Answer: Option E is the correct answer; (1 + p⁴) / (1 + p³)
Step-by-step explanation:
P (3 head) = P(first and 3 heads) + P(second coin and 3 heads)
= (1/2)×1³ + (1/2)× p³ = (1/2) × (1 + p³)
therefore P(first coin given 3 heads) = (1/2)×1³/ ((1/2)×(1 + p³))
= 1 / (1 + p³)
Also P( second coin given 3 heads) = p³ /(1 + p³)
therefore P(4th toss in heads given first 3 are heads) will be;
= P(first and 4th toss heads) + P(second and 4th toss heads)
=(1/( 1 + p³ )) × 1 + p³ / (1+p³) × p
= (1 + p⁴) / (1 + p³)
Therefore Option E is the correct answer
3. Repeat this process to find the width and height of a newer 48-inch television whose
screen has an aspect ratio of 16:9.
Do not include units in your answer - write only the Mumber rounded to the nearest tenth
What is the height?
Answer:
23.5"Step-by-step explanation:
Please see attached a sketch of the television
the size of a television is described by the length of its diagonal in inches.
in this case, the diagonal of the television is 48"
we are told that the aspect ratio is 16:9
hence the dimension of the television as seen from the draft is
length= 16x
height=9x
Applying Pythagoras theorem
(16x)^2+(9x)^2= 48^2
256x^2+81x^2=2304
337x^2=2304
divide both sides by 337 we have
x^2=2304/337
x^2=6.8367
x=√6.8367
x=2.6
What is the height
H=9x
=9(2.6)
=23.5"
An N-scale model railroad caboose is 3 inches long. N scale is 169 feet to 1 foot.
Let c represent the length of a real caboose. Write a proportion, in terms of c, that can be used to solve for the length of a real caboose. (Hint: Compare feet to inches. How many inches are in one foot?)
How long (in feet) is a real caboose?
ft
9514 1404 393
Answer:
c/3 = 169/1242 1/4 feetStep-by-step explanation:
Since we want to know the actual number of feet, we can write the proportion with that in the numerator.
[tex]\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}[/tex]
The real caboose is 42 1/4 feet long.
A taxi ride costs $4 plus an additional $3 per mile. Write the equation for the line in slope-intercept form
Answer:
y=3x+4
Step-by-step explanation:
4 is your y-intercept, and 3 is your slope.
The linear function shows the total cost will be y = 3x + 4.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
A taxi ride costs $4 plus an additional $3 per mile.
Let's say the number of miles is represented as x while the total cost is represented as y.
y = 3x + 4
Hence "The linear function shows the total cost will be y = 3x + 4".
For more about the linear function,
brainly.com/question/21107621
#SPJ2
y=_x+_ what would be the answer
Answer:
y = -1/4x + 2
Step-by-step explanation:
slope = rise over run
-1 rise for 4 run
y intercept = 2
y = -1/4x + 2
While at the pet store, Fred counted the number of animals in the store. For every 3 dogs in the store, there were 4 cats. Identify the equivalent ratios of dogs to cats. Select two that apply. 6:8 B 300:40 C 9:12 D 6:2
Answer:
I am thinking that it is A and C
Step-by-step explanation:
If I am right may I get a brailiest
If I am wrong I am so very sorry
In a semiconductor company's quality control test, a machine found that 14 out of a sample of 234 computer chips were defective. How many of the 4705 such chips that the company makes each month would you expect to be defective?
Answer:
281-282
Step-by-step explanation:
Multiplying and Dividing Radicals
Simplify the following expressions.
Find the exact volume of a waffle ice cream cone with 15-in. Diameter and a height of 23 inches
Can someone help me solve 1+1????
Help please I am begging
Answer:
The answer is A, 3.50w.
Step-by-step explanation:
When there is 1 pound, it is 3.50. 2 pounds it's 7.00 which is 3.50 times 2.
If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!
Add simplify the answer and write it as a mixed number 7 3/7 + 3 3/5
You should first make 7 3/7 and 3 3/5 into improper fractions that would be 52/7 and 18/5 then we can add but we have to make them equivelent in order to do so.
52/7 = 260/35
18/5 = 126/35
Add 260 and 126 and we will get 386/35 but remember we still have to make it a mixed number so we finally get the answer of 11 1/35
which of the following can be used to show that these triangles are congruent?
Answer:
ASA
Step-by-step explanation:
Angle B side BC and angle C
Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.
In the given figure, ΔABC and ΔCDE.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Here,
Consider ΔABC and ΔCDE, we get
∠B = ∠E (Given)
BC=CE (Given)
∠BCA = ∠ECD (Vertically opposite angles)
By ASA congruence, ΔABC≅ΔCDE
Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
#SPJ5
Molly opened a bank account. She deposited $86.50 into her account every month for 20 months. She used $24.50 every month to pay for singing lessons. After 20 months, she used 1 over 4 of the total money left in her account to go to a summer camp for singers. What is the total amount of money Molly spent to go to the summer camp?
Answer:$310
Step-by-step explanation:
What is the volume, measured in cubic centimeters, of the box below? Do not
include units in your answer.
4 cm
5 cm
1 cm
Answer:
20
Step-by-step explanation:
4 × 5 × 1 = 20 (cm³)
Hope it help, please give me Brainlest!
Answer:
20
Step-by-step explanation:
The formula for volume:
[tex]V=length*width*height\\\\V=lwh[/tex]
Multiply all given values together:
[tex]V=4*5*1\\\\V=20*1\\\\V=20[/tex]
The volume of the box is 20cm³.
:Done
Note:
"Cubic" centimeters means cm³. The exponent is used because you multiplied 3 dimensions.
Another example would be with area. To find this, you multiply length by width, resulting in area², because you mutliplied 2 dimensions.
Two pounds of grapes costs $6 as shown in the table. At this rate, how much does 1 pound of grapes cost?
Answer:
1 pound of grapes cost 3$
Step-by-step explanation:
If 2 pounds of grape cost 6$ then 1 pound of grape cost 3$ Since 1 is half of 2 and 3 is half of 6
Question 3 :
Furniture of vendor firm recorded in
the books at Rs.2,50,000, were taken
over by the partner at an agreed
value of Rs.1,75,000, the amount to
be debited to partners' capital
account will be:
Rs. 2,50,000
Rs.75,000
Rs.4,25,000
Rs. 1,75,000
Answer:
Rs. 2,50,000
Step-by-step explanation:
When a partnership distributes inventory items (hot asset) to its partners, the basis of the inventory items is used to record the transaction. Only when partnerships distribute assets other than hot assets will the fair market value of the assets be used to record the transaction.
The logic is that inventory items are valued at lower of cost or market value. This means that inventory items are already valued at FMV or cost, whichever is less. If the partnership recorded the transaction using Rs.1,75,000, then it would have to record a loss, and distributions cannot generate losses to a partnership. The only way to record the inventory items at Rs.1,75,000 is that previously the partnership writes down inventory.
Angle measures and segment lengths. Algebra Find the value of each variable.
Answer:
x = 60°
Step-by-step explanation:
According to the Outside Angles Theorem, the angle formed by the two tangents in the diagram above is equal to half of the difference of the measures of two arcs that are intercepted.
Therefore:
[tex] x = \frac{1}{2}(360 - 120) - 120) [/tex]
[tex] x = \frac{1}{2}(240 - 120) [/tex]
[tex] x = \frac{1}{2}(120) [/tex]
x = 60°
Which of the following describes the following graph?
A. Function only
B. Relation only
C. Neither funtion or relation
D. Both a function and a relation
The sum of 2x50 and 3x50 is ____ x 50?
5
Simply add 3 and 2. You dont need to worry about the 50.
Or, complete 2x50 and 3x50
Now you would have 100 and 150.
Then add them to get 250.
Finally, divide 250 by 50.
Your answer should be 5
The temperature was 12°C before the storm. During the storm, the temperature dropped 19°C. What was the temperature at the end of the storm?
Answer:
-7 degrees celsius
Step-by-step explanation:
12-19=-7
Answer:
-7
Step-by-step explanation:
12 - 19 = -7
12x+2y=-12 in slope form
Answer:
y = -6x - 6
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Standard Form: 12x + 2y = -12
Step 2: Rewrite in slope-intercept form
Subtract 12x on both sides: 2y = -12x - 12Divide 2 on both sides: y = -6x - 6A rectangular poster is 50 cm long and 25 cm wide. If 1 cm is approximately .4 inches What is the perimeter of the poster
An open-top box is to be made from a 12-inch by 24-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What is the maximum possible volume, in cubic inches, of the box?
Answer:
The maximum possible volume = 332.685 cubic inches
Step-by-step explanation:
From the information given:
Let the height be = x
The length be = 24 - 2x
The width be = 12 - 2x
Then V = x (24 -2x) ( 12 - 2x)
V = x ( 288 -48x - 24x +4x²)
V = x(288 - 72x + 4x²)
V = 288x - 72x² + 4x³
[tex]\dfrac{dV}{dx}= (3x^2 - 36x+ 72)[/tex]
[tex]\implies x^2 - 12x + 24 = 0[/tex]
[tex]=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]=\dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(24)}}{2(1)}[/tex]
[tex]=\dfrac{12 \pm \sqrt{144 - 96}}{2}[/tex]
[tex]=\dfrac{12 \pm \sqrt{48}}{2}[/tex]
where;
[tex]x \ne \dfrac{12 + \sqrt{48}}{2}[/tex]
∴ [tex]x= \dfrac{12 - \sqrt{48}}{2}[/tex]
x = 2.536 ( since the length cannot be negative)
So, the length x = 24 - 2(2.535) = 18.93
The width = 12 - 2(2.535) = 6.93
heigth = 2.536
∴
V = 18.93 × 6.93 × 2.536
V = 332.685 cubic inches
A box is made from a plastic sheet by removing square from each corner, maximum volume of this box will be 332.55 cubic inches.
Volume of a cuboid: Volume of a cuboid or rectangular box is given by the expression,Volume = Length × Width × Height
Given in the question,
Plastic sheet with length = 12 inches Width of the sheet = 24 inches A square has been removed from each corner to fold the box.Let the measure of each side of a square removed = x inches
Therefore, length of the box = (12 - 2x) inches
Width of the box = (24 - 2x) inches
Height of the box = x inches
Volume of the box (V) = (12 - 2x) × (24 - 2x) × (x)
V = 4x³ - 72x² + 288x
To find the maximum volume of the box differentiate the expression with respect to 'x' and equate it to zero.
V' = 12x² - 144x + 288
For V' = 0,
12x² - 144x + 288 = 0
x² - 12x + 24 = 0
[tex]x=\frac{12\pm\sqrt{(12)^2-4(1)(24)} }{2(1)}[/tex]
[tex]x=(6\pm2\sqrt{3})[/tex]
[tex]x=9.46,2.54[/tex]
For x = 9.46,
Volume of the box = 4(9.46)³- 72(9.46)² + 288
= -2769.03 cubic inches
For x = 2.54,
Volume of the box = 4(2.54)³- 72(2.54)² + 288
= 332.55 cubic inches
Therefore, maximum volume of the box will be 332.55 cubic inches.
Learn more about the volume of a cuboid here,
https://brainly.com/question/25395659?referrer=searchResults
A gallon of water weighs 8.34 pounds. The Rhoads family has a round, 12-foot diameter, above-ground pool. How much weight is added to the pool when it is filled with 3, 205 gallons of water?
Answer:
The amount of weight added is 26,729.7 pounds
Step-by-step explanation:
Here, we are told that a gallon of water weighs 8.34 pounds
Now, we want to find the weight of 3,205 gallons of water
Mathematically, that would be;
3,205 * 8.34 = 26,729.7 pounds
3(2^2x+3)-5(2^x+2)-156=0 in logarithm form
Answer:12x-157-5.2x
Step-by-step explanation:Like this or you want us to solve it lol
The given equation can be written in logarithmic form as xlog(2) + log(3 × 2ˣ - 5) = log(157).
What is Logarithm?Logarithm function is defined as the inverse of the exponential function.
If a^(b) = c, then b = log(c) at the base of a.
Logarithm of any number is always positive.
For negative numbers, the logarithm are complex numbers.
The given equation is [tex]3(2^{2x}+3)-5(2^{x} + 2)-156 = 0[/tex]
Suppose 2ˣ be t, then the equation can be rewritten as,
3(t² + 3) - 5(t + 2) - 156 = 0
⇒ 3t² - 5t = 157
⇒ t(3t - 5) = 157
Take logarithm both sides to get,
log(t(3t - 5)) = log(157)
Use the property log(ab) = log(a) + log(b) to get,
log(t) + log(3t - 5) = log(157)
Substitute t = 2ˣ as and apply log(aⁿ) = nlog(a) as,
xlog(2) + log(3 × 2ˣ - 5) = log(157)
Hence, the logarithm form of the given equation is obtained as xlog(2) + log(3 × 2ˣ - 5) = log(157).
To know more about logarithm click on,
https://brainly.com/question/20785664
#SPJ2
In this diagram lines AB and CD are Parallel
Answer: I need a picture to find out ;-;
Step-by-step explanation:
Answer:
if youre asking for the equation its AB=CD
Step-by-step explanation:
If youre not, you'll need to attach a file or smth :'D
Due today at 12:59!!!!!
Answer: Im confused?
Step-by-step explanation:
the square of a number equals five times that number find number.
A. 0 or 1
B. 0 or 3
C. 0 or 5
D. 0 or 7
Answer:
x²=5x
x=5... probably c
write an equation of the line with a slope of -3/4 and y-intercept of -6
Answer:
y = -3/4x - 6
Step-by-step explanation:
Solve for x.
14 = 28 + 7x
Answer:
X = 2
Step-by-step explanation:
14= 28 + 7x
28 - 14 = 7x
14 = 7x
14 / 7
2 = x
Answer:
x = − 2
Step-by-step explanation: