an insurance policy reimburses dental expense,X , up to a maximum benefit of $250. the probability density function for X is :
f(x) = {ce^-0.004x for x > 0
{0 otherwise,
where c is a constant. Calculate the median benefit for this policy.

Answer:

3/6 of a bag of candy

Step-by-step explanation:

When you do butterfly method, u may have learned or not but u do.

3/10, 3/6

and you multiply across

So, 6x3=18 and 10x3=30

and 3/6 has a higher value, so its correct

Answer:

Question 1

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, or a right triangle)

Given:

⇒ BC² + 8² = 10²

⇒ BC² = 36

⇒ BC = 6 cm

Question 2

Given:

⇒ MB = AB - AM = 8 - x

As ΔABC ~ ΔMBN

⇒ AB : AC = MB : MN

⇒ 8 : 10 = (8 - x) : MN

\(\sf \implies \dfrac{8}{10}=\dfrac{(8-x)}{MN}\)

\(\sf \implies \dfrac45=\dfrac{(8-x)}{MN}\)

\(\sf \implies MN=\dfrac54(8-x)\)

Question 3

D = (6, 8)

As ΔBAD ~ ΔMAP

⇒ AB : AD : BD = AM : AP : MP

⇒ 8 : 6 : 10 = x : AP : MP

\(\sf \implies \dfrac{8}{6}=\dfrac{x}{AP}\)

\(\sf \implies AP=\dfrac34x\)

\(\sf \implies \dfrac{8}{10}=\dfrac{x}{MP}\)

\(\sf \implies MP=\dfrac54x\)

Question 4

Perimeter of MNCDP = MN + NC + CD + PD + MP

As ΔABC ~ ΔMBN

⇒ AB : BC : AC = MB : BN : MN

⇒ 8 : 6 = (8 - x) : BN

\(\sf \implies \dfrac86=\dfrac{(8-x)}{BN}\)

\(\sf \implies BN=\dfrac34(8-x)\)

NC = BC - BN

\(\sf \implies NC=6-\dfrac34(8-x)\)

PD = 6 - AP

\(\sf \implies PD=6-\dfrac34x\)

Perimeter of MNCDP = MN + NC + CD + PD + MP

\(\sf \implies perimeter=\dfrac54(8-x)+6-\dfrac34(8-x)+8+6-\dfrac34x+\dfrac54x\)

\(\sf \implies perimeter=10-\dfrac54x+6-6+\dfrac34x+8+6-\dfrac34x+\dfrac54x\)

\(\sf \implies perimeter=10+8+6=24\)

Answer:

One solution at (-4, -22)

Step-by-step explanation:

5x - y = 2

y = 5x - 2 --(1)

2x - 0.5y = 3 --(2)

sub (1) into (2):

2x - 0.5(5x - 2) = 3

2x - 2.5x + 1 = 3

-0.5x = 2

x = -4

when x = -4, y = 5(-4) - 2 = -22

The nature of the solution set to the system of equations are,

⇒ One solution at (-4,-22).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

5x - y = 2   .. (i)

2x - 0.5y = 3  .. (ii)

Now, We can simplify as;

From (i);

5x - y = 2

y = 5x - 2

Put above value in (ii);

2x - 0.5 (5x -2) = 3

2x - 2.5x + 1 = 3

- 0.5x = 2

x = - 4

From (i);

y = 5 × - 4 - 2

y = - 20 - 2

y = - 22

Thus, The nature of the solution set to the system of equations are,

⇒ One solution at (-4,-22).

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The algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y). (Option D)

A dilation is a type of transformation that changes the size of the shape or object.  It refers to a process of changing an object’s size by decreasing or increasing its dimensions by a scaling factor. A dilation produces an image that has the same shape as the original image but is a different size.

A dilation that results in a larger image is called an enlargement while a dilation that generates a smaller image is called a reduction. A dilation is described using the scale factor and the center of the dilation (which is a fixed point in the plane).

For a scale factor > 1, the image is an enlargement; for a scale factor < 1 and  > 0, the image is a reduction; and for a scale factor = 1, the figure and the image are congruent. Hence, for a point (x,y), algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y) as the scale factor is greater than 1. For the remaining options, the scale factor is between 0 and 1, hence they are reduction.

Note: The question is incomplete. The complete question probably is: Which of the following algebraic representation shows a dilation that is an enlargement? A) (1/3 x,1/3 y) B) (0.1x, 0.1y) C) (5/6 x,5/6 y) D) (5/2 x,5/2 y)

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The missing length of the composite rectangular figure is s = 10 feet

Given data ,

Let the missing length of the figure be = s

Now , let the width of the larger side of the rectangle be = 16 feet

Let the width of the smaller side of the rectangle be = 6 feet

So , Perimeter P of rectangle = 2 ( Length + Width )

The missing side of rectangle s = 16 - 6

s = 10 feet

Hence , the missing side is s = 10 feet

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Answer:

One of the obvious symbols in “Roll of Thunder, Hear My Cry” is the fig tree, which represents the Logan family tree and its connection to their cherished land

Answer:

another example is books. They show power and opression.

Step-by-step explanation:

:)

As you consider the various factors involved in starting a group, the most important factor you have to judge is the group's purpose or goal.

Step 1: Identify the group's purpose or goal - This is crucial because it will guide all other decisions, including membership criteria, communication methods, and meeting schedules.

Step 2: Assess the needs and resources of potential members - This will help you understand their motivations and ensure the group can support their needs while accomplishing its goal.

Step 3: Establish clear membership criteria and expectations - This will ensure that everyone in the group is on the same page and committed to the same goals.

Step 4: Choose an appropriate communication method - This will facilitate smooth and efficient communication among group members.

Step 5: Develop a meeting schedule that works for all members - Regular meetings help keep the group on track and provide opportunities for collaboration and feedback.

By focusing on the group's purpose or goal, you can create a solid foundation for a successful and productive group.

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Answer:

Option B

Step-by-step explanation:

Use the Pythagorean Theorem.

\(a^2+b^2=c^2\)

For Option A:

\(4^2+5^2=9^2\\\\16+25=81\\\\\boxed{41\neq 81}\)

It is not a right triangle.

For Option B:

\(5^2+12^2=13^2\\\\25+144=169\\\\\boxed{169=169}\)

Option B's side lengths can be used as a right triangle.

Hope this helps.

5, 12, 13 are the side lengths represents a right triangle.

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

Given are side lengths of triangles,

The right-angled triangles follow Pythagoras theorem,

In option B)

5² + 12² = 25 + 144 = 169 = 13²

Hence, option B is the sides of  a right-angled triangle.

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The distance the plane flies between the two cities is 2,475 miles.

Given that, an aeroplane leaves Los Angeles and travels 5 hours to New York City. The return trip travels along the same route and takes 6 hours and 15 minutes because the plane travels 99 mph slower due to a headwind.

We need to find the distance the plane flies between the two cities.

To get the distance, multiply the speed by time. You may see these equations simplified as s=d/t, where s is speed, d is distance, and t is time.

Let the speed of an aeroplane while travelling from Los Angeles to New York City be x.

Then the speed of an aeroplane during the return trip will be x-99.

Now, Distance=Speed × Time

So, x × 5 = (x-99) × 6 1/4

⇒5x=25/4 (x-99)

⇒20x=25x-2475

⇒5x=2475

⇒x=495

The speed of an aeroplane is 495 mph.

Now, the distance = 5x =5 × 495

=2,475 miles

Therefore, the distance the plane flies between the two cities is 2,475 miles.

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Answer: plane

Step-by-step explanation:

plane fliying in the sky it go fl y

Answer:

1. 80%

2. ?

3. $28.37

4. 37.5

5. around 6.1

6. 15

7. 333

8. $228.56

9. 0.24%

10. around 24.6% so if you round it , it would be 25%

11. 83.3%

12. $86.20

The given function y = 3.28x converts length from x meters to y feet.

To graph the function, we can plot a few points and connect them.

Here are some points that we can plot:

x (meters) y (feet)0 03.28 10.7613.12 42.9456.56 214.5489.14 299.8720 65.6160 524.9340.3048 1

Since y depends on x, x is the independent variable, and y is the dependent variable.

We can see that as the value of x increases, so does the value of y, which means that the graph slopes upward

The domain of a function is the set of all values that the independent variable can take on. Since we can have any positive value of x (in meters), the domain of this function is continuous.

In conclusion, the given function y = 3.28x converts length from x meters to y feet. x is the independent variable, and y is the dependent variable. The graph of the function slopes upward, indicating that as x increases, y also increases. The domain of the function is continuous because x can take on any positive value.

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The probability of getting a heart on the fourth card but not before that is 0.2278

The probability of getting a heart on the fourth card can be calculated by multiplying the probability of not getting a heart in the first three cards by the probability of getting a heart on the fourth card.

The probability of not getting a heart in the first three cards can be calculated as follows:

(39/52) * (38/51) * (37/50) = 0.862

where 39/52 is the probability of not getting a heart on the first card, 38/51 is the probability of not getting a heart on the second card (given that no heart was drawn in the first card), and 37/50 is the probability of not getting a heart on the third card (given that no heart was drawn in the first two cards).

The probability of getting a heart on the fourth card can be calculated as follows:

13/49 = 0.265

where 13/49 is the probability of getting a heart on the fourth card (given that no heart was drawn in the first three cards).

So, the probability of getting a heart on the fourth card, but not before, can be calculated as:

0.862 * 0.265 = 0.2278

So, the chance of getting a heart on the fourth card, but not before, is approximately 22.78%.

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The mean is 76 and the standard deviation is 7.

What is mean and standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

In mathematics, particularly in statistics, there are various types of means. Each mean summarizes a particular set of data, frequently to help determine the overall significance of a particular data set.

Let, 95% of students in statistics scored between 62 and 90 points.

Here,

Mean = \(\frac{62+90}{2} = \frac{152}{2} = 76\)

And the standard deviation is,

SD = \(\frac{90-76}{2}= \frac{14}{2} = 7\)

Hence, the mean is 76 and the standard deviation is 7.

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Answer:

Step-by-step explanation:

its (x+1,y+-3)

The given problem involves a parallelogram with vertices P(0,-6), Q(5,-4), R(4,-7), and D(-1,-9). We are required to perform two transformations: a translation along the vector (7,0) and a 90ᵒ counterclockwise rotation about the point (3,-2).

a) Translation along the vector (7,0):

To perform a translation, we add the components of the vector to the coordinates of each vertex. For point P(0,-6), the translation will result in a new point P'(7,-6). Similarly, for points Q(5,-4), R(4,-7), and D(-1,-9), the translation will yield new points Q'(12,-4), R'(11,-7), and D'(6,-9), respectively. The translated parallelogram will have vertices P'(7,-6), Q'(12,-4), R'(11,-7), and D'(6,-9).

b) 90ᵒ counterclockwise rotation about the point (3,-2):

To perform a rotation, we need to determine the new coordinates of each vertex after rotating 90ᵒ counterclockwise about the given point. Using the rotation formula, the new coordinates of point P' will be (-y + 3, x - 2), resulting in P''(2, 3). Similarly, for points Q', R', and D', the rotation will yield new points Q''(3, 8), R''(0, 5), and D''(1, 6), respectively. The rotated parallelogram will have vertices P''(2,3), Q''(3,8), R''(0,5), and D''(1,6).

By performing the translation and rotation, we have transformed the original parallelogram into a translated parallelogram with vertices P'(7,-6), Q'(12,-4), R'(11,-7), and D'(6,-9), and a rotated parallelogram with vertices P''(2,3), Q''(3,8), R''(0,5), and D''(1,6).

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Step-by-step explanation:

not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).

I assume, we have the following points :

(-6, 1.5) (-3, 3)

(-3, 2) (1, 2)

(1, 1) (6, -9)

all 3 segments are lines with the basic function definition

y = ax + b

a is the slope of the line function and is always the factor of x.

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.

b is the y-intercept (the y value when x = 0).

the first segment goes from (-6, 1.5) to (-3, 3).

x changes by +3 units (from -6 to -3).

y changes by +1.5 or 3/2 units (from 1.5 to 3).

the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2

giving us the first part

y = (1/2)x + b

b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :

3 = (1/2)×-3 + b

3 = -3/2 + b

6/2 + 3/2 = b

9/2 = b

the full equation is

y = (1/2)x + 9/2 = (x + 9)/2

the second segment is a flat, horizontal line and is simply

y = 2

the third segment goes from (1, 1) to (6, -9) :

x changes by +5 units (from 1 to 6).

y changes by -10 units (from 1 to -9).

the slope of the line is -10/5 = -2

giving us the first part

y = -2x + b

b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :

1 = -2×1 + b

1 = -2 + b

3 = b

the full equation is

y = -2x + 3

The answer is in the pic below!

Answer:75.708L

Step-by-step explanation:

it’s the second one..................

Adrianna's distance from her house increases from 60 yards to 180 yards, her distance from the bus stop varies from 340 yards to 220 yards.

What is the straightforward meaning of distance?

Adrianna walks from her house to a bus stop that is 400 yards away.

as Adrianna walks to the bus stop the distance between Adrianna and bus stop will b decreasing .  

Further As Adrianna's distance from her house is  60 yards then she is 400 -60 = 340 yards away from bus stop

Also As Adrianna's distance from her house is  180 yards then she is 400 -180 = 220 yards away from bus stop .

As Adrianna's distance from her house increases from 60 yards to 180 yards, her distance from the bus stop varies from 340 yards to 220 yards.

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Answer:  \(\$1100\)

Step-by-step explanation:

Given

Principal amount is \(P=\$4000\)

Rate of interest \(R=5\%\)

Time period \(T=5\ yr\ \text{and}\ \text{6 months}\equiv 5.5\ yr\)

We know, Simple interest is

\(\Rightarrow S.I.=\dfrac{P\times R\times T}{100}\)

Putting values

\(\Rightarrow S.I.=\dfrac{4000\times 5\times 5.5}{100}=\$1100\)

Sara gets \(\$1100\) after 5 years and 6 months

Answer: -20

Step-by-step explanation: 16 x 1/4 - 4x 6

A person tosses a coin 15 times. In how many ways can he get 3 heads? The answer is 455 ways.

To find the answer, we can use the formula for combinations, which is:
C(n, k) = n! / (k! * (n-k)!)
Where n is the total number of tosses, and k is the number of heads we want to get.
In this case, n = 15 and k = 3, so we can plug these values into the formula:
C(15, 3) = 15! / (3! * (15-3)!)
C(15, 3) = 15! / (3! * 12!)
C(15, 3) = (15 * 14 * 13 * 12!)/ (3! * 12!)
C(15, 3) = 455
So there are 455 ways to get 3 heads when tossing a coin 15 times.

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Answer:

x= 21

Step-by-step explanation:

6x +12 + 2x = 180

8x= 168

x= 21

Answer:

C. Points L,J and K are collinear.

Step-by-step explanation:

Collinear points are points that lie on the same line. So in the picture only the points L,J and K are collinear.

Answer:

I think l j and k but I might be wrong.

Step-by-step explanation:

Answer:

Attached to this answer are some of the ways you could rewrite \(4*10^{-3}\)

The item in the Colleen's house that is most likely to meet the definition of a fixture is a tile.

A fixture is an item in a house that is permanently attached to a house with the use of a glue, nails or bolt. It would not be easy to remove fixtures from a house. Examples of fixtures are tiles, doors and windows.

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Answer:

hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Answer:

Step-by-step explanation:

80 divided into 40 =2

Don't worry, I gotchya :)

50% of 2006 is ⇒1003

2006% of 50 is ⇒1003

So 2006% of 50 + 50% of 2006 = 1003 + 1003

1003+1003 = 2006

Hope this helped you!

Answer:

y = -2x + 5

Step-by-step explanation:

Answer:

The Slope is -2

Step-by-step explanation: