The Mean of both the company is 2 while the variance of companies A and B is 0.6 and 1.6 respectively.
Here we have the probability distribution of both companies A and B
a)
We need to find the mean and variance of the companies.
Mean = E(X) = ∑xp(x)
Variance = E(X - Mean)²
Hence the mean of Company A will be
= [1 X 0.3] + [2 X 0.4] + [3 X 0.3]
= 0.3 + 0.8 + 0.9
= 2
Now Variance will be
0.3[1 - 2]² + 0.4[ 2 - 2]² + 0.3[3 - 2]²
= 0.3[1] + 0.4[0] + 0.3[1]
= 0.3 + 0.3
= 0.6
Now for Company B, we get mean to be
[0 X 0.2] + [1 X 0.1] + [2 X 0.3] + [3 X 0.3] + [4 X 0.1]
= 0 + 0.1 + + 0.6 + 0.9 + 0.4
= 2
The variance of Company B will be
0.2[0 - 2]² + 0.1[1 - 2]² + 0.3[2 - 2]² + 0.3[3 - 2]² + 0.1[4 - 2]²
= 0.2[4] + 0.1[1] + 0.3[0] + 0.3[1] + 0.1[4]
= 0.8 + 0.1 + 0 + 0.3 + 0.4
= 1.6
b)
Here we see that the value of the variance of company B is greater than A
Hence proved.
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Complete Question
Let the random variable X represent the number of automobiles that are used for official business purposes on any given workday. The probability distribution for company A
x 1 2 3
f(x) 0.3 0.4 0.3
and for company B
x 0 1 2 3 4
f(x) 0.2 0.1 0.3 0.3 0.1
a) Find the mean and variance of companies A and B
b) Show that the variance of the probability distribution of company B is greater than A
If x = 7+√40, find √x + 1/√x
The value of Expression √x + 1/√x=(4√5+2√2)/3.
What are polynomials?Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables. x2+x-12 is an illustration of a polynomial with a single variable.
There are three terms in this example: x2, x, and -12.
Given:
x=7+√40
=7+2√10
=5+2+2√10
=(√5)²+2.√5.√2+(√2)²
=(√5+√2)²
∴√x=√5+√2 (neglecting the negative sign)
1/√x=1/(√5+√2)
=(√5-√2)/(√5+√2)(√5-√2)
=(√5-√2)/(5-2)
=(√5-√2)/3
√x+1/√x
=(√5+√2)+(√5-√2)/3
=(3√5+3√2+√5-√2)/3
=(4√5+2√2)/3
=(4√5+2√2)/3
√x + 1/√x=(4√5+2√2)/3.
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Are the following triangles congruent? Why or
why not?
Yes, SSS
Yes, ASA
Yes, AAS
No, there is not enough information
The following triangles are congruent.
Yes AAA
What is the value of 2x 3y 36 when Y 6?.
The value of x in equation 2x+3y=36, when y=6 is 9.
The replacement operation can be used in a variety of situations involving formal objects that contain symbols; it involves systematically replacing occurrences of a symbol with a particular value.
Substitution is a fundamental computer algebra operation.
Given equation 2x+3y=36 ; y=6
Solve the equation for given y.
Plugging y=6 in the given equation
We get 2x + 3(6) = 36
2x +18 = 36
2x = 36 - 18
2x = 18
x = 9
Therefore, the value of x in equation 2x+3y=36, when y=6 is 9.
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are the inhabitants of a certain village on the Nigerian border speaker the French or English if 64% speak French and 58% speak English what percentage speak
both languages? Two set problems
Answer: We can use the formulas for conditional probability to calculate the percentage of people in the village who speak both French and English.
P(French and English) = P(French) x P(English|French)
We know that P(French) = 64% and P(English|French) is the probability of someone speaking English given that they already speak French, which is 58%. So we can plug these values into the formula:
P(French and English) = 64% x 58% = 37.12%
Therefore, 37.12% of the inhabitants of the village on the Nigerian border speak both French and English.
Note that this is an estimation since this formula assumes independence and the real probabilities might be different.
Step-by-step explanation:
8. If the system has no
solution, what number
does the value of h need
to be? Show your work to
justify your answer.
− 6(hx + 2) = 3(x − 3) + 2(x + 2) +13x
The system has no solution when h is not equal to ( 18x+7 )/( -6x)
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
− 6(hx + 2) = 3(x − 3) + 2(x + 2) +13x
-6hx-12=3x-9+2x+4+13x
=> -6hx-12= 18x-5
=> -6hx = 18x-5 +12
=> -6hx = 18x+7
=> h = ( 18x+7 )/( -6x)
The system has no solution when h is not equal to ( 18x+7 )/( -6x)
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AC= 4√11
4√22
CB=
if my AC is 4√11 then how do i get CB??
x/sin 45 = 4√22/sin 90
CB = 4√22/sin 90 × sin 45
CB = 4√11
or
CB = √(4√22)²-(4√11)²
= 4√11
Answer:
CB = AC = 4√11
Step-by-step explanation:
We know that the sum of the angles of a triangle is 180°. If angle A = 45° and C = 90°, then angle B = 180° - 90° - 45° = 45°. This shows us that the triangle is isosceles and the leg AC is equal to the leg CB.
Consequently: CB = AC = 4√11
If we didn't know the length of AC, then it can be calculated from the hypotenuse:
AC² + CB² = AB²
2 * CB² = (4√22)²
CB² = (4√22)² / 2
CB² = 16 * 22 / 2
CB = √(16 * 11)
CB = 4√11
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How does the graph of an exponential function change as the base changes?.
The graph's shape changes depending on the base. The graph can be reflected across the y-axis by replacing x with x, and across the x-axis by replacing y with y.
How to graph an exponential function with the notation f (x) = bx f (x) = b x 1
Construct a points table. 2 Plot the y-intercept (0,1) (0, 1) as well as at least three other points from the table. 3 Through the points, doodle a straight line. 4 Declare the domain, the range, and the horizontal asymptote, y= 0 y = 0, as well as the coordinates of the three variables.y=2x is an easy exponential function to the graph.The graph of an exponential function increases or grows if its base exceeds 1(b > 1).To learn more about graphs here
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What is the distance between the points with coordinates 3/4 and 0 0 )?.
The distance between the pair of points with the coordinates ( 3, 4 ) and (0, 0) is given by 5 units.
As given in the question,
Given pair of points with the coordinates are as follow :
( x₁ , y₁ ) = ( 3,4 )
( x₂ , y₂ ) = ( 0, 0 )
General formula to determine the distance between two pair of points with the coordinates is :
= √( y₂ - y₁ )² + (x₂ - x₁ )²
Now, substitute the values of the coordinates to find the distance between two pair of points :
= √ ( 0 - 4 )² + ( 0 - 3 )²
= √4² + 3²
= √16 + 9
= √25
= 5 units.
Therefore, the distance between the given pair of points with the coordinates is equal to 5 units.
The above question is incomplete , the complete question is:
What is the distance between the pair of points (3, 4) and (0, 0) ?
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last year, Reuben biked 496 miles. This year, he biked m miles. Using m, write an expression for the total number of miles he biked.
The total number of miles Reuben biked last year and this year is the sum of the miles he biked last year and this year.
You can represent the total number of miles he biked as:
Total miles = 496 + m
Where 496 is the number of miles biked last year and m represents the number of miles biked this year.
So the expression for the total number of miles he biked is 496 + m
First, determine the range of the data without the outlier.
Then, determine the range of the data with the outlier.
Finally, make a conclusion about the effect of an outlier on range
Number of Purple Cars
Seen on the Way to School
A number line labeled number of cars ranges from 0 to 10 in increments of 1. It is titled number of purple cars seen on the way to school. Data are: 0, 3; 1, 3; 2, 2; 3, 1; 8, 1.
Number of Cars
The range of the data with the outlier is 7 and without is 2
How to determine the rangeFrom the question, we have the following parameters that can be used in our computation:
0, 3; 1, 3; 2, 2; 3, 1; 8, 1.
The range without the outlier
The range is calculated as
Range = Highest - Least
Without the outlier, we have
Range = 3 - 1
Range = 2
The range with the outlier
The range is calculated as
Range = Highest - Least
With the outlier, we have
Range = 8 - 1
Range = 7
Hence, the range are 2 and 7
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How is the Declaration of Independence a reflection of the colonist’s motivations?
Answer: The Declaration of Independence, adopted by the Continental Congress on July 4, 1776, is a reflection of the colonists' motivations in several ways. Firstly, the Declaration states that the colonists believed that all men are created equal and have the right to life, liberty, and the pursuit of happiness. This reflects the colonists' belief in the Enlightenment principles of natural rights and individual liberty, which were influential in shaping their motivations for seeking independence from British rule.
Secondly, the Declaration cites a long list of grievances against King George III, accusing him of violating the colonists' rights and abusing his power. This reflects the colonists' growing frustration and anger towards British rule, which had been building for many years prior to the drafting of the Declaration.
Thirdly, the Declaration states that the colonists had attempted to resolve their differences with the British government through peaceful means, but that these efforts had been unsuccessful. This reflects the colonists' desire for a peaceful resolution to their issues, but their willingness to fight for their rights if necessary.
In summary, the Declaration of Independence reflects the colonists' belief in natural rights and individual liberty, their growing frustration and anger towards British rule, and their desire for a peaceful resolution to their issues but their willingness to fight for their rights if necessary.
Step-by-step explanation:
Find an equivalent expression using the Distributive Property.
4xy−16x
Amelia cut a 168 inch long ribbon into 6 equal part. Patrick cut a 14 foot long ribbon into 7 equal piece
Amelia cut a 168 inch long ribbon into 6 equal part. Patrick cut a 14 foot long ribbon into 7 equal piece.
Amelia's ribbon pieces were 28 inches long each. Patrick's ribbon pieces were 2 feet long each.
Amelia's ribbon:
To calculate how long each piece of ribbon is, we need to divide 168 inches (the total length of the ribbon) by 6 (the number of pieces).
168 ÷ 6 = 28
Therefore, Amelia's ribbon pieces were 28 inches long each.
Patrick's ribbon:
To calculate how long each piece of ribbon is, we need to divide 14 feet (the total length of the ribbon) by 7 (the number of pieces).
14 ÷ 7 = 2
Since 1 foot is equal to 12 inches, we can convert 2 feet to 24 inches.
Therefore, Patrick's ribbon pieces were 2 feet (or 24 inches) long each.
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How does the process of solving an inequality with variables on both sides compare to solving an equation with variables on both sides?
Answer: It's the same process to get the variable by itself. But once found depending on how you are required to represent the solution, the final answer may vary. You need to also keep in mind that with negatives when multiplying and dividing you have to flip the inequality sign.
Step-by-step explanation:
Ex. 2x>4
x>2
but if
-2x>4
x<-2
Gina buys a television priced at $70. If the sales tax is 5%, how much tax will Gina pay?
Step-by-step explanation:
The answer is gotten by 5% of 70
5/100 × 70/1
= 35/10
= 3.5
Answer: $73.50
Step-by-step explanation:
First, we need to find what is 5% worth of 70 bucks. We would divide 5 by 100 since percents are based on 100 which gets us 0.05. Next do 0.05 * 70 = 3.5. Means that she'll pay $3.50 on top of the 70 bucks, so add the two together, common sense: $73.50. Have a good day ;)
Is 360 a full turn?.
Yes 360 degrees is full turn calling it a full rotation.
A degree is the name given to the mathematical unit of measurement for an angle. A protractor is a device used to determine the degree of an angle. Angles can be measured at different angles with different degrees, such as 30°, 45°, 60°, and so on. A complete circle rotates at 360°.
Each of the 360 equal segments that make up a rotation is referred to as a degree. We use a circle ° to represent a degree. 180°, for instance, denotes 180 degrees. An angle in degrees is an angle whose measure is expressed in degrees.
A 360 degree is also called as a Complete angle because it complete the whole round making the 180 degree angle twice giving us 360 degree.
A 360 when written as radian can be given by 2π ( where π= 180 degree)
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At occer practice for every 5 minute that bob run he pend 20 minute practicing dribbling if bob keep the ratio and he pend 36 mintue practicing dribbling how many minute doe he pend running
Bob spends 9 minutes running for every 36 minutes that he spends practicing dribbling.
What is ratio ?
A ratio is a mathematical comparison of two or more values or quantities. It is a way of expressing the relationship between different amounts or measurements.
The ratio of running to dribbling is 5 minutes of running to 20 minutes of dribbling. We can use this ratio to find out how many minutes Bob spends running if he spends 36 minutes practicing dribbling.
First, we can set up a proportion with the known ratio and the unknown value ,
5/20 = x/36
To find x we can cross-multiply to get ,
20x = 180
then divide both sides by 20 ,
x = 9
So, Bob spends 9 minutes running for every 36 minutes that he spends practicing dribbling.
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5/20 = x/36
To find x we can cross-multiply to get ,
20x = 180
then divide both sides by 20 ,
x = 9
So, Bob spends 9 minutes running for every 36 minutes that he spends practicing dribbling.
Can someone help me fast need help on it for grade tomorrow
Answer:
x = 5
Step-by-step explanation:
Angles on a straight line add up to 180, so add up the angles and equate to 180:
9x + 85 + 10x = 180
Now we can solve for x by simplifying further:
19x + 85 = 180
Subtract 85 on both sides:
19x + 85 - 85 = 180 - 85
19x = 95
Divide 19 on both sides which cancels out the 19 on the left:
x = 95/19 = 5
Which equation has roots of 3+i and 3-I
Answer:
The equation x2+6x+9 = 0 has roots of 3+i and 3-i. By the fundamental theorem of algebra, this equation has three roots, two of which may be equal. The standard quadratic equation using the given set of solutions {3+i,3-i} is y=x2+6x+9.
A rental car company charges $40.50 per day to rent a car and $0.12 for every mile driven. Sebastian wants to rent a car, knowing that: He plans to drive 400 miles. He has at most $210 to spend. Write and solve an inequality which can be used to determine dd, the number of days Sebastian can afford to rent while staying within his budget. Inequality: dd
Answer:
88.50
Step-by-step explanation:
0.12x400=48 dollars +the 40.50 dollars answer 88.50
Hello ixl. T and q are the midpoints of legs su and rv
RS is 75 units when T and q are the midpoints of legs SU and RV of a trapezoid.
What is a trapezoid?The bases are in step with one another. The median runs perpendicular to each bases, and its length will be determined by averaging the bases' lengths. 360° is the sum of all of the angles in a trapezoid. A aspect's angles upload as much as an entire one hundred eighty stages.
So, imagine cutting the trapezoid from half and and rotating and join it to became a long parallelogram
Now,
VR = UV + RS = 2QT
⇒ 35 + RS = 2 × 55
⇒ RS = 110 - 35
⇒ RS = 75
Thus, RS is 75 units when T and q are the midpoints of legs SU and RV of a trapezoid.
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5x(h+3) for h = 7 PLEASE HELP ME PLEASE IF YOU DO THANK YOU SO MUCH
This problem may be simplified by substituting the number seven into the original equation. The result will then be obtained by solving the given expression.
Put the supplied value of h, which is seven, in the given phrase to begin solving this problem. Then, using the BODMAS rule, the bracket will be solved first, followed by the addition, from which this can be solved yielding a result of 50.
This may be resolved as follows:
For h=7, in 5 x ( h + 3 )
= 5 x ( 7 + 3 )
= 5 x ( 10 )
= 50
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Please find the measure of the unknown values. No links are allowed, and if used, your answer will be reported. The first person to answer correctly will be highly favoured to get marked as brainliest.
I would appreciate a detailed answer!
Thank you.
Answer:
x = 79
Step-by-step explanation:
Since PQ and RS are most likely parallel lines, we can consider the orange angles (image provided below) to be similar due to them being alternate interior angles.
Now that we know that one angle of the triangle given (orange) is 46 degrees, we can solve for the other angle of the triangle. A triangle adds up to 180 degrees, so we can find the missing angle by subtracting 180 from the given angles: 180-33-46 = 101 (marked in red).
With the red angle, we can find x by subtracting 180 from 101. Why you may ask? Because RS is parallel to PQ, so the degree will be 180. Therefore, the missing angle, x, will be 79.
Use the number line to solve -2+4
Answer:
-2+4=2
Step-by-step explanation:
All you need to do is count 4 spaces from -2 on the number line. See in image.
-Hope this helped
In rDEF, ÐE = 90°, ÐF = 81°, and DE = 14. 6 ft. Find the length of EF, to the nearet tenth of a foot
The length of EF, to the nearest tenth of a foot is found to be 14.3 ft.
In rDEF, DE = 90°, DF = 81°, and DE = 14. 6 ft,
Because the given triangle is a right angled triangle, we can use the concepts of trigonometry in order to solve the given problem.
Using the trigonometric relation,
sin A = P/H
Where,
P is perpendicular and H is the hypotenuse.
We have, A = 81°,
It is given that the value of DE is 14.6 ft.
We know, sin(81°) = 0.98
So, the length of EF, to the nearest tenth of a foot is,
0.98 = EF/14.6
EF = 14.3 ft.
So, the length of the EF is 14.3 ft.
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Complete Question - In ΔDEF, ∠E = 90°, ∠F = 81° and DE = 14.6ft. Find the length of EF, to the nearest tenth of a foot.
How many solutions are there to the inequality x1 x2 x3 <= 11?.
There are 364 solutions to the given inequality: x1 + x2 + x3 <= 11.
To get the solution of the inequality x1 + x2 + x3 <= 11, we first need to include an additional variable in the inequation to write in as an equation.
Therefore, let the additional variable be x4.
Thus, equation is x1 + x2 + x3 + x4 = 11
The number of solutions of an equation can be calculated by the formula,
[tex]( \left \ {{n+ r - 1} \atop {n}} \right.)[/tex], where n is the constant value of the equation and r is the number of variables in the equation.
In this case, n = 11 and r = 4
Therefore,
[tex]( \left \ {{n+ r - 1} \atop {n}} \right.)[/tex] = [tex]( \left \ {{11+ 4 - 1} \atop {11}} \right.)[/tex] = [tex]( \left \ {{14} \atop {3}} \right.)[/tex]
= 14 * 13 * 12 * 11!/(3 * 2 * 1 * 11!)
=2184/6 = 364
Therefore, there are 364 possible solutions of the inequality.
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What is an equation of the line that
passes through the points (-5, 7) and (5, -5)?
Answer:
[tex]y=-\frac{6}{5} x[/tex]
Step-by-step explanation:
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]\frac{7-(-5)}{-5-5}[/tex]
[tex]\frac{7+5}{-10}[/tex]
[tex]-\frac{12}{10}[/tex]
[tex]y=-\frac{6}{5} +b[/tex]
[tex]-5=-\frac{6}{5} (5)+b[/tex]
- 5 = - 5 + b
b = 0
[tex]y=-\frac{6}{5} x[/tex]
What is the slope of the line that passes through the points (9, 5)(9,5) and (21, -5)(21,−5)? Write your answer in simplest form.
The slope of a line is determined by the formula:
(y2 - y1) / (x2 - x1)
So for the points (9, 5) and (21, -5), the slope would be:
(-5 - 5) / (21 - 9) = -10 / 12 = -5/6
So the slope of the line that passes through the points (9, 5) and (21, -5) is -5/6 in simplest form.
What is the distance between points 2 3 and 5 7?.
The distance between two points (2, 3) and (5, 7) is 5 units.
Therefore the answer is 5.
To find the distance between the points (2, 3) and (5, 7), we can use the distance formula:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
where (x₁, y₁) = (2, 3) and (x₂, y₂) = (5, 7)
Substituting the coordinates of the two points into the formula:
d = √((5 - 2)² + (7 - 3)²)
d = √((3)² + (4)²)
d = √(9 + 16)
d = √(25)
d = 5
So the distance between the points (2, 3) as well as (5, 7) will be 5 units by solving the above expression.
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In a recent year 27.6 of doctors were female if. There were 52.500 female doctors registered what’s the total number
Answer:
190,217
Step-by-step explanation:
Let x = number of doctors.
27.6% of x is 52,500
0.276x = 52,500
x = 52,500/0.276
x = 190,217
