Answer:
Expected win = $15.17 to the nearest cent.
Step-by-step explanation:
Expected win = (1/6)*(1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2) = 15.167 or $15.17 to the nearest cent.
The positive expected value means that Monica wins 1.17 dollars on average for each roll.
==================================================
Explanation:
The sample space is {1,2,3,4,5,6} to represent the outcomes of the die.
Of that list, {2,3,5} are prime numbers. Note that 1 is not a prime number. It's not composite either. So Monica will lose money when she rolls a 1. If she rolls {4,6} then she wins 0 dollars.
For any single roll, the probability of landing on that value is 1/6
Multiply 1/6 by each winning amount. Then add up the products
(1/6)*(-3) + (1/6)*(2) + (1/6)*(3) + (1/6)*(0) + (1/6)*(5) + (1/6)*(0)
-3/6 + 2/6 + 3/6 + 5/6
(-3+2+3+5)/6
7/6
1.17 approximately
Monica will get about 1.17 dollars per roll on average. She only loses money on average if the expected value was negative.
Please help me with this problem from my geometry:((
Which expression is equivalent to *picture attached*
Answer:
The correct option is;
[tex]4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )[/tex]
Step-by-step explanation:
The given expression is presented as follows;
[tex]\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right )[/tex]
Which can be expanded into the following form;
[tex]\sum\limits _{n = 1}^{50} \left (4\cdot n^2 + 3 \cdot n\right ) = 4 \times \sum\limits _{n = 1}^{50} \left n^2 + 3 \times\sum\limits _{n = 1}^{50} n[/tex]
From which we have;
[tex]\sum\limits _{k = 1}^{n} \left k^2 = \dfrac{n \times (n+1) \times(2n+1)}{6}[/tex]
[tex]\sum\limits _{k = 1}^{n} \left k = \dfrac{n \times (n+1) }{2}[/tex]
Therefore, substituting the value of n = 50 we have;
[tex]\sum\limits _{n = 1}^{50} \left k^2 = \dfrac{50 \times (50+1) \times(2\cdot 50+1)}{6}[/tex]
[tex]\sum\limits _{k = 1}^{50} \left k = \dfrac{50 \times (50+1) }{2}[/tex]
Which gives;
[tex]4 \times \sum\limits _{n = 1}^{50} \left n^2 = 4 \times \dfrac{n \times (n+1) \times(2n+1)}{6} = 4 \times \dfrac{50 \times (50+1) \times(2 \times 50+1)}{6}[/tex]
[tex]3 \times\sum\limits _{n = 1}^{50} n = 3 \times \dfrac{n \times (n+1) }{2} = 3 \times \dfrac{50 \times (51) }{2}[/tex]
[tex]\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right ) = 4 \times \dfrac{50 \times (50+1) \times(2\times 50+1)}{6} +3 \times \dfrac{50 \times (51) }{2}[/tex]
Therefore, we have;
[tex]4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )[/tex].
thanks for helping me out y’all if anyone of y’all play roblox mine is ( colIapsinq ) the second L is a capital ( i )
Answer:
1. 5
2. 6
3. 8
4. 200
Step-by-step explanation:
I said the answer already
first 5
next 6
then 8
lastly 200 my accounts (try both of them) king1ev15 and/or king1ev151
Find all the values of k so that the quadratic expression factors into two binomials. Explain the process used to find the values. 3x^2 + kx - 8 Thanks anyone for help :)))
Answer: The answer is (-1/6, -k/6- 95/12)
Step-by-step explanation:
I copy and and pasted the question on to an online calculator because mathmatics is not my strongsuit.
The values of k for the quadratic equation 3x² + kx -8 are (-∞, ∞).
Given Quadratic equation: 3x² + kx -8.
The quadratic expression can be factored into two binomials if it has two real roots.
Discriminant
When b² - 4ac > 0, two real roots.
When b² - 4ac = 0, one real roots.
When b² - 4ac < 0, no real roots.
So, k² - 4(3)(-8) ≥ 0
k² + 96 ≥ 0
k² ≥ - 96
This is true for any value of k and k ∈ (- ∞, + ∞).
Therefore, the values of k are (-∞, ∞).
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Is 31/50 greater than 1/2
Answer:
Yes
Step-by-step explanation:
You can take 1/2 and find a common denominator if this helps you.
We will multiply 1/2 by 25/25 because 25/25 equals 1 so you get the same amount just with a different numerator and denominator. So you get 25/50 and then you compare. 31/50 > 25/50
Which is a factor of x2 + 5x − 24?
Answer:
(x−3)(x+8)
Step-by-step explanation:
The middle number is 5 and the last number is -24.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 5
Multiply together to get -24
Can you think of the two numbers?
Try -3 and 8:
-3+8 = 5
-3*8 = -24
Fill in the blanks in
(x+_)(x+_)
with -3 and 8 to get...
(x-3)(x+8)
Which of the following is a valid reason why the quadrilateral shown below is
a parallelogram?
A. Both pairs of opposite sides are parallel.
B. The diagonals bisect each other.
C. The diagonals are congruent.
D. Both pairs of opposite sides are congruent.
A parallelogram is a quadrilateral with two pairs of parallel sides.
Option A is the correct answer.
What is a parallelogram?Parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
A parallelogram is a quadrilateral with two pairs of parallel sides.
So, option A is a valid reason for the given quadrilateral to be a parallelogram.
The other options do not necessarily hold true for all parallelograms. For example, the diagonals of a parallelogram bisect each other and are congruent, but not all quadrilaterals with bisecting diagonals are parallelograms.
Similarly, not all parallelograms have congruent diagonals or congruent opposite sides.
Thus,
A parallelogram is a quadrilateral with two pairs of parallel sides.
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HELP PLZ I AM BEING TIMED!!!
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS IN 2 MINUTES!!
Which describes how square S could be transformed to square S prime in two steps? Assume that the center of dilation is the origin. On a coordinate plane, square S has points (0, 0), (5, 0), (5, negative 5), (0, negative 5). Square S prime has points (0, 1), (0, 3), (2, 3), (2, 1). a dilation by a scale factor of Two-fifths and then a translation of 3 units up a dilation by a scale factor of Two-fifths and then a reflection across the x-axis a dilation by a scale factor of Five-halves and then a translation of 3 units up a dilation by a scale factor of Five-halves and then a reflection across the x-axis
Answer:
Option A.
Step-by-step explanation:
The vertices of square S are (0,0), (5,0), (5,-5) and (0,-5).
The vertices of square S' are (0,1), (0,3), (2,3) and (2,1).
It is given that center of dilation is (0,0). From the point it is clear that the distance between point of S and origin is greater that S'. It means the scale factor is less than 1.
If scale factor is 2/5, then
[tex](x,y)\to (\dfrac{2}{5}x,\dfrac{2}{5}y)[/tex]
[tex](0,0)\to (\dfrac{2}{5}(0),\dfrac{2}{5}(0))=(0,0)[/tex]
[tex](5,0)\to (\dfrac{2}{5}(5),\dfrac{2}{5}(0))=(2,0)[/tex]
[tex](5,-5)\to (\dfrac{2}{5}(5),\dfrac{2}{5}(-5))=(2,-2)[/tex]
[tex](0,-5)\to (\dfrac{2}{5}(0),\dfrac{2}{5}(-5))=(0,-2)[/tex]
If the figure translated 3 units up, then
[tex](x,y)\to (x,y+3)[/tex]
[tex](0,0)\to (0,0+3)=(0,3)[/tex]
[tex](2,0)\to (2,0+3)=(2,3)[/tex]
[tex](2,-2)\to (2,-2+3)=(2,1)[/tex]
[tex](0,-2)\to (0,-2+3)=(0,1)[/tex]
These are the vertices of square S'.
A dilation by a scale factor of two-fifths and then a translation of 3 units up are used to get square S' from S.
Therefore, the correct option is A.
A number squared added to 16
Answer:
Sry i dont understand what ur trying to say but if ur asking what number squared will give u 16 its 4
Step-by-step explanation:
Answer:
im pretty sure the answer is 4 but i don't rlly understand the question
Step-by-step explanation:
3. What is the degree of the polynomial 3x^4 + 2x^2 + 5x? *
Answer:
the degree of that polynomial is 4
Hi. Please i need help with this question .
workings please
Find the perimeter of the diagram.
a. 41cm
b. 38cm
c. 37cm
d.35cm
e. 32cm
Answer:
b. 38 cm.
Step-by-step explanation:
Note that the 2 sides which are unmarked are the opposite sides of 2 rectangles so they are both = 2 cm.
Now we just add all the given sides.
Starting with 6 on the top and travelling clockwise:
Perimeter = 6 + 2 + 2 + 3 + 3 + 2 + 7 + 2 + 3 + 3 + 3 + 2
= 38 cm.
PLEASE HELP! 20 POINTS! Rewrite x2 - 8x + 13 = 0 in the form (X - a)2= b, where a and b are integers, to determine the a and b values.
O a = 4 and b = 3
O a = 3 and b = 2
O a = 2 and b = 1
a = 1 and b = 4
Answer:
a =4 and b= 3
Step-by-step explanation:
PLZ HELP
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
A. 28 + 65H < 250
B. 28 + 65H > 250
C. 65 + 28H < 250
D. 65 +28H > 250
2) What is the largest whole number of hours that Anand can afford?
Answer:
c
6 whole hours
Step-by-step explanation:
why is the site not working i am clicking see answers and nothing pops up is this only happening to me?
Answer:same here
Step-by-step explanation:
Given: Circumscribed △XYZ XY=7, YZ=8. ZX=5 Find: AX, BY, CZ
Answer:
AX=2 BY=5 CZ=3
Step-by-step explanation:
Lets call AX (x). Once you do so, one can tell that AZ=5-x. CZ is also 5-x. BX is also x. Therefore you can say that BY=7-x which makes CY 7-x. Now for side YZ, CZ is 5-x and CY is 7-x.
5-x+7-x=8
solving that you get x=2
AX=2
BY=7-x=5
CZ=5-x=3
Hope this explains some more than the other answer. Please ask any questions.
Find the measure of b.
The lines around the angle is saying that they are corresponding. so the angle of b is 25
Answer:
[tex]\boxed{<b = 25}[/tex]
Step-by-step explanation:
Two angles in the same sector/segment have congruent measures.
So, <b = 25 (These are the two angles in the same segment).
Find $y$ if the point $(-6,y)$ is on the line that passes through $(-1,7)$ and $(3,-2)$.
Answer:
y = 18.25
Step-by-step explanation:
The 2-point form of the equation of a line can be used to write the equation of the line through the given points.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-2 -7)/(3 -(-1))(x -(-1)) +7
y = -9/4(x +1) +7
For x = -6 this evaluates to ...
y = -9/4(-6 +1) +7 = (9/4)(5) +7 = 45/4 +7
y = 18 1/4
Solve the system using elimination 7x+2y=10 -7x+y=-16
Answer:
x=2, y=-2
Step-by-step explanation:
7x+2y=10
-7x+y=-16
-------------------
0x + 3y = -6
Divide each side
3y/3 = -6/3
y = -2
Now find x
7x +2y = 10
7x + 2( -2) = 10
7x -4 = 10
Add 4 to each side
7x -4+4 = 10+4
7x= 14
Divide by 7
7x/7 = 14/7
x = 2
Since one equation has a 7x and and the other equation has a -7x,
when we add the equations together, the x's will cancel out.
So we have 3y = -6 and y = -2.
To find x, plug -2 back in for y in either of the two original equations.
I've chosen to plug -2 into the first equation to get 7x + 2(-2) = 10.
Solving from here, x = 2.
So our final answer is the ordered pair (2, -2).
Now, check your answer.
The stem-and-leaf plot shows the number of points scored by the Bears in each of their basketball games this season. Identify the mean and median, as
well as how many games they scored at least 30 points. Round to nearest tenth for any calculations.
STEM
LEAF
1
89
2
02336889
3
01 4 4 5 6 8 9
4
012
113
8 = 18 points
Answer:
Mean = 30.3
Median = 30
They scored 30 or more points on 11 games.
Step-by-step explanation:
Mean = all the numbers added together divided by 21
636/21 = 30.3
Median is the middle number (the 11th) = 30
(20 POINTS!!!) Richie and his brother have a paper route. Together they can deliver all of the papers in 40 minutes, and Richie can do it alone in 90 minutes. Richie’s brother slept in one day, leaving Richie to deliver alone for 30 minutes. How long must the two of them work together to finish delivering the newspapers?
Simplify equation: 14 - 7y + 5 = 1 + 3y + 24
simplify again: 19 - 7y = 25 + 3y
add -25 and 7y to both sides: -6 = 10y
y = -6/10 or -0.6
2. After 30 minutes, richie has delivered 1/3 of the papers, so they have to deliver the remaining 2/3. Since they can deliver them all in 40 minutes, would the answer be 2/3 of 40? I'm not sure about this.
WILL GIVE BRAINLIEST George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w. A rectangle labeled Dog run has a length of 30 feet and width of (30 minus x) feet. How many feet of fencing will George need for the dog run? 22 feet 68 feet 76 feet 82 feet
Answer:
b68
Step-by-step explanation:
Answer:
68 FEET
Step-by-step explanation:
B pls give me brainliest
The function shown in the graph is A) f(x) = x - 1 B) f(x) = 2x - 1 C) f(x) = x - 0.5 D) f(x) = 2x - 0.5
Answer:
B
Step-by-step explanation:
B because the y-intercept is (0,-1) and another point is (5,9). Using the slope formula, 10/5=2 so the right equation is B.
in a group of people for every 20 people 7 of them have blue eyes a) write the ratio of the number of people with blue eyes to the total of people in fraction form b) if there are 100 total people how many how many of them have blue eye? explain how u found your answer
Answer:
a) 7 : 20
b)There will be 35 people with blue eye
Step-by-step explanation:
a)
This question is asking you the ratio of the number of people with blue eyes to the total number of people.
So seven people with blue eyes to the total number of 20 people.
7 : 20
b)
you got the ratio 7 : 20, this also means that there will be 7 people with blue eyes in every 20 people.
so you use 100 divides by 20, you will get the number five, this means there are 5 groups of 20 in 100 people.
so then you use 5 times 7, then you got the number 35.
That means, there are 35 people with blue eyes in 100 people.
Jeremy is taking a photography class, but he doesn't own a camera. The class organizers will rent him a camera for $6 per day. Jeremy can spend up to $50 for the class, but he has to pay $15 to register for the class as well as rent the camera. The number of days, d, that Jeremy can rent the camera is represented by the inequality 6d + 15 < 50. Select the number of days Jeremy can rent the camera with the money he has. A. 5 B. 6 C. 8 D. 9 E. 10
Answer:
A. 5
Step-by-step explanation:
6d+15<50
subtract 15 from both sides
6d<50-15
6d<35
divide both sides by 6
d<35/6
d<5 5/6
So he can only rent it for 5 days. If he rented for 6, it would be $51, which is too much.
Solving the given inequality for d, we get...
6d + 15 < 50
6d + 15-15 < 50-15 <<-- subtract 15 from both sides
6d < 35
6d/6 < 35/6 <<--- divide both sides by 6
d < 5.83
Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}
The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all
The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days
Any larger value of d is not allowed as it would make the total cost go over $50
Notice how I'm rounding down regardless how close 5.83 is to 6
Help me ASAP for this question the picture are the answers
If triangle BAT is similar to triangle ROD (ABAT AROD), which of the following statements is incorrect?
Answer:
I'm pretty sure it's the last one that is incorrect
Step-by-step explanation:
Answer:
The first one - “line segment TA is congruent to line segment DO” is incorrect
Step-by-step explanation:
Since the triangles are similar, the angle measurements would be the same (congruent), but the line segments are are only similar, not congruent, as they have different lengths. So the first statement is incorrect.
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. A square labeled 16 x squared minus 40 x + 25 What is the side length, in inches, of the pet shop sign? 4x + 5 4x – 5 8x + 5 8x – 5
Answer:
D: 8x-5 is your answer
Which of the following is true about a point? It is a location. It is infinitely long. It has an endpoint. It has width.
Answer:it is a location
Step-by-step explanation:
The others are simply wrong
The statement that can be said to be through about point is that a point is a location.
A point is a location in a geometry space used in demarcating an area or region with a dot representation. It does not have any long line or an endpoint. It does not also have a length or width. It is usually used to make a notion about a specified region.
For example: If I want to measure a distance of 6 cm. I can place my divider from the mathematical set on the meter-rule and measure out 6 cm.
Then, place 6 cm on the plain sheet to show two different dots indicating the distance of 6cm before I draw the distance of 6cm with my drawing pencil.
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What are the remaining angle measures if the figure is
to be a parallelogram?
mZB=
mZC=
m2D =
Answer:
The answer is given below
Step-by-step explanation:
Given that the parallelogram ABCD has m∠A = 79°
A parallelogram is a quadrilateral with two pairs of parallel lines. For a parallelogram, opposite sides of a parallelogram is equal and opposite angles are also equal. Also the diagonal of a quadrilateral bisect each other.
m∠C = m∠A = 79° (opposite angles of a parallelogram are congruent)
m∠C = 79°
m∠B + m∠A = 180° (consecutive angles of a parallelogram are supplementary)
m∠B + 79 = 180
m∠B = 180 - 79
m∠B = 101°
m∠B = m∠D = 101° (opposite angles of a parallelogram are congruent)
m∠D = 101°
What is the surface area of this cone?
Use a ã 3.14 and round your answer to the nearest hundredth.
6 m
4 m
square meters
Answer:
52.28 sq m
Step-by-step explanation:
SA=pi r(r+ the square root of h-squared and r-squared)
SA=3.14x2(2+the square root of 36 and 4)
SA=3.14x2(8.32)
SA=52.28 sq m
The Surface area of the given cone is 50.24 meter square
What is Cone?A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the or vertex.
What is Surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given,
Slant height l = 6 meter
Radius of the base r = [tex]\frac{4}{2} =2[/tex] meter
Surface area of the Cone = [tex]\pi rl+\pi r^{2}[/tex]
=[tex]\pi (2)(6)+\pi (2^{2} )[/tex]
=50.24 meter square
Hence, the surface area of the given cone is 50.24 meter square
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Which of the following equations demonstrate that the set of polynomials is
not closed under the certain operations?
IN
O A. Division: (x2-5x+3) =(x- 2) = x- 3+
X-2
B. Subtraction: 8x* + x*)-(-2x + x) = 5x
O C. Addition: (x2 + x) + (x + 1) = x2 + 2x+1
D. Multiplication: (x2 - 5x+3)(x-5)= x - 10x2 +28x - 15
Answer:
A. Division: (x2-5x+3) =(x- 2) = x- 3+
X-2
Step-by-step explanation:
A. Division: (x2-5x+3) =(x- 2) = x- 3+ -3/X-2
This is not a polynomial since we have an x in the denominator