Mathematics College

25 yr old gets a 1 yr life insurance for $10000 at $100. Probability of death at age 25 is 0.0023 What is the company's expected gain

Answers

Answer 1

The expected gain of this company by the policy that they have here is given as $77.

How to solve the expected gain of the company

The stated probability about a person dying is given as 0.0023

This tells us that out of this 10000, the number of people that would die would be 10000*0.0023 = 23 persons

Out of these 23, each of the number that would get the $10000 form the company.

23 * 10000 = $230000

Amount of policy sold at unit price is $100 for 10000

= 100 * 10000

= $1000000

The net earning = 1000000 - 230000

= 770000

The total earning = 770000/10000

= $77

Hence the expected gain of this company is going to be $77.

Related Questions

The table below gives recommended weight ranges for the balls from five different sports. (Hint: Find the average of each weight.)

Answers

The average weights of each ball are 270 grams, 625 grams, 425 grams, 145.5 grams and 14.5 ounces

How to determine the average weights?

The range is given as:

Sport Weight range of ball used

Volleyball 260-280 grams

Basketball 600-650 grams

Water Polo 400-450 grams

Lacrosse 142-149 grams

Football 14-15 ounces

The average of each weight is calculated as:

Average = (Max + Min)/2

So, we have:

Volleyball = (260+280)/2 = 270 grams

Basketball = (600+ 650)/2 = 625 grams

Water Polo = (400+450)/2 = 425 grams

Lacrosse = (142+149)/2 = 145.5 grams

Football = (14+15)/2 = 14.5 ounces

Hence, the average weights of each ball are 270 grams, 625 grams, 425 grams, 145.5 grams and 14.5 ounces

Answers

It should be noted that the value of 597 subtracted from 884 is 287.

How to illustrate the subtraction?

The information is simply that we should subtract 884 and 597 and also illustrate it.

This will be:

884 - 597 = 287.

A word problem illustrating this is that a man had 884 pens and gave 597 pens to his friends. How many pens does he have left?

This will be:

= 884 - 597 = 287

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Geometry
Help pls list steps so I can learn :)

Answers

Answer: [tex]\frac{25\pi}{4}[/tex]

Step-by-step explanation:

The area of the entire circle is [tex]\pi(5^2)=25\pi[/tex].

The area of a quarter of the circle is thus [tex]\frac{25\pi}{4}[/tex]

PLEEEEEEEEEEASSEEEEEEE ANSWER QUESTION IS DOWN BELOW WORTH 15 POINTS each

Answers

A ratio shows us the number of times a number contains another number. The ratio of the volume of the model to the volume of the original is 27/2744.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that the scale factor is 3:14. Therefore, the ratios can be written as,

(a) The ratio of the surface area of the model to the surface area of the original is,

Surface area Ratio = (3/14)² = 9/196

(b) The ratio of the volume of the model to the volume of the original.

Volume Ratio = (3/14)³ = 27/2744

Width Ratio = 3/14

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Compare A and B in three ways, where A = 1.8 million is the 2012 population of city X and B = 2.6 million is the 2012 population of city Y.

a. Find the ratio of A to B.
b. Find the ratio of B to A.
c. Complete the sentence: A is ____ percent of B.

Answers

The following present value factors are provided for use in this problem.

Periods Present Value
of $1 at 8% Present Value of an
Annuity of $1 at 8%
1 0.9259 0.9259
2 0.8573 1.7833
3 0.7938 2.5771
4 0.7350 3.3121
Xavier Co. wants to purchase a machine for $37,500 with a four year life and a $1200 salvage value. Xavier requires an 8% return on investment. The expected year-end net cash flows are $12,500 in each of the four years. What is the machine's net present value?
$(3901).
$3901.
$4783.
$(4783).
$42,283.

Answers

The net present value of machine is $5982

What is investment?

An investment is an asset or item acquired with the goal of generating income or appreciation.

As, 4th Year Cash Flow

= Salvage Value + Expected End Year Net Cash Flow

= $1,200 + $12,500

= $13,700

Year Cash flow ($) PVF at 8% Present value ($)

0 37,500 1.000 -36,300

1 12,500 0.9259 11573.75

2 12,500 0.8573 10716.25

3 12,500 0.7938 9922.5

4 13,700 0.7350 10069.5

Net value 5982

Hence, net present value of machine is $5982

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A shape is picked at random from this group. Which theoretical probabilities are exactly 3/4?

Check all that apply.

not picking a triangle

picking a square

picking a shape with only straight edges

not picking a circle

not picking a square

Answers

Probability helps us to know the chances of an event occurring. The correct option is D, not picking a circle.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

For the theoretical probability to be 3/4, the number of desired outcomes must be 6. Therefore, let's check the number of desired outcomes,

Not picking a triangle = 4

Picking a square = 3

Picking a shape with only straight edges = 0

Not picking a circle = 6

Not picking a square = 5

Hence, the correct option is D, not picking a circle.

The group of the shape is given in the below image.

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Determine if
16
x
2
−
25
y
2
=
1
16
x
2
-
25
y
2
=
1
is a hyperbola and if it is, which type it is. The transverse axis is
what is A and B

Answers

The values of a and b are 1/4 and 1/5 respectively

How to determine the true statement?

The function is given as:

16x^2 - 25y^2 = 1

The above function is a horizontal hyperbola.

A horizontal hyperbola that passes through the origin is represented as:

[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]

Rewrite 16x^2 - 25y^2 = 1 as

[tex]\frac{x^2}{1/16} - \frac{y^2}{1/25} = 1[/tex]

By comparison, we have:

[tex]a^2 = \frac{1}{16}[/tex]

[tex]b^2 = \frac{1}{25}[/tex]

Solve for a and b

[tex]a = \frac{1}{4}[/tex]

[tex]b = \frac{1}{5}[/tex]

Hence, the values of a and b are 1/4 and 1/5 respectively

Answers

The value of line AL is 21. 51cm

How to determine the length

To find line AL,

Using

Sin α = opposite/ hypotenuse to find line AB

Sin 90 = x/ 24

1 = x/24

Cross multiply

x = 24cm

Now, let's find line AC

Sin angle B = line AC/24

Note that to find angle B

angle A + angle B + angle C = 180

But angle B = 2 Angle A

x + 2x + 90 = 180

3x + 90 = 180

3x = 180-90

x = 30°

Angle B = 2 × 30 = 60°

Sin 60 = x/ 24

0. 8660 = x/24

Cross multiply

x = 24 × 0. 8660

x = 20. 78cm

We have the angle of A in the given triangle to be divide into two by the bisector, angle A = 15°

To find line AL, we use

Cos = adjacent/ line AL

Cos 15 = 20. 78/ line AL

Line AL = 20. 78/ cos 15

Line AL = 20. 78 / 0. 9659

Line AL = 21. 51 cm

Thus, the value of line AL is 21. 51cm

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On a number line 1.77 would be located.

Answers

On a number line 1.77 would be located between 1 and 2 but it would be closer to 2 than 1.

Where would 1.77 be located?

A number line is used to show the positioning of numbers. 1.77 is between 1 and 2. So, it would be located between 1 and 2 on the number line. Because 1.77 can be rounded off to 2, it would be closer to 2.

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In the coin flipping lab, suppose that you simulated the flipping of a weighted coin 30 times and got 5 heads and 25 tails. What is your estimated probability for P(H)?

Answers

Answer:

1/6

Step-by-step explanation:

Out of 30 tosses, 5 come up heads. So the estimated probability of heads is 5/30, or 1/6.

Answer: 0.17

Step-by-step explanation:

just got it right on quiz

HELP ASAP!!!!GIVING BRAINLIEST!!!!!!
If f(x)=2x^2+2 and g(x)=x^2-1, find (f-g)(x).

Answers

Answer: B. x^2 + 3

Step-by-step explanation:

2x^2 + 2 -(x^2 - 1)

2x^2 + 2 - x^2 + 1

x^2 + 3

If f (x) = 2x ^ 2 + 2
Answer is B
x2 + 3

And a certain watery an urn contains balls number 1 to 34 from this are in five balls are chosen randomly without replacement for a one dollar bed a player chooses one set of phone numbers to Wayne all five numbers match match those shows it from the urn the order in which the balls or select it doesn’t matter what is the probability of winning the lottery with one ticket

Answers

The probability of winning the lottery with one ticket is mathematically given as

P(W)=2.99484408*10^{−8}

What is the probability of winning the lottery with one ticket?

Generally, the equation for the probability is mathematically given as

P(1st ball)=1/34

one ball drawn remain

34-1=33

P(2nd ball)=1/33

In conclusion, the probability of winning the lottery with one ticket is

P(W)=1/34*1/33*1/32*1/31*1/30

P(W)=2.99484408*10^{−8}

Answers

Answer:

x = 3

Explanation:

[tex]\sf Given \ equation: \ log_{10} (1000) = x[/tex]

Solving steps:

[tex]\rightarrow \sf log_{10} (1000) = x[/tex]

apply rule: logₐ(b) = c then b = aᶜ

[tex]\rightarrow \sf 1000 = 10^x[/tex]

rewrite following

[tex]\rightarrow \sf 10^3= 10^x[/tex]

cancel out bases

[tex]\rightarrow \sf x = 3[/tex]

Answer:

d.) x = 3

Step-by-step explanation:

you simply need to know 10 to power of how many makes 1000 , In case didn't know you can replace the value of x with the given options and see if it can be solved or not .

Which expression is equivalent to the following complex fraction?
-2/x + 5/y / 3/y - 2/x

Answers

Answer: [tex]\frac{5x-2y}{3x-2y}[/tex]

Step-by-step explanation:

[tex]\frac{-\frac{2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}[/tex]
Multiplying the numerator and denominator by xy,

[tex]=\frac{-2y+5x}{3x-2y}\\\\=\frac{5x-2y}{3x-2y}[/tex]

In a random sample of 1214 eligible voters younger than 40 years old, 461 reported that they planned to vote in the upcoming election. In a random sample of 1098 voters 40 and older,560 reported that they planned to vote in the election. Construct a 90% confidence interval for the difference between the percent of all voters younger than 40 and 40 and older who plan to vote in the upcoming election. What critical z-score will be used

Answers

Using the z-distribution, with a critical z-score of z = 1.645, the 90% confidence interval is (-16.4%, -9.66%).

What are the mean and the standard error for the distribution of the difference of proportions?

For each sample, the mean and the standard error are given as follows:

[tex]p_y = \frac{461}{1214} = 0.3797, s_y = \sqrt{\frac{0.3797(0.6203)}{1214}} = 0.0139[/tex].[tex]p_o = \frac{560}{1098} = 0.51, s_o = \sqrt{\frac{0.51(0.49)}{1098}} = 0.0151[/tex].

Hence, for the distribution of differences, they are given as follows:

[tex]p = p_y - p_0 = 0.3797 - 0.51 = -0.1303[/tex].[tex]s = \sqrt{s_y^2 + s_o^2} = \sqrt{0.0139^2 + 0.0151^2} = 0.0205[/tex]

What is the confidence interval?

The interval is:

[tex]p \pm zs[/tex]

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

Then the bounds of the interval are:

p - zs = -0.1303 - 1.645(0.0205) = -0.164.p + zs = -0.1303 + 1.645(0.0205) = -0.0966.

As a percentage, the 90% confidence interval is (-16.4%, -9.66%).

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Question
Determine an angle between 0° and 360° that is coterminal to an angle with measure of 1524°.
Enter your answer below without a degrees symbol - just enter the numeric answer.

Answers

Answer: 84°

Step-by-step explanation:

On a unit circle, coterminal angles are angles that are in the opposite position of the asked angle. 1524° revolves around 127/15π times across the entire unit circle.

