If a sports fan believes that, the probability of the red team winning is 0.35 and that of the blue team winning is 0.40, then the fan expects the red team to win 9 matches less than the blue team in a season of 180 games.
As per the question statement, based on the records for the past several seasons, a sports fan believes that, the probability of the red team winning is 0.35 and that of the blue team winning is 0.40.
We are required to calculate the number of games, the fan expects the red team to win, lesser than the blue team in a season of 180 games.
As per the probability record, maximum number of games, the fan believes that the blue team can win all over the season of 180 games = [tex](0.40*180)=(\frac{40}{100}*180)=(4*18)=72.\\[/tex]
Similarly, maximum number of games, the fan believes that the red team can win all over the season of 180 games = [tex](0.35*180)=(\frac{35}{100}*180)=(7*9)=63.\\[/tex]
Hence, the fan expects the red team to win [tex][(72-63)=9][/tex] matches less than the blue team in a season of 180 games.
Probability: It is a branch of mathematics that deals with the possibility of occurrence of a random event.To learn more about Probability, click on the link below.
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d•r=r•d
O Commutative Property of Multiplication
O Identity Property of Multiplication.
O Zero Property of Multiplication
O Commutative Property of Addition
Answer:
Commutative property of multiplication
write your answers in Arabic numerals XXXV-VIII
Step-by-step explanation:
٨-٥٢.....................
Simplify the expression (X1/6)3
X2
X3
X1/3
X1/2
Read this excerpt from “The All American Slurp”
In china we never ate celery raw or any other kind of vegetable raw. We always had to disinfect the vegetables in boiling water first. When we were presented with our first relish tray, the raw celery caught us unprepared
What story element does the author develop in this excerpt?
Conflict between family members.
Character traits of the Lin family.
Plot details about the Gleason party.
Setting details about the Lins hometown.
From the excerpt that we have here the story element that the Character traits of the Lin family.
What does the character trait mean?This is the term that is used to refer to the words that are used in order to offer the characterization of a person. These are the terms that would help to show the personalities and the qualities that a person has. It tells us who these persons are and the way they would be described if we are to talk about them to other people.
Based on the description that I have given here, the way that we would be able to talk about this family would be that they are known to prepare their food in a different way that the Americans made theirs.
From what they said, they would always have to put their vegetables first in boiling water. This would make it less raw. But from what they were offered in America, they had to eat the vegetables that had been left raw.
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Recall the equation for a circle with center ( h , k ) and radius r . At what point in the first quadrant does the line with equation y = 0.5 x + 2 intersect the circle with radius 5 and center (0, 2)?
At (4.472 , 4.236) in the first quadrant , the line with equation y = 0.5 x + 2 intersect the circle with radius 5 and center (0, 2) .
The equation of circle with center (h,k) and radius r can be written as
(x-h)²+(y-k)²=r²
In the given question
the center of the circle is (0,2) and the radius of the circle is 5 .
So the equation of circle become
(x-0)²+(y-2)²=5²
x²+(y-2)²=25 ...(i)
It is given that y=0.5x+2 intersects the circle
y = 0.5x+2
Rewriting the equation we get
y-2=0.5x
(y-2)=0.5x
x=(y-2)/0.5
x = 2(y-2) ...(as 0.5=1/2) ....(ii)
Squaring both sides
x² = (2(y-2))²
x² = 2²(y-2)²
x² = 4(y-2)² ...(iii)
Substituting the value of equation (iii) in equation (i) we get ,
4(y-2)²+(y-2)²=25
5(y-2)²=25
(y-2)²=25/5
(y-2)²=5
Taking Square root both the sides , we get
√(y-2)²=√5
y-2 = √5
y=(√5)+2
y=2.236+2
y=4.236
Substituting the value of y in (ii) we get
x=2(4.236-2)
x=2*2.236
x=4.472
Therefore , the circle with radius 5 and center (0, 2) will intersect the line with equation y = 0.5 x + 2 in the first quadrant at (4.472 , 4.236).
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Which of the following properties is demonstrated by the equation below?
9(x+3)=9x+27
distributive property
inverse property of addition
associative property of addition
communitive property of addition
Answer: Distributive Property
Step-by-step explanation:
This is an example of the distributive property because the 9 is being distributed into each term, yielding the 9x and the 27.
SOMEONE HELP WITH THIS PROBLEM
Answer:
y < 3x + 2
y> -2x + 2 The symbol should be > with a line under it to show greater than or equal to
Step-by-step explanation:
Stanley can purchas a 15.4-ounce bottle of
olive oil for $5.39 or a 23.6-ounce bottle of olive oil for $7.08.
Which bottle is the better buy? Explain.
Answer: They are the same deal
Step-by-step explanation:
15.4/5.39=3.33333...
23.6/7.08=3.333333...
Divide 6/13 by 6/12 .
A. 12/13
B. 9/16
C. 1/12
D. 13/12
You need a 25% alcohol solution. On hand, you have a 325 mL of a 20% alcohol mixture.
You also have 50%
alcohol mixture. How much of the 50% mixture will you need to add to obtain the desired solution?
You will need
mL of the 50% solution
We need 65 ml of 50% mixture to obtain the desired solution.
Here, we need to make a 25% alcohol solution by mixing some amount of 50% alcohol mixture with 325 mL of a 20% alcohol mixture.
Let the amount of 50% alcohol solution be x
The the quantity of alcohol in 50% alcohol solution = 50% of x
= 0.5x
Similarly the the quantity of alcohol in 20% alcohol solution = 20% of 325
= 65ml
The total quantity of 25% alcohol solution = (325 + x) ml
Thus, the the quantity of alcohol in 25% alcohol solution = 25% of (325 + x)
= 0.25 (325 + x)
= 81.25 + 0.25x
Thus, we can form the following equation-
0.5x + 65 = 81.25 + 0.25x
0.5x - 0.25x = 81.25 - 65
0.25x = 16.25
x = 16.25/ 0.25
x = 65
Thus, we need 65 ml of 50% mixture to obtain the desired solution.
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f(x) = cube root 2x
g(x) = 2x + 1
Find (f/g) (X) Include any restrictions on the domain
A bag contains 10 marbles: 5 are green, 3 are red, and 2 are blue. Deandre chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is red and the second is blue? Write your answer as a fraction in simplest form.
Answer:
1/15
Step-by-step explanation:
3/10 x 2/9 = /90 Dived the top and bottom by 6 and you will get 1/15.
The first time there were 10 marbles and she wanted red. There were only 3 red so the chances of getting a red is 3/10. Now she only has 9 marbles left. She was a blue so her chances are 2/9.
Solve the following quadratic equation for all values of x in simplest form.
11- x² = -3
Answer:
x = √14
Step-by-step explanation:
11- x² = -3
x² = 14
x = √14
the difference of twice
a number and seven is nine
Answer:
16!
Step-by-step explanation:
work
Question 2, 2.3.5
Part 1 of 2
Select the correct choice below and, if necessary, fill in the answer box within your choice
OA. The slope is (Simplify your answer.)
OB. The slope is undefined.
←
Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical
(7.1) and (2.1)
The slope of the line passing through the pair of points is
Given points are:
A (7,1) = (x₁ , y₁)
B (2,1) = (x₂ , y₂)
slope of a line is : y₂ ₋ y₁/x₂ ₋ x₁
Slope equals a height change /Change in width. You may also say that a slope is a climb or a run. This formula changes if the graph's horizontal axis is represented by x and the vertical axis by y.
Assume that the line's slope is'm'.
m = y₂ ₋ y₁/x₂ ₋ x₁
m= 1 ₋ 1/2 ₋ 7
m = 0/₋5
m = 0
hence, when the slope is 0 then the line is horizontal .
Therefore, the slope is 0 which indicates that the line is horizontal.
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The set of real numbers is composed of rational and irrational numbers.
A. true
B.false
Answer:
true..... ............
A manager recorded the performance review scores for each employee and placed the results in the bar chart below. All employees received a rating on each of the Evaluation Categories. If Person 6 obtained the highest score possible, what score did Person 2 receive? Use the graph and tables below.
The score of person 2 is 30.
What is a bar chart?A bar chart is a graph that shows the numerical values of variables represented by the height rectangles of equal width. In a bar graph, the rectangles must be of equal width and the space between each bars must be equal.
Total score of person 6 with the highest score possible : highest score x number of options
5 x 9 = 45
This means that on the bar chart, the value of person 6's rectangle is 45. This means that each the value of the graph increases by 5. This means that each line increases by the value of 5.
Score of person 2 = number of lines to the height of the bar x 5
6 x 5 = 30
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What is the domain of the function y = 2√x-5?
THE ANSWER IS IN THE PHOTO
What is the MEDIAN of this set of data?
10, 90, 80, 60, 50, 40, 70, 30, 20, 100
Answer:
your answer is 55 as shown by above photo ^^
Answer:
55
Step-by-step explanation:
Can someone do 4,6,8 for me pls show work I give l Brainly and extra point
Answer:
4.) T = M - N
T(-M) = M - N (-M)
(/-1) T - M = -N (/-1)
-T + M = N
6.) Ax + By = C
(-Ax) Ax + By = C (-Ax)
By = C - Ax
By (/B) = (C - Ax)/(B)
y= (C - Ax)/B
8.) C = pi(d)
(/pi) C = d
C/pi = d
Solve the system by back substitution.
-4x - 8y - 2z - 6w = 5
3y + 18z + 6w = 24
z + w =2
-2w = -6
Solution should be set like {( _ , _ , _ , _ )}
The values of all the variables are:
w = -3z = 5y = -16x = 33 approxWhat are equations?A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.Given equations:
-4x - 8y - 2z - 6w = 53y + 18z + 6w = 24z + w =2-2w = -6To find the values of x, y, w, and z:
-2w = -6w = -6/2w = -3Substitute (w = -3) in z + w = 2:
z + w = 2z -3 = 2z = 2 + 3z = 5Substitute (w = -3) and (z = 5) in 3y + 18z + 6w = 24:
3y + 18z + 6w = 243y + 18(5) + 6(-3) = 243y + 90 - 18 = 243y + 72 = 243y = 24 - 723y = - 48y = - 16Substitute (y = - 16), (w = -3) and (z = 5) in -4x - 8y - 2z - 6w = 5
-4x - 8y - 2z - 6w = 5-4x - 8(-16) - 2(5) - 6(-3) = 5-4x + 128 - 10 + 18 = 5-4x + 118 + 18 = 5-4x + 136 = 5-4x = 5 - 136-4x = - 131x = 131/4x = 32.75Rounding off: x = 33Therefore, the values of all the variables are:
w = -3z = 5y = -16x = 33 approxKnow more about equations here:
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11. Convert the number to scientific notation.
0.000001019
1.02 x 10-⁹
1.02 x 10-6
10.19 x 10-7
1.02 x 106
A transportation company charges a fee of $125 plus $50 per hour to rent a limousine. If John paid $425 for a limousine, for how many hours did he rent the limousine?
A. 7
B. 6
C. 5
D. 4
John rented the limousine for 6 hours.
The minimum fee charged by the transportation company to rent a limousine is $125.The hourly fee charged by the transportation company to rent a limousine is $50.The amount of money paid by John to rent a limousine is $425.Let the number of hours for which John paid for the rent of the limousine be "x".A formula that represents the equality of two expressions by linking them with the equals sign is known as an equation.The above-given data helps us to form the linear equation given below :425 = 125 + 50x300 = 50xx = 6Thus, John rented the limousine for 6 hours.To learn more about equations, visit :
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Find the midpoint of points A(-1,-7) and B (3,-4) graphically
(0,0) because that is the center
Jack walks around the his schools track field and completes 1 lap in 30seconds.How long does it take Jack to complete 1 mile? How far will he run after 30 min?What is my speed in minutes per hour
Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
j2 + 20j +
Please explain in detail.
Answer:
the quadratic equations is 22+×3÷78=36-543x+18+4x+15=180 what is x
Answer:
x = 21
Step-by-step explanation:
Adding numbers:
3x+ 18 + 4x + 15 = 180
3x + 33 + 4x = 180
Combine Like terms:
3x + 33 + 4x = 180
7x + 33 = 180
Subtract:
7x + 33 - 33 = 180-33
7x = 147
Divide:
[tex] \frac{7x}{7} = \frac{147}{7} [/tex] x = 21A ladder leaning against a wall forms a triangle and exterior angles with the wall and the ground. What is the measure of exterior angle formed on the ground? 5 degrees 90 degrees 125 degrees 180 degrees
In linear equation 125 degrees is the measure of exterior angle formed on the ground.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.we know that the sum of all the angles of a triangle is 180
therefore
11x+7x+90=180
18x=90
x=5
exterior angle formed on the ground=180-11x
=180-55
=125
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Just 17 and 18 please!
[16] f(-3) = -5
#17 is asking us to find what the function equals when x is equal to -3. We will find x = -3 on the graph, then find what y equals.
[17] f(4) = 0
#17 is quite similar, it is asking us to find what the function equals when x is equal to 4. We will find x = 4 on the graph, then find what y equals.
You asked in the comments for #16 and #17, I hope this helps.
Right angle ABC is taken by a dilation with center P and scale factor 1/2 to angle A'B'C'. What is the measure of angle A'B'C'?
Answer: 90 degrees
Step-by-step explanation:
Dilations preserve angle measure.