Using the expected value of a discrete distribution, the values are given as follows:
a) $250.
b) $2,500,000.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
The distribution of the company's earnings is given as follows:
P(X = -4400) = 0.02.P(X = -9400) = 0.01.P(X = -29400) = 0.005.P(X = 600) = 0.965.Considering that the policy sells for $600, for example, a $5000 claim is a loss of $5000 - $600 = $4,400 for the company, which explains the above distribution.
Item a:
The expected value for a policy sold is given by:
E(X) = 600(0.965) - 4400(0.02) -9400(0.01) - 29400(0.005) = 250.
Item b:
Considering the value found in item a for a single policy, for 10,000 policies, the expected profit is given by:
E = 10000 x 250 = 2,500,000.
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giving brainliest :)
Answer:
The last one - 256 people
Find the midpoint of the line segment joining the points P1 and P2. P1 = (x, 8); P2 = (0, 9)
Answer:
(x/2 , 17/2)
Step-by-step explanation:
To find a midpoint, you average the x's and average the y's. Average them by adding the x-coordinates and divide by 2. Same with the y's.
The x's are x for P1 and 0 for P2.
x+0 / 2
=x/2
This will be the x-coordinate of the midpoint. Then for the y, use 8 and 9, the y's.
8+9 / 2
= 17/2
This will be the y-coordinate of the midpoint.
The midpoint is:
(x/2 , 17/2)
You could also divide 17/2 and get 8.5 then the midpoint would be:
(x/2 , 8.5)
Tommy starts walking from school to home at the same time that his Dad starts walking from home to school. They both depart at 3:00 p.m. Tommy is walking at a speed of 1.35 meters per second, and his Dad is walking at a speed of 1.65 meters per second. The distance between home and school is 720 meters. At what time will they meet?
Answer:
They will meet at 3:04 p.m
Step-by-step explanation:
Since they are walking towards each other , that means we should add their speed together:
speed = 1.35 m/s + 1.65 m/s
= 3 m/s
Now that we have found the speed, we can calculate the time:
time = 720 meters / 3 m/s
= 240 seconds
= 4 minutes ( 240 seconds is 4 minutes)
Question 6 of 10
What is the approximate value of x in the diagram below? (Hint: You will need
to use one of the trigonometric ratios given in the table.)
23
54°
90°
OA. 18.61
OB. 39.12
C. 31.64
36°
sin 36
cos 36
tan 36
0.588
≈ 0.809
0.727
Answer:
C. 31.64
Step-by-step explanation:
23 = sin(36) × Hypotenuse
Hypotenuse is the baseline between the angles 36° and 54°.
Hypotenuse = 23/sin(36)
x = cos(36) × Hypotenuse
x = cos(36) × 23/sin(36) = cos(36)/sin(36) × 23 =
= 1/tan(36) × 23 = 23/tan(36) = 31.63686382... ≈
≈ 31.64
The approximate value of x in the diagram is,
⇒ x = 31.5
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in figure.
Now, We can formulate;
⇒ tan 36° = 23 / x
⇒ 0.73 = 23/x
⇒ x = 23 / 0.73
⇒ x = 31.5
Thus, The approximate value of x in the diagram is,
⇒ x = 31.5
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Sarah will ship packages for anyone. She charges $6 for her services and then $2.75 per item. How much would she charge to ship 8 items
QUESTION IS DOWN BELOW!
Answer:
The ratio of the widths is 3:16, the ratio of the volumes is 27:4096, and the ratio of the surface areas is 9:256.
Step-by-step explanation:
In Geometry, you'll learn that when the scale factor of similar figures is a:b, then the ratio of the perimeter is a:b, the ratio of the area is a*a:b*b and the ratio of volume is a*a*a:b*b*b.
The graph of the function f(x)=log7(x) is stretched vertically by a factor of 4, shifted to the left by 5 units, and shifted down by 3 units.
The resulting function after all transformations have been carried out is; 4log7(x+5) + 2.
Which function results from all the Transformations?The transformations which ensued on the function given are as follows;
Stretched vertically by a factor of 4; Hence, we have; 4f(x) = 4log7(x).
Shifted to the left by 5 units; 4f(x) = 4log7(x +5).
Shifted down by 2 units; 4f(x) +2 = 4log7(x+5) + 2.
On this note, it follows that the resulting function upon all the Transformations is; = 4log7(x+5) + 2.
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Consider the following data.
13,13,−5,−5,13,11,−5
Step 1 of 3 : Determine the mean of the given data.
Step 2 of 3: Determine the median of the given data.
Consider the following data.
13,13,−5,−5,13,11,−5
Step 3 of 3: Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.
The median is 5.
The median is 11.
The data set is bimodal.
What is the mean, median and mode of the data?Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
(13 + 13 −5 −5 + 13 + 11 −5) / 7 = 35/7 =5
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
-5, -5, -5, 11, 13,13, 13
Median = 11
A bimodal data set is a distribution with two clear most frequent values.
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A line passes through the point (-2, 8) and has a slope of-5/2.
Write an equation in slope-intercept form for this line.
Answer:
[tex]y = -\frac{5}{2} x + 3[/tex]
Step-by-step explanation:
We are given that a line passes through (-2, 8) and has a slope of -5/2.
We want to write the equation of this line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y-intercept.
Since we are already given the slope of this line, we can immediately plug it into the equation.
Replace m with -5/2.
[tex]y = -\frac{5}{2} x+ b[/tex]
Now we need to find b.
As the equation passes through the point (-2, 8), we can use its values to help solve for b.
Substitute -2 as x and 8 as y.
[tex]8 = -\frac{5}{2} (-2) +b[/tex]
Multiply.
8 = 5 + b
Subtract 5 from both sides.
3 = b
Replace b with 3 in the equation.
[tex]y = -\frac{5}{2} x + 3[/tex]
Topic: finding the equation of the line (slope-intercept form)
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can someone pls help find x and y
Answer:
x = 9 & y = 29
Step-by-step explanation:
Since we know that 7x is next to 117, that area will be equal to 180*,
7x + 117 = 180
7x = 180-117
7x=63
x=9
to find y, you can use the same method, just by finding the other angle inside. 53+7(9) + z = 180
53+63 = 180
116+z = 180
z = 180-116
z = 64.
Then we do
4y + 64 = 180
4y = 180-64
4y=116
y = 29
Ralph chase plan to sell a piece of property for $160,000. He wants the money to be paid off in two ways- a short term note at 10% interest and a long term note at 7% interest. Find the amount of each note if the total annual interest paid is $13750.
$85000 was paid at a short term note at 10% interest while $75000 was paid at a long term note at 7% interest.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the amount of fund at 10% and y represent the amount of fund at 7% interest, hence:
x + y = 160000 (1)
Also:
0.1x + 0.07y = 13750 (2)
From both equations:
x = 85000 and y = 75000
$85000 was paid at a short term note at 10% interest while $75000 was paid at a long term note at 7% interest.
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Whats the correct answer answer asap
For the function f(x) = -(x+6)(x+2), when is the function decreasing and when is it increasing?
Answer:
• The function f is increasing to the left of -4 (-∞ , -4]
• The function f is decreasing to the right of -4 [-4 , +∞)
Step-by-step explanation:
f(x) = -(x+6)(x+2)
= -(x² + 2x + 6x + 12)
= -(x² + 8x + 12)
= -x² - 8x - 12
The leading coefficient is -1 (the coefficient of the highest term -x² of the trinomial)
Then
The parabola opens downward.
………………………………………
[tex]-\frac{b}{2a} =-\frac{-8}{2\times \left( -1\right) } =-4[/tex]
Then
The function f is increasing to the left of -4 (-∞ , -4]
The function f is decreasing to the right of -4 [-4 , +∞)
Solve for the missing item in the following. (Do not round intermediate calculations. Round your answer to the nearest whole percent.)
Principal 5000 time 6 months simple interest $300
Rate?
Answer:
The answer is $0.36
Step-by-step explanation:
giving brainliest!!!!!!
Answer:
10.4
Step-by-step explanation:
So an exponential equation with a decay can be expressed as: [tex]f(x)=a(1-r)^t[/tex] where r is the decay rate. In this case is decreasing at 4% each year, this means that the r is equal to 0.04 (divide the percent by 100 to convert to decimal). So the equation is going to be: [tex]f(x)=a(0.96)^t[/tex]. The reason this works is because whenever you decrease by x%, the new value is (1-x)%, which is expressed in the formula. But the reason the exponent is there is because after 1 year it's going to be 0.96a, but after two years, it's going to be 0.96 the previous year which is 0.96a, so after two years it's going to be 0.96(0.96a), and then the next year it's 0.96 of the second year, which is then 0.96(0.96(0.96a))... and so on. So the amount of 0.96 increases as t increases. the a is going to be the initial amount, since then t=0, 0.96^0 will be equal to 1, which makes the expression a(1), which is just a. So this gives you the complete equation: [tex]p(x)=13000(0.96)^t[/tex]
Now to find when it's equal to 8,500 you need to start by setting it equal to 8,500 so I'll work through each step
Original Equation:
[tex]p(x)=13000(0.96)^t[/tex]
Set the equation equal to 8,500
[tex]8500=13000(0.96)^t[/tex]
Divide both sides by 13,000
[tex]0.653846\approx 0.96^t[/tex]
Rewrite in logarithmic form
[tex]log_{0.96}0.653846=t[/tex]
If you're calculator allows you to enter the base when calculating log, but this expression into your calculator to calculate the value of t, otherwise use the change of base formula
[tex]\text{change of base formula: }log_ba = \frac{log(a)}{log(b)}[/tex]
[tex]t=\frac{log0.653846}{log0.96}\\[/tex]
[tex]t\approx\frac{-0.1845}{-0.0177}[/tex]
[tex]t\approx10.4[/tex]
Two shops, Tisco and Azda, sell the same brand of baked beans with the following deals.
Calculate the price per 12 items.
Write down which shop is the best value in the comment box.
azda:3 for 1.14
tisco:4 for 1.56
Answer:
Azda has the best value: 4.56
Step-by-step explanation:
azda sells three products for 1.14, so twelve products would cost 4.56(1.14 * 4)
tisco sells four products for 1.56, so twelve products would cost 4.68(1.56*3)
azda has the best value
Compare and Contrast a square and an equilateral triangle? Be sure to communicate and discuss using mathematical language, ideas and concepts from this module.
The comparison and contrast between a square and an equilateral triangle are stated and explained below:
What is a square? A square is a plane shape with an equal length of sides. This implies that the measure of its length is the same as that of its breadth.
What is an equilateral triangle? A triangle is a plane shape with three sides, and a sum of its internal angles to equal [tex]180^{o}[/tex]. Thus an equilateral triangle is a type of triangle with equal lengths of sides, and therefore equal internal angles.
Comparison: i. The two shapes have equal lengths of sides.
ii. An equilateral triangle and a square are examples of plane shapes.
Contrast: i. An equilateral triangle has three sides, while a square has four sides.
ii. An equilateral triangle has three internal angles, while a square has four internal angles which are right angles.
iii. The sum of internal angles of an equilateral triangle is [tex]180^{o}[/tex], while that of a square is [tex]360^{o}[/tex].
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Kindly get 1-on-1 help from an expert tutor for more explanations if required.
Answer:
A square has degrees that add up to 360 but an equilateral triangle only adds up to 180
Step-by-step explanation:
what is the answer of:
[tex]2 \div 3 + \sqrt{5} [/tex]
Answer:
[tex]\frac{2 \: + \: 3 \sqrt{5} }{3} [/tex]
Step-by-step explanation:
[tex] \frac{2}{3} + \sqrt{5} = [/tex]
[tex] = \frac{2}{3} + ( \sqrt{5} \times \frac{3}{3} )[/tex]
[tex]= \frac{2}{3} + \frac{3 \sqrt{5} }{3} [/tex]
[tex]= \frac{2 \: + \: 3 \sqrt{5} }{3} [/tex]
Let v = leftanglebracket 3, negative 2 rightanglebracket. what is the approximate direction angle of v?
The approximate direction angle of v is 326°
Definition of Direction Angle
A vector's direction angle is the angle formed by the positive x-axis and the vector v. The arctangent of the ratio between the vertical and horizontal components of the vector, v=xi+yj, can be used to determine the direction angle, θ.
What is the direction angle of v?
Let θ be the direction angle of v or the angle mad by v with the horizontal line.
It is given that,
[tex]v = < 3, -2 >[/tex]
We know that,
θ = tan⁻¹([tex]\frac{y}{x}[/tex])
Here, we have y = -2 and x = 3. Hence, we get,
∴ θ = tan⁻¹[tex](\frac{-2}{3})[/tex]
⇒θ = tan⁻¹(0.66)
Hence the direction angle of v = 360 - tan⁻¹(0.66)
≈ 326°
Thus, the approximate direction angle of v is 326°.
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AM and AN are tangent to circle C. If AM measures 2.5 cm, what is the measure of AN?
M
2.0 cm
O 5.0 cm
O 1.5 cm
2.5 cm
C
A
N
The measure of AN form the given figure is 2. 5cm. Option D
How to determine the length
It is important to note that if from one external point, two tangents are drawn to a circle then they have equal tangent segments.
We have that,
AM ≅ AN
so, if AM measures 2. 5cm
AN measures 2. 5cm
Thus, the measure of AN form the given figure is 2. 5cm. Option D
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the two lines graphed below are parallel. how many solutions are there to the system of equation
Since parallel lines do not meet, hence we can conclude that they have infinitely many solutions
Solution to system of equationsThe given graph contains 2 straight lines. passing through the y- axis.
The graphed lines has np solution since they do not have any point of intersection on the place. They are known as parallel lines.
Since parallel lines do not meet, hence we can conclude that they have infinitely many solutions
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How is the graph of g(x) = (x - 6)³ related to the
graph of f(x) = x³? (0.5 point)
A. The graph of g(x) is a translation of the
graph of f(x) down 6 units.
B.
The graph of g(x) is a translation of the
graph of f(x) right 6 units.
C.
The graph of g(x) is a translation of the
graph of f(x) left 6 units.
Answer:
B. )The graph of g(x) is a translation of the graph of f(x) right 6 units.
Step-by-step explanation:
When a positive number is directly added to an "x" variable (usually inside of parentheses), the graph is shifted to the left that many units.
When a negative number is directly added to an "x" variable, the graph is shifted to the right that many units.
A graph shifts up or down when a positive or negative number is added to the overall function. For example, if the -6 were outside of the parentheses, the graph would be translated 6 units downwards.
Simplify the following expression, and combine like terms: 15x²y - 4(-2xy² - 9xy) + 12xy² - 8xy - 9x
Answer:
15x^2y+20xy^2+28xy-9x
Step-by-step explanation:
15x²y - 4(-2xy² - 9xy) + 12xy² - 8xy - 9x
First distribute the -4 to all the terms in the parentheses
15x²y +8xy² + 36xy + 12xy² - 8xy - 9x
Now combine like terms
15x²y +8xy² + 12xy² + 36xy - 8xy - 9x
15x^2y+20xy^2+28xy-9x
1
Which expression is equivalent to [log9+ logx+log(x²+4)]-log6?
og 3√x (x² + 4)
2
O log-
3√√x (3x+4)
2
O log-
√9x(x³+4)
6
O log-
log9x(x³+4)
6
The equivalent expression to the given logarithm without tables is [tex]\mathbf{ =log_{10} (\dfrac{3x(x^2+4)}{2})}[/tex]. Option A is correct.
What are equivalent expressions?Equivalent expressions are expressions that differ in appearance but when a value is being replaced for their unknown variable, gives an equivalent result.
From the given information:
[tex]\mathbf{(log_{10}(9)+log_{10}(x) + log_{10}(x^2+4) )-log_{10} (6) }[/tex]
[tex]\mathbf{=log_{10}(9)+log_{10}(x) + log_{10}(x^2+4) -log_{10} (6) }[/tex]
[tex]\mathbf{=log_{10}(9x)+ log_{10}(x^2+4) -log_{10} (6) }[/tex]
[tex]\mathbf{=log_{10}(9x(x^2+4)) -log_{10} (6) }[/tex]
Apply log rule: [tex]\mathbf{log_a(x)-log_a(y) =log_a(\dfrac{x}{y})}[/tex]
[tex]\mathbf{=log_{10}(9x(x^2+4)) -log_{10} (6) =log_{10} (\dfrac{9x(x^2+4)}{6})}[/tex]
[tex]\mathbf{ =log_{10} (\dfrac{9x(x^2+4)}{6})}[/tex]
[tex]\mathbf{ =log_{10} (\dfrac{3x(x^2+4)}{2})}[/tex]
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Approximately what interest rate to the nearest whole percentage would you need to earn in order to turn $3,500 into $7,000 over
10 years?
The interest rate to the nearest whole percentage would you need to earn in order to turn $3,500 into $7,000 over 10 years is 10%
Simple interest and amountThe formula for calculating amount is expressed as;
Amount = Principal + Simple interest
Given the following
Amount = $7000
Principal = $3500
time =10 years
Substitute
7000 = 3500 + 3500(R)(10)
3500 = 35000R
R = 3500/35000
R = 0.1
Hence the interest rate to the nearest whole percentage would you need to earn in order to turn $3,500 into $7,000 over 10 years is 10%
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The voyage of the Mayflower took 8 months and 11 days. Convert the time to days.
Answer:
If i did it correctly the answer should be 255 days
Step-by-step explanation:
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Joy is going to a sub shop for a sandwich. At the restaurant, she can choose either a roll (R), bread (B), or a wrap (W). There are two meat choices, ham (H) and turkey (T), and 2 kinds of cheese, Swiss (S) and American (A). Before she goes, Joy wants to make a list of her choices. If she chooses one item from each selection, which will be part of her list?
Answer:
so their are three kinds of breed 2 kinds of meet and 2 kinds of cheese here the list
roll, ham,swiss
roll, turkey,american
roll,ham,american
roll, turkey,swiss
bread, ham,swiss
bread, turkey,american
bread,ham,american
bread, turkey,swiss
wrap, ham,swiss
wrap, turkey,american
wrap,ham,american
wrap, turkey,swiss
Hope This Helps!!!
Estimate the following quantities without using a calculator. Then find a more precise result, using a calculator if necessary. Discuss whether the approximation technique worked.
The approximate value of 63000 x 200 will be 12600000.
What is multiplication?
In mathematics, multiplication is defined as the sum of the numbers to the other number given. Like if 2 is multiplied by 3 then the multiplication will be the sum of the two-three times.
Given expression is 63000 x 200 so here we need to calculate the sum of the 63000 to 200 times.
E = 63000 x 200
E = 12600000
Therefore the approximate value of 63000 x 200 will be 12600000.
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set x is made up of the possible ways five students, represented by a, B, C, D, and E, can be formed into groups of three. Says y is made up of the possible ways five students can be formed into groups of three if student a must be in all possible groups. which statements about the situation are true
The true statement about the set include:
Set X has 10 possible groupings. X Y Set Y = {ABC, ABD, ABE, ACD, ACE, ADE} There are three ways to form a group if persons A and C must be in it.How to illustrate the information?If set X is made up of the possible ways five students, represented by A, B, C, D, and E, can be formed into groups of three, then the set X consists of such triples {ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE}.
The set X totally contains 10 elements.
There are three ways to form a group if persons A and C must be in it. This statement is true and these groups are ABC, ACD, ACE.
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One number is 8 times another number. The numbers are both positive and have a difference of 70. Find the numbers.
Which of the following equations could be used to solve the problem?
8 x - x = 70
x - 8 x = 70
x - 8 = 70
Answer:
8x - x = 70
Step-by-step explanation:
x equals 10 because,
8 x 10 = 80
and x = 10, so 80 - 10 = 70.