Answer:
x=4
Step-by-step explanation:
1) first write it down --> 11x-2+9x+1=19x+3
2) then combine like terms on the left side of the equation. --> 20x-1=19x+3
3) Then subract 19x on both sides --> x-1=3
4) After add 1 to both sides --> x=4
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=8.9 meters and b=2.9 meters, what is c? If necessary, round to the nearest tenth.
Click on all the shapes that can be created by cutting a rectangular pyramid perpendicular to its base.
A. pentagon
B. rectangle
C. square
D. trapezoid
E. triangle
The shape that we obtained will be a triangle. Then the correct option is E.
What is the pyramid?In terms of geometry, a pyramid is a polygon that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex. It has a polygonal basis and is a conic solid. There are n + 1 points, n + 1 sides, and 2n edges in a pyramid with an n-sided base. Every pyramid is dual in itself.
If the base of the pyramid is a rectangle then the pyramid is known as a rectangular pyramid.
If the pyramid is separated by slicing a rectangular pyramid perpendicular to its base. Then the shape that we obtained will be a triangle.
Then the correct option is E.
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What part of an hour passes from 3:12 p.m. to 5:30 p.m.?
Answer:
2.3 hours
Step-by-step explanation:
From 3:12 pm to 4:12 pm, one hour passes.
From 4:12 pm to 5:12 pm, another hour passes.
From 5:12 pm to 5:30 pm, there are 18 minutes that pass.
Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.
To convert this to a fraction, we can write:
2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours
So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.
Schnortz has fenced in his 36 square yard circular garden. Next year, he plans to double the garden's area, but maintain its circular shape. To the nearest foot, how much more additional fencing will he need to enclose the garden next year?
Answer: 26ft
Explanation
Given
• Has fenced in his 36 yr² circular garden.
,• He plans to double the garden's area (36 yr² x 2), but maintain its circular shape.
The area of a circle (A) can be given with the following formula:
\(A=\pi r^2\)where r represents the radius.
The edge of the area is covered with a fence, meaning that we have to find the perimeter given by the circumference (C ) of the garden to know how much fence we have. The circumference C can be calculated using the radius as follows:
\(C=2\pi r\)As we have the area that was fenced, we can calculate the radius using the formula for the area and then calculate the circumference with the radius.
0. Calculating the radius with the formula of the area.
\(36=\pi r_1^2\)Simplifying:
\(r_1^2=\frac{36}{\pi}\)\(\sqrt{r_1^2}=\sqrt{\frac{36}{\pi}}\)\(r_1=\frac{6}{\sqrt{\pi}}\)2. Replacing the radius to find the circumference:
\(C_1=2\pi(\frac{6}{\sqrt{\pi}})\)Simplifying:
\(C_1\approx21.27yd\)3. Next, we have to do the same but with the double of the area:
\(36\times2=\pi r_2^2\)\(72=\pi r_2^2\)\(r_2=\sqrt{\frac{72}{\pi}}\)Now we have to replace it to find the circumference:
\(C_2=2\pi(\sqrt{\frac{72}{\pi}})\)\(C_2\approx30.08yd\)To calculate the additional fencing (Ca), we have to subtract the circumferences as follows:
\(C_a=C_2-C_1\)Replacing the values:
\(C_a\approx30.08-21.27\approx8.81yd\)Finally, we have to convert them to foot, as we are asked in the problem:
\(8.81yd\times\frac{3ft}{1yd}\approx26.43ft\approx26ft\)You and your friend enter a drawing with 3 different prizes. A total of 11 people entered the drawing, and prizes are awarded randomly.
There are 990 ways to award the prizes.
What is the probability that you win first prize and your friend wins second prize?
A. \(\frac{1}{11}\)
B. \(\frac{9}{990}\)
C. \(\frac{1}{990}\)
D. \(\frac{11}{990}\)
The probability that you win first prize and your friend wins second prize is given as follows:
B. 9/990.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The total number of outcomes is given as follows:
990.
The number of desired outcomes is of 9, as:
You win the first prize.Your friend wins the second prize.There are 11 - 2 = 9 people that can win the third prize.Hence:
1 x 1 x 9 = 9.
Meaning that the probability is of:
p = 9/990.
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How do you identify the axis's of a matrix
Answer: The simplest way to find the rotation angle is to take the trace of the matrix, the sum of the diagonal elements.
Step-by-step explanation: step 1 Show that the determinant is 1. Matrices with determinant -1 are reflections no rotations.
step 2 Find the eigenvalues. The three eigenvalues of the matrix are 1,e−iθ, where θ is the angle of rotation.
step 3 find the eigenvector for the eigenvalue 1. This is the axis of rotation.
Is there a dilation the Maps shape lll onto shape ll if so what is the scale factor and is it in enlargement or reduction?
Answer:
steps below
Step-by-step explanation:
Vertex of Shape I : (1,1) (2,1) (2,2) (1,2) ---- (x,y)
Vertex of Shape II : (3,3) (6,3) (6,6) (3,6) ---(x',y') : (x*3 , y*3)
Vertex of Shape III : (2,2) (4,2) (4,4) (2,4) --- (x'',y'') -> (x' , y') : (x''*1.5 , y''*1.5)
Shape I dilate on to Shape II: Enlargement with scale factor of 3
dilation the Maps shape lll onto shape ll : Enlargement with scale factor of 1.5
Hi I need a lot of help with this one thank u! The last number is 13 on top
ANSWER
The perimeter of the base = 40 ft
The slant height = 13 ft
L.A = 260 ft^2
Area of a base = 100 ft^2
S.A = 360 ft^2
EXPLANATION
Given information
The figure given is a square-based pyramid
The base side of the pyramid = 10 ft
The slant height of the pyramid = 13 ft
Firstly, we need to find the perimeter of a square-based pyramid
The formula for calculating the perimeter of a square-based pyramid is given below as
\(\begin{gathered} \text{ Perimeter = 4a} \\ \text{ a= 10ft} \\ \text{ Perimeter = 4}\times10 \\ \text{ Perimeter = 40.0ft} \end{gathered}\)
Part B
The slant height of the pyramid is 13 ft
Part C
Find the lateral area of the pyramid?
To find the lateral area of the pyramid, follow the steps below
Step 1: Write the formula for calculating the lateral area of the pyramid
\(\begin{gathered} \text{ L.A = 2al when slant height\lparen l\rparen is given} \\ \text{ Where a is the base side of the pyramd and l is the slant height of the pyramid} \end{gathered}\)Substitute a =10 and h = 13 into the above formula in step 1
\(\begin{gathered} \text{ L.A = 2 }\times\text{ 10}\times13 \\ \text{ L.A = 2}\times130 \\ \text{ L.A = 260.0 ft}^2 \end{gathered}\)Part D
Find the area of base of the pyramid
The formula for calculating the area of the base of the pyramid is given below as
\(\text{ Base area of the pyramid = a}^2\)a = 10 ft
\(\begin{gathered} \text{ Base area of the square-base pyramid = 10}^2 \\ \text{ Base area of the square-based pyramid = 100 ft}^2 \end{gathered}\)Part E
\(\begin{gathered} \text{ Surface area = a}^2\text{ + 2al} \\ \text{ where l is the slant height and a is the base side of the pyramid} \end{gathered}\)\(\begin{gathered} \text{ Surface area of the pyramid = 10}^2\text{ + 2 }\times13\times10 \\ \text{ Surface area of the pyramid = 100 + 260} \\ \text{ Surface area of the pyramid = 360 ft}^2 \end{gathered}\)
Set up equations and solve them to find the unknown numbers in the following cases:
1. Agatha thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.
Answer:
the answer is 21
Step-by-step explanation:
the number she thinks of is 21 add 21 + 19 to get 40.
divide 40 by 5 to get 8.
Which of the following shows the correct solution steps and solution to 2×+ 7 = -11?
Answer:
x = - 9
Step-by-step explanation:
2x + 7 = - 11 ( subtract 7 from both sides )
2x = - 18 ( divide both sides by 2 )
x = - 9
The answer is:
x = -9
Work/explanation:
The point of equations is to find the variable's value by isolating it step-by-step.
For this equation, the variable is x.
To isolate it, I will perform a few operations.
First, I will subtract 7 from each side:
\(\sf{2x+7=-11}\)
\(\sf{2x=-11-7}\)
\(\sf{2x=-18}\)
Divide each side by 2
\(\sf{x=-9}\)
Hence, x = -9.
\(\rule{350}{4}\)
Geometry Support 4. Given: 6x-4 = 3x + 8. Prove: x = 4
Answer:
6(4)-4=3(4)+8
24-4=12+8
20=20
Step-by-step explanation:
To prove x=4, substitute four into the equation
6(4)-4=3(4)+8
24-4=12+8
20=20
Therefore x=4 is proved
Answer:
(Answer in Image)
Step-by-step explanation:
6x-4=3x+8
6x-4-3x=3x+8-3x subtract -3x on both sides
3x-4=8
3x-4+4=8+4 add four on both sides
3x=12 simplify
3/3x=12/3 divide both sides by 3
x=4
Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into the local swamp. Exactly four days after the assumed time of the crime, the amount of Trioxin in
the swamp was estimated at about 39.2 barrels, and exactly seven days after the crime, it was estimated at 21.5 barrels. Assume that no Trioxin was in the swamp before the crime, and that Trioxin
decays exponentially.
Construct a model that estimates the amount of Trioxin (in barrels) remaining in the swamp t days after it was dumped, then use that model to answer the following.
1) According to the model, how much Trioxin was initially dumped into the swamp?
ROUND TO ONE DECIMAL PLACE.
About barrels were initially dumped into the swamp.
2) According to the model, at what rate was the amount of Trioxin in the swamp decreasing exactly 4 days after it was dumped? ROUND TO ONE DECIMAL PLACE.
The Trioxin was decreasing at a rate of barrels per day.
3) How many days after the crime will/did it take for the amount of Trioxin in the swamp to drop to 2 barrels? ROUND TO ONE DECIMAL PLACE.
It took or will take about days.
Answer:
v(t)=39.2(215/392)^((t-4)/3); v(0) ≈ 87.3 bblv'(4) ≈ -7.8 bbl/day18.9 daysStep-by-step explanation:
You have a chemical that decayed from 39.2 barrels after 4 days to 21.5 barrels after 7 days, and you want to know the initial amount, the rate of change after 4 days, and the number of days until the amount is 2 barrels.
Exponential modelGiven two value and times (t₁, v₁) and (t₂, v₂), you can write the exponential function that models this change as ...
\(v(t)=v_1\left(\dfrac{v_2}{v_1}\right)^{\dfrac{t-t_1}{t_2-t_1}}\\\\\boxed{v(t)=39.2\left(\dfrac{215}{392}\right)^{\dfrac{t-4}{3}}}\)
1) Initial valueThe initial amount is v(0):
v(0) = 39.2(215/392)^(-4/3) ≈ 87.3
About 87.3 barrels were initially dumped in the swamp.
2) Rate of changeThe rate of change after 4 days is the value of the derivative of the function at that time.
v'(t) = 39.2(1/3)(215/392)^((t-4)/3))·ln(215/392)
v'(4) = 39.2(1/3)·ln(215/392) ≈ -7.8 . . . barrels per day
The Trioxin was decreasing at a rate of 7.8 barrels per day.
3) Time to 2 barrelsWe can solve for t:
v(t) = 2 = 39.2(215/392)^((t-4)/3)
2/39.2 = (215/392)^((t-4)/3) . . . . . . . . divide by 39.2
ln(20/392) = (t -4)/3·ln(215/392) . . . . . take logs
t -4 = 3·ln(5/98)/ln(215/392) . . . . . . . . . . divide by the coefficient of t-4
t = 4 +3·ln(5/98)/ln(215/392) ≈ 18.9
It will take about 18.9 days for the amount to drop to 2 barrels.
__
Additional comment
Often, an exponential model is of the form ...
v(t) = v₀·e^(kt)
In this form, the model is ...
v(t) = 87.314·e^(-0.20021t) ≈ 87.3e^(-0.2t)
HELP ASAP!! MARKING BRAINLIEST!!! WORTH 10 POINTS FIRST PERSON TO ANSER CORRECTLY GETS BRAINLIEST!!!!
Which of these numbers equals 30.75 -3?
A. -92.25
B. -10.25
C. 10.25
D. 92.25
Answer:
-92.25
Step-by-step explanation:
Its multiplication and the sign flips
Answer:
-92.25
Step-by-step explanation:
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Which of the following tables represents a linear function?
The required relationship shown between x and y in table 1 is a function.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variables.
Here,
The relationship shown between x and y in table 1 is a function.
To determine if the relationship between x and y is a function, we need to check if each x-value corresponds to exactly one y-value.
We can see that for each x-value, there is only one corresponding y-value:
When x = -6, y = 2
When x = -4, y = 4/3
When x = -2, y = 2/3
When x = 0, y = 0
When x = 2, y = 2/3
Each value of x corresponds to only one value of y, so the relationship is a function.
Therefore, the relationship shown between x and y in table 1 is a function.
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Marissa drew and labeled 4 triangles on grid paper as shown below. Which triangle appears to be an obtuse triangle
The triangle that must appear to be obtuse mmust have one of its angle to be greater than 90 but less than 180 degrees:
What are obtuse triangles?Obtuse triangles are triangles that has one of theor angles to greater than 90 degrees.
Most obtuse triangles has two acute angles (angles less than 90 degrees) and a obtuse angle (angles between 90 and 180 degrees)
Hence the triangle that must appear to be obtuse mmust have one of its angle to be greater than 90 but less than 180 degrees:
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What is the meaning of "the notion of finiteness"?
The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.
In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.
In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.
This concept is essential to the development of computer programs that are efficient, reliable, and secure.
In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.
In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.
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Evaluate 2/3 + 1/3 + 1/6 + … THIS IS CONTINUOUS. It is NOT as simple as 2/3 + 1/3 + 1/6.
\(a=\dfrac{2}{3}\\r=\dfrac{1}{2}\)
The sum exists if \(|r|<1\)
\(\left|\dfrac{1}{2}\right|<1\) therefore the sum exists
\(\displaystyle\\\sum_{k=0}^{\infty}ar^k=\dfrac{a}{1-r}\)
\(\dfrac{2}{3}+\dfrac{1}{3}+\dfrac{1}{6}+\ldots=\dfrac{\dfrac{2}{3}}{1-\dfrac{1}{2}}=\dfrac{\dfrac{2}{3}}{\dfrac{1}{2}}=\dfrac{2}{3}\cdot 2=\dfrac{4}{3}\)
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
Whats 12 divided 6 equal
Answer:
2 or 1/50 as a fraction
Step-by-step explanation:
Answer:
The answer is 2
Step-by-step explanation:
Given the individual rates of workers, to find the combined rate of all the individuals working together you must
the individual rates.
Fill in the blank
To find the combined rate of all the individuals working together, you must add the individual rates.
How to calculate combined rate of individuals working together?When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.
This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.
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QUESTION 1
The Product component of the 4Ps is an internal Micro force.
O
True
False
10 points
Save A
The Product component of the 4Ps is an internal Micro force is False.
The Product component of the 4Ps (Product, Price, Place, Promotion) is an external macro force that refers to the tangible and intangible aspects of a company's offering, such as quality, features, design, packaging, branding, and product variety.
It relates to how the company satisfies customers' needs and wants through its products or services.
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The vertex is (4, -1) and contains the point (2, 3)
Answer:
\(y = {(x - 4)}^{2} - 1\)
Step-by-step explanation:
\(y = a(x - h)^{2} + k\)
We know the value of h and k.
\(y = a(x - 4)^{2} - 1\)
The graph passes through (2,3). Therefore, substitute x = 2 and y = 3.
\(3 = a {(2 - 4)}^{2} - 1\)
Solve for a.
\(3 = a {( - 2)}^{2} - 1 \\ 3 = 4a - 1 \\ 3 + 1 = 4a \\ 4 = 4a \\ \frac{4}{4} = a \\ 1 = a\)
Therefore, a = 1. Rewrite the equation.
\(y = 1 {( x - 4)}^{2} - 1 \\ y = {(x - 4)}^{2} -1\)
Answer Check
Substitute x = 2 and y = 3 in the equation.
\(3 = {(2 - 4)}^{2} - 1 \\ 3 = {( - 2)}^{2} - 1 \\ 3 = 4 - 1 \\ 3 = 3\)
The equation is true for (2,3). Therefore, the answer is —
\(y = {(x - 4)}^{2} - 1\)
NO LINKS!!! URGENT HELP PLEASE!!!!
Please help me with 23 and 25
Part 2: Using the information given in each diagram below, decide if any triangles are congruent, similar but not congruent, or not similar. If you claim the triangles are congruent or similar, create a flowchart justifying your answer
Answer:
23. Similar as well as congruent triangle
25. Conguent triangle
Step-by-step explanation:
Answers:
23. Not enough information
25. Congruent (by the HL theorem)
HL = hypotenuse leg
=============================================
Explanation for problem 23.
Check out figure 1 shown below.
I have marked the given diagram with light blue and light pink to show which angles are congruent.
Because lines UN and TC are parallel, we know the following alternate interior pairs are congruent.
angle UNC = angle TCN (light blue)angle UNL = angle TCH (light pink)Therefore, we can establish one link of paired congruent angles of the triangles LNU and TCH. However, we cannot determine any other angle pairings. Why not? Because we don't know if segment UL is parallel to segment TH. If they were parallel, then we could establish something like angle LUN = angle CHT as one alternate interior pairing.
But again, we don't know if UL is parallel to TH. The arrow markers aren't shown for these segments.
Therefore, we simply don't have enough information to determine if the triangles are similar or congruent.
----------------------------------------
Explanation for problem 25.
Luckily this problem will provide sufficient info to prove the triangles KSR and ISR are congruent.
We start with the given info that KR = SI due to the identical tickmarks. This represents one node in the flowchart (see figure 2).
Another node is angle RKS = angle RIS because both are right angles, aka 90 degree angles.
A third node is SR = SR because of the reflexive property.
Those three nodes then feed into the final conclusion node that triangle KSR = triangle ISR. The reasoning is "HL theorem" where HL = hypotenuse leg. This theorem works for right triangles only.
Take note how I structured the proof so that it flows from top to bottom. The three nodes side by side are related so they share the same row.
There are many other ways to make the flowchart, so don't feel obligated to use this format. Use whatever works best for you.
i got it nevermind!!!! dont need help
The Vales of x in the equations are : 1) 3 (2) 1 (3) 5 (4) 14 (5) 10 respectively
How to solve an equation?A linear equation in one variable is that in which the highest power of its variable is 1
The given equations and their solutions are
2x +1 = 7
By collecting like terms we have
2x = 3
x = 3
2) The given equation is 4x +7 = 11
By collecting like terms we have
4x = 4
Making x the subject we have
x = 1
3) 2x -3 = 7
By collecting like terms we have
2x = 10
Making x the subject we have
x = 5
4) 1/2 x - 3 = 7
By collecting like terms we have
1/2x = 7
x= 14
5) The given equation is 3x - 11 = 19
By collecting like terms we have
3x= 30
Therefore x= 10
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The radius of the base of a cylinder is expanding at a constant rate of 3 mm/min. If the height of
the cylinder is a constant 20 mm, find the rate at which the VOLUME of the cylinder is changing at the
moment when the radius of the base of the cylinder is 10 mm. Also find the rate at which the SURFACE
AREA of the cylinder is changing at this same moment.
(V = r²h, SA=2лrh+2rr²)
I’m getting 1800pi mm^3/min for volume and 360pi mm^2/min for surface area but I’m not sure if it’s correct
The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.
To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.
Given:
Radius rate of change: dr/dt = 3 mm/min
Height: h = 20 mm
Radius: r = 10 mm
Volume of the cylinder (V) = \(r^2h\)
Differentiating with respect to time (t), we have:
dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)
Since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dV/dt = 2(10)(20)(3) + (10^2)(0)
dV/dt = 600 + 0
dV/dt = 600 mm^3/min
Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.
Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)
Differentiating with respect to time (t), we have:
dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)
Again, since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)
dSA/dt = 0 + 120π + 120π
dSA/dt = 240π mm^2/min
Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.
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Find the probability that a randomly selected point within the square falls in the red shaded square
The probability that a randomly selected point within the square falls in the red shaded square is 1/16
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.
Probability = sample space /total outcome
sample space is the area of the red shaded square and the total outcome is the big square.
Area of red shaded square = 1 × 1 = 1unit²
area of the big square = 4 × 4 = 16 units²
Therefore the probability that a point selected falls on the red shaded square
= 1/16
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What are the intercepts of the graph of
the equation 4y - x = 8
Answer:
x intercept: (-8,0)
y intercept: (0,2)
20% of what numbner is 100
Answer:
The number is 500.
Step-by-step explanation:
Let n be the number
Convert percent to decimal
20% = 0.20
0.20n = 100
Divide both sides of the equation by 0.20
0.20n/0.20 = 100/0.20
n = 500
Suppose a life insurance company sells a
$280,000
1-year term life insurance policy to a
20-year-old
female for
$270.
According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is
0.999544.
Compute and interpret the expected value of this policy to the insurance company.
Answer:
$142.32, profit on sale of the policy
Step-by-step explanation:
You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.
CostThe insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...
0.000456 × $280,000 = $127.68
ProfitThe company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...
$270 -127.68 = $142.32
The expected value of the policy to the company is $142.32.
This represents its profit from sale of the policy.
__
Additional comment
Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."
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Acellus
Find the measure of < 4.
44
158°
{
*4 = [?]
Fnter
<4=22°
Answer:
<4+158=180 co interior angle
<4=180-158=22°
Answer:
solution given:
<4+<158°=180°[co- interior angle]
<4=180°-<158°=22°
<4=22° is your answer