two equivalent groups.
(b)
A control group is used as a benchmark for determining the cause and effect of a treatment on a given experimental group. This may be in regard to the social aspect of meeting other individuals involved that make up the physical changes.
write a function for the table
please help I don't get it
Answer:
y = 2x - 5
Step-by-step explanation:
Let us consider the points (- 2, - 9) & (0, - 5)
Equation of line in two point form is given as:
[y-(-9)]/[-9-(-5)] = [x - (-2)]/[-2 - 0]
(y + 9)/(-9 +5) = (x + 2)/ (-2)
(y + 9)/(-4) = (x + 2)/(-2)
(y + 9)/(2) = (x + 2)/(1)
(y + 9) = 2(x + 2)
y + 9 = 2x + 4
y = 2x + 4 - 9
y = 2x - 5
This is the required function.
Calculate the length of a regular hexagon
of 62.50 cm.
A polynomial is given below.
3x6 + 2x4 – x3 + 7
Which statement must be true about this polynomial?
Answer:
Step-by-step explanation:
Well since the polynomial is of not an even or odd sequence like the polynomial in the question is
[tex]3x^6+2x^4-x^3+7\\[/tex]
like the degree 6 is even the degree 4 is even but the degree 3 is odd so since the sequence breaks the polynomial above has no real x-intercepts meaning it has complex roots.
Help me pleaseee jesussss (10 points )
Find the Lateral Area
A triangular prism and its dimensions are shown in the diagram.
5 cm
5 cm
8 cm
6 cm
What is the lateral surface area of this triangular prism in square centimeters?
Answer:
? please explain
Step-by-step explanation:
Answer:128 I think is the answer
Step-by-step explanation:
In preparation for the school play, the number of adult tickets sold by the ticket office was 5 less than twice the number of children's tickets. They sold 95 adult tickets. Write an equation you can use to find how many children's tickets were sold.
Answer:
3
Step-by-step explanation:
i think 5-2
Express 0.2 as a fraction.
Answer:
1/5
Step-by-step explanation:
0.2 = 2/10
2/10 = 1/5
Answer:
0.2 = 1/5
Step-by-step explanation:
0.2
=
0.2 × 10
=
2/10
=
2 ÷ 2
10 ÷ 2
=
1/5
Is this inequality true? I -4 I > -4 ?
Answer:
no its false its equal
Step-by-step explanation:
-4 isnt greater or > than -4 it's the exact same
Emily is at the grocery store and plans on buying cans of soup and frozen dinners, but is concerned about their sodium content. Each can of soup has 400 mg of sodium and each frozen dinner has 250 mg of sodium. How many milligrams of sodium are there in 2 cans of soup and 5 frozen dinners? How many milligrams of sodium are there in cc cans of soup and ff frozen dinners
Answer:
20
Step-by-step explanation: