Answer:
4.4
Step-by-step explanation:
The sum of the probabilities of all possible outcomes is 1.
As the die is loaded so that the number 4 occurs 3/10 of the time, and the other numbers occur with equal frequency, then the probability of numbers 1, 2, 3, 5, 6, 7 and 8 being rolled is 1/10.
Create a probability distribution table for X, where X is the score on the loaded 8-sided die:
[tex]\begin{array}{ | c | c | c | c | c | c | c | c | c |}\cline{1-9}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\cline{1-9} & & & & & & & &\\ \text{P}(X=x) & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{3}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10}\\& & & & & & & &\\\cline{1-9}\end{array}[/tex]
Add a product row and a totals column:
[tex]\begin{array}{ | c | c | c | c | c | c | c | c | c | c |}\cline{1-10}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 &\text{Total} \\ \cline{1-10} &&&&&&&&& \\ \text{P}(X=x) & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{3}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & 1\\ &&&&&&&&&\\ \cline{1-10} &&&&&&&&&\\\text{Product} & \frac{1}{10} & \frac{2}{10} & \frac{3}{10} & \frac{12}{10} & \frac{5}{10} & \frac{6}{10} & \frac{7}{10} & \frac{8}{10} & \frac{44}{10} \\ &&&&&&&&&\\\cline{1-10}\end{array}[/tex]
(The Product is row is the product of the score on the die and its probability).
The expected value (EV) is the sum of the product of each outcome and its probability.
Therefore, the expected value (EV) of this die is 44/10 = 4.4
Need help with this geometry question
Answer:
Complementary: Angle SRP and Angle PRQ
Supplementary: Angle SRO and Angle SRQ
Step-by-step explanation:
Complementary: 90 degrees
Angle SRP and Angle PRQ
Supplementary: 180 degrees
Angle SRO and Angle SRQ
PLEASE HELP ME
Whats the circumstances of a circle with a radius of 2 inches? use 3.14 for pi
Answer:
12.56 Inches
Step-by-step explanation:
1. The formula to find the circumference is 2 * Pi * r
2. Using this formula we get 2 * 3.14 * 2 = 12.56
3. The radius is in inches so our final answer will also be in inches.
Answer:
The Circumference of the circle would be 12.56 inches
Step-by-step explanation:
All you have to do is multiply the radius by 2 the multiply by pi (3.14)
Use the formula and you will get that the circumference is 12.56
Hope this helped! :D
Which expression is equivalent to sin (pi/12)cos(7pi/12) -cos(pi/12)sin(7pi/12) ?
Answer:
-1
Step-by-step explanation:
We see the given expression is equal to sin(pi/12 - 7pi/12), which is equal to sin(-pi/2), or just -1.
? Question
Segment FG is on a number line with point F at 1.2. Point H lies on FGat 3.15. Point H is the length of FGfrom point G. What
are the location of G and the length of FG?
Type the correct answer in each box. Use numerals instead of words.
The location of G is?
The length of FG is?
A number line is a line that shows the locations of all directed numbers. The answers required to the question are:
i. The location of G is 2.18.
ii. The length of FG is 0.98.
A number system is a system that can be used to locate the position of directed numbers on a number line. A number line has two ends: positive and negative ends. This starts from negative infinity to positive infinity. Thus all numbers can be located on a number line.
Directed numbers are numbers that have either a positive sign or a negative sign. Thus all numbers are directed numbers.
From the given question, let the distance between FG and GH be represented by x (since Point H is the length of FG from point G).
Thus,
Point FH = 3.15 - 1.20
= 1.95
x = [tex]\frac{FH}{2}[/tex]
= [tex]\frac{1.95}{2}[/tex]
x = 0.975
So that,
Location of point G = 1.200 + 0.975
= 2.175
Therefore, the location of G is 2.175 (2.18). And the length of FG is 0.975 (0.98).
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Answer:
Location of G: 6.4
Length of FG: 5.2
Step-by-step explanation:
correct on Edementum/Plato
help me you gonna be my hero
Answer:
The second graph
Step-by-step explanation:
Well you're given the equation in slope-intercept form, which looks like: y=mx+b, where m is the slope, and b is the y-intercept. This is because the y-intercept is when x=0, so mx will becomes 0, thus leaving b alone, and making it the y-intercept. m is the slope because as x increases by 1, the y-value goes up by m, so the "rise" is m and the "run" is 1. The definition of the slope is rise/run so the slope would be m/1 or just m.
So let's analyze the equation: y=25x+40. the slope will be 25, and the y-intercept will be 40 (this is important for easily filtering very obviously wrong answer). So the linear equation will intersect the y-axis at (0, 40). Only one of the graphs intersects the y-axis at (0, 40) which is the second graph.
Ximena answered 72 questions correctly on her multiple choice history final and
earned a grade of 36%. How many total questions were on the final exam?
Answer:
200
Step-by-step explanation:
72---->36%
x------> 100%
72×100
7200÷36=200
To check, let do it the other way round. 200×0.36=72.
There was total 200 multiple choice history question in Ximena's exam.
What is the definition of the percentage?A percentage is a fraction of a whole conveyed as a number ranging from 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide this same portion of the total by the total and multiply by 100.For the given question,
Total questions answered by the Ximena is 72.
The total percentage was 36%.
Let 'x' be the total number of the questions.
Then,
36% of x = 72
36x /100 = 72
x = 7200/36
x = 200
Thus, there was total 200 multiple choice history question in Ximena's exam.
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Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h. A. h(8) = 21 B. h(-3) = -1 C. h(13) = 18 D. h(2) = 16
A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2.
1.) h(8) = 21
Since the value of h(8) is 19. This can not be the correct option.
2.) h(-3) = -1
Since the range is from 1 to 25. Therefore, this is not the correct option.
3.) h(13) = 18
Since the domain is from -3 to 11. Therefore, this is not the correct option.
4.) h(2) = 16
This is the only option that is feasible. Thus, this is the correct option.
Hence, the correct option is D.
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In triangle TUV Y is the centroid if YW=9 find TY
Applying the centroid theorem, the length of TY is calculated as: 18 units.
What is the Centroid Theorem?According to the centroid theorem, given a triangle like TUV with Y as the centroid, the theorem states that:
TY = 2/3(TW)
YW = 9 units
TW = TY + 9
Plug the values into the equation
TY = 2/3(TY + 9)
3(TY) = 2(TY + 9)
3(TY) = 2(TY) + 18
3(TY) - 2(TY) = 18
TY = 18
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Solve the linear system.
x + y = -3
y = 2x
Answer:
x = -1
y = -2
Step-by-step explanation:
You can use the method of substitution to solve this equation. Since you know that y= 2x, you can substitute that value into x + y = -3:
x + (2x) = -3
Combine like terms:
3x = -3
x = -3/3
x = -1
Now that you know the value of x, you can substitute it into any of the two equations (I'll be choosing y = 2x)
y = 2x
y = 2 (-1)
y = -2
So your solution is x = -1, y = -2
Point form: (-1, -2)
Please explain the logics and steps to solve this problem below thank you TT
5, 10, 15, ..., 100
If each term in the sequence above is 5 more than the previous term, how many times does the digit zero appear in the sequence?
(A) 9 (B) 10 (C) 11 (D) 50 (E) 51
---
the answer is number C) 11
however the answer I've chosen was 50
Since there are 10 values that have the zero digits, hence the zero digits appear 10 times in the sequence
Sequence and seriesSeries are defined as sum of sequences. Given the following sequence
5, 10, 15, ..., 100
The common difference is 5 and the number that have digits zero in the sequence are 10, 20, 30, 40, 50, 60, 70, 80, 90 and 100
Since there are 10 values that have the zero digits, hence the zero digits appear 10 times in the sequence
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Find the value of x and y (2^x+y 2^x-y) =(16,1) in order pair
Answer:
i don't know sorry :(
Step-by-step explanation:
(3, -1) and (5, 4) arrowRight (2, 3) and (4, 5) arrowRight (-5, 7) and (8, 5) arrowRight (-2, 4) and (3, -1)
This question is incomplete. Below you can find the missing content.
Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth. 7.07 units 5.1 units 2 units 2.83 units 5.39 units 13.15 units 12.5 units
(3, -1) and (5, 4)
(2, 3) and (4, 5)
(-5, 7) and (8, 5)
(-2, 4) and (3, -1)
The distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.
The distance between two points can be calculated by the formula given below
Distance between two points (x1,y1), (x2,y2)= d= √(x2-x1)²+(y2-y1)²
where (x1,y1) and (y1,y2) are the coordinates of the points.
The distance between the points which is of coordinates (3, -1) and (5, 4)
d= √(5-3)²+(4-(-1))²= √4+25= √29= 5.39 units
The distance between the points which is of coordinates (2, 3) and (4, 5)
d= √(4-2)²+(5-3)²= √4+4= √8= 2.83 units
The distance between the points which is of coordinates (-5, 7) and (8, 5)
d= √(8-(-5))²+(5-7)²= √169+4= √173= 13.15 units
The distance between the points which is of coordinates (-2, 4) and (3, -1)
d= √(3-(-2))²+(-1-4)²= √25+25= √50= 7.07 units
Therefore the distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.
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Use the graph below to answer the following question:
O 0
0 1
b
4
-3 -2
3
2
W
12
54
What is the average rate of change from x = 0 to x = 4? (6 points)
2 3
Answer: 0
Step-by-step explanation:
When x=0, y=4.
When x=4, y=4.
So, the rate of change is 0.
Two friends bring lemonade to your cookout. one brings 2.7 liters and the other brings 3.54 liters. how much lemonade do they bring
The total lemonade the two friends bring to the cookout when one brings 2.7 liters and the other brings 3.54 liters of lemonade is 6.24 liters of lemonade, computed using decimal addition.
The methods we use to add or subtract decimals are as follows:
Vertically align the decimal points. Any necessary zeros should be entered.Treat the integers as whole numbers when adding or subtracting them.Align the decimal point with the numbers being added or subtracted so that it sits vertically above the sum or difference.In the question, we are informed that two friends bring lemonade to the cookout. The first brings 2.7 liters and the second brings 3.54 liters.
We are asked to find the total lemonade brought by them to the cookout.
To find the total lemonade, we add both the decimal quantities following the steps discussed.
2.7
+ 3. 54
Step 1: Adding zeroes:
2.70
+ 3. 54
Step 2: Treating them as numbers and adding:
2.70
+ 3. 54
________
624
Step 3: Aligning decimal points:
2.70
+ 3. 54
________
6.24
Thus, the total lemonade the two friends bring to the cookout when one brings 2.7 liters and the other brings 3.54 liters of lemonade is 6.24 liters of lemonade, computed using decimal addition.
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If x=7y and x = 4y = 24, then X=?
How tall is the tower?
Answer:
93.6 ftStep-by-step explanation:
[tex]\bf \cfrac{AB}{BC} = \tan(60) [/tex]
[tex] \bf \cfrac{x}{50} = \sqrt{50} [/tex][tex]\bf x = 50 \sqrt{3} [/tex]Length of tower:-
[tex]\bf x + 7[/tex][tex]\bf 50 \sqrt{3} + 7[/tex][tex]\bf 93.6025[/tex][tex] \bf = 93.6[/tex]Therefore, the tower is 93.6ft tall.
-------------------------------------------
How dose the graph of g(x)=x+5 compare with the graph of the parent function f(x)=x?
The graph of f(x) is shifted up by 5 units to get g(x)
How to compare the functions?The functions are given as:
g(x) = x + 5
f(x) = x
Substitute f(x) = x in g(x) = x + 5
So, we have:
g(x) = f(x) + 5
The above means that the graph of f(x) is shifted up by 5 units to get g(x)
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Rewrite x² - 10x = 4 so that the left side is a perfect square trinomial.
x² - 10x -4 = 0
x² - 10x + 25 = 4
x² − 10x + 25 = 29
x². - 10x + 10 = 14
Answer:
C
Step-by-step explanation:
x²-10x+(-10×0.5)²=4+(-10×0.5)²
x²-10x+25=29
The difference in the height of the two rectangles is 7 feet.
One rectangle has a height of 6.2 feet and another has a height of y feet.
What is the value of y?
Answer:
y = 13.2ft
Step-by-step explanation:
This is a bit of trial and error.
We know that the height of one rectangle is 6.2ft, which means we cannot subtract 7 from 6.2 to find the height of the other rectangle as it will give us a negative value and it will not make sense.
Therefore the height of the other rectangle has to be 7ft higher.
y = 6.2 + 7 = 13.2ft
ABCD is an isosceles trepezoid with midsegment top enclose M N end enclose. m angle B A D equals 65 degree
The answers are as follows:
What is isosceles trapezoid?A trapezoid with its two nonparallel sides equal.
Given:
<BAD =65
As, MN is mid segment
So,
BC= 2CM
BC = 16
Now, ABCD is isosceles trapezoid
BC= AD
So, AD= 16
and, Using mid- point theorem
MN= 1/2 AB
MN = 1/2* 22
MN= x = 11
Also, co- interior angle sum is 180 in trapezium
<BAD + <BCD = 180
<BCD + 65 =180
<BCD = 115
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anybody can help me?
Its the first one, because x wont be affected, and 1 and -3 is a constant.
which number can each term of the equation be multiplied by to eliminate the fraction before solving -3/4m-1/2=2+1/4m
Answer:
4
Step-by-step explanation:
LCM of 2 and 4 (denominators of fraction)
= 4
pls help 10 points for whoever helps
Answer:
see image
Step-by-step explanation:
Putting the data on the line plot is not too bad. Just put an x above the number on the numberline. If a number in the data set repeats, just stack those x's up over the numberline. It seems like the hardest part is labelling the number line. Each tick mark can be 1/8. On the image I wrote all the fractions in eighths at the bottom, then to label the numberline I used the simplified fractions. For example I started with 1 3/8 because it was the smallest number in the data set. Next is 1 4/8, but simplified that is 1 1/2. So 1 1/2 is how we label the numberline.
There were 12 pieces of data, but really only six numbers because some were repeated.
Stack x's above the numberline. Done! You have a line plot. See image.
Answer:
1. 1/⅜
2. 1/⅜
3 is 2/¼
4 is 2/¼
5 is 2/¼
6 is 2/⅞
7 is 2/⅞
8 is 2/⅞
9 is 3/⅛
10 is 3/⅛
11 is 3/⅛
Step-by-step explanation:
Mixed number to Improper Fraction
1.9/4
2.13/4
3.23/8
4.25/8
5.23/8
6.25/8
7. 5/2
8.9/4
9. 23/8
10. 5/2
11. 11/8
12. 25/8
then you make it into the same denominator
1. 18/8
2. 26/8
3. 23/8
4. 25/8
5. 23/8
6. 25/8
7. 20/8
8. 18/8
9. 23/8
10. 20/8
11. 11/8
12. 25/8
then what ever numerator is smallest you put at front and it goes onto the biggest one
e.g ASCENDING ORDER
However you'll need to put it back into the normal mixed number, so all you have to do is revert let's say 25/8 into 3/⅛, and put it onto the graph
1. 1/⅜
1. 1/⅜2. 1/⅜
. 1/⅜3 is 2/¼
. 1/⅜3 is 2/¼ 4 is 2/¼
. 1/⅜3 is 2/¼ 4 is 2/¼5 is 2/¼
. 1/⅜3 is 2/¼ 4 is 2/¼5 is 2/¼6 is 2/⅞
. 1/⅜3 is 2/¼ 4 is 2/¼5 is 2/¼6 is 2/⅞7 is 2/⅞
8 is 2/⅞
9 is 3/⅛
9 is 3/⅛10 is 3/⅛
11 is 3/⅛
and number 12 which is the biggest and the last one the you should put(on the end of graph) is
3/¼
I did rush this so I hope this is the correct answers
If f(x) = -x-2 and g (x) =x^2, what is (g^0f)(-6)?
Answer: 16
Step-by-step explanation:
[tex](g \circ f)(-6)=g(f(-6))\\\\f(-6)=-(-6)-2=4\\\\\implies g(f(-6))=g(4)=4^2 = \boxed{16}[/tex]
The value of the function estimation; (g°f)(-6) is; 64.
What is the value of the function estimation?It follows from the task content that; the fumcti given are; f(x) = -x-2 and g (x) =x².
Hence, the function (g°f) (x) can be evaluated as; (-x-2)² = x² +4x +4.
Ultimately, when x = 6; (g°f)(-6) = 6² +4(6) +4 = 64.
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Helen got a 7% reduction in the price of pair jeans that are normally $32. What is the approximate percent decrease in the price?
A percentage is a way to describe a part of a whole. The approximate percent decrease in the price is 21.87%, thus, the correct option is B.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given the reduction in the price is $7, while the original cost is $32. Therefore, the approximate percent decrease in the price is,
Percentage decrease = 7/32 × 100%
= 21.87%
Hence, the approximate percent decrease in the price is 21.87%, thus, the correct option is B.
The correct question is:
Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the price?
The percent decrease is approximately 15%.
The percent decrease is approximately 21%.
The percent decrease is approximately 43%.
The percent decrease is approximately 78%
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Consider triangle EFG. F 8 10 CA 55.8 OB. 82.8 OC 94.8 OD. 41.4 12 E What is the approximate measure of angle G? G Consider triangle EFG . F 8 10 CA 55.8 OB . 82.8 OC 94.8 OD . 41.4 12 E What is the approximate measure of angle G ? G
Using the law of cosines, it is found that the approximate measure of angle G is of 41.4º.
What is the law of cosines?The law of cosines states that we can find the angle C of a triangle as follows:
[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]
in which:
c is the length of the side opposite to angle C.a and b are the lengths of the other sides.In this problem, we want to find angle G, hence c = 8, then:
[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]
[tex]8^2 = 10^2 + 12^2 - 2(10)(12)\cos{G}[/tex]
[tex]240\cos{G} = 180[/tex]
[tex]\cos{G} = \frac{3}{4}[/tex]
[tex]G = \arccos{\left(\frac{3}{4}\right)}[/tex]
G = 41.4º.
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Answer: DE NADA
Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO
Ms. wilkinson's fifth-grade class is running a canned food drive. the students filled two boxes of food. there are thirty 300-gram cans of soup in one box. there are eighteen 400-gram cans of vegetables in the other box. how many kilograms of food did the students collect in all?
Answer:
16.2 kilograms
Step-by-step explanation:
30 300-gram cans = 9000 grams of soup
18 400-gram cans = 7200 grams of vegetables
9000 + 7200 = 16200 grams
1000 grams = 1 kilogram
16200 / 1000 = 16.2 kilograms
The total amount of food students collect in kilograms will be equal to 16.2 kilograms food.
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
The number of cans of soup in one box = 30 cans
And each can has 300 grams of soup.
So , the total amount of soup in one box is :
= 30 × 300
= 9000 grams of soup
Now , in the other box there are 18 cans of vegetables and each can has 400 grams of vegetable.
So , the total amount of vegetable in the other box is :
= 18 × 400
= 7200 grams
Total food students collect is :
= 9000 grams soup + 7200 grams vegetables
= 16200 grams food
We know that :
1000 grams = 1 kilogram
So , converting grams into kilograms we get :
16200 / 1000 = 16.2 kilograms food
Therefore , the total amount of food students collect in kilograms will be equal to 16.2 kilograms food.
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What’s the answer to this?
Answer:
See attached image.
250 shirts at $50/shirt is the equilibrium.
Step-by-step explanation:
5 calculators cost £31.25
3 pens cost £2.91
Work out the cost of 30 calculators and 30 pens.
Answer:
£216.60
Step-by-step explanation:
If 5 calculators cost £31.25, then each calculator costs £6.25
If 3 pens cost £2.91, then each pen cost £0.97
30(6.25) + 30(0.97) = £216.60
On a coordinate plane, triangle R S T has points (0, 4), (0, negative 2), and (3, negative 2).
△RST is dilated with the rule DT,1/3 (x, y), where the center of dilation is T(3, –2).
The distance between the x-coordinates of R and T is
.
The distance between the y-coordinates of R and T is
.
R' is
from T, so the coordinates of R' are
.
The values gotten for the coordinate plane are;
The distance between the x-coordinate of R and T is 3.The distance between the y-coordinate of R and T is 6.R' is (-1, 2) from T, so the coordinates of R' are (2, 0).Why the above values?The Reason for the obtained value is that since thee rule for the dilation of ΔRST is:
The vertices of the given triangle are R(0, 4), S(0, -2), T(3, -2)Then, the distance that exist between the x-coordinate of R and T will be:
3 - 0
= 3
Then the distance between the y-coordinate of R and T will be:
4 - (-2)
= 6
Note that the location of the point R' is said to be relative to point T and as such:
The location of point R'
= (-1 + 3, 2 - 2)
= R'(2, 0)
Hence R' is (-1, 2) from T, and the coordinates of R' is (2, 0)
Therefore, The values gotten for the coordinate plane are;
The distance between the x-coordinate of R and T is 3.The distance between the y-coordinate of R and T is 6.R' is (-1, 2) from T, so the coordinates of R' are (2, 0).Learn more about coordinate plane from
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Answer:
C.) ✔ 3
D.) ✔ 6
B.) ✔ 1 unit left, 2 units up
D.) ✔ (2, 0)
Step-by-step explanation: i hope this helps :)