The probability of rolling an 8 with two dice in 2 of 3 rolls can be found to be 0.154.
How to find the probability ?Let's first find the probability of rolling a sum of 8 with two dice. There are 6 sides on each die, making a total of 6 x 6 = 36 possible outcomes. The combinations that produce a sum of 8 are as follows:
(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)
There are 5 combinations that give a sum of 8, so the probability of rolling a sum of 8 in a single roll of two dice is:
P(8) = 5/36
The probability of rolling a sum of 8 in 2 out of 3 rolls is represented as a binomial probability problem:
P(X=k) = C(n, k) x p^k x (1-p)^(n-k)
In this case, we have:
n = 3
k = 2
p = 5/36
First, let's find C(n, k):
C(3, 2) = 3! / (2!(3-2)!) = 3
Now, let's calculate the binomial probability:
P(X=2) = C(3, 2) x (5/36)^2 x (1 - 5/36)^(3-2)
P(X=2) = 3 x (25/1296) x (31/36)
P(X=2) = 0.154
Find out more on probability at https://brainly.com/question/23682215
#SPJ1
can you please help me? i also need to know how you got the answer pls and thabk u
Answer:
7 degrees
Step-by-step explanation:
Start with the temperature of -7 deg at 6:00 a.m.
The temperature increases 14 degrees in the next 6 hours.
6 hours after 6:00 a.m. is noon.
We are asked the temperature at noon.
At noon, the temperature is 14 degrees higher than -7 deg.
We add the increase, 14 deg, to the starting temperature, -7 deg.
-7 deg + 14 deg = 7 deg
Answer: 7 degrees
Determine the slope of the line y= x/3 +2 . I already did it just wanna know if it’s the right answer
Answer:
A. -1/3 is the answer
Step-by-step explanation:
y = - x/3 +3
x/3 + y =2
slope = -x/y
= -( 1/3 ) /1
= -1/3
a researcher is conducting an anova test to measure the influence of the time of day on reaction time. participants are given a reaction test at three different periods throughout the day: 7 a.m., noon, and 5 p.m. in this design, there are factor(s) and level(s). a. two; three b. one; three c. two; six d. three; one
The correct option is (a) two factors and three levels. The design has two factors (time of day) and three levels (7 a.m., noon, and 5 p.m.).
In this research design, the factor is the time of day and it has three levels: 7 a.m., noon, and 5 p.m. The researcher is conducting an ANOVA test to measure the influence of the time of day on reaction time.
The factor is the time of day, and it has three levels: 7 a.m., noon, and 5 p.m. The ANOVA test will help determine if there are any significant differences in reaction times between these three periods throughout the day.
Therefore, the design has two factors (time of day) and three levels (7 a.m., noon, and 5 p.m.). The ANOVA test will be used to analyze the influence of the time of day on reaction time.
To know more about ANOVA visit:
https://brainly.com/question/30762844
#SPJ11
Calculate Ocean Freight charges in Canadian dollar
We have a shipment of two different cargos:
2 skids of Apple, 100 cm x 100 cm x 150 cm, 400 kg each
3 boxes of Orange, 35" x 25" x 30", 100 kg each
Ocean freight rate to Mumbai: $250 USD / m3
1 USDD= 1.25 CND
1 m3=1000 kg
The ocean freight charges for the given shipment in Canadian dollars would be approximately 603.25 CAD.
To calculate the ocean freight charges in Canadian dollars for the given shipment, we need to follow these steps:
Step 1: Calculate the volume and weight of each cargo item:
For the skids of Apple:
Volume = 100 cm x 100 cm x 150 cm
= 1,500,000 cm³
= 1.5 m³
Weight = 400 kg each x 2
= 800 kg
For the boxes of Orange:
Volume = 35" x 25" x 30"
= 26,250 cubic inches
= 0.4292 m³
Weight = 100 kg each x 3
= 300 kg
Step 2: Calculate the total volume and weight of the shipment:
Total Volume = Volume of Apples + Volume of Oranges
= 1.5 m³ + 0.4292 m³
= 1.9292 m³
Total Weight = Weight of Apples + Weight of Oranges
= 800 kg + 300 kg
= 1,100 kg
Step 3: Convert the ocean freight rate to Canadian dollars:
Ocean freight rate to Mumbai = $250 USD / m³
Conversion rate: 1 USD = 1.25 CAD (Canadian dollars)
Freight rate in CAD = $250 USD/m³ x 1.25 CAD/USD
= 312.5 CAD/m³
Step 4: Calculate the freight charges for the shipment:
Freight charges = Total Volume x Freight rate in CAD
Freight charges = 1.9292 m³ x 312.5 CAD/m³
= 603.25 CAD
For similar questions on Canadian dollars
https://brainly.com/question/15952009
#SPJ8
if RS = RU = 23, m∠RTS = 5w = 69°, and m∠RTU = w + 3°, what is m∠STU?
The measure of the angle m∠STU is 42 degrees
Find the diagram to the image attached below:
Since the side RS = RU, this shows that:
m∠RTS = m∠RTU
Given the following parameters
m∠RTS = 5w - 69°
m∠RTU = w + 3°
Equating both expressions
5w - 69° = w + 3
5w - w = 3 + 69
4w = 72
w = 72/4
w = 18
Get the measure of m∠STU
m∠STU = m∠RTS + m∠RTU
m∠STU = 5w - 69 + w + 3
m∠STU = 6w - 66
m∠STU = 6(18) - 66
m∠STU = 42 degrees
Hence the measure of the angle m∠STU is 42 degrees
I suck at math please help!
Answer:
62
Step-by-step explanation:
the triangles angles always add up to 180 degrees
66+52=118
180-118=62
hope this helps :) have a nice day !!
A recipe requires ¼ cup of oil for every ⅔ cup of water. How much oil (in cups) is needed per cup of water?
Answer:
3/8 cups
Step-by-step explanation:
Divide both sides by 2 to get the value for 1/3 cup of water:
1/3 cup water = 1/8 cup of oil
Now, multiply each side of the equation by 3 to get 1 cup of water:
1 cup water = 3/8 cup of oil
hope this helps!
a population of vegetarian finches (platyspiza crassirostris) has a mean beak depth of 15 mm. during a drought, only plants with small fruit that require deep beaks to eat are available, so the finches that survive have a mean beak depth of 12 mm. the next generation, a biologist measures the offspring of the surviving finches and finds that their mean beak depth is 13 mm. what is the heritability (h2) of beak depth, to two decimal places?
If a biologist measures the offspring of the surviving finches and finds that their mean beak depth is 13 mm, the heritability (h2) of beak depth, to two decimal places is -0.33.
The heritability of a trait refers to the proportion of the variation in that trait within a population that can be attributed to genetic factors. In this case, the heritability of beak depth can be estimated using the following formula:
h2 = (response to selection) / (selection differential)
where the response to selection is the difference between the mean value of the trait in the next generation and the mean value in the current generation.
The selection differential is the difference between the mean value of the trait in the current generation of individuals that survive and reproduce and the mean value in the entire population.
Using the given data, the response to selection is 13 - 12 = 1 mm, and the selection differential is 12 - 15 = -3 mm. Therefore, the heritability of beak depth can be calculated as:
h2 = (1/-3) = -0.33
The negative value obtained here suggests that there may have been some measurement error or other factors influencing the results. It is important to note that heritability estimates are subject to various assumptions and limitations and should be interpreted with caution.
To learn more about heritability click on,
https://brainly.com/question/29116728
#SPJ4
9// Please help for 20 points!! thank you if you help
"Demetrius' local cell phone company charges for how much data he uses each month. The first 10 GB of data he uses costs $3 per GB. Once he exceeds the 10 GB, the company then charges $15 for each GB after. "
Given:
The first 10 GB of data costs $3 per GB.
After exceeds 10 GB, the company charges $15 for each GB.
Required:
We need to find the function for the given situation.
Explanation:
Let x be the number of GB that "Demetrius' used.
Let f(x) be the cost.
The first 10 GB of data costs $3 per GB.
\(\text{The first 10 Gb can be written as }0\leq x\leq10.\)\(f(x)=3x\text{ if }0\leq x\leq10.\)After exceeding 10 GB, the company charges $15 for each GB
\(After\text{ exceeding 10 GB can be written as }x>!0\)\(f(x)=15x\text{ if }x>10\)Final answer:
\(f(x)=\begin{cases}{3x\text{ if }0\leq x\leq10.} \\ {15x\text{ if }x>10.}\end{cases}\)PLEASE HELP ASAP! Will give brainliest to best answer!
Answer:
G
Step-by-step explanation:
It looks like it would be c=4b but 4*7 equals 28 not 30
what is the range of the function y = 2x - 3 if the domain is 1
Answer:
1.5
Step-by-step explanation:
y=2x - 3
0 = 2x - 3
-2x = - 3 /÷(-2)
x = 3 ÷ 2
x = 1.5 3/2
Answr this for a brainliest !
Answer:
y=-x+b
Step-by-step explanation:
m=-1
Answer:
y=-x+b
Step-by-step explanation:
m=-1
True or false (with a counterexample if false)?(a) The vectors that are not in the column space form a subspace.(b) If contains only the zero vector, then is the zero matrix.(c) The column space of equals the column space of .(d) The column space of equals the column space of .
(a) False; A subspace is formed by the set of vectors that do not belong to the column space.
(b) True; If the matrix contains solely the zero vector, then it is the zero matrix.
(c) True; The column space of a particular matrix is equivalent to the column space of another specified matrix.
(d) False; The column space of one matrix is identical to the column space of another matrix.
(a) False; if A = [1 0; 0 0], then the column space of A is { e1 }, where e1 is the standard unit vector in the plane. If v is not in the column space of A, but w is not in the column space of A, then v + w is not in the column space of A.
Therefore, the set of vectors that are not in the column space of A does not form a subspace.
(b) True; if every vector in Rn is in the null space of A, then in particular, every standard unit vector is in the null space of A. Thus, the ith column of A is zero for i = 1, . . . , n, so A is the zero matrix.
(c) True; the column space of A is generated by the columns of A, while the column space of AB is generated by linear combinations of the columns of AB. By definition of matrix multiplication, the columns of AB are linear combinations of the columns of A, so the column space of AB is a subspace of the column space of A. Conversely, let b be in the column space of A. Then there is an x in Rm such that Ax = b. Thus, ABx = A(Bx), so b is in the column space of AB. Therefore, the column space of A is a subspace of the column space of AB. Hence the two column spaces are equal.
(d) False; if A = [1 0; 0 0] and B = [0 0; 0 1], then the column space of A is { e1 }, while the column space of B is { e2 }. The column space of AB is { 0 }, so it is not equal to either column space.
To know more about column space: https://brainly.com/question/31061677
#SPJ11
Q9) Cruz, Gloria and Avery buy an apartment for $33 000. Cruz pays $12 2 points
000, Gloria pays $6000 and Avery pays the rest. Six years later they sell
the apartment for $25 300.They share the money in the same ratio that
they bought the apartment. How much money does Avery lose on the sale
of the apartment ?
$4500
$3500
$3000
Back
Answer:
I'm really sorry
Step-by-step explanation:
I'm just so sorry..
Consider the following table of activities A through G in which A is the start node and G is the stop node. Activity Duration (days) Predecessor A 5 -- B 8 A C 7 A D 6 A E 9 B, C, D F 10 B, C, D G 5 E, F On a piece of scratch paper, draw the network associated with this table and determine the following. What is the total slack for activity F? 4 (B) 2 (C) 1 (D) 3 (E) 0
The correct answer is 2 (C) - 2 days is the total slack for activity F. To determine the total slack for activity F, we need to calculate the slack for each activity in the network. Slack refers to the amount of time an activity can be delayed without affecting the project completion time.
1. First, let's draw the network using the information provided:
- A is the start node and G is the stop node.
- Activity A has a duration of 5 days and has no predecessor.
- Activities B, C, and D have durations of 8, 7, and 6 days respectively, and their predecessors are A.
- Activity E has a duration of 9 days and its predecessors are B, C, and D.
- Activity F has a duration of 10 days and its predecessors are B, C, and D.
- Activity G has a duration of 5 days and its predecessors are E and F.
A
/|\
/ | \
/ | \
B C D
\ | /
\ | /
\|/
E
|
F
|
G
2. Now, let's calculate the slack for each activity:
- Slack is calculated by subtracting the earliest start time of an activity from the latest start time without delaying the project completion time.
- The earliest start time for activity F is 17 days.
- The latest start time for activity F is 19 days (project completion time is 22 days).
- Total slack for activity F = latest start time - earliest start time = 19 - 17 = 2 days.
To know more about the slack, visit:
https://brainly.com/question/31577110
#SPJ11
How many solutions does the system have?
Answer:
Infinitely many solutions.
You basically have just one equation.
The top equation is the bottom equation times 5.
Step-by-step explanation:
Answer: C. Infinite many solution
Step-by-step explanation:
#1 simplify the first equation: 20x-5y=5
since the GCF in it is 5, we factor out 5
4x-y=1
#2 compare the first and the second equation
\(\left \{ {{4x-y=1} \atop {4x-y=1}} \right.\)
we can see that both equation are same, which means they present the same line.
Thus, they overlap and they have infinite many solution
Question 6: A) If f(x, y, z) = 2xyz subject to the constraint g(x, y, z) = 3x2 + 3yz + xy = 27, then find the critical point which satisfies the condition of Lagrange Multipliers.
Given f(x, y, z) = 2xyz, and function f(x) g(x, y, z) = 3x^2 + 3yz + xy = 27. To find the critical point which satisfies the condition of Lagrange Multipliers
we need to use the method of Lagrange multipliers as follows. Let's define λ as the Lagrange Multiplier and write the Lagrangian L as:L = f(x, y, z) - λg(x, y, z)Now, substitute the given functions to the above equation.L = 2xyz - λ(3x^2 + 3yz + xy - 27)Taking the partial derivative of L with respect to x and equating it to zero, we get0 = ∂L/∂x = 2yz - 6λx + λyUsing the same method, we get0 = ∂L/∂y = 2xz - 3λz + λx0 = ∂L/∂z = 2xy - 3λyThe given function is such that it becomes more complicated to find x, y, and z using the partial derivative method since they are very mixed up. Thus, we have to use other methods such as substitution method or solving the system of equations. So, we need to solve the system of equations:2yz = 6λx - λy2xz = 3λz - λx2xy = 3λyTo do this, we need to eliminate the λ's. Dividing the first equation by 6 and then substituting λy for z in the second equation, we get:y = 4x/3Substituting this into the third equation and solving for λx, we get:λx = 8/3Substituting these values for x and λx into the first equation, we get:2yz = 8y/3So, z = 4/3Substituting these values into the second equation, we get:2x * (4/3) = 3λz - λx8x/3 = 12λ/3λ = 2/3So, x = 1 and y = 4/3.Thus, the critical point is (x, y, z) = (1, 4/3, 4/3).
Learn more about function f(x) here:
https://brainly.com/question/28887915
#SPJ11
2. Ifj(x) = x2 + 1, find j(a + 1).
Step-by-step explanation:
if you mean x multiply 2 :
j(x) = 2x + 1
j(a+1) = 2(a+1) + 1
= 2a+ 2 +1
=2a + 3
if you mean x to the power of 2
j(x) = x^2 +1
j(a+1) = (a+1)^2 + 1
= a^2 + 2a + 1 +1
= a^2 + 2a + 2
Which rays are part of line BE?
E
O Ac and E
O AR and
Ac and AB
OAB and A
Rays AB and BE are part of line BE.
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
To find the rays which are part of line BE.
Here,, By figure, we have;
Rays AB and BE are part of line BE.
Thus, Rays AB and BE are part of line BE.
Learn more aboput the line segment visit:
https://brainly.com/question/280216
#SPJ5
Johann borrows money from his parents to purchase a bike. He makes weekly payments to his parents to repay the money
borrowed. The total amount of money repaid at the end of week n can be represented using the recursive formula
a,- 10+ an-1. At the end of the fourth week, Johann had repaid his parents a total of $55. What is the total amount Johann
had repaid his parents at the end of the first week?
Answer:
C
Step-by-step explanation:
Edge 2020
Answer:
C
Step-by-step explanation:
what is the sum of the infinite geometric series? –288 –216 –144 –72
The sum of the infinite geometric series –288 –216 –144 –72 is -1152.
The sum of an infinite number of terms having a constant ratio between successive terms is called as infinite geometric series.
Given series, -288, -216, -144, -72, ...
The sum of the infinite geometric series can be calculated as:
Sum = \(\dfrac{a}{1 -r}\)
Here, 'a' is the first term of the series and 'r' is the common ratio.
a = -288
The common difference can be calculated as:
r = \(\dfrac{(-216)}{(-288)}\)
= \(\dfrac{3}{4}\)
Substitute the values in the sum formula:
Sum = \(\dfrac{-288}{1 - \dfrac{3}{4}}\)
It can be simplified as:
Sum = -288 \(\times\) 4
= -1152
So, the sum of the infinite geometric series is -1152.
Learn more about geometric series here:
https://brainly.com/question/30264021
#SPJ12
use c for the amount (in dollars) also will spend on candy
Given:
Cost of each candy = $5
Maximum amount of candy he can buy = 8
Let's find the possible amount he will spend on candy.
Given that he will buy at most 8 pounds of candy, this means the total amount he will spend on candy will not be more than 8 pounds.
From the situation, we have the inequality:
\(5c\leq8\)Where c represents the amount he will spend on candy.
From the inequality above, let's solve for c.
To find c, divide both sides by 5:
\(\begin{gathered} \frac{5c}{5}\leq\frac{8}{5} \\ \\ c\leq1.6 \end{gathered}\)Therefore, Aldo will spend at most $1.6 on candy.
ANSWER:
\(\begin{gathered} inequality\colon5c\leq8 \\ \\ c\leq1.6 \end{gathered}\)Use a system of linear equations with two variables and two equations to solve. 238 students enrolled in a freshman-level chemistry class. By the end of the semester, 6 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.Passing Students: Failing Students:
Given:
Total number of students = 238
Let the number of passing students be x
We're given that 6 times the number of students passed as failed. Hence, the number of students:
\(=\text{ }\frac{x}{6}\)Hence, we can write:
\(\begin{gathered} x\text{ + }\frac{x}{6}\text{ = 238} \\ \frac{6x\text{ + x}}{6}\text{ = 238} \end{gathered}\)Solving for x:
\(\begin{gathered} \text{Cross}-\text{Multiply} \\ 7x\text{ = 238 }\times\text{ 6} \\ 7x\text{ = 1428} \\ \text{Divide both sides by 7} \\ x\text{ = 204} \end{gathered}\)Hence the number of passing students is 204 students
We can find the number of failing students by subtraction:
\(\begin{gathered} \text{Number of failing students = 238 - 204} \\ =\text{ 34} \end{gathered}\)Answer:
Passing students: 204
Failing students: 34
Num teste de resistência de um para-choques, um automóvel de 2300 kg que circula a 15 m/s, embate num obstáculo. Sabendo que a colisão durou 0,54 s, determina a intensidade média da força que atuou no automóvel.
Responder:
63.888,89N
Explicación paso a paso:
Fuerza = m (v-u) / t
m es la masa = 2300 kg
v es la velocidad final = 15 m / s
u es la velocidad inicial = 0 m / s
t es el tiempo = 0.54s
Sustituir
F = 2300 (15-0) /0,54
F = 2300 (15) /0,54
F = 34500 / 0,54
F = 63.888,89N
Por lo tanto, la intensidad de la fuerza que no está motorizada es 63,888.89N
simplify and solve each equation for the x
Answer:
19y - 7y = 1 + 4(x+2x)
y = 1/12 + x
x = y - 1/12
I hope this helps!
Equation for. A macine makes 5 buttons at a time.Each doll shirts get 5 buttons.How many doll shirts can be finished with 5 buttons?
1 doll shirt can be finished with 5 buttons if A machine makes 5 buttons at a time and Each doll shirt gets 5 buttons.
The given data is as follows:
Number of buttons the machine makes = 5 Buttons
Number of buttons that each doll shirt has = 5 Buttons
How many doll shirts can be finished with 5 buttons?
Here, we simply have to divide the number of buttons made each time by the number of buttons required for a doll shirt.
Mathematically,
doll shirts can be finished with 5 buttons =
( Number of buttons the machine makes / Number of buttons that each doll shirt has)
doll shirts can be finished with 5 buttons = 5/5 = 1
Therefore we can conclude that 1 doll shirt can be finished with 5 buttons.
To learn more about mathematical calculations
https://brainly.com/question/11996455
#SPJ4
how do i find the square root of a circle
Answer: by putting some clothes on
Step-by-step explanation:
comon man put some clothes on man do it for the kids
Tommy has canned tomatoes and is storing them in a plywood box. the diameter of each
can is 5 cm. the height of each can is twice its diameter. the cans just touch the sides of
the plywood box. each can is separated by a piece of plywood that is 0.2 cm thick. he
wants to cover the box with a lid that will sit exactly on its sides.
The
dimensions
of the lid that will sit exactly on the sides of the plywood box would be: Width = W + 0.2 cm = 5.2n + 0.2 cm., Length = L + 0.2 cm = 5.2m + 0.2 cm.These dimensions ensure that the lid will cover the entire box, including the plywood separators and the cans, sitting flush with the sides of the box.
To determine the dimensions of the lid that will sit exactly on the sides of the plywood box containing the canned tomatoes, we need to calculate the total width and length of the box.
Each can has a
diameter
of 5 cm, so the radius of each can is half of the diameter, which is 2.5 cm. The height of each can is twice its diameter, which is 10 cm.
When the cans touch the sides of the plywood box, the distance from the center of one can to the center of the next can, including the thickness of the plywood separator, is equal to the sum of the radius of one can, the
radius
of the other can, and the thickness of the plywood separator.
Therefore, the distance between the centers of two adjacent cans is:
2.5 cm + 2.5 cm + 0.2 cm = 5.2 cm.
Since the cans just touch the sides of the plywood box, the width and length of the box must be an integer multiple of the distance between the centers of the cans.
Assuming the width and length of the box are represented by W and L respectively, we have the following equations:
W = 5.2n, where n is a
positive integer
representing the number of cans in one row.
L = 5.2m, where m is a positive integer representing the number of cans in one column.
To cover the box with a lid that sits exactly on its sides, the lid's dimensions should be equal to the width and length of the box, taking into account the thickness of the plywood separators.
The width of the lid would be: W + 0.2 cm.
The length of the lid would be: L + 0.2 cm.
Learn more about
dimensions
at: brainly.com/question/31106945
#SPJ11
16 A function is given.
f(x)= (2x-2)(x − 3)
-
Use the Add Point tool to plot the zeros and the maximum or minimum value of the function.
The zeros of the function are x=1 and x=3, and the minimum value of the function is at x=2.
What is the polynomial function?
A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
To find the zeros, we set the function equal to zero and solve for x:
(2x-2)(x-3) = 0
This equation is true when either 2x-2=0 or x-3=0. Solving for x in each case, we get:
2x-2=0 => x=1
x-3=0 => x=3
So the zeros of the function are x=1 and x=3.
To find the maximum or minimum value of the function, we can take the derivative of the function and set it equal to zero:
f'(x) = 4x - 8
4x - 8 = 0 ----> x = 2
So the critical point of the function is x=2. To determine if this point is maximum or minimum, we can use the second derivative test:
f''(x) = 4
Since f''(2) > 0, the function has a minimum at x=2.
Therefore, the zeros of the function are x=1 and x=3, and the minimum value of the function is at x=2.
To learn more about the polynomial function visit:
https://brainly.com/question/2833285
#SPJ1