The solutions are;
The joint probability of y1 and y2 is [tex]\left[\begin{array}{ccc}0\\1\\2\end{array}\right][/tex][tex]\left[\begin{array}{ccc}1/9&2/9&1/9\\2/9&2/9&0\\1/9&0&0\end{array}\right][/tex] and F(1,0) = 1/3.
Given data;
Let y1 signify the number of contracts awarded to firm a and y2 the number of contracts assigned to firm b. Recall that each firm can receive 0, 1, or 2 contracts. Contracts for two construction tasks are randomly assigned to one or more of three firms, a, b, and c.
To find,
(a) The joint probability function for y₁ and y₂
Let y₁ denote the number of contracts assigned to firm A,
y₂ the number of contracts assigned to firm B
y₁
[tex]\left[\begin{array}{ccc}0&1&2\\\\\end{array}\right][/tex]
y₂
[tex]\left[\begin{array}{ccc}0\\1\\2\end{array}\right][/tex][tex]\left[\begin{array}{ccc}1/9&2/9&1/9\\2/9&2/9&0\\1/9&0&0\end{array}\right][/tex]
(b) Find F(1,0)
F(1,0) = p(y₁ ≤ 1, y₂ ≤ 0)
= p(0,0) + p(1,0)
= 1/9 + 2/9
= 1/3.
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Given that
4x:3=11:5
Calculate the value of x.
Answer:
THE ANSWER IS x= 33/20
hope it help
with the steps:
1) Multiply all terms by the same value to eliminate fraction denominators
2) Cancel multiplied terms that are in the denominator
3) Multiply the numbers
1) 4x//3==11/5 then 15 ✖️ 4x/3= 15 ✖️ 11/5
2) 5 ✖️ 4= 3 ✖️ 11
3) 5 ✖️ 4x=3 ✖️ 11
20x=3 ✖️ 11
solution : x= 33/20
Answer:
x = [tex]\frac{33}{20}[/tex]
Step-by-step explanation:
[tex]\frac{4x}{3}[/tex] = [tex]\frac{11}{5}[/tex] cross multiply and solve
20x = 33 divide both sides by 20
x = [tex]\frac{33}{20}[/tex]
what is the image point of (0, 2) after a translation left 5 units up to 1 units
The image of the given point after the translation will be (-5,1).
The given point is (0,2).
We have to find out the image of the given point after a translation left 5 units and up to 1 units.
Since it is given that there is a translation left 5 units, starting from point (0,2), the image will be on the negative side of x-axis at point 3.
Similarly, it is given that there is also a translation up to 1 units. This implies starting from point (0,2), the image will be on the positive side of y-axis at point 1.
So, the image of the given point after the translation will be (-3,1).
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Help me please this is my final question involving this method (maybe)
100 Points
Answer:
(-1,3)
Step-by-step explanation:
x+4y=11
-4y. -4y
x=11-4y
3(11-4y)+5y=12
33-12y+5y=12
33-7y=12
-33. -33
-7y=-21
/-7. /-7
y=3
x+4(3)=11
x+12=11
-12. -12
x=-1
Hopes this helps please mark brainliest
Answer:
x= −1 and y= 3
Step-by-step explanation:
Step One: Rewrite Equations
x+ 4y = 11
3x +5y = 12
Step Two: Solve x +4y = 11 for x:
x +4y = 11
x +4y + −4y = 11 + −4y (Add -4y to both sides)
x = −4y +11
Step Three: Substitute −4y +11 for x in 3x +5y = 12:
3x +5y = 12
3(−4y +11) +5y = 12
−7y +33 = 12 (Simplify both sides of the equation)
−7y +33 +−33 = 12 +−33(Add -33 to both sides)
−7y = −21
(-7y/-7) = (-21/-7) (Divide both sides by -7)
y = 3
I sincerely hope this helped you, good luck on your assignment!
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEE
13. Write an equation of the graph in slope-intercept form.
14. If misty has been traveling for 9 hours, how many miles of the trip does she have remaining?
15. If there are 50 miles in the trip remaining, how many hours has misty been traveling?
The equation of the graph is a straight line written in slope-intercept form as y = -33.3x + 450. When Misty travelled for 9 hours, he drove 150.3 miles.
Equation of Straight LineThe general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept. It is the most common form of the equation of a straight line that is used in geometry. The equation of a straight line can be written in different forms such as point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a two-dimensional geometrical entity that extends on both its ends till infinity.
The equation of a straight line is a mathematical equation that gives the relation between the coordinate points lying on that straight line. It can be written in different forms and tells the slope, x-intercept, and y-intercept of the line. The most commonly used forms of the equation of straight line are y = mx + c and ax + by = c. Some other forms are point-slope form, slope-intercept form, general form, standard form, etc. Let us go through the formula for the equation of a straight line
13: The equation of graph in slope-intercept form
But for this case, we will represent our equation using point-slope formula which is y = mx + c
Let's find the slope of the line.
To do this, we will pick any two points and solve for the slope.
A = (0, 450), B = (6, 250)
The equation of slope of a line is given as
m = y₂ - y₁ / x₂ - x₁
m = 250 - 450 / 6 - 0
m = -200/6
m = -33.3
The y-intercept is the point which the line touches the y-axis or y-plane and in this case, the y-intercept is 450.
The equation of the line is y = -33.3x + 450
y = miles remainingx = hours travelled.14: If he has been travelling for 9 hours, how many miles left ?
Using the equation y = -33.3x + 450; put x = 9
y = -33.3(9) + 450
y = 150.3 miles
Misty has 150.3 miles left.
15: If there are 50 miles in the trip left, how many hours has Misty travelled.
Using the equation y = -33.3x + 450
50 = -33.3x + 450
-400 = -33.3x
x = 12 hours
Misty has approximately travelled 12 hours.
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Which angle is vertical to ∠BCH?
Please help!!!
SOLVE CORRECTLY FOR 83 POINTS AND BRAINLIEST
The transformation rule used to transform Triangle PQR to P'Q'R' is; (x, y) → (⁵/₂x, ⁵/₂y)
How to Interpret Mathematical Transformations?We are told that the triangle P'Q'R' has been transformed from triangle PQR.
Now, the coordinates of triangle PQR are;
P(-1, 1)
Q(2, 0)
R(-1, -2)
The coordinates of the transformed triangle P'Q'R' are;
P(-5/2, 5/2)
Q(5, 0)
R(-5/2, -5)
Thus, this is clear that the transformation rule used is;
(x, y) → (⁵/₂x, ⁵/₂y)
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The figure shows the reflex angle BOD measures 3,5y and AOB measures y. Find the measure of the non-felex DOB in degrees.
The measure of the non-felex DOB in degrees is 140°.
How to calculate the angle?It is important to note that the value of the angles at a point is 360°.
Therefore, it should be noted that also vertically opposite angles are equal.
Therefore, the angles will be:
3.5y + 3.5y + y + y = 360°
9y = 360°
Divide
y = 360° / 9
y = 40°
Therefore, DOB will be:
= 3.5y.
= 3.5 × 40
= 140°
DOB is 140°.
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4.43 overweight baggage. suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 45 pounds and standard deviation 3.2 pounds. most airlines charge a fee for baggage that weigh in excess of 50 pounds. determine what percent of airline passengers incur this fee.
The percentage of airline passengers covered by this fee is 85.99%.
If the distribution is normal, use the Z-score formula. For a set of means and standard deviations, the measure's z-score X is given by z-score measures how many standard deviations a measure is from its mean. After finding the Z-score, look at the Z-score table to find the p-value associated with that Z-score. This p-value is the probability that the value of the measure is
less than X, the percentile of X Subtracting 1 from the p-value gives the probability that the value of the measure is greater from X means 46 pounds with a standard deviation of 3.7 pounds.
This is the p-value of Z for X = 50 minus 1 as a
ratio. So the p-value of is 0.8599or 0.8599× 100 = 85.99%
So, 85.99% of the airline passengers pay this fee.
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2. If m angle EFD = 75°, then m angle JAB = ??
C
B
A
1.
2.
Answer:
If m angle EFD = 75°, then m angle JAB = ??
C
B
A
1.
2.
Giovanni can read 250 words per minute. If there are approximately 300 words on a page, about how many pages can he read in 2 hours?
which of the following is a fair gamble? question 2 options: one coin toss: win $10 if heads, lose $10 if tails. two coin tosses: win $10 if two heads, lose $10 if two tails, no change of wealth otherwise. a game in which you win $100 with probability 50%, lose $200 with probability 25%, and gain nothing with probability 25%. all of the above are fair gambles.
Out of all the given situations, all are fair gambles,
Any gamble is considered to be a fair gamble if the expectation of it is 0. Here, gamble means any situation which has a probabilistic uncertainty attached to it.
The expectation of any game is
E(X) = ∑xp(x)
In the first case
The probability to get a had or tails on flipping a coin is 1/2
Hence the expectation will be
E(X) = 0.5 X 10 + 0.5 X (-10)
= 5 - 5
= 0
Hence this is a fair gamble
In the next gamble, two coins are tosses
The probability to get 2 head is 1/4
The probability to get 2 tails is 1/4
The probability to get one head and one tail is 1/2
Hence,
E(X) = 0.25 X 10 + 0.25 X (-10) + 0.5 X 0
= 2.5 - 2.5
= 0
Hence this too is a fair gamble
Here,it is given that
Probability Gain
0.5 $100
0.25 - $200
0.25 $0
Therefore,
E(X) = 0.5 X 100 + 0.25 X (-200) + 0.25 X 0
= 50 - 50
= 0
Hence, all are fair gambles.
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Correct Question
which of the following is a fair gamble?
one coin toss: win $10 if heads, lose $10 if tails.
two coin tosses: win $10 if two heads, lose $10 if two tails, and no change of wealth otherwise.
a game in which you win $100 with a probability of 50%, lose $200 with a probability of 25%, and gain nothing with a probability of 25%.
all of the above are fair gambles.
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Find the area of the triangle.
A=?in^2
Answer:
7.5 in²
Step-by-step explanation:
You want the area of a triangle shown as having a base of 6 inches and a height of 2.5 inches.
AreaThe formula for the area of a triangle is ...
A = 1/2bh
where b is the base length, and h is the height.
ApplicationThe figure shows the base of the triangle as 6 in, and the height as 2.5 in. This means the area is ...
A = 1/2(6 in)(2.5 in) = 7.5 in²
__
Additional comment
The attachments show the triangle to be overs-specified. If the side dimensions are correct, the area is actually about 7.48 square inches. If the base and height are correct, at least one side length is slightly off.
alfred tried to solve the system of equations shown below. he concluded that the system has an infinite number of solutions. which is the best evaluation of alfred's conclusion? a. he is incorrect. for any positive value of , the corresponding value of is negative, which means the system has no solution. b. he is correct. both equations describe lines that have infinitely many solutions. c. he is incorrect. if the first equation is multiplied by 4 and added to the second equation, the result is , which leads to exactly one solution. d. he is correct. if the first equation is multiplied by 4 and subtracted from the second equation, the result is , which means the system has an infinite number of solutions.
The Correct option is D .
System of linear equations,gives us the result that given system has unique solution such that 13x= 6 or x = 6/13 and y = -40/13 .
If a, b, and c are real numbers, the graph of the equation ax + by = c
is a straight line (unless both a and b are zero), so such an equation is called a linear equation in variables x and y. There are three possible types of solutions to a set of linear equations.
Unique Solution: A system of linear equations has a solution if the graphs intersect at a point.No Solution: If the graph is parallel, the system of linear equations has no solution.Infinitely Many Solutions: There are infinitely many solutions to a system of linear equations if the graph is exactly the same straight line.given system of equations is
2x - y = 4 --(1)
and 5x + 4y = -10 ---(2)
comparing the above equations with linear system , a1 x + b1 y = c1 and a2 x + b2y = c2
we get, a1 = 2 , a2= 5 , b1 = -1 , b2= 4 , c1= 4 ,
c2= -10
Now, the ratio are
a1/a2 = 2/5 ; b1/b2 = -1/4 ; c1/c2= -4/10 = 2/5
=> a1/a2 not equal to b1/ b2
therefore the given system of equations has unique solution.
Now , we find the soltion of given system using Elimination method,
multipling equation (1) by 4 to making same cofficient of y in both equations of system we get
8x - 4y = 16 --(3) and 5x +4y = -10
adding equation (2) from (3) we get,
8x -4y + 5x + 4y = 16 -10 => 13x = 6 => x = 6/13
putting this value of x in (1)
2×6/13 - y = 4 => y = 12/13-4 = -40/13
Hence , unique solution for given system of equations is x= 6/13 , y = -40/13.
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Complete Question:
Alfred tried to solve the system of equations shown below..
2x - y = 4 and 5x + 4y = -10
He concluded that the system has an infinite number of solutions. Which is the BEST evaluation of Alfred's conclusion?
He is correct. Both equations describe lines that have infinitely many solutions.
He is correct. If the first equation is multiplied by 4 and subtracted from the second equation, the result is -3x +8y = -14 , which means the system has an infinite number of solutions.
He is incorrect. For any positive value of , the corresponding value of is negative, which means the system has no solution.
He is incorrect. If the first equation is multiplied by 4 and added to the second equation, the result is 13x = 6 , which leads to exactly one solution.
Write a linear function f with f(5) =-1 and f(0) =-5
Answer: y = -4/5x - 5
Step-by-step explanation:
So you can view that fancy F with the parenthesis number inside of it as an input, just like X, and when -1 is the output, that means that y=-1, so your first set of numbers is (5,-1) now do the same with the second pair and you get (0,-5), we know that this is the Y intercept because X=0 in this pair.
-5 - (-1) = -4
0-5 = -5
slope = - 4/5
y intercept = -5
You buy a basket of 24 strawberries. You eat them as you walk to the beach. It takes the same amount of time to walk each block. When you are halfway there, half of the berries are gone. After walking 3 more blocks, you still have 5 blocks to go. You reach the beach 28 minutes after you began. One-sixth of your strawberries are left.
You walked
blocks in 28 minutes. At this rate you walk 1 block in
minute(s)
second(s).
Write the slope-intercept form of a line with a slope of 12 and a y-intercept of (0, -7)
Answer:
y=12x-7
Step-by-step explanation:
Slope intercept is y=mx+b
y = slope+y-int
always start with variable y =
slope = 12
y=12
slope needs x
y=12x
y-int = -7 so just plug it in as is
y=12x-7
how can i simplify this?
Answer:u dont
Step-by-step explanation:
writr equivalnt fractions for 2 2/3 and 2 1/4 using common denominator.
2 2/3 + 2 1/4= 2 ?/? + 2 ?/?
The value of the fraction 2 2/3 + 2 1/4 is 4 11/12.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, the addition of the fraction will be:
= 2 2/3 + 2 1/4
= 2 8/12 + 2 3/12
= 4 11/12
The value is 4 11/12.
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i need help with this question i will give brainliest!!
Answer:
Question 1 is G.
Question 2 is B
Question 3 is D
Question 4 is A.
Step-by-step explanation:
Which statement best reflects the solutions of the equation X over X minus one minus one over X -2 equals 2X -5 over X squared minus 3X +2
The statement which best reflects the solutions of the equation; as given in the task content is; x = 3 is a valid solution and x = 2 is an extraneous solution.
What is the solution of the equation?It follows from the task content that the statement which represents the solution of the given equation be determined.
Since the given equation can be written algebraically as follows;
x/(x - 1) - 1/(x - 2) = (2x - 5) / (x² - 3x + 2)
By observation; (x - 1) (x - 2) = x² - 3x + 2.
Therefore, by multiplying through the equation by; x² - 3x + 2; we have;
x (x - 2) - 1 (x - 1) = 2x - 5
x² - 2x - x + 1 = 2x - 5
x² - 5x + 6 = 0.
Hence, the equation above can be solved quadratically so that we have;
(x - 3) (x - 2) = 0.
Therefore, the solution to the given equation is; x = -3 Or x = 2.
However, the solution x = 2 renders the equation undefined, hence, it is not a valid solution but an extraneous solution.
Therefore, the statement which reflects the solutions to the given equation is; x = 3.
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Addison and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $5 and a drink for $4.25. How much would it cost if they bought 8 bags
of popcorn and 4 drinks? How much would it cost if they bought p bags of popcorn
and d drinks?
Really hope this helps you!
please help!! ASAP!!!!!
The amount Heidi earned in commission is $30 and the amount store made from her sale is $720.
We will solve the given problem using percentages.
We are given the following;
A salesperson at a jewelry store eams 4% commission each week.
Last week, Heidi sold $750 worth of jewelry.
We need to find the amount Heidi earned in commission and the amount store made from her sale.
Let us find the amount Heidi earned in commission;
$750 * 4% = 750 * 4 / 100 = 7.5 * 4 = 30
So, Heidi earned $30 from the commission.
Let us find the amount store made from her sale;
The amount store earns
= The total amount of sales - commission of Heidi
= $750 - $30
= $720
So, the store earns $720.
Thus, the amount Heidi earned in commission is $30 and the amount store made from her sale is $720.
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Increase 100kg by 25%
Answer: 125
Step-by-step explanation:
100% = 100
25% of 100 = 100/4 = 25
100 + 25% (25) = 125
HELP MEEE 10x= 13 WHAT IS THE VALUE OF x
Answer:
Step-by-step explanation:
1.3
10/13=1.3
Answer:
[tex]\boxed{\sf \boxed{\sf x=\cfrac{13}{10}}\:or\: \boxed{\sf x=1.3}}[/tex]
Step-by-step explanation:
[tex]\sf 10x= 13[/tex]
Divide both sides by 10:-
[tex]\sf \cfrac{10x}{10}=\cfrac{13}{10}[/tex]
Simplify:-
[tex]\sf x=\cfrac{13}{10}[/tex]
____________________
Hope this helps!
Have a great day!
-4|w-16|+9=39
solve for w
Answer:
There is no solution because after solving the absolute value, the number will be multiplied by -4 which would be getting positive 9 impossible.
Katherine drove home from college traveling an average speed of 65.1 mph and drove back to the college the following week at an average speed of 70.7 mph. If the total round trip took 7 hours, how much time did it take Katherine to drive from home back to college? Express the time in hours and minutes. Round to the nearest minute.
The number of time it take Katherine to drive from home back to college is: 3 hrs 21 min.
How to find the time?Going home:
Rate = 65.1 mph , distance = x miles ; time = distance /rate = x/ 65.1 hrs
Going to college:
Rate = 70.7 mph ; distance = x miles ; time = x/70.7 hrs
Equation:
x/70.7+ x/ 65.1= 11
70.7x + 65.1x = 7 × 65.1 × 70.7
Combine like terms
135.8x = 32,217.99
Divide both side by 135.8x
x = 32,217.99/ 135.8
x = 237.25 miles
Home back to college
= 237.25 /70.7
=3.35 hrs
= 3 hrs 21 min
Therefore it take Katherine 3 hrs 21 min.
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A regulation baseball field measures 90 feet between each base what is the distance around the bases in yards
The distance around the bases in meters will be 27.432 meters.
How many meters are in 1 feet?
In one feet there are 0.3048 meters.
Given is a baseball field measures 90 feet between each base.
Distance between each base in feet = [d] = 90 feet
The distance between each base in meters will be -
D [meters] = 90 x 1 ft
D [meters] = 90 x 0.3048 meters
D [meters] = 27.432 meters
Therefore, the distance around the bases in meters will be 27.432 meters.
Write the equation in standard form using integers
(no fractions or decimals): y= -2/3 x-1
The standard form of the equation y = -2/3 x - 1 is 2x + 3y = -3.
How to write linear equation in standard form?The standard form for linear equations in two variables is Ax + By = C. Where,
A, B and C are constant.x and y are the variables.The equation is represented in slope intercept form. So, let' represent it in standard form.
Therefore,
y = - 2 / 3 x - 1
add 2 / 3 x to both sides of the equation
y = - 2 / 3 x - 1
y + 2 / 3 x = - 2 / 3 x + 2 / 3 x - 1
y + 2 / 3 x = - 1
Let's multiply all through by 3 to eliminate the fraction
y + 2 / 3 x = - 1
3y + 3(2 / 3 x) = -3
Therefore, the standard form equation is 2x + 3y = -3
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What does an rectangle add up to
Answer:
360
Step-by-step explanation:
it has four right angles 90×4 =360
The average annual stock return is 11. 3%. If you begin your investment portfolio with $2,000, what will your portfolio be worth in 30 years if the average holds?.
If the average annual stock return is 11. 3%, the average holds a portfolio of $8600 worth 30 years.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that, the average annual stock return is 11. 3% and you begin your investment portfolio with $2,000,
Suppose the amount he earns in one year is x,
x= 11. 3%. of $2,000
x=220
The portfolio be worth 30 years if the average holds are,
=220 × 30
=$ 6600
The net cost is the sum of the return and the initial investment,
=$ 6600 + $ 2000
=$8600
Thus, if the average annual stock return is 11. 3%, the average holds a portfolio of $8600 worth 30 years.
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