Find the distance between the two points rounding to the nearest tenth (if necessary),
(5,-4) and (0,8)

a. Surviving the year: $197; Not surviving the year: $100,000

b. Expected value: $306.78

c. The insurance company can expect to make $86.49 in profit per policy.

We have,

a.

From the perspective of the 29-year-old male:

Surviving the year:

The monetary value is the cost of the insurance premium, which is $197.

Not surviving the year:

The monetary value is the death benefit paid out by the policy, which is $100,000.

b.

To calculate the expected value for the 29-year-old male, multiply the probability of each event by its corresponding monetary value and sum them up:

Expected Value = (Probability of Surviving * Monetary Value of Surviving) + (Probability of Not Surviving * Monetary Value of Not Surviving)

= (0.9989 * $197) + (0.0011 * $100,000)

= $306.78

c.

Expected Premium Revenue

= Probability of Surviving * Premium Amount

= 0.9989 * $197

≈ $196.49

Expected Payout

= Probability of Not Surviving * Death Benefit

= 0.0011 * $100,000

≈ $110

Profitability

= Expected Premium Revenue - Expected Payout

= $196.49 - $110

≈ $86.49

Since the expected premium revenue exceeds the expected payout, the insurance company can expect to make a profit from many such policies.

In this scenario, the insurance company can expect to make $86.49 in profit per policy.

Therefore,

a. Surviving the year: $197; Not surviving the year: $100,000

b. Expected value: $306.78

c. The insurance company can expect to make $86.49 in profit per policy.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ4

a. From the perspective of the 29-year-old male:

Surviving the year: The cost of insurance is $197.

Not surviving the year: The policy pays out a death benefit of $100,000.

b. The 29-year-old male's expected value is -$86.8013, indicating a potential loss.

c. Yes, the insurance company can expect to make a profit. The expected value is negative, meaning the company collects more in premiums than it pays out on average.

a. From the perspective of the 29-year-old male:

Surviving the year: The cost of insuring that the male will live through the year is $197.

Not surviving the year: The policy pays out a death benefit of $100,000.

b. To calculate the expected value for the 29-year-old male, we need to consider the probabilities of each event and their corresponding monetary values.

Expected Value = (Probability of surviving * Monetary value of surviving) + (Probability of not surviving * Monetary value of not surviving)

Probability of surviving = 0.9989

Monetary value of surviving = -$197 (since this represents the cost of insurance)

Probability of not surviving = 1 - Probability of surviving = 1 - 0.9989 = 0.0011

Monetary value of not surviving = $100,000

Expected Value = (0.9989 * -$197) + (0.0011 * $100,000)

Expected Value = -$196.8013 + $110

Expected Value = -$86.8013

Therefore, the expected value for the 29-year-old male is approximately -$86.8013.

c. The insurance company can expect to make a profit from many such policies because the expected value is negative (-$86.8013). The cost of insuring the male is $197, but the expected value is significantly less. This means that on average, the insurance company will collect more in premiums than it pays out in claims, resulting in a profit. The small probability of not surviving the year and the high payout of $100,000 contribute to the insurance company's ability to make a profit by spreading the risk among many policyholders.

for such more question on expected value

https://brainly.com/question/24305645

#SPJ8

The book value of the automobile at the end of 3 years is $13,000.

The straight-line method is method of depreciation that allocates the same depreciation expense each year.

Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

($32,500 - 0) / 5 = $6,500

Total depreciation in 3 years = $6,500 x 3 = $19,500

Book value = cost of the automobile - total depreciation

$32,500 - $19,500 = $13,000

To learn more about straight line depreciation, please check: https://brainly.com/question/6982430

#SPJ1

there is no table to get our answers off of.

Step-by-step explanation:

Answer:

see step by

Step-by-step explanation:

a) the polynomial must be fifth degree, so it must have a \(x^5\) term, also need to have 2 additional terms (Lets add any, lets say \(x^2+8\) (notice this is totally random, just need to be under 5th degree)

So a polynomial can be

\(x^5+x^2+8\)
notice is in standard form since degrees drops from left to right.
Also notice there's an infinite amount of possible answers

b) p-q is the same as -q+p
For example, lets say

\(p=x+1\)

\(q=3x^2-5\)
\(p-q=x+1-(3x^2-5)=x+1-3x^2+5=-3x^2+x+6\)

also

\(-q+p=-(3x^2-5)+x+1=-3x^2+5+x+1=-3x^2+x+6\)

notice is the same expression.

Answer:

25

Step-by-step explanation:

'. a=3

b=8

c =2

d=5

so

3^2+3(8)+2-2(5).

9+24+2-10

=25

Answer:

it would be around 3 i think

Step-by-step explanation:

The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Learn more about the pattern here:

https://brainly.com/question/23136125.

#SPJ1

Answer:

Step-by-step explanation:

Its 4.51

Answer:

length = 20 cm

height = 15 cm

Step-by-step explanation:

Large Toy Box

Given:

Therefore, to calculate the length and height of the small toy box, multiply the length and height of the large toy box by one sixth:

\(\sf length=120 \times \dfrac16=\dfrac{120 \times 1}{6}=\dfrac{120}{6}=20 \ cm\)

\(\sf height=90 \times \dfrac16=\dfrac{90 \times 1}{6}=\dfrac{90}{6}=15 \ cm\)

Therefore,

Answer:

length = 20 cm , height = 15 cm

Step-by-step explanation:

calculate \(\frac{1}{6}\) of the dimensions by dividing the large box dimensions by 6

length of small box = 120 cm ÷ 6 = 20 cm

height of small box = 90 ÷ 6 = 15 cm

The x- intercept of the equation is (13,0) and y-intercept of the equation is (0,-39/8) when the equation is 3x-8y=39.

Given that,

The equation is 3x-8y=39.

We have to find the x- intercept and y- intercept of the equation.

We know that,

x/a + y/b = 1 is the intercept form of the line's equation. One of the key types of line equations is this one. In this equation, the sign of the intercepts also enables us to determine where the line is in relation to the coordinate axes.

To find the x- intercept of the equation.

We have to take y as 0.

3x-8(0)=39

3x=39

x=39/3

x=13

To find the y- intercept of the equation.

We have to take x as 0.

3(0)-8y=39

-8y=39

x=-39/8

Therefore, The x- intercept of the equation is (13,0) and y-intercept of the equation is (0,-39/8) when the equation is 3x-8y=39.

To learn more about intercept visit: https://brainly.com/question/14180189

#SPJ1

Answer: Step-by-step explanation:

To find the average rate of change of a function over an interval, we can use the following formula:

average rate of change = (y2 - y1)/(x2 - x1)

Where x1 and x2 are the values of x at the beginning and end of the interval, and y1 and y2 are the corresponding values of the function at those points.

In this case, we are asked to compare the average rate of change of the functions g(x) and f(x) over the interval where -1≤x≤3.

For the function g(x) = x²+6x, we can plug in the given values for x1, x2, y1, and y2 to find the average rate of change:

average rate of change = (g(3) - g(-1))/(3 - (-1))

= (9 + 18 - (1 - 6))/(4)

= 27/4

= 6.75

For the function f(x) = 2, we can plug in the given values for x1, x2, y1, and y2 to find the average rate of change:

average rate of change = (f(3) - f(-1))/(3 - (-1))

= (2 - 2)/(4)

= 0

Since the average rate of change of the function g(x) is greater than the average rate of change of the function f(x), the function g(x) has a greater average rate of change over the interval where -1≤x≤3.

I hope this helps clarify the comparison of the average rate of change for these two functions. Do you have any other questions?

Answer:

mn  + pq = mq+pnnq

Show that mq, pn, and nq are all integers.

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

mn + pq = mq+pnnq

Show that mq, pn, and nq are all integers.

a) The probability that at least one of the two young adults selected is living in his or her parent’s home is; 0.74.

b) The probability both young adults selected are living on their own is; 0.26

We are given the events as;

M = the event a male young adult is living in his parent’ home

F = the event a female young adult is living in her parent’ home

We are also given that;

Probability that a male young adult is living in his parent’ home; P(M) = 0.56

Probability that a female young adult is living in her parent’ home; P(F) = 0.42

a) The probability that at least one of the two young adults selected is living in his or her parent’ home is;

P(at least one of the two young adults selected is living in his or her parents home) = P(M or F) = P(M) + P(F) - P(M and F)

= 0.56 + 0.42 - 0.24 = 0.74.

B) The probability both young adults selected are living on their own which means neither is living with their parents is;

P(neither living with parents) = 1 - P(M or F)

= 1 - 0.74 = 0.26.

Read more about Conditional Probability at; https://brainly.com/question/23382435

#SPJ1

Answer:

are you a real girl that's question

Answer:

C: Sampson did not change the direction of the inequality symbol after multiplying both sides of the inequality by a negative number.

-3 + 3 is zero but Sampson take it as (-3) which is wrong

Answer: Choice C

Sampson did not change the direction of the inequality symbol after multiplying both sides of the inequality by a negative number.

In short, the inequality sign must flip when we multiply both sides by a negative number.

After solving for x, the result should be x > -22.5

Answer:

The value is  \(P( \= X \ge 99) = 0.69146\)

Step-by-step explanation:

From the question we are told that

    The  mean is  \(\mu = 100\)

     The standard deviation is  \(\sigma = 10\)

       The  sample size is  n  =  25

The standard deviation of the sampling distribution is  

        \(\sigma_{\= x} = \frac{\sigma}{\sqrt{n} }\)

=>      \(\sigma_{\= x} = \frac{10}{\sqrt{25} }\)

=>      \(\sigma_{\= x} = \frac{10}{5 }\)

=>      \(\sigma_{\= x} = 2\)

Generally the probability of randomly sampling and finding a sample mean of 99 or more is mathematically represented as

        \(P( \= X \ge 99) = 1 - P(\= X < 99)\)

Here  

       \(P(\= X < 99) = P(\frac{\= X - \mu }{\sigma } < \frac{99 - 100 }{2} )\)

\(\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )\)

=>     \(P(\= X < 99) = P(Z < -0.5 )\)

From the z table probability of  (Z <  -0.5  ) is  

     \(P(Z < -0.5 ) = 0.30854\)

Generally  

      \(P( \= X \ge 99) = 1 - 0.30854\)

=>    \(P( \= X \ge 99) = 0.69146\)

f(0) is equal to 4 in this graph.

You probably have seen the equation \(y=mx+b\) at some point. f(x) is another way to express y. Essentially, f(x) represents the output you will get from an equation when a number equals x.

In this case, the input is 0, hence why it is notated as f(0). When x is at 0, y is at a value of 4. To further illustrate, f(3) is equal to 3, as with an input (x) of 3, the y value sits at 3, which means the output is 3.

Answer:

BC = 6.8

Step-by-step explanation:

The distance from A to B, then from B to C, is the same distance as from A to C.

Thus,

AB + BC = AC

AB = 8x + 8

BC = 4x + 2

AC = 22

AB + BC = AC

(8x + 8) + (4x + 2) = 22

Expanding the parenthesis:

8x + 8 + 4x + 2 = 22

8x + 4x + 8 + 2 = 22

12x + 12 = 22

Subtracting 12 from both sides:

12x = 10

Dividing both sides by 12:

x = 10/12 = 1.2

x = 1.2

We're looking for BC. As we know,

BC = 4x + 2

Let's now put in x = 1.2 into this equation:

BC = 4x + 2

BC = 4 * 1.2 + 2

Since 4 * 1.2 is 4.8:

BC = 4.8 + 2

BC = 6.8

Answer: BC = 6.8

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

To know more about unitary method  visit:

brainly.com/question/28276953

#SPJ1  

Answer:

8RST. That is, N has thousands digit 8, hundreds digit R, tens digits S, and ones

(units) digit T, which means that N = 8000 + 100R + 10S + T. Suppose that the

following conditions are all true:

• The two-digit integer 8R is divisible by 3.

• The three-digit integer 8RS is divisible by 4.

The four-digit integer 8RST is divisible by 5.

The digits of N are not necessarily all different.

The number of possible values for the integer N is

(A) 8

(B) 16

(C) 12

(D) 10

87

(E) 14

Since 8R is divisible by 3, R must be a multiple of 3. The possible values for R are 3, 6, and 9.

Since 8RS is divisible by 4, S must be a multiple of 2. The possible values for S are 0, 2, 4, 6, and 8.

Since 8RST is divisible by 5, T must be 0 or 5.

The possible values for N are therefore:

8000 + 300 + 00 + 0 = 8300

8000 + 600 + 00 + 0 = 8600

8000 + 900 + 00 + 0 = 8900

8000 + 300 + 20 + 0 = 8320

8000 + 600 + 20 + 0 = 8620

8000 + 900 + 20 + 0 = 8920

8000 + 300 + 40 + 0 = 8340

8000 + 600 + 40 + 0 = 8640

8000 + 900 + 40 + 0 = 8940

8000 + 300 + 60 + 0 = 8360

8000 + 600 + 60 + 0 = 8660

8000 + 900 + 60 + 0 = 8960

8000 + 300 + 80 + 0 = 8380

8000 + 600 + 80 + 0 = 8680

8000 + 900 + 80 + 0 = 8980

8000 + 300 + 00 + 5 = 8305

8000 + 600 + 00 + 5 = 8605

8000 + 900 + 00 + 5 = 8905

8000 + 300 + 20 + 5 = 8325

8000 + 600 + 20 + 5 = 8625

8000 + 900 + 20 + 5 = 8925

8000 + 300 + 40 + 5 = 8345

8000 + 600 + 40 + 5 = 8645

8000 + 900 + 40 + 5 = 8945

8000 + 300 + 60 + 5 = 8365

8000 + 600 + 60 + 5 = 8665

8000 + 900 + 60 + 5 = 8965

8000 + 300 + 80 + 5 = 8385

8000 + 600 + 80 + 5 = 8685

8000 + 900 + 80 + 5 = 8985

There are a total of 30 possible values for N. The answer is therefore (E) 14.

Step-by-step explanation:

Answer:

The letter choice that is accurate is A.

The higher R-squared value of the multiple regression model with the higher order independent variable implies that the linear model is not the best fit and that a more complex model is needed to better explain the data

1. Multiple regression models involve fitting a model that includes one or more independent variables to predict a dependent variable.

2.A value of X to a higher power, such as X squared, for an independent variable in a multiple regression model indicates that the relationship between the independent and dependent variables is not linear.

3. If this model produces a higher value of R-squared than a linear model, it means that it is a better fit for the data.

4. However, it does not necessarily imply that the linear model's residual plot is not randomly distributed around the zero line.

Learn more about variable here

brainly.com/question/29583350

#SPJ4

Answer:

-1

Step-by-step explanation:

Answer:-2

Step-by-step explanation:

The measure of the angle of the straight line is equal to 180 degrees. the measure of the ∠HLI and ∠ILM is equal to the which is 30 degrees. Thus option 4 is the correct option.

An endlessly long row of evenly spaced dots that spans in both directions makes up a line. Its length is the only dimension it has. A geometry called an angle is created when two line segments, lines, or rays intersect.

Given information-

The measure of the angle KLH is 120 degrees.

The image is attached below for the given problem.

The angle of the straight line

The measure of the angle of the straight line is equal to 180 degrees.

The line KLM is a straight line thus the angle of the line KLM is equal to 180 degrees.

The value of the angle ILH is 30 degrees given in the figure.

The value of the angle KLH is given in the question which is equal to 120 degrees. Thus,

∠KLM = ∠ILM + ∠KLH + ∠ILH

Take the angle KLH and the angle ILH on the other side,

∠ILM = ∠KLM - ∠KLH - ∠ILH

∠ILM = 180 - 120 - 30

∠ILM = 30

Thus the measure of the is 30 degrees.

As the measure of the is equal to the which is 30 degrees. Thus option 4 is the correct option.

Learn more about the angle of the straight line here;

brainly.com/question/24024505

#SPJ1

Answer:

d. mAngleHLI = mAngleILM

Step-by-step explanation:

trust