The expected value to the nearest dollar is 4895.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
Given that Amount of Claim $0 $2000 $4000 $6000 $8000 $10000
Probability 0.70 0.15 0.08 0.05 0.01 0.01
Therefore, Expected value E(x) = Σx * p(x)
E(x) = - 5(0.999999) + 4899999995(0.000001)
E(x) = - 4.999995 + 4899.999995
E(x) = 4895
Hence, expected value is 4895
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ1
Write an equation of the line that is parallel to 2x 4y = 6 and passes through the point (6, 4). a) y = 2x 4 b) y = 2x - 8 c) y = -2x 16 d) y = -12x 7
y =-1/2x+7 is the equation of the line that is parallel to 2x+4y=6 and passes through the point (6, 4).
Parallel to 2x+4y=6 and passing through(6,4) 2 x 4y = 6
Find the slope of this line and make y the subject 4y=-2x 6
By Dividing the equation by 4 we get:
y=-1/2 x + 3/2
Compare this equation with y=mx+b
slope m=-1/2
The slope of a line parallel to the above line will be the same
The slope of the required line will be - 1/2
m=-1/2, at the point (6,4)
Finding b by plugging the values of m & the point in y=mx+b
4=-3+b
b= 7
m=-1/2
Plug value of the slope and b in y = mx +b
The required equation is y=-1/2x+7
To know more about the equation of the line:
https://brainly.com/question/12688284
#SPJ4
The points D(3,-5), E(3, 4), and F(-4, 3) form a triangle. Plot the points then
click the "Graph Triangle" button. Then find the perimeter of the triangle. Round
your answer to the nearest tenth if necessary.
The points D(3,-5), E(3, 4), and F(-4, 3) form a triangle. Then 26.701 unit is the perimeter of the triangle.
What is perimeter?The length of a two-dimensional shape's perimeter is referred to as its perimeter. The total length of all the sides of the thing is also a definition for it. The perimeter of the form is equal to the algebraic sum of each side's length. For the various geometric forms, there are formulae accessible. The radius of a shape's edge is known as the perimeter. The length of the shape's edge is measured by its perimeter. All of the shape's sides added together provide it. It just has one dimension and uses linear units to represent itself. In contrast, area quantifies how much space a form takes up.
The points D(3,-5), E(3, 4), and F(-4, 3) form a triangle.
DE = [tex]\sqrt{(3-3)^2+ (4 +5)^2}[/tex]
DE = 9 units
EF = [tex]\sqrt{(-4-3)^2+ (3-4)^2}[/tex]
EF = √50 units
DF = [tex]\sqrt{(-4-3)^2 + (3+5)^2}[/tex]
DF = √113 units
So, the perimeter of the triangle DEF = sum of all three sides
= 9 units + √50 units + √113 units
= 26.701 unit
To know more about perimeter refer to:
https://brainly.com/question/345835
#SPJ1
Hello! I'm taking geometry and any help would be appreciated!
Answer: [tex]4\sqrt{26}[/tex]
Step-by-step explanation:
This is a rather tricky question at first, but it's easy when you figure out the trick.
The key here is using the Pythagorean theorem twice.
We see that the big triangle is divided by its height into two smaller ones.
First, use the Pythagorean theorem on the triangle on the left to find the height.
height = [tex]\sqrt{80-64}=\sqrt{16} =4[/tex]
Now that we know the height is 4, we can use the Pythagorean theorem on the triangle on the right to find x.
x = [tex]\sqrt{20^{2}+4^{2} } =\sqrt{416} = 4\sqrt{26}[/tex]
And there we have our final answer.
supplementary angles.
If the measure of
measure of
m
The additional angles are P and Q. The measure of angle P = 116 if the measure of angle Q is 64º
What is angle?A pair of rays (half-lines) with a shared terminal are combined to form an angle. The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms. An angle is formed when two straight lines or rays meet at a single terminal.The place where two points converge is known as an angle's vertex. The name "angle" comes from the Latin word "angulus," which meaning "corner."When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles. 360 degrees make up a circle.Additional angles add up to 180.
P+Q = 180
P +64 = 180
Subtract 64 from each side
P = 180-64
P =116
The complete question is:
Angle P and angle Q are supplementary angles. If the measure of angle Q is 64º, find the measure of angle P.
To learn more about angle, refer to:
https://brainly.com/question/25716982
#SPJ1
A gallon contains 8 pints each pint has 2 cups how many cups are in 10 gallons
Answer:
160 cups are in 10 gallons
The contractor for a new school put a rectangular garden in the courtyard. The length of this garden is 5 feet longer than its width. If the area is 414 square feet, what is the length of the rectangle?
The length of the rectangular garden is 23 feet.
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Given that,
Length of the rectangular garden is 5 feet longer than its width.
Let w be the width of the rectangle.
Then w + 5 is the length of the rectangle.
Area of a rectangle = Length × Width
Area is given as 414 square feet.
(w + 5) w = 414
w² + 5w - 414 = 0
Factorizing,
(w - 18) (w + 23) = 0
w - 18 = 0, then w = 18
w + 23 = 0, then w = -23
w = -23 is not possible for the width.
So w = 18 feet
Length of the rectangle = w + 5 = 18 + 5 = 23 feet
Hence 23 feet is the length of the rectangle.
Learn more about Area here :
https://brainly.com/question/27683633
#SPJ1
what is 4nm0 x 2m4 n3 =
On solving the algebraic expression 4nm^0 × 2m^4n^3, the value is obtained as 10368.
What is algebraic expression?
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
The given algebraic expression is -
4nm^0 × 2m^4n^3
The values for n and m is given as 2 and 3 respectively.
Substitute the values of n and m in the algebraic expression.
= 4nm^0 × 2m^4n³
= 4(2)(3)^0 × 2(3)^4(2)³
Use the exponents rule -
= 4(2)(1) × 2(81)(8)
Use the arithmetic operation of multiplication -
= 8 × 1296
= 10368
Therefore, the final value is obtained as 10368.
To learn more about algebraic expression from the given link
https://brainly.com/question/2164351
#SPJ1
If m=3 and n=2. What is 4nm^0 x 2m^4n^3 ?
there will be 45 people on the guest list. 13 of the people will be Musicians, and the rest will be fashion professionals. what is the ratio of the musicians to fashion professionals?
The ratio of the musicians to fashion professionals is 13 : 32
what is the ratio of the musicians to fashion professionals?Total number of people on the guest list= 45
Number of musicians= 13
Number of fashion professionals = Total number of people on the guest list - Number of musicians
= 45 - 13
= 32 people
The ratio of the musicians to fashion professionals = 13 : 32
Ultimately, based on the given situation the ratio of musicians to fashion professionals = 13 : 32
Read more on ratio:
https://brainly.com/question/2328454
#SPJ1
Find the circumference of a circle with radius, r = 4.8m.
Give your answer rounded to 1 DP.
Answers please
The circumference of a circle with given radius is 30.1 meters.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Also, it has rotational symmetry around the center for every angle.
Given the radius of the circle = 4.8 m
to find the circumference,
circumference of a circle is given by
C = 2πr
where r = radius = 4.m
C = 2π(4.8)
C = 2(3.14)(4.8)
C = 30.144 m
C = 30.1 m
Hence the circumference is 30.1 metres.
Learn more about circles;
https://brainly.com/question/29142813
#SPJ1
Luke started a weight loss program. The first week, he lost X pounds. The second week, he lost 3/2 pounds less than 3/2 Times do the pounds he lost the first week. The third week, he lost 1 pound more than 3/4 of the pounds he lost the first week. Liam started a weight loss program when Luke did. The first week, he lost 1 pound less than 3/2 times The pounds Luke lost the first week. The Second week, he lost 4 pounds less than 5/2 times The pounds Luke lost the first week. The third week, he lost 1/2 pounds more than 5/4 times the Pounds Luke lost the first week.  Assuming they both lost the same number of pounds over the three weeks, complete the following sentences
1. The expression of Luke's weight loss over the three weeks is 13/4 x-1/2
2. The expression of Liam's weight loss over the three weeks = 21/4 x-9/2
3. Luke lost 2 pounds in the first week.
4. The number of pounds Luke and Liam each lost over the three weeks is 6 pounds.
In the given question, Luke started a weight loss program.
