Answer:
Step-by-step explanation: I need help
Lucy rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total more than 10.
Answer:
Answer:
The probability of obtaining the sum of 10 is 1/12 or 0.0833
Step-by-step explanation:
Given
2 fair dice
Required
Probability of obtaining the sum of 10
To solve this, we have to list out the sample space.
Sample space is the total possible sum that can be obtained when she rolls the dice.
Let the first die be represented with S1 and the second be represented with S2.
S1 = {1,2,3,4,5,6}
S2 = {1,2,3,4,5,6}
To get the sample space, we have to add individual elements of S1 and S2.
This is done as follows.
When S1 = 1 and S2 = {1,2,3,4,5,6}
Sum = 1+1, 1+2, 1+3, 1+4, 1+5, 1+6
Sum = 2, 3, 4, 5, 6, 7
When S1 = 2 and S2 = {1,2,3,4,5,6}
Sum = 2+1, 2+2, 2+3, 2+4, 2+5, 2+6
Sum = 3,4,5,6,7,8
Using the same pattern as used above
When S1 = 3 and S2 = {1,2,3,4,5,6}
Sum = 4,5,6,7,8,9
When S1 = 4 and S2 = {1,2,3,4,5,6}
Sum = 5,6,7,8,9,10
When S1 = 5 and S2 = {1,2,3,4,5,6}
Sum = 6,7,8,9,10,11
When S1 = 6 and S2 = {1,2,3,4,5,6}
Sum = 7,8,9,10,11,12
Writing out the Sum, will give us the sample space.
Sample Space = {2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12}
The sample space has a total of 36 elements
To calculate the probability of obtaining the sum of 10,
We have to count the number of 10's in the sample space
Number of 10 = 3
Probability = Number of 10 / Number of Sample Space
Probability = 3 / 36
Probability = 1/12
Probability = 0.0833
Hence, the probability of obtaining the sum of 10 is 1/12 or 0.0833
Multiply −47(−35)(−73). Simplify your answer.
Answer: -120085
Step-by-step explanation:
Quadratic functions 2. Did I do it right
Can someone help me!!
Answer:
Its not clear what form to write this equation in but the relationship is that 3 cubes are added from figure to figure. The best equation i can think off would be y=x+3. This is because the new figure, y, is equal to the figure before it plus 3
y=x+3 is the best answer in this case
Step-by-step explanation:
can someone please help me ASAP
Answer:
42 degrees
Step-by-step explanation:
Answer:
x=42°
Step-by-step explanation:
In any triangle, when all three angles are added together, their sum will always be 180°:
∠1+∠2+∠3=180
Insert any known values:
[tex]29+109+x=180[/tex]
Simplify the addition:
[tex]138+x=180[/tex]
Use inverse operations to find angle three. Subtract 138 from both sides:
[tex]138-138+x=180-138\\\\x=42[/tex]
Therefore, the unknown angle is 42°.
:Done
Rounded to the nearest whole number, approximately how many inches is 8.39 kilometers?
A.
21,311 inches
B.
33,018 inches
C.
213,106 inches
D.
330,180 inches
Answer:
D. 330,180 Maybe?
Step-by-step explanation:
8.39 Kilometers = 330314.961 Inches
I rounded to 330,315
Help ASAP!!!!!!! Points
Answer:
A: (3x+24):3x = 85:51
Step-by-step explanation:
85 seems to be the total (RT + TP). 51 seems to be just TP alone.
This means that for the side lengths above, it should be in this format:
(length of QP):(length of SP)
The length of QP is 3x+24, as 3x is SP and QS is 24.
The length of SP is just 3x.
I hope this made sense, please leave a comment if it didn't ^^'
Answer:
∆RPQ ~ ∆TPS
now
RP: TP=QP:SP
(34+51);51=(3x+24):3x
(3x+24):3x=85:51 is your answer
a truck that can carry no more than 6200 pounds is being used to transport refrigerators and upright pianos eat refrigerator weighs 250 pounds in each piano weighs 425 pounds right and graph an inequality to show how many refrigerators and how many pianos the truck carry what 11 refrigerators and eight panels overloaded truck explain let X the number of refrigerators in the truck y the number of pianos in the truck right in any quality to show how many refrigerators and how many pianos the truck carry
Answer:
sorry i just need points but ya
Step-by-step explanation:
The function f and g are such that f(x) =2x + 5 /(x -4) and g(x) = 2x – 3 Calculate the value of(i) g(4) (ii) fg(2) (iii) gˉ¹(7)
Answer:
g(4) = 5, fg(2) = 7/-3, gˉ¹(7) = 2
Step-by-step explanation:
i.) g(4)= 2(4) -3
g(4) = 8 -3
g(4) = 5
ii.) fg(2)
g(2) = 2(2)-3
g(2)= 4-3
g(2) = 1
fg(2) = 2(1)+5/1-4
fg(2) = 7/-3
iii.) g(x) = 2x -3
g(y) = 2y -3
x = 2y -3
x-3 = 2y
y= (x-3)/2
gˉ¹(7) = ((7)-3)/2
gˉ¹(7) = 4/2
gˉ¹(7) = 2
Given: Triangle ABC with vertices A(5,-2), B(5.-7), and C(1, -2). Which set of
coordinates best repositions the triangle to make a coordinate proof easier?
Answer: C (0,0), (-4,0) and (0, -5)
Step-by-step explanation:
After repositioning the triangle, the vertices will be A(0, 0), B(0, -5), and C(-4, 0). This new positioning will make the coordinate proof easier since the coordinates are now simpler, and one vertex is located at the origin, which often simplifies the calculations in coordinate geometry proofs.
To make a coordinate proof easier, it's helpful to reposition the triangle in a way that simplifies the calculations and coordinates. In this case, you can reposition the triangle by translating it so that one of its vertices aligns with the origin (0, 0). This process is known as translation.
Let's reposition the triangle so that vertex A(5, -2) aligns with the origin (0, 0). To do this, we need to subtract the x-coordinate of vertex A from all the x-coordinates of the other vertices and subtract the y-coordinate of vertex A from all the y-coordinates of the other vertices.
The new coordinates for the repositioned triangle will be:
A(5, -2) -> A(0, 0) (remains the same, as it aligns with the origin)
B(5, -7) -> B(5 - 5, -7 - (-2)) -> B(0, -5)
C(1, -2) -> C(1 - 5, -2 - (-2)) -> C(-4, 0)
To know more about coordinate geometry proofs.:
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what is the equation of the line in slope intercept form
A high school football team scored 39 points in the game last night, with a combination of touchdowns (6 points each), extra points (1 point each), and field goals (3 points each).
The team make 1 more extra point than field goals, represented by the equation e=f+1, where e is the number of extra points and f is the number of field points scored.
They also scored five times as many points on touchdowns as field goals, represented by the equation 6t=15f, where t is the number of touchdowns and f is the number of field goals scored.
Write a system of equations representing this situation and use it to complete the statement.
The team scored __ touchdowns, __ extra points, and __ field goals.
Answer:
39=6t+3f+e
39=19f+1
5 touchdowns, 3 extra points, and 2 field goals.
Step-by-step explanation:
e=f+1
6t=15f
39= 6t +3f +e
^ ^ ^
39=(15f)+(3f)+(f+1) | e=f+1 | 6t=15f
39=19f+1 | e=2+1 | 6t=15(2)
38=19f | e=3 | 6t=30
f=2 | | t=5
(PLEASE SOLVE ASAP)The container that holds the water for the football team is 2/3 full. After pouring out 4 gallons of water, is is 4/9 full. How many gallons can the container hold?
2/3 is 6/9 so 2/9 was poured out...
if 4 gallons is 2/9ths it would be
4*2+2
8+2
10gallons
Which expression is undefined
Answer:
A
Step-by-step explanation:
Any rational expression where the denominator is zero is undefined.
The only expression where the denominator is zero is A [tex]\frac{7}{0}[/tex]
what is the shortest possible distance between the houses
Answer:
A.) 8.5 miles
Step-by-step explanation:
I think its a because it says "THE SHORTEST possible" distance between the houses. So A.) 8.5 miles is the correct answer because A.)8 .5 miles is the shortest answer in the list of answers.
Hope this helped.
The shortest distance between the two houses is 13 miles.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
By observing the diagram we conclude that the shortest distance is the hypotenuse of the right-angled triangle that will form.
Given, The base is 12 miles and the height is 5 miles.
Therefore by Pythagoras' theorem,
Hypotenuse = √(5² + 12²).
Hypotenuse = √(25 + 144).
Hypotenuse = √(169).
Hypotenuse = 13 miles.
So, The shortest distance between the houses is 13 miles.
learn more about Pythagoras' theorem here :
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Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y= 8x +7
Step-by-step explanation:
slope-intercept form:
y= mx +c, where m is the gradient (or slope) and c is the y-intercept.
Since it is a linear function, the gradient of any 2 points would be equal.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Thus, gradient of the line
[tex] = \frac{39 - 23}{4 - 2} \\ = \frac{16}{2} \\ = 8[/tex]
Subst. m=8 into the equation:
y= 8x +c
To find the value of c, substitute a pair of coordinates.
When x=0, y= 7,
7= 8(0) +c
c= 7
Thus, the equation of the linear function is y= 8x +7.
What is the equation of the line shown in this graph?
Answer:
y = 1
hope that helps you
A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 33 chaperones for a field trip with 24 2424 students.
Answer:
Step-by-step explanation:
3 chaperones for every 24 students or 3:24
so that would be 1 chaperone for every 8 students
hi, can someone help me on a p e x? learning
Sure whats the problem?
The value of the expression 5³ is 125.
We have,
The concept used in calculating the value of 5 raised to the power of 3 is exponentiation.
In mathematics, exponentiation is an operation that involves raising a base number to a certain power.
The base number (in this case, 5) is multiplied by itself repeatedly, where the number of times it is multiplied is determined by the exponent (in this case, 3).
When we raise 5 to the power of 3, we can interpret it as multiplying 5 by itself three times:
5³ = 5 x 5 x 5 = 125
So, the concept of exponentiation allows us to quickly calculate the result of multiplying a number by itself multiple times, where the exponent indicates the number of repetitions.
Thus,
The value of the expression 5³ is 125.
Learn more about expressions here:
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The complete question:
What is the value of 5 raised to the power of 3?
Which of the following is an open statement
Answer:
where are the options please
what are the lengths of the sides of a square which has an area of 81 cm
Answer:
9 cm
Step-by-step explanation:
If the area is 81 cm², this means that the length is 9 cm as length² of a square equals its area.
Which of the relations below is a function?
{(2, 3), ( 3, 4), (6, 2), (3, 3)}
{(2, 3), (3, 4), (5, 1), (2, 4)}
{(2, 3), (3, 4), (6,2), (7,3)}
Answer:
k
Step-by-step explanation:
dw
Answer:
K
Step-by-step explanation:
Dw. Please give me like
Find the sale price to the nearest cent.
$325 tent; 15% discount
Answer:
$276.25
Step-by-step explanation:
$325 times (100% -15%)
$325 times 0.85
One number is five more than another. If their sum is increased by nine, the result is 60. Find the numbers.
Answer:
The two numbers are 23 and 28
Step-by-step explanation:
We are given that
[tex]X = Y + 5\\and\\(X+Y) + 9 = 60\\X+Y = 51\\(Y+5) + Y = 51\\2Y + 5 = 51\\2Y = 46\\Y = 23\\\\X = Y + 5\\X = 23 + 5\\X = 28[/tex]
$10.50 for 3 pounds round to the nearest hundredth can u solve the other pens too .
Answer: 3: $3.50 for one pound
4: The value of X is 10
5: P has the value of 2
Step-by-step explanation:
what is the effect on the graph of the function f x is equal to the square root of x - 2
Answer:
g(x) = (x-3)^2 - 3
Step-by-step explanation:
to move up or down just add or subtract the constant equal to the units moved
so just to move it DOWN 3 would give us
g(x) = x^2 - 3
to move horizontally replace each x with (x ± c)
if you move it to the right, you need x - c
if you move it to the left , you need x + c
so , since we are moving 3 units to the right, we replace the x with x-3
g(x) = (x-3)^2 - 3
sorry if I get it wrong.
Help please! (the is question in the picture)
Answer:
Side b is 3.19
Information:
The following image has all the lengths solved in the triangle. Also, here are the degrees of the three angles:
∠C is 112 degrees
∠B is 56 degrees
∠A is 12 degrees
Hope this helps and answers you question :)
is the following true or false? d3/dx3(xsin(x))=-xcos(x)-3sin(x)
Answer:
Step-by-step explanation:
That is a true statement.
The first derivative is
[tex]f'(x)=xcos(x)+sin(x)[/tex]
The second derivative is
[tex]f"(x)=-xsin(x)+2cos(x)[/tex]
The third derivative is
[tex]f'''(x)=-xcos(x)-3sin(x)[/tex]
If you don't know how to find a derivative at this point, you'll be in a lot of trouble when it comes to integration. I recommend learning these.
How does the multiplicity of a zero affect the graph of the polynomial function?
Select answers from the drop-down menus to correctly complete the statements.
The zeros of a seventh degree polynomial function are 1 (multiplicity of 2), 2, 4, and 6 (multiplicity of 3).
The graph of the function will cross through the x-axis at
Choose... (a) 1 only b) 1 and 2 only c)2 and 4 only d) 1, 2 and 6 only e) 2, 4 and 6 only)
The graph will only touch (be tangent to) the x-axis at
Choose...(a) 1 only b) 6 only c)2 and 4 only d) 1, 2 and 6 only e) 2, 4 and 6 only)
At the zero of 6, the graph of the function will
Choose...(a) cross through while hugging b)come close to but never touch c)be tagent to) the x-axis.
Answer:
The multiplicity of a root affects the shape of graph of a polynomial. If a root of a polynomial has odd multiplicity, the graph will cross the x-axis at the root. If a root of a polynomial has even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis
Step-by-step explanation:
Tbh I don't know the answer I just hope this helps
HELP IMMA- FLIP IM DESPERATE
Answer:
The line that matches the equation y=2x+4 is line e.