You take out a fire insurance policy on your home. The annual premium is $300. In case of fire, the insurance company will pay you $100,000. The probability of a house fire in your
area is 0.0002. What can the company expect to earn?
$300 is expected to be paid to the insurance company each month for coverage.
What is insurance?Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to hedge against the risk of a contingent or uncertain loss.
here, we have,
Deductible is the set amount that one pays himself at the time of claiming insurance. Like here, if $500 is deductible, that means when the person will claim the insurance, he himself will pay $500 ,and the rest insured amount will be paid by the company.
So, here $300 is the monthly premium and $500 deductible is the one time set amount that does not have to be paid monthly.
Hence, $300 is the correct answer.
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Answer: 279.94
Step-by-step explanation:
Expected value =
(0.0002)(-100,000) + (0.9998) (300)
1-.0002 = 0.9998
= .279.94
Part 1 ITEMS Cameras Towels Microwaves Books TOTAL SALES $357,000 $112,500 ? $183,750 Nick's Department Store sold 75 of the sale towels. How much did each towel cost?
The selling price of each unit of towel is $1500
What is selling priceSelling price is the price at which a product or service is sold to a customer or consumer. It is the amount that a customer pays for the product or service, which includes both the cost of the item and any markup or profit that the seller may add.
In the question given, the total sales of towels is given as $112,500
If they sale 75 towels, the cost of each towel is;
cost = 112500 / 75
cost = $1500
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Its in the form of a picture
The equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.
What is the slope-intercept form?
The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
Two lines are parallel if they have the same slope. The given line y = 3x - 5 is in slope-intercept form, which means its slope is 3.
A line in slope-intercept form has the equation y = mx + b, where m is the slope and b is the y-intercept. Therefore, any line of the form y = 3x + c, where c is a constant, will have a slope of 3 and be parallel to the given line.
Let's check each of the given equations to see which ones are of this form:
A. y = 3x - 7: This equation has the same slope as the given line, but it is not in the form y = 3x + c. Therefore, it is not parallel to the given line.
B. y = -3x - 5: This equation has a slope of -3, which is not the same as the slope of the given line. Therefore, it is not parallel to the given line.
C. 6x + 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:
2y = -6x - 4
y = -3x - 2
This equation has the same slope as the given line, so it is parallel to the given line.
D. 6x - 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:
-2y = -6x - 4
y = 3x + 2
This equation has the same slope as the given line, so it is also parallel to the given line.
Therefore, the equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.
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the tiles to the correct boxes to complete the pairs.
Match each power of i to its equivalent expression.
Tiles
1
Pairs
181
¡52
199
¡66
-1
11
-1
Step-by-step explanation:
just keep in mind :
i = sqrt(-1)
that is all we need to know.
from there we know the forever repeating group of 4 "power of i" values :
i¹ = i
i² = sqrt(-1)² = -1
i³ = i²×i = -1×i = -i
i⁴ = i²×i² = -1×-1 = 1
and this repeats now over and over again with the following powers :
i⁵ = i⁴×i = 1×i = i
i⁶ = i⁴×i² = 1×-1 = -1
i⁷ = i⁴×i³ = 1×-i = -i
i⁸ = i⁴×i⁴ = 1×1 = 1
and so on and so on ...
so,
i⁸¹ = i⁸⁰×i = (i⁴)²⁰×i = 1²⁰×i = 1×i = i
i⁵² = (i⁴)¹³ = 1¹³ = 1
i⁹⁹ = i⁹⁶×i³ = (i⁴)²⁴×i³ = 1²⁴×-i = 1×-i = -i
i⁶⁶ = i⁶⁴×i² = (i⁴)¹⁶×i² = 1¹⁶×-1 = 1×-1 = -1
for such questions always look for the modulo (remainder) result when dividing the exponent by 4. and then use the first list or table above.
In the figure below, m/WXY = 64°, m/XYW = 67°, and m/WZV = 77º.
What is m/ZVW?
OA. 67°
OB. 54°
OC. 77°
OD. 44°
Z
W
Note picture not drawn to scale
A student rides her bicycle down a hill. Together, she and the bicycle have a mass of 56 kilograms. She is moving at 11 meters
per second. What is her kinetic energy? (1 point)
*13,552 J
*6,776 J
*3,388 J
*17,248 J
The value of her kinetic energy is,
Kinetic energy = 3,388 J
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
A student rides her bicycle down a hill. Together, she and the bicycle have a mass of 56 kilograms.
And, She is moving at 11 meters per second.
We know that;
Kinetic energy = 1/2 (mv²)
Where, m is mass and v is velocity.
Substitute all the values , we get;
Kinetic energy = 1/2 (mv²)
Kinetic energy = 1/2 (56 × 11²)
Kinetic energy = 1/2 × 56 × 121
Kinetic energy = 3,388 J
Thus, The value of her kinetic energy is,
Kinetic energy = 3,388 J
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How many days is 52 weeks a year?
There are 364 days in 52 weeks.
A day is an approximate time it takes for the Earth to complete one spin.
It is defined as exactly 86,400 seconds.
In one week there are 7 days.
There are 52 weeks in a year.
To find out how many days in 52 weeks,
To get the number of days in a given week we have to multiply weeks by the days in a week.
As we know that, 7 days means a one week,
We can calculate the number of days in 52 weeks by multiplying 52 weeks by 7 days:
52 x 7 = 364 days
Therefore, there are 364 days in 52 weeks.
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Sergio had $500.00 saved for a family trip. Six weeks later he had saved $860.00. At what rate of change did Sergio savings grow
Answer:
1% of $500 = $5
Total Saving from $500 to $ 860
[tex] = \frac{860}{5} = 172 \\ [/tex]
Now percentage of growth :-
[tex] \frac{172}{500} \times 100 \\ \\ \frac{17200}{500 } = 34.4[/tex]
Hence, the rate of change Sergio savings = 34.4%
Find g.
60°
6 km
9
30°
Write your answer in simplest radical form.
kilometers
Answer:
4√3 or 6.9282Km
Step-by-step explanation:
Let the triangle be ABC, right angled at B
Angle A = 60 degrees
Angle C = 30 degrees
BC = 6 km
To find AB,
Tan30°=AB/BC
Now we know that tan30° is 1/√3 so,
1/√3 = AB / 6
6/√3 = AB
6√3/3 =AB
2√3 = AB
Now we have the value of two sides so we can use the Pythagoras Theorem to find the hypotenuse, which is g
AB² + BC² = AC²
(2√3)² + 6² = g²
12 + 36 = g²
48 = g²
Therefore g = √48km or 4√3km or 6.9282Km
Solve the system of linear equations by substitution.
6x-9=y
y=-3x
The solution to the system of linear equation by substitution method is as follows : x = 1 and y = -3
6x − 9 = y
y = −3x
let's substitute the value of y in the first equation as follows;
6x - 9 = -3x
add -3x to both sides of the equation
6x + 3x - 9 = -3x + 3x
9x - 9 = 0
add 9 to both sides of the equation
9x - 9 + 9 = 0 + 9
9x = 9
divide both sides by 9
x = 9 / 9
x = 1
let's find y by substituting the value of x in the second equation
y = -3x
y = -3(1)
y = -3
Therefore, x = 1 and y = -3
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How to calculate corporate governance
Answer:
Focus on strategic measures.
Develop performance measurement skills.
Get board and CEO buy-in.
Track progress over time.
Measure often.
Step-by-step explanation:
VEmily uses 1 2 3 cups of sugar and 3 1 4 cups flour to make muffins. She says she has 1 2 3 more cups of flour than sugar. Do you agree? Explain. A. Yes; 3 1 4 − 1 2 3 = 1 2 3. B. No; the difference between 3 1 4 and 1 2 3 is 1 1 2 , not 1 2 3. C. No; the difference between 3 1 4 and 1 2 3 is 1 7 12 , not 1 2 3. D. No; the sum of 3 1 4 and 1 2 3 is 4 11 12 , not 1 2 3
Option C is the correct answer, as it states that the difference between 3 1 4 and 1 2 3 is 1 7 12The question is asking if Emily has 123 more cups of flour than sugar.