The first week, he lost X pounds.
The second week, he lost 3/2 pounds less than 3/2 Times do the pounds he lost the first week.
So the expression is:
3/2 x - 3/2
The third week, he lost 1 pound more than 3/4 of the pounds he lost the first week.
Now the expression is:
3/4x + 1
Liam started a weight loss program when Luke did.
The first week, he lost 1 pound less than 3/2 times The pounds Luke lost the first week.
3/2 x - 1
The Second week, he lost 4 pounds less than 5/2 times the pounds Luke lost the first week.
5/2 x - 4
The third week, he lost 1/2 pounds more than 5/4 times the Pounds Luke lost the first week.
5/4 x + 1/2
Assuming they both lost the same number of pounds over the three weeks, then we have complete the following sentences.
1. We have to write the expression for Luke's weight loss over the three weeks.
The expression of Luke's weight loss over the three weeks = The weight lost in first week + The weight lost in second week + The weight lost in third week
The expression of Luke's weight loss over the three weeks = x + 3/2 x - 3/2 + 3/4x + 1
Now we simplify the expression.
The expression of Luke's weight loss over the three weeks = 13/4 x - 1/2
2. We have to write the expression for Liam's weight loss over the three weeks.
The expression of Liam's weight loss over the three weeks = The weight lost in first week + The weight lost in second week + The weight lost in third week
The expression of Liam's weight loss over the three weeks = 3/2 x - 1 + 5/2 x - 4 + 5/4 x + 1/2
Now we simplify the expression.
The expression of Liam's weight loss over the three weeks = 21/4 x - 9/2
3. Now we have to find the number of pounds Luke lost in the first week.
As given that they lost the same weight. So,
The expression of Luke's weight loss over the three weeks = The expression of Liam's weight loss over the three weeks
13/4 x - 1/2 = 21/4 x - 9/2
Add 9/2 on both side, we get
13/4 x + 4 = 21/4 x
Subtract 13/4 x on both side, we get
2x = 4
Divide by 2 on both side, we get
x = 2
Hence, Luke lost 2 pounds in the first week.
4. We have to find the number of pounds Luke and Liam each lost over the three weeks.
The expression = 21/4 x - 9/2
Now putting the value of x.
The expression = 21/4 × 2 - 9/2
The expression = 21/2 - 9/2
The expression = 12/2
The expression = 6 pounds
To learn more about solving the expression link is here
brainly.com/question/15005607
#SPJ4
how many cubic meters are there in a cubic centimeter?
There are 1e-6 cubic meters in a cubic centimeter.
A centimeter is a metric unit of measurement used for measuring the length of an object. It is written as cm. It can also be defined as the unit of length in the International System of Units (SI), the current form of the metric system. It is equivalent to 1/100 meters.
A meter has 100 centimeters.
10 millimeters make one centimeter.
The centimeter can be written as cm.
While calculating the surface area of an object, the unit of measurement becomes cm².
While measuring the volume of an object, the unit of measurement becomes cm³.
Thus, There are 1e-6 cubic meters in a cubic centimeter.
To know more about centimeter visit: brainly.com/question/19098836
#SPJ4
This diagram was constructed with a straightedge and compass. A is the center of one circle, and C is the center of the other. Select all true statements.
The correct answers are 1, 2, and 5 AB=BC,AD=2AC and BD=CD.
What is circle?Circle is a two-dimensional shape made up of points that are all the same distance from the center point. This distance is called the radius. Circles are one of the most fundamental shapes in geometry, and can be found in nature in many places, from the sun to the rings of Saturn. Circles can also be used to create other shapes such as ellipses, sectors and arcs.
1. The two circles have the same radius.
2. The two circles intersect at two distinct points.
3. The line segment connecting A and C is the diameter of the larger circle.
4. The line segment connecting A and C is the radius of the smaller circle.
5. The two circles have different radii.
6. The two circles have the same circumference.
The correct answers are 1, 2, and 5.
To know more about circle click-
https://brainly.com/question/27961297
#SPJ1
How long will it take a car to travel 200km if it has an average speed of 55km hr?
It will take 3 hours and 40 minutes for a car to travel 200km at an average speed of 55km/hr.
200km / 55km/hr = 3.63 hrs
3.63 hrs x 60 minutes/hr = 218 minutes
218 minutes - 60 minutes = 158 minutes
158 minutes / 60 minutes = 2.63 hrs
2.63 hrs + 1.37 hrs (3.63 hrs - 2.26 hrs) = 3.40 hrs
To calculate how long it will take a car to travel 200km at an average speed of 55km/hr, you first need to divide the distance (200km) by the speed (55km/hr). This gives you 3.63 hours. To convert this to minutes, you need to multiply this by 60 minutes/hour, which gives you 218 minutes. Subtracting 60 minutes from this gives you 158 minutes. To convert this to hours, you need to divide by 60 minutes/hour which gives you 2.63 hours. Then, you need to add 1.37 hours (3.63 hours - 2.26 hours) to get a total of 3.40 hours. Therefore, it will take 3 hours and 40 minutes for a car to travel 200km at an average speed of 55km/hr.
Learn more about minutes here
https://brainly.com/question/15600126
#SPJ4
please help I have tried to Do this problem like 8 times alr
Answer:
B and C I think.....
Step-by-step explanation:
it makes sense cuz if u make a line it'll kinda go through.
Nathan wants to work at most 50 hours per week. Write an inequality representing that additional constraint. Then, graph it on the same coordinate plane above.
Answer:
250
Step-by-step explanation:
a sample of midterm grades for five students showed the following results: 69, 62, 79, 87, 73. which of the following statements are correct, and which should be challenged as being too generalized? (a) the average midterm grade for the sample of five students is 74. (b) the average midterm grade for all students who took the exam is 74. (c) an estimate of the average midterm grade for all students who took the exam is 74. (d) more than half of the students who take this exam will score between 67 and 82. (e) if five other students are included in the sample, their grades will be between 62 and 87. which of the above statements are correct? (select all that apply.) the average midterm grade for the sample of five students is 74. the average midterm grade for all students who took the exam is 74. an estimate of the average midterm grade for all students who took the exam is 74. more than half of the students who take this exam will score between 67 and 82. if five other students are included in the sample, their grades will be between 62 and 87. which of the above statements should be challenged as being too generalized? (select all that apply.) the average midterm grade for the sample of five students is 74. the average midterm grade for all students who took the exam is 74. an estimate of the average midterm grade for all students who took the exam is 74. more than half of the students who take this exam will score between 67 and 82. if five other students are included in the sample, their grades will be between 62 and 87
The (a) and (c) statements are correct out of five statements are (a) and (c) and other statments i.e., (b), (d) and (e) are too generalised statements.
We have a sample of midterm grades for five students are following 69, 62, 79, 87, 73. Average Formula : It is also called the arithmetic mean, which is calculated by dividing the sum of all given observations to the total number of observations.
Average = (a₁+ a₂+ a₃+ ---+ aₙ )/n
where, a₁, a₂,a₃,--,aₙ --> Obersvations
n --> number of observations
So, Average midgrade is written as
= (69+62+79+87+73)/5 = 370/5 = 74
a) Average of midgrade for the sample of five students is equals to 74, so it is a correct statement.
b) Statement (b) is too generalised because the average 74 is base only on a sample of five students not for all students.
c) A sample five students is selected from population (all students), so the average misgrade 74 of five students referred as estimate for all students who took the exam. Thus, it is correct statement.
d) This statement is too generalised because it is possible that the population deviates from this sample of five students.
e) This statement is too generalised because it is possible that the newly added five students could have different grades which may be lower than 62 and greater than 87.
To learn more about Average formula, refer:
https://brainly.com/question/16612044
#SPJ4
Complete question:
A sample of midterm grades for five students showed the following results: 69, 62, 79, 87, 73. which of the following statements are correct, and which should be challenged as being too generalized?
(a) the average midterm grade for the sample of five students is 74.
(b) the average midterm grade for all students who took the exam is 74.
(c) an estimate of the average midterm grade for all students who took the exam is 74.
(d) more than half of the students who take this exam will score between 67 and 82.
(e) if five other students are included in the sample, their grades will be between 62 and 87.
How do you solve K problems?
When we say "solve for K" we mean to isolate K by itself on one side of the equal sign. You can do this by "moving" things from one side to the other using mathematical rules.
What does it mean to solve for K?
To isolate K by itself on one side of the equal sign is what we mean when we say "solve for K." Using mathematical principles, you can accomplish this by "moving" objects from one side to the other. The most crucial rule is that anything you do to one side of the equation must also be done to the other.
The K value, also known as the bending limit, of a cyclotron is the ratio between the obtainable energy and the charge-to-mass ratio, where is the particle's kinetic energy, m is the number of atoms, and k is the variational constant. By dividing the y-coordinate by the x-coordinate, we can calculate k when given any position because it is constant (the same for every point).
To learn more about Value of K refer to:
brainly.com/question/25095346
#SPJ4
[tex]2(x+5)=3x+1[/tex]
Answer:
1
Step-by-step explanation:
Given that
a
= 10 cm and
b
= 13 cm, work out the height of the triangle.
I want the response only
The height of the triangle will be equal to 16.4 cm.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that the two sides of the right-angle triangle are a = 10 cm and b = 13 cm.
The height of the triangle will be calculated as,
c² = a² + b²
c² = 13² + 10²
c² = 169 + 100
c = √( 269 )
c = 16.4 cm
To know more about the Pythagorean theorem follow
https://brainly.com/question/343682
#SPJ1
Mackenzie borrowed some money from her
friend in order to help buy a new video game
system. Mackenzie agreed to pay the friend back
some amount every week until her loan was paid
off. Let L represent the amount Mackenzie owes
her friend after t weeks. The table below has
select values showing the linear relationship
between t and L. Determine how many weeks
when the amount of money Mackenzie owed her
friend was $100.
T L
2 140
5 80
7 40
Mackenzie owed $100 after -4 weeks. This means that after 4 weeks, the amount she owed was $100 less than it was at the start.
How many weeks when the amount of money Mackenzie owed her friend was $100?We can use the information given in the table to write a linear equation in the form L = m * t + b, where m is the slope and b is the y-intercept.To find the slope (m), we can use the rise-over-run formula by choosing two points from the table: (t1, L1) and (t2, L2). Let's choose (2, 140) and (5, 80):$m = \frac{L2 - L1}{t2 - t1} = \frac{80 - 140}{5 - 2} = -20$Now that we know the slope, we can use one of the points to find the y-intercept (b). Let's use (2, 140):$L = m * t + b$$140 = -20 * 2 + b$$b = 140 + 40 = 180$So the linear equation that models the relationship between t and L is:$L = -20 * t + 180$To find the number of weeks when the amount of money Mackenzie owed was $100, we can set L equal to 100 and solve for t:$L = -20 * t + 180$$100 = -20 * t + 180$$80 = -20 * t$$t = \frac{80}{-20} = -4$So Mackenzie owed $100 after -4 weeks. This means that after 4 weeks, the amount she owed was $100 less than it was at the start.To learn more about linear relation refer:
brainly.com/question/13828699
#SPJ1
a table is 180 inches long. a bench is 23% shorter than the table. how long is the bench?
Answer: the bench is 138.6 inches long
PLS DO NUMBER 7 WILL MARK BRAINLY AND ALSO GIVE AN ADDITIONAL 100 PTS IF CORRECT PLS HURRY. THANK YOU
Answer: y = -3x + 2
Step-by-step explanation:
ur welcome
Jayden said the answer is (5x + 2)(x-6). Chelsea said the answer is (5x - 2)(x + 6). Who is correct? Explain your reasoning. ( points)
Answer:
what is the question?
Answer to what?
Theorem 6.1C states that if a quadrilateral is a parallelogram, then its consecutive _____ are supplementary.
According to Theorem 6.1C, a quadrilateral's subsequent angles are supplementary if it is a parallelogram.
One of the most fundamental geometric shapes is the square. This particular parallelogram contains four sides that are identical to one another and four right angles. Due to its two sets of parallel sides and four right angles, a square is also a rectangle.
A parallelogram's consecutive angles are congruent. A parallelogram's diagonals cut each other in half. A rhombus has four right-angled angles. A rhombus has consecutive sides that are congruent. Conclusion 6.3C. A parallelogram becomes a rectangle if one of its angles is a right angle.
Learn more about parallelogram Visit: brainly.com/question/20526916
#SPJ4
the point at which the altitudes intersect in a triangle___
Answer:
Step-by-step explanation:
The orthocenter
What are the 4 methods for solving quadratic functions?
There are several strategies for resolving systems of linear equations, including:
(1) Graphing Techniques
(2) The Substitution Method
(3) Using a linear combination
(4) The Matrix Approach
(1) Graphing Techniques: Useful if you simply need a broad answer or are certain that the intersection takes place at an integer location. To find where the two lines intersect, just plot them.
(2) The Substitution Approach: To begin, a linear equation for y must be resolved in terms of x. Substitute that expression for y in the other linear equation after that. A formula will be given to you in x. You'll know the intersection's x-coordinate if you can figure this one out. Insert x into either equation to get the equivalent y-coordinate.
(3) Using a linear combination: Add (or subtraction) a multiple of one equation to (or from) the other equation to make the x-terms or y-terms cancel out. Solve for x (or y, depending on which is left) before substituting to get the other coordinate.
(4) The Matrix Approach: This is actually just a streamlined notation of the Linear Combination approach.
To learn more about systems of linear equations link is here
brainly.com/question/21404414
#SPJ4
San Francisco's population has been declining since the "dot com" bubble burst. In 2002, the population was 776,000. The population P of San Francisco is P=776000e^-0. 015, where
t = 0 represents the year 2002. According to this model, when will the population reach 700,000?
The population will reach 700,000 in the year 2044. The equation to calculate this is t = ln(700000/776000)/(-0.015), which gives t = 42.
1. We are given the population of San Francisco in 2002, which is 776,000.
2. We are also given the equation P=776000e^-0.015, which is a model for the population of San Francisco over time.
3. We need to figure out when the population will reach 700,000.
4. To do this, we need to rearrange the equation to solve for t, the number of years since 2002.
5. Rearranging the equation gives us t = ln(700000/776000)/(-0.015).
6. Plugging in our values gives us t = 42.
7. This means that the population of San Francisco will reach 700,000 in the year 2044 (i.e. 42 years since 2002).
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
Jake spent d dollars to go on vacation. He bought a plane ticket for $250 and stayed in a hotel for 5 nights. If the cost of the hotel room was the same each night, what expression can be used to find how much Jake paid each night for the hotel?
The expression can be used Jake paid each night for the hotel is:
x = d/5 - $50
Now, According to the question:
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
The given data is:
He bought a plane ticket for $250 and stayed in a hotel for 5 nights.
The price d is equal to $250 + 5 prices of staying in a hotel for a night.
If we let "x" be the price per night then we can get the following:
The expression will be:
d = $250 + 5x
5x = d - $250
[tex]x = \frac{d - 250}{5}[/tex]
x = d/5 - $50
Hence, The expression can be used Jake paid each night for the hotel is:
x = d/5 - $50.
Learn more about Expression at:
https://brainly.com/question/13947055
#SPJ4
find the least common multiple of (x-3)^2, x^2-9, and (x+3)^3
PLEASEEEE HELP!
Answer:
Step-by-step explanation:
Which line on the coordinate plane has a zero slope?
Answer:
Line 1
Step-by-step explanation:
Slope = (y₂ - y₁)/(x₂ - x₁)
Now, in line 1, all the y coordinates are equal, meaning, that y₂ - y₁ = 0 no matter what. Hence, line 1 is the answer.
Cheers!