84° is the only positive coterminal angle between 0 and 360 that is in the opposite position of 1524°.

Keep in mind, that there are more coterminal angles, namely 444°, 804°, 1164°, and 1524° itself, but they are outside of the range of 0 and 360 degrees.

Which of the following are solutions to the equation below?
Check all that apply.
9x² - 6x + 1 =7
O A. x= 2√2
B. x = -√7+1
3
☐ C. X=
□ D. X=
√√7+1
3
+1
□ E. x = 2√2
3
O F. X= -√2+1

Answers

Answer: C and B

Step-by-step explanation:

[tex]9x^2 - 6x+1=7\\\\9x^2 - 6x-6=0\\\\x=\frac{-(-6) \pm \sqrt{(-6)^2 - 4(9)(-6)}}{2(9)}\\\\x=\frac{6 \pm \sqrt{252}}{18}\\\\x=\frac{1 \pm \sqrt{7}}{3}[/tex]

In a relatively pointless survey, the following data was collected on cars in a Costco parking lot: there were 94 white cars; 44 purple cars; 41 dark gray cars; 27 light blue cars; 46 green cars; 19 cars of some other color.

If you were to construct a Pareto chart (using the rule suggested in the book), how would the second bar in the graph be labeled?

color =

Answers

If I am to to construct a Pareto chart based on the rule of the chart, the second bar color in the graph be labeled light blue.

What is a Pareto chart?

A Pareto chart is known to be a form of a bar graph.

It is made up of different lengths of bars that stands for frequency or cost ( e.g. time or money, and are said to be placed with longest bars on the left and then the shortest are placed to the right.

Since there are 27 light blue cars and this is the first one among the shortest, one can make it to be in the second bar and as such, If I am to to construct a Pareto chart based on the rule of the chart, the second bar color in the graph be labeled light blue.

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On July 1, 20x5, Augusta Enterprises issued bonds with a face value of $1,000,000. The bonds carry a face interest rate of 10 percent that is payable each July 1 and January 1.

a. Prepare the entry in journal form without explanation for the issuance assuming the bonds are issued at 97.
b. Prepare the entry in journal form without explanation for the issuance assuming the bonds are issued at 102.

Answers

Based on the price that Augusta Enterprises issued the bonds, the journal entries would be:

Date Account title Debit Credit

July 1, 20x5 Cash $97,000

Discount on Bonds payable $3,000

Bonds payable $1,000,000

Date Account title Debit Credit

July 1, 20x5 Cash $1,020,000

Premium on Bonds payable $20,000

Bonds payable $1,000,000

How are bonds recorded at premium and discount?

The cash received from the discounted bond is:

= 1,000,000 x 97%

= $970,000

The cash received from the premium bond is:

= 1,000,000 x 102/100

= $1,020,000

The premium is:

= 1,020,000 - 1,000,000

= $20,000

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Find the measure of the angle indicated in bold

Answers

The measure of the angles in bold are as follows;

25. 90° and 90°

26. 60° and 60°

How to find angles?

When two parallel lines are cut by a transversal , angle relationship are formed. They are alternate angles, corresponding angles etc.

Therefore,

x + 96 + x + 96 = 180

2x = 180 - 192

2x = -12

x = -6

Hence, the angles are 90 and 90 degrees.

6x = 5x + 10(corresponding angles)

6x - 5x = 10

x = 10

Therefore, the angles are 60 degrees and 60 degrees

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QUESTION IS DOWN BELOW 30 points for answer

Answers

Answer: a) 25:16 and b) 125:64

Step-by-step explanation:

For simplicity, assume that two spheres have diameters of 5 and 4.

a) 4pi(5^2) and 4pi(4^2)

= 100pi:64pi

= 100:64

= 25:16

b. 4/3 pi(5^3) and 4/3 pi(4^3)

= 166.67pi and 85.33pi

= 500:256

= 125:64

what’s the answer to 3\4(8x + 12) = 3

Answers

Answer:

x = - 1

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] (8x + 12) = 3 ( multiply both sides by 4 to clear the fraction )

3(8x + 12) = 12 ( divide both sides by 3 )

8x + 12 = 4 ( subtract 12 from both sides )

8x = - 8 ( divide both sides by 8 )

x = - 1

if you are looking for the x value this is the answerx = -1

Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is
summarized in the histogram below.

What is the sample size for this data set?

Answers

Answer: 43

Explanation:

Add up the heights of each bar to get the sample size.

4+4+7+12+11+4+1 = 43

Bailey was practicing karate and kicked the target 6 out of 20 times. Express the number of times she kicked the target as a fraction of the total number of kicks , and reduce the fraction to the lowest terms.

Answers

Answer:

ok so here we know that Baily kicked the target 6 times out of 20 that is 6/20 and then you just reduce the fraction dividing it by 2 so it will be 3/10

Step-by-step explanation:

hope it helps :)

please help me asap thank you so so so much u are the most amazing

Answers

The smallest angle would be 19 degrees. So option D is correct.

What is the sum of the octagon?

The sum of exterior angles of the regular octagon is 360 degrees.

Given;

The angles

x + 13 + 2x - 1 + 2x + 6 + 2x + 12 + 2x - 17 + 3x - 4 + 3x - 10 + 4x = 360

19x - 1 = 360

19x = 359

x = 18.89

The smallest angle would be

2x - 17 = 2(18.89) - 17 = 19

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Which of the following is equal to the rational expressions when x=2or1? (X-1)/(x+5)/(x-2)/(x-1)

Answers

Answer:

(x-2)/(x-1)

Step-by-step explanation:

(x-2)/(x-1)

The function g(x) = p sin x +q, where p>0, has a maximum value of 10 and a minimum value of -4. Find the value of p and of q.

Answers

Answer: [tex]p=7, q=3[/tex]

Step-by-step explanation:

The midline of the function is

[tex]\frac{10-4}{2}=3 \implies q=3[/tex]

This means that to obtain a maximum of 10, when [tex]\sin x[/tex] reaches it's maximum, 1, [tex]g(x)=p+q=10 \implies p=7[/tex]

Draw u – v + w. please help !!!!!!!!!!

Answers

Here, we have to perform a sum of vectors and draw the resultant vector and the resultant vector will be <4, 0>.

How to illustrate the vector?

If we see the image, we can write the vectors as:

w = <3, 3>

u = <-3, -4>

v = <-4, -1>

Now we want to sum:

u - v + w

= <-3, -4> - <-4, -1> + <3, 3>

= <-3 + 4 + 3, -4 + 1 + 3>

= <4, 0>

The graph of the resultant vector can be seen below.

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Which amount of time is greater for the average person? The total time spent on his/her cell phone in a year’s time, or the total time spent waiting in line when shopping in a lifetime?

Consider it to be 2 separate problems and arrive at your conclusion.

You need to make assumptions, conversions, and math calculations to arrive at your answer. If you choose to research data for this project, that is fine but there is no need to site your references.

Answers

The total time spent on his/her cell phone in a year’s time is less than the total time spent waiting in line when shopping in a lifetime.

x= 1825 hrs

z=4929.4 hrs.

This is further explained below.

Which amount of time is greater for the average person?

let's say on average a person spends 5 hours on a mobile phone.

Individual annual mobile phone use time.

x= 5x365

x= 1825 hrs

let's consider an average every day a person, spent 5 minutes in the queue when shopping.

Take the average person. 70-year life for a person.

Hence in a year, he spent

y=365x5 mints

y=1825 min

y=30.42 hrs

Hence lifetime time spent on line

z = 70 x 30.42

z=4929.4 hrs.

In conclusion, we estimate that the typical individual will spend z=4929.4 hours waiting in line for merchandise throughout the course of their lifetime.

z=4929.4 hrs.