To check if this is true, we can subtract the amount of sugar from the amount of flour, and see if the difference is equal to 123.
Emily uses 1 2 3 cups of sugar and 3 1 4 cups of flour.
Therefore, the difference between the amount of flour and the amount of sugar is:
3 1 4 − 1 2 3 = 12/4 + 3/4 - 3/12 = 9/12 + 9/12 - 1/12 = 17/12
The difference between the amount of flour and the amount of sugar is 17/12, not 123. Therefore, we cannot agree with Emily's statement that she has 123 more cups of flour than sugar.
Option C is the correct answer, as it states that the difference between 3 1 4 and 1 2 3 is 1 7 12, which is the same as our calculation above. Options A and B are incorrect because they give incorrect values for the difference. Option D is incorrect because it gives the sum of the two quantities, not the difference.
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Answer:
its c. all credits go to the girl/boy up there.
Step-by-step explanation:
A tessellation is a ____ pattern that completely covers a plane with no gaps or overlaps.
Proportional
Repeating
Reflection
Transformation
Answer:
Repeating
Step-by-step explanation:
A Tessellation is when you cover a surface with a pattern of flat shapes, so there are no gaps. So, the answer is Repeating.
ashley jogged at most 10 1/2 miles this week. use a variable to write each sentence as an inequality.
Use substitution to solve the following system of equations. Show all of your work. Write the solution as an ordered pair.
4x+2y=36
y=2x-2
Using the substitution to solve the following system of equations, 4x+2y=36
y=2x-2 we get value of x as 5 and y is equal to 8.
There are two methods for solving simultaneous linear equations: graphical methods and algebraic methods. The algebraic technique includes the substitution method as one of its categories.
We have two equations as,
4x+2y=36
y=2x-2
Substituting the value of y = 2x - 2 in the equation 1 we get,
4x + 2(2x - 2) = 36
4x + 4x - 4 = 36
8x = 36 + 4
8x = 40
x = 5
And y = 2 x 5 - 2 = 8
Therefore, the value of x is 5 and y is 8.
The algebraic approach for solving simultaneous linear equations is the substitution method. The value of one variable from one equation is substituted in the second equation, as the name implies. In this manner, a pair of linear equations is reduced into a single linear equation with only one variable, which can then be solved quickly. Before beginning to solve linear equations using the substitution approach, learn about the algebraic and graphical methods.
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Enter your answer and show all the steps that you use to solve this problem in the space provided. Use the 30°-60°-90° Triangle Theorem to find the answer.
Find the value of x. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
Pleaseeee helppp!! I answered all the other questions but I don't know what to do for this one...
5√3 is the measure of the value of x
Solving trigonometry equationThe given diagram is a right triangle. We need to determine the measure of the side 'x'
Using the trigonometry identity:
tan 60 = x/5
x = 5 tan 60
Simplifying the result, we will have:
x = 5√3
Hence the value of x from the given triangle is 5√3
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what is 2/3 in decimals
The result of 2/3 in decimals is 0.667
To convert a fraction to a decimal, you simply need to divide the numerator (the top number) by the denominator (the bottom number).
In this case, we have:
2 ÷ 3 = 0.666666...
This decimal representation of 2/3 is a repeating decimal, which means that the digit 6 repeats indefinitely.
To write this number as a decimal with a finite number of decimal places, we can round it off to a certain number of decimal places.
For example, rounding to two decimal places gives:
2/3 ≈ 0.67
Rounding to three decimal places gives:
2/3 ≈ 0.667
And so on. The number of decimal places to which you round depends on how precise you need the answer to be.
Therefore, 2/3 is 0.667
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Assuming that the long-run demand for oranges is the same as the short-run demand, you would expect a binding price ceiling to result in a________ that is_________in the long run than in the short run.(Surplus/Shortage) (Larger/Smaller)
If the long-term demand for oranges is the same as the short-term demand, a binding price ceiling will result in a shortage that is larger in long-run demand than the short-run demand. So the answers are shortage and larger.
A shortage occurs when there is a difference between the quantity that is supplied and the quantity that is required of a product, service, or resource. Surplus is a term used to describe situations where there is more supply than demand for a product, service, or resource.
So when the long-run demand is the same as the short-run demand, binding price ceilings typically result in a shortage when there is a lack of supply of products. And, the result will be larger in the case of the long run compared to the short run. Therefore, the first blank can be filled with shortage and the second blank with larger.
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En un corral las gallinas han puesto 336 huevos ¿Cuántas docenas son?
There are 28 dozens of eggs.
How to obtain the number of dozens of eggs?The number of dozens of eggs is obtained applying the proportions in the context of the problem.
Each dozen is composed by 12 eggs, hence the number of dozens in n eggs is obtained dividing n by 12.
Then the number of dozens in 336 eggs is obtained as follows:
336/12 = 28 dozens of eggs.
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21 point paragraph explaining how I used algebra over the weekend
Answer:
John went grocery shopping over the weekend and used algebra to find the best deals. He compared the unit price of similar products to determine which one was the most cost-effective. Later that day, John practiced basketball with his friends, and he used algebra to track his progress. He calculated his shooting percentage by dividing the number of shots he made by the total number of shots he attempted, giving him insight into how he was improving over time. Finally, John cooked dinner and used algebra to adjust the recipe. He needed to make a meal for eight people, but the recipe was only for four, so he had to double the quantities of ingredients while keeping the ratios the same. By using algebra, he was able to create a delicious meal that was the right size for his gathering.
A country's population in 1993 was 105 million.
In 1997 it was 110 million. Estimate
the population in 2006 using the exponential
growth formula. Round your answer to the
nearest million.
P = Aekt
Enter the correct answer.
Answer:We use the formula for exponential growth:P = Po exp(kt)Using the population data from 1993 to 1996, we can solve for the growth rate k76 = 72 exp(k(3))76/72 = exp(3k)ln (76/72) = 3kk = ln(76/72) / 3 = 0.0180In 10 years (2003), the population will be:P = Po exp(0.0180t)P = 72 exp(0.0180(10))P = 86.22 million
Step-by-step explanation:
A cylindrical glass has a diameter of 3 inches and is 10 inches tall. Suppose the faucet dispenses water at a rate of 1 cubic inches per second. How long does it take to fill the glass 50%? Enter your answer as a decimal rounded to two places.
It takes approximately 35.35 seconds to fill the glass 50%. Rounded to two decimal places, the answer is 35.35 seconds.
The volume of the cylindrical glass can be calculated as:
V = πr²h
where r is the radius (half of the diameter), h is the height, and π is the mathematical constant π (approximately 3.14).
Since the diameter is 3 inches, the radius is 1.5 inches. The height is 10 inches. Therefore, the volume of the glass is:
V = π(1.5)²(10) ≈ 70.69 cubic inches
To fill the glass 50%, we need half of the volume:
V/2 ≈ 35.35 cubic inches
The faucet dispenses water at a rate of 1 cubic inch per second, so the time it takes to fill the glass 50% is:
t = (V/2) / (1 cubic inch per second) ≈ 35.35 seconds
Therefore, it takes approximately 35.35 seconds to fill the glass 50%. Rounded to two decimal places, the answer is 35.35 seconds.
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What is the convertion amu to kg?
The following formula is used for conversion of amu to kg:
1 amu = 1.66054 x [tex]10^{-27}[/tex]kg
The atomic mass unit (amu) is a unit of mass used in chemistry and physics to express the masses of atoms and molecules, whereas the kilogramme (kg) is the International System of Units' basic unit of mass (SI). We may use the following relationship to convert from amu to kg:
1.66054 x [tex]10^{-27}[/tex]kg = 1 amu
To convert a mass from amu to kg, multiply the mass in amu by 1.66054 x [tex]10^{-27}[/tex]. For instance, if we have a mass of 10 amu, we may convert it to kg using the formula:
10 amu x 1.66054 [tex]10^{-27}[/tex] kg/amu = 1.66054 [tex]10^{-26}[/tex] kg.
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100 POINTS AND BRAINLIEST
Answer:0.67<1(top part)
3x - y < 1
3/3 1/3=0.33...
0.33..-y < 1
-0.33=0 1-0.33..=0.67<1
i only know the top art sorry
Answer:
its 0.67
Step-by-step explanation:
Which measurement represents the height of the parallelogram
In Connexus.com
Unit 2: measurement
Lesson 1: Area and perimeter of parallelograms
The measurement that represents the height of the parallelogram is A. 3 m.
Where is the height of a parallelogram ?The height of a parallelogram is the perpendicular distance between its two parallel bases. It is the distance between the two parallel bases measured at a 90-degree angle.
To find the height of a parallelogram, draw a perpendicular line from one base to the other. The length of this line is the height of the parallelogram.
On the given image, the line that shows the perpendicular distance between its two parallel bases is 3 m so this is the height.
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Examine the graph.
An upward-opening parabola that intersects the X-axis at (negative 2, 0) and (4, 0).
© 2020 StrongMind. Created using GeoGebra.
Which answers are factors of the function represented by the graph?
Since the parabola intersects the x-axis at (-2,0) and (4,0), those are the roots (or zeros) of the quadratic function. Therefore, the factors of the function are (x+2) and (x-4).
Describe Graph?A graph is a visual representation of data or mathematical functions that uses points, lines, and curves to illustrate relationships between variables or values. Graphs are used in many fields, including mathematics, science, engineering, business, and economics, to convey information in a clear and concise way.
There are several types of graphs, each with its own purpose and style. The most common types of graphs include:
Line graphs: These graphs use lines to connect data points and are used to show trends over time.
Bar graphs: These graphs use bars to represent data and are used to compare values between different categories.
Pie charts: These graphs use a circular shape divided into sections to represent proportions or percentages of a whole.
Scatter plots: These graphs use dots to represent data points and are used to show relationships between two variables.
Histograms: These graphs use bars to represent the frequency of data within different intervals or ranges.
Graphs can be created by hand or using software such as Microsoft Excel, MATLAB, or Python. They can also be customized with different colors, labels, and formatting options to improve their clarity and impact.
Overall, graphs are a powerful tool for visualizing data and communicating complex information in a simple and effective way.
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An angle measures 176.2° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
The angles are 178.1° and 1.9°
Step-by-step explanation:
Supplementary angles add up to 180°
Let the angles be x and y with x being the larger angle
x = 176.2 + y
x - y = 176.2 (1)
Since they add up to 180 we also get
x + y = 180 (2)
Equations added: (1) + (2)
x - y + x + y = 176.2 + 180
2x = 356.2
x = 356.2/2 = 178.1°
y = 180 - 178.1 = 1.9°
Complete the table that represents viable solutions for y=20x , where x is the number of hours software runs and y is the number of read-only documents converted into editable documents by the software.
Answer: 1i think 13213123123121232
Step-by-step explanation:first go home eat sleeo theyn wake up
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A geometric sequence has first term 14 and common ratio 2. Which term of the sequence is 64?
The required, fourth term of the geometric sequence is 64.
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
We can use the formula for the nth term of a geometric sequence to solve the problem. The nth term of a geometric sequence with first term a and common ratio r is given by:
[tex]an = ar^(n-1)[/tex]
In this case, the first term is 14 and the common ratio is 2. So the nth term is:
[tex]an = 14*2^{n-1}\\[/tex]
So
[tex]14(2^{n-1}) = 64\\2^{n-1} = 64/14 = 32/7[/tex]
To solve for n, we can take the logarithm of both sides of the equation. We can use any base for the logarithm, but it's usually convenient to use base 2 since the equation involves powers of 2. So
[tex]log_2(2^{n-1}) = log_2(32/7)\\(n-1) = log_2(32/7)\\n = log_2(32/7) + 1[/tex]
Using a calculator, we can approximate log_2(32/7) as 2.665. So:
n = 2.665 + 1
n ≈ 3.665
Since n must be a whole number (we're looking for a specific term of the sequence), we can round up to the nearest integer to get:
n = 4
Therefore, the fourth term of the sequence is 64.
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100 POINTS! What is the equation that represents g(x)?
The logarithmic functions, f(x) and g(x), are shown on the graph. What is the equation that represents g(x)? Explain your reasoning.