Answer:
(a) Hence, the probability of reporting heads is 1/2.
(b) Therefore, the expected number of such trial is 1 / 2p (1 –p).
Step-by-step explanation:
Solution:
To generate a random variable takes value 0 and 1.
Let 0 < p <1,
A coin is flipped twice.
(a) Probability of reporting head is 1/2.
The result of two toss is either HT or TH.
In this case we used conditional property, Given that you got either HT or TH,
Probability of occurring head or tail:
P (1ST = H| HT or TH]
= P (H) / P (HT or TH)
= P (HT) / P (HT or TH)
= P (1-P) / P (1-P) + (1-P)P
= P (1-P) / 2P (1-P)
=1/2
Hence, the probability of reporting heads is 1/2.
(b) Expected number of flip before report a result.
The probability of reporting a result on each trial is:
P (HT or TH)
=P (HT) + P (TH)
=P (1-P) + (1 –P) P
= 2P (1 –P)
Since, E(X) = 1 / P
Therefore, the expected number of such trial is 1 / 2p (1 –p).
A day care center has 52 children. Each teacher has the same number of children. How many children could each teacher at the center have.
Answer:
The answer to this question would depend on how many teachers are available in the day care center.
If every teacher is to have the same number of children then the number of teachers will be factors of 52 which are more than 1;
2, 4, 13, 26, 52
If there are 2 teachers, each teacher will have 26 children
If there are 4 teachers, each teacher will have 13 children
If there are 13 teachers, each teacher will have 4 children
If there are 26 teachers, each teacher will have 2 children
If there are 56 teachers, each teacher will have 1 child
74,626,831.08 ROUNDED TO THE TENTH.
Answer:
74,626,831.1
Step-by-step explanation:
You'd notice that in the 0.8 part that the number 8 is greater than 5, and with rounding, if the number if 5 or over, then you round the decimal place before it to a number higher.
f(x) = x2. What is g(x)?
Identify the coefficients: -3h - 2h + 6h +9
Answer:
its -3h,-2h,6h
Step-by-step explanation:
hope i helped
How is the results?
Answer:
[tex]26^9[/tex]
Step-by-step explanation:
When you multiply powers with the same bases, you just add up the powers. In this case, it would be:
[tex]26\cdot28^8\\=26^1\cdot28^8\\=26^9[/tex]
Louis deposited $300 into his bank account. She now has $4501. Enter and solve an equation to find how much was in his account before the deposit. Let it represent the variable.
Answer: $4,201
Step-by-step explanation: 4,501 - 300 = 4,201
Answer:
d+300=4501
Step-by-step explanation:
Take the total: 4501 and subtract it by the amount of money he deposited the second time: 300 and that will show you the missing amount he had in his account before the deposit.
4501-300=4201
The density of a certain material is such that it weighs 5 kilograms for every 8.5 fluid
ounces of volume. Express this density in ounces per liter. Round your answer to the
nearest whole number.
Answer:
701 ounces per liter
Step-by-step explanation:
it's from delta math
The required density in ounces per liter is 140 onces per liter.
The density of a certain material is such that it weighs 5 kilograms for every 8.5 fluid ounces of volume.
To determine density in ounces per liter.
Volume is defined as the ratio of the mass of an object to its density.
As given that, t weighs 5 kilograms for every 8.5 fluid ounces of volume.
1 KG = 7.0474 ounces
5kg = 35.247
8.5 fluid of ounces = 0.251 liter
Density is given as,
= mass / volume
= 35.274 / 0.251
= 140 ounces per liter.
Thus, the required density in ounces per liter is s140 ounces per liter.
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If A= (-1,-3) and B= (11,-8) what is the length of AB?
Answer:
AB is 13
Step-by-step explanation
What is the distance from the origin to point P graphed on the complex plane below?
where does 17 lies between
Answer:
it lies between 16 and 18
Step-by-step explanation:
Answer:
16 and 18
Step-by-step explanation:
Write the slope-intercept form of the equation for
each graph described.
Line passing through (-2,-8) and (9,-8)
Answer:
y=-8
Step-by-step explanation:
First find the slope which is rise over run which equals (y2-y1)/(x2-x1)
(-8-(-8))/(9-(-2))
(-8+8)/(9+2)
0/11
slope = 0
Now you have the slope of 0. You can plug in one of the given point (x,y) to find b
-8=0(9)+b
-8=b
Combine everything
y=0x-8
y=-8
What decimal is equivalent to StartFraction 8 over 100 EndFraction
Answer:
8/100 is equivalent to 0.08
Typically, your car gets 32 mpg on the highway, how many gallons of gas did you use if you
traveled 1760 miles?
Answer:
13 gallons
Step-by-step explanation:
PLZ HELP ill make brainleist to the correct awnser −2 1/2÷6
−2 1/6
−5 1/2
5 1/2
2 1/6
Answer: -7/4
Step-by-step explanation: u juss simplify -21/2/6 and get -7/4
Answer:A
Step-by-step explanation: The answer above me is wrong, it’s not even an answer choice, but I got my answer by using a calculator
helpppppppppppppppppp
how much was the second one?
How would you graph y = -4/9x + 6
9514 1404 393
Answer:
graph the y-interceptfind another point (down 4, right 9)draw the line through the 2 pointsStep-by-step explanation:
When the equation of a line is given in slope-intercept form, as this one is, it is usually convenient to make use of those values (intercept and slope).
Here, the y-intercept is 6. The slope is -4/9, which means the line goes down 4 units for each 9 units to the right.
The y-intercept is graphed at (0, 6). An additional point can be graphed at (9, 2). Then the line can be drawn through these points.
Evaluate the expression x+2y when x=2 and y=−2.5.
Answer: -3
Step-by-step explanation:
If you plug in the numbers, the equation would look like: 2+2(-2.5)
Multiply 2 by -2.5 and you'll get -5 as your product. Add 2 and -5 together to get the sum of -3.
Answer:
‒3
Step-by-step explanation:
x+2y=2+2(‒2.5)
=2+(‒5)
=2‒5
=‒3
i hope it helps you
What is the value of p?
p+2−4=14
Drag and drop the correct answer in the box.
p = Response area
Answer: p=16
Step-by-step explanation:
Find each value for the geometry triangles below
Answer:
14. x=18
Step-by-step explanation:
For 14 you can see that all the angles must add up to 180.
Setup the equation 5x+2x+x=180 and solve for x
For 15 do the same thing, add up all of the lengths and substitute the missing one as W. Set them equal to 360 and you should get your answer.
Which of the following options have the same value as
5% of 352
Choose 2 answers:
Write each phrase as an expression.
Double the sum of x and 4.
your answer should be 2(x+4)
Evaluate each expression if f= -6,9=7, and h=9. 10. g -7 11.-h-(-9) 12. f-g
Answer: 10
Step-by-step explanation:
if u take -6 and add it to 9 and 7 u get 10
A contractor bought 8?2 ft2 9f sheets of metal. she has used 3.5ft2 so far has 84.60 worth of sheets metal remaining. the equation 8.2x-3.5x=84.6 represents how much sheet is remening and the cost of the remaining. how much does the sheet metal cost per square foot?
Answer:
The ratio 19/25 is the same as 76/100, or 0.76.
Multiplying this by 100%, we get 76%, the percentage of questions answered correctly.
Subtracting 76% from 100% results in 24%, which is the percentage of questions not answered correctly.
Step-by-step explanation:
What is the value of x in this equatain x/2 - x = x/4 + 6
Answer:
x=-8
Step-by-step explanation:
The sixth-graders at Scott's school got to choose between a field trip to a museum and a field trip to a factory. 57 sixth-graders picked the museum. If there are 100 sixth-graders in all at Scott's school, what percentage of the sixth-graders picked the museum?
Answer:
57%
Step-by-step explanation:
because percentages go up to a hundred so 57 would be 57%.
Answer:
57%
Step-by-step explanation:
The answer is 57%. The reason is because when we are talking about percentage, it always out of 100. 57 out of 100, you would make that into a fraction so it would be 57/100. You would then divide 57/100 to get 0.57. Move the decimal two places to the right to get 57%.
Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase!
Answer:
124.35 X 6.75
Step-by-step explanation:
The total cost of Anya's purchase of home improvement hardware is 132.74 dollars.
What is percentage?
The percentage is the value per hundredth.
It is given that, the sales tax is 6.75% which is not there in the home improvement hardware which cost 124.35 dollars to Anya.
The total cost of purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,
= (106.75/100)×124.35 dollars.
= 1.0675×124.35 dollars.
= 132.74 dollars.
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Find the slope of the line going through the points
(7,13) and (7,6). Write your answer in simplest
form. If the slope is undefined, write "undefined".
Answer:
Dont ask me
Step-by-step explanation:
Okay!!!!!
Choosing from 8 car models, 5 exterior paint colors, and 2 interior
colors
Find the midpoint M of the line segment joining the points S=(-2,8) and T=(6,-2)
Step-by-step explanation:
[tex] \frac{6 + ( -2)}{2} = 2[/tex]
this is for x
[tex] \frac{ - 2 + 8}{2} = 3[/tex]
this is for y
so it will become (2,3)
What is the standard form of 3.457
Answer:
3.457 is already in standard form.
Step-by-step explanation: