Professor Rosencrantz flips a fair coin once. Professor Guildenstern flips a fair coin three times. What is the probability that Professor Rosencrantz obtains more heads than Professor Guildenstern
Answer:
9/13 = 0.6923
Step-by-step explanation:
We start by defining
A as event that head was flipped
B1 = event that coin is biased
B2 = event that it is unbiased
P(B1) = 3/5
P(B2) = 2/5
P(A|B1) = 3/4
P(A|B2) = 2/4 = 1/2
When we solve this using bayes theorem we have to find
p(B1|A) = [P(B1) x P(A|B1)]/[P(B1) x P(A|B1) + P(B2) x P(A|B2)
= 0.6 x 0.75 / 0.6 x 0.75 + 0.4x0.5
= 0.45/0.45+0.2
= 0.45/0.65
= 0.6923
please brainliest
100 POINTS!!!!! help me with this and I swear on my life and everything I will give u 100 points, check my profile points if u dont beleive me, must be right only after ill give u them
Answer:
7x + 5
12x^2 + 20x
2
Step-by-step explanation:
1. (g + h)(x)
We can also write this as g(x) + h(x). Next we can substitute in the expressions for each function:
g(x) + h(x)
3x + 5 + 4x
7x + 5
2. (g * h)(x)
We can also write this as g(x) * h(x). Next we can substitute in the expressions for each function:
g(x) * h(x)
(3x + 5) * (4x)
We can distribute 4x to both terms:
3x * 4x + 5 * 4x
12x^2 + 20x
3. (g - h)(3)
We can also write this as g(3) - h(3). We can separately evaluate g(3) and h(3):
g(3) = 3(3) + 5
g(3) = 9 + 5
g(3) = 14
h(3) = 4(3)
h(3) = 12
Now, we can plug in these two values:
g(3) - h(3)
14 - 12
2
2. What is the median (measure of center)
number of TVs in Mr. Zimmerman's Class?
type here
Answer:
3
Step-by-step explanation:
The equation of a line is y= 4x - 1 and the point (3, p) lies on this line. Determine the value of P
Answer: 11
Step-by-step explanation:
Given
The equation of the line [tex]y=4x-1[/tex] passes through the point [tex](3,p)[/tex]
So, point must satisfies the line i.e.
[tex]\Rightarrow p=4(3)-1\\\Rightarrow p=12-1\\\Rightarrow p=11[/tex]
Therefore, the value of p is 11.
please help!! I'm really stuck on this
Answer:
V = 5cm * 2 cm * 8 cm
Step-by-step explanation:
Volume is the length times the width times the height
V = l*w*h
V = 5cm * 2 cm * 8 cm
What about for basketball?
[tex]\huge\mathsf{\red{\underline{\underline{Answer}}}}[/tex]
[tex]{\green{\dashrightarrow}}[/tex]Players score points by shooting the ball through the hoop. Basketball has become popular for a number of reasons: Basketball is fun to play: Basketball has a very fast and exciting pace of play. Also, each player on the court gets to play both offense and defense and the roles of each player are only loosely defined.
What is the diameter of a sphere with a volume of 334 cm", to the nearest tenth of a
centimeter?
Answer:
8.6cm
Step-by-step explanation:
V = 4/3 pi r^3 = 334, solve for r = 4.30
double for diameter = 8.61
Step-by-step explanation:
you can see there
just click the photo
What are the x-intercepts of the graph of y = x2 + 7x + 10?
Answer: x-int : (-2,0), (-5,0)
y-int: (0,10)
Step-by-step explanation:
13.4 Area of Polygons
S cm
5. Find the area of the polygon.
5 cm
8 cm
-square centimeters
2) Edwin A bought a total of 15 student and non-student tickets worth $223.50. The student tickets cost $12.50 each and the non-student tickets cost $18.50 each. How many of each ticket did he buy?
Answer:
Step-by-step explanation:
I imagine you are in the section in math that teaches about systems! We need a system here to solve this problem...meaning we have 2 unknowns and we need to write 2 equations to solve for them. The first equation will involve the NUMBER of tickets sold, while the second equation will involve the COST of the tickets. These are 2 very different things, and we have what we need to write each equation. First the number of tickets equation:
We know that the number of student tickets (s) and the number of non-student tickets (n) totaled 15 tickets. That means the numbers equation is
s + n = 15
Now onto the money. Since s is student tickets, and each student ticket cost 12.50, the expression for that is 12.5s; since n is non-student tickets and each non-student ticket cost 18.50, the expression for that is 18.5n. That is the money expression for each type of ticket, and we know that the sales of these tickets totaled 223.50; therefore, the money equation is
12.5s + 18.5n = 223.5 (notice I dropped off the 0's since we don't need them).
Go back to the first equation and solve it for either s or n. I solve is for s:
If s + n = 15, then
s = 15 - n. Sub that into the second equation in place of s now:
12.5(15 - n) + 18.5n = 223.5 and simplify a bit by distributing to get
187.5 - 12.5n + 18.5n = 223.5 and combine like terms to get
6n = 36 so
n = 6. That means that there were 6 non-student tickets sold and
s + 6 = 15 student tickets sold:
s = 15 - 6 so
s = 9
find two rational number between 5/7 and 11/12
We have
5/7 = 60/84
11/12 = 77/84
Let the rational numbers to be searched be x, then:
60/84 < x < 77/84
-> x belongs to {61/84; 62/84; ....... 76/84}
find the area of a triangle with vertices A(1,4)B(1,7),C(4,7)
9/2 Sq. units is a Right answer...
Answer:
4.5 units²Step-by-step explanation:
Given ΔABC with vertices:
A(1,4), B(1,7), C(4,7)We observe that
AB is vertical segment with length:
7 - 4 = 3 unitsBC is horizontal segment with length:
4 - 1 = 3 unitsThe area:
A = 1/2bhA = 1/2(3)(3) = 9/2 = 4.5 units²how to convert 2km into SI unit
Answer:
km is a unit of distance
and si unit of distance is meters.(m)
1 km = 10³ m
•°• 2 km = 2 × 10³ m
in SI unit 2km = 2 × 10³ m or 2000 m
In a sale, the selling price of a printer is reduced by 20%. Find the sale price of the printer,given that its normal selling price is 3600.
Normal price - 3600
offer on printer = 20% = 3600×20/100 = 720
The sale price of printer = 3600 - 720= 2880
Can someone help me with this question please??
Answer:
[tex]x = \frac{16}{3}[/tex]
Step-by-step explanation:
[tex]3 \times x = 8 \times 2\\3x = 16\\x = \frac{16}{3}[/tex]
Multiply: 65x600
Please answer my question please
Answer:
39000
Step-by-step explanation:
I WILL MARK BRAINLEST IF YOU HELP ME
Answer:
Step-by-step explanation:
top left r= 0.9 ; top right r= 0.4
bottom left r=0; bottom right r= -0.4
if they are not around a line looking like r=0
if they resemble a line well is close to r=1
if line goes up from left to right is r positive
if line goes down from left to right is r negative
The graph of a quadratic function is shown on the grid. Which equation best represents the axis of symmetry?
Answer:
x = 2
Step-by-step explanation:
The "axis of symmetry" of a quadratic graph is the vertical line through the vertex. Identifying the vertex in the given diagram as (2, 6), we can immediately write the axis of symmetry as x = 2.
Write the function tan([tex]\frac{3\pi }{4} -x[/tex]) as an expression involving functions of x only
Step-by-step explanation:
[tex] \tan( \frac{3\pi}{4}- x) = \frac{ \tan( \frac{3\pi}{4} ) - \tan(x) }{1 + \tan( \frac{3\pi}{4} ) \tan(x)} [/tex]
Since tan(3pi/4) = -1
[tex] \tan( \frac{3\pi}{4}- x) = \frac{ - 1 - \tan(x) }{1 - \tan(x)} [/tex]
[tex] = \frac{ \tan(x) + 1}{ \tan(x) - 1} [/tex]
Lincoln is throwing a pizza party. He has 77 pounds of cheese available and he needs
1/2 pound of cheese to make each pizza. How many pizzas can he make? plss help asap (multiply ig)
Answer: 154
Step-by-step explanation: trust
ILL GIVE BRANLIEST HELP ASAP I HAVE 5 MINUTES
Answer:
480 inches cubed
Step-by-step explanation:
40 POINTS/BRAINLIEST IF RIGHT
permutations of word MADISON
-a problem set-
Answer:
the correct answer is c
Step-by-step explanation:
the correct answer is c
In the figure below, what is the measurement of GH ?
Answer:
C. 4
Step-by-step explanation:
first off, we know we need the value of HJ to solve for GH. Luckily for us HJ is congruent to JK, and we have the values to solve for that using pythagorean theorum.
4^2 + JK^2 = 5^2
16 + JK^2 = 25
JK^2 = 9
JK = 3
now we can solve for GH
3^2 + GH^2 = 5^2
9 + GH^2 = 25
GH^2 = 16
GH = 4
Jensen goes to the store with $4. He buys 3 pencils for $0.70 each and
some erasers. Each eraser costs $0.50. Enter the maximum number of
erasers he can buy.
Answer:
3 erasers.
Step-by-step explanation:
Let p = pencils and e = erasers. Since we know that Jensen has $4, we can set up the following inequality and solve for e.
0.70p + 0.50e ≤ 4
0.70(3) + 0.50e ≤ 4
2.10 + 0.50e ≤ 4
0.50e ≤ 1.90
e ≤ 3.8
Since erasers are usually bought as whole items, the maximum amount of erasers Jensen can buy is 3.
A rectangular room is 9 m long and 6 m broad. Find the number of
pieces of carpet each of 4 m long and 1.5 m wide to cover the floor of
the room. If the rate of cost of carpet is Rs 110 per metre, find the cost
of carpeting the floor.
Answer:
880
Step-by-step explanation:
Answer:
Rs. 3,960 is the cost of carpeting.
There are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies. How
many different groups of 4 movies are possible, if the order in which they are seen is not important?
Answer:
35
Step-by-step explanation:
sdfghjkolkgdsdfghjkl
The possible number of the group the movies will be 840.
What are permutations and combinations?Permutation and combination are counting principles that are used in a variety of situations. A permutation is a count of the various arrangements that can be made from a given set of items. Details matter in permutation because the order or sequence is important.
Given that there are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies.
The combinations will be calculated as:-
Combination = ⁷C₄
Combination = ( 7 x 6 x 5 x 4 )
Combination = 840
To know more about permutation and combination follow
https://brainly.com/question/28065038
#SPJ2
PLZZ HELP.... I NEED MY GRADE TO GO UP BC ITS ALMOST MY BIRTDAY AND I CANNOT FAIL!! PLLLLLLLSSSSSSS WILL MARK Brainliest
Last Sunday Lily and Maddie went to Sarah’s Sweet Shop and purchased one cupcake and one brownie. Their bill was $4.50.
The next day they brought their friend Jessica and purchased 3 cupcakes and one brownie. This time their bill was $9.50.
Let x represent the price of each cupcake.
Let y represent the price of each brownie.
2.The first equation in the system is: x+y=4.50x+y=4.50
3.The second equation in the system is : 3x + y = 9.50
4.Solve the system from question 3 to find the price per cupcake.
5.Find the price per brownie.
6.Find the total cost to purchase 4 cupcakes and 4 brownies from the shop.
Answer:
Each cupcake cost $2.50 and each brownie cost $2.00
Step-by-step explanation:
Let x represent the price of each cupcake and let y represent the price of each brownie.
Lily and Maddie bought one cupcake and one brownie for $4.50. Hence the equation is:
x + y = 4.50 (1)
Also Jessica purchased 3 cupcakes and one brownie for $9.50. Hence the equation is given by:
3x + y = 9.50 (2)
To find the price of each cupcake and brownie, we solve equation 1 and 2 simultaneously. To find x, subtract equation 1 from equation 2:
2x = 5
x = $2.50
Put x = $2.50 in equation (1):
2.50 + y = 4.50
y = $2.00
Therefore each cupcake cost $2.50 and each brownie cost $2.00
please help (Determine the slope of the line. Show the work you did to find the slope.)
10 POINTS!
Answer:
slope of line is 3/5
Step-by-step explanation:
slope is the ratio of the change in the y-values over the change in the x-values
in this problem, if you go from pt A to pt B, you rise by 3 and go to the right by 5, thus slope of 3/5
if you go from pt B to pt C, you rise by 6 and go to the right by 10
however, 6/10 can be reduced to 3/5
if you start at point (0,2) and rise by 3 and run to the right by 5 you are at point (5,5)
change in y-values is 5-2 or 3
change in x-values is 5-0 or 5
(5-2)/(5-0) = 3/5
If the ray ML makes an angle measuring 2 radians with the ray MN, and the length of the arc intercepted by the angle is 72 inches, what is the radius of the window?
Answer:
36 inches
Step-by-step explanation:
From the diagram attached,
Applying
s = 2πr∅/360
Where s = lenght of the arc, r = radius of the window, ∅ = angle formed in degree, π = pie.
make r the subject of the equation
r = 360s/2π∅................... Equation 2
From the question,
Given: s = 72 inches, ∅ = 2 radians = 114.6°
Constant: 3.14
Substitute these values into equation 2
r = (360×72)/(114.6×3.14×2)
r = 25920/719.688
r = 36 inches
A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?
Enter your equation in the space provided. Enter only your equation.
Answer:
y = 3x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 10 )
m = [tex]\frac{10-4}{2-0}[/tex] = [tex]\frac{6}{2}[/tex] = 3
The y- intercept c = 4
y = 3x + 4 ← equation of line