Consider the given density curve.

A density curve is at y = StartFraction 1 Over 8 EndFraction and goes from negative 10 to negative 2.

What is the value of the median?

–10
–7
–6
–2

Picture posted below…

Consider The Given Density Curve.A Density Curve Is At Y = StartFraction 1 Over 8 EndFraction And Goes

Answers

Answer 1

Answer: -6

Step-by-step explanation:

[tex]\frac{-10-2}{2}=\boxed{-6}[/tex]

Answer 2

The Median of the density is -6.

An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).

It is clearly visible from the uniform density curve given in the question that the median of the population density is  -6.
Because the area to the left and right of the density curve is the same.

Hence, the Median of density is -6.

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Related Questions

Addison and Kelsey are running on a path modeled by x2 + y2 – 14x – 16y – 287 = 0, where the distance is in meters. What is the maximum distance between the runners at any given time?

20 meters
32 meters
40 meters
140 meters

Answers

Answer:

40 meters

Step-by-step explanation:

The maximum distance between the runners at any given time 40 meters. Therefore, option C is the correct answer.

Given that, Addison and Kelsey are running on a path modeled by x² + y² - 14x - 16y - 287 = 0.

What is a circle equation?

The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.

The standard equation of a circle with center at (x1,y1) and radius r is (x-x1)²+(y-y1)²=r²

Here, the circular path is modeled by x² + y² - 14x - 16y - 287 = 0

We complete the squares to place it in the standard format, thus:

x² - 14x + 49 + y² - 16y +64 = 287+49+64

⇒ (x-7)² + (y-8)² = 400

⇒ (x-7)² + (y-8)² = 20²

So, r² = 20²

⇒ r = 20 meters

Maximum distance = d = 2r

= 40 meters

The maximum distance between the runners at any given time 40 meters. Therefore, option C is the correct answer.

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What is the square root of -1? Complex numbers

Answers

Answer:

The square root of -1 is i

Step-by-step explanation:
"i" is the imaginary unit and represents the value of sqrt -1

Two trains leave station 416 miles apart. One train is traveling 90 miles per hour while the other is traveling 70 miles per hour. How long will it take the two trains to meet

Answers

Answer:

2.6 hours

Step-by-step explanation:

Let t be the time that the trains meet.

[tex]90t = 416 - 70t[/tex]

[tex]160t = 416[/tex]

[tex]t = 2.6[/tex]

there are 48 tables at a school.
3/8 of the tables are in the dining hall.
the rest are shaded equally between 5 classrooms.
how many tables are in the main hall​

Answers

Total: 48

DIning Hall: 48(3/8)=18

so theres 30 left for the classes

30/5(#of classes)=6 per class

Please help, will give the brainliest!


(J) 80 • 125

(K) (80+65) • 125

(L) (65 • 80) + (80 • 60)

M (65•80)+(80•60)

N (65•80)+ 1/2 (125 • 100)

Answers

Answer:

option N is the correct option, apply Formula of area of rectangle and triangle by splitting figure into 2 parts


Solve the compound inequality .
2w-2<-8 and 4w+3<11

Write the solution in interval notation. If there is no solution, enter 0

Answers

Answer: [tex](-\infty, -3)[/tex]

Step-by-step explanation:

[tex]2w-2 < -8\\\\2w < -6\\\\w < -3[/tex]

[tex]4w+3 < 11\\\\4w < 8\\\\w < 2[/tex]

So, the solution is [tex](-\infty, -3)[/tex]

in the game of​ roulette, a player can place a ​$ 7 bet on the number 28 and have a 1/38 probability of winning. if the metal ball lands on ​28, the player gets to keep the ​$7 paid to play the game and the player is awarded ​$245. ​ otherwise, the player is awarded nothing and the casino takes the​ player's ​$7. what is the expected value of the game to the​ player? if you played the game 1000​ times, how much would you expect to​ lose?

Answers

Answer: The player expects to lose 184.21 dollars.

=========================================================

Explanation:

X = net winnings in dollars

Ignore the "28" because it's really not that relevant here. All we care about is the probability 1/38 which is the probability of winning money. The probability of losing money is 1 - (1/38) = 37/38. Put another way: there's 1 way to win, and 37 ways to lose.

If the player wins, then they walk away with 7+245 = 252 dollars

If the player loses, then their "winnings" is -7

So either X = 252 or X = -7 are the only two options.

Let's form a table showing those options with their corresponding probabilities.

[tex]\begin{array}{|c|c|} \cline{1-2}X & P(X)\\\cline{1-2}252 & 1/38\\\cline{1-2}-7 & 37/38\\\cline{1-2}\end{array}[/tex]

Now multiply each X value and P(X) value across the rows.

252*(1/38) = 6.631579

-7*(37/38) = -6.815789

These values are approximate.

[tex]\begin{array}{|c|c|c|} \cline{1-3}X & P(X) & X*P(X)\\\cline{1-3}252 & 1/38 & 6.631579\\\cline{1-3}-7 & 37/38 & -6.815789\\\cline{1-3}\end{array}[/tex]

Add up the results of the third column

6.631579 + (-6.815789) = -0.18421

This represents the net winnings for any average spin of the wheel. The player unfortunately expects to lose, on average, about $0.18421 or 18.421 cents per spin.

Do this 1000 times and the player should expect to lose about

1000*(0.18421) = 184.21 dollars

Keep in mind that due to the random nature of roulette wheel, the player may get lucky or their luck may be worse than what is described. The idea is that over the long run, the average should be somewhat close to losing 184.21 dollars.

Another way to think of it could be to have 1000 players doing the same game (rather than have 1 person play the same game 1000 times). Some players may get lucky, while others may not get so lucky. But their collective average should be losing that $184.21

Which expression is equivalent?

Answers

Answer:

Last one/D 9^9/5/5^9/10

Step-by-step explanation:

41% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is​ (a) exactly​ three, (b) at least​ four, and​ (c) at most two. If​ convenient, use technology to find the probabilities.

Answers

The probability for part (a) is 0.131, for part (b) is 0.795, for part (c) is 0.0733.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

41% of adults say cashews are their favorite kind of nut.

P = 41% = 0.41

Q = 1 - P = 1 - 0.41 = 0.59

n = 2

From the binomial distribution:

[tex]\rm P(X = r) = C(n, r) P^r(1-P)^{n-r}[/tex]

a) Exactly​ three

[tex]P(X=3) = C(12, 3) (0.41)^3(0.59)^9[/tex]

P(X = 3) = 0.131

b) At least​ four:

P(X≥4) = P(X=4)+ P(X=5)+ P(X=6)+..............+ P(X=13)

[tex]\rm P(X\geq 4)=C(12, 4) (0.41)^4(0.59)^9+C(12, 5) (0.41)^5(0.59)^8+...............+C(12, 3)(0.41)^3(0.59)^9[/tex]

P(X ≥ 4) = 0.795

c) At most two:

P(X≤2) =P(X=0)+ P(X=1)+ P(X=2)

[tex]\rm =C(12, 0) (0.41)^0(0.59)^12+C(12, 1) (0.41)^1(0.59)^1^1+C(12, 2)(0.41)^2(0.59)^1^0[/tex]

P(X ≤ 2) = 0.0733

Thus, the probability for part (a) is 0.131, for part (b) is 0.795, for part (c) is 0.0733.

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Which of the following best describes the expression below when i = √-1?
3+4i
A. Complex number
B. Real number
C. Irrational number
D. Rational number

Answers

The answer is A. Complex number

In the following answer, why does 830 convert to 83000?

Answer:
Money borrowed from insurance company = $1000

Step-by-step explanation:

Let the money borrowed by her friend at 8% interest = x

Then the money borrowed by bank at 9% interest = 2x

Total money borrowed = $10,000

So, the money borrowed from insurance company = 10,000-(2x+x)

= 10,000-3x

Total interest for the first year = $830

We have the equation,

8%(x) + 9%(2x) +5% (10,000-3x) = 830

8x+18x+50,000-15x = 83,000

11x = 83000-50000

11x = 33,000

x = $3000

Then the money borrowed insurance company = 10,000-3x

= $1,000

Answers

Then the money borrowed insurance company is $1,000.

Money borrowed from insurance company = $1000

Let the money borrowed by her friend at 8% interest = x

Then the money borrowed by the bank at 9% interest = 2x

What is the total money?

Total money borrowed = $10,000

So, the money borrowed from the insurance company = 10,000-(2x+x)

= 10,000-3x

Total interest for the first year = $830

We have the equation,

8%(x) + 9%(2x) +5% (10,000-3x) = 830

8x+18x+50,000-15x = 83,000

11x = 83000-50000

11x = 33,000

x = $3000

Then the money borrowed insurance company = 10,000-3x

Then the money borrowed insurance company is $1,000.

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Figure ABCD is transformed to obtain figure A′B′C′D′:


DIAGRAM INCLUDED! 100 Points!

Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)

Part B: Are the two figures congruent? Explain your answer. (4 points)

Answers

Answer:

Part A

Reflect over the y-axis:  (x, y) → (-x, y)
A (-4, 4) → (4, 4)
B (-2, 2) → (2, 2)
C (-2, -1) → (2, -1)
D (-4, 1) → (4, 1)
Shift 4 units down:  (x, y-4)
(4, 4-4) → A' (4, 0)
(2, 2-4) → B' (2, -2)
(2, -1-4) → C' (2, -5)
(4, 1-4) → D' (4, -3)

Part B

Two figures are congruent if they have the same shape and size.  (They are allowed to be rotated, reflected and translated, but not resized).

Therefore, ABCD and A'B'C'D' are congruent.  They are the same shape and size as they have only be reflected and translated.

1. What is pi?

2. And why is it important?

Answers

Answer:

pi [π] is the ratio of a circle's circumference to its diameter, and it is constant [meaning it is always the case] for all circles.

{this is a long number, 3.141592653589793238... is not even the full length, but 3.14 [or 3.14159] is typically used for estimation}

The significance of pi is typically centered in math--it can be used to find values that we don't know of circles. There are other areas of math that have been related back to the value of pi--which is incredible, and genuinely relevant.

We can find pi in the shape of rivers, physics--including waves--DNA

[+ anywhere there is a circle]

hope this helps!! :)

Answer:

ratio of circle's circumference to diameter

it is constant

On a unit circle, Ø = 60°. Identify the terminal point and Tan Ø

Answers

The terminal points when the value of r is 1 will be 0.5 and 0.86 and the value of tan 60 will be 1.732.

What is angle measurement?

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given;

Ø = 60°

Let's assume the value of r = 1 units

The terminal points are;

x= rcosΘ

x=1 × cos 60°

x=0.5

y=rsinΘ

y=rsin60°

y = 0.86

The terminal points when the value of r is 1 will be 0.5 and 0.86.

The value of the tan for the given value of the angle;

Tan 60° = 1.732

Hence, the terminal points when the value of r is 1 will be 0.5 and 0.86 and the value of tan 60 will be 1.732.

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A Cepheid star is a type of variable star, which means that its brightness is not constant.

The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by

M = − 2.78 (log P) − 1.35,

where M is the absolute magnitude, or brightness, of the star, and P is the number of days required for the star to complete one cycle.

Use a calculator to solve each problem. Round your answers to the nearest hundredth.

What is the absolute magnitude of a star that has a period of 62 days?

Answers

A function assigns the values. The absolute magnitude of a star that has a period of 62 days is -6.3328.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by

M = − 2.78 (log P) − 1.35,

Given the absolute magnitude of a star that has a period of 62 days is,

M = − 2.78 (log 62) − 1.35

M = -6.3328

Hence, the absolute magnitude of a star that has a period of 62 days is -6.3328.

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The mean of 6 numbers is 17. Four of the numbers are 15, 17, 20, and 22. The remaining two numbers are each equal to x. Calculate the sum of the 06 numbers and the value of x.

Answers

Answer:

Sum of 6 no. = 102

X = 14

Let the unknown no. be X

mean= sum of all no. / no. of terms

17 = 15 + 17 + 20 + 22 + X+ X / 6

17 * 6 = 74 + 2X

102 - 74 = 2X

28 = 2X

28/2 = X

14= X

Fill in the blanks below.
Find the slope of the line passing through the points (8,5) and (8,-4).

Answers

Step-by-step explanation:

please mark me as brainlest

i give brainliest to first person who gets it correct

Answers

Answer:

(-4,-3)

Step-by-step explanation:

The point where those 2 equations intersect is (-4,-3)

At 50 minutes how far is the winning runner use ur equations

Answers

Answer:

3.5 km

Step-by-step explanation:

The pH can be calculated using the equation pH = –log(H+), where H+ is the hydronium ion concentration. Find the hydronium ion concentration of a particular soda if the pH level is 2.3.​

Answers

Answer:

Step-by-step explanationp :

ph =lo 4

The earnings for a cashier at the local grocery store varies directly with how many hours she works. If the cashier is paid $524 for a 40 hour work week, how many hours would it take for him to make 720.50? Enter the number only.

Answers

Using proportions, it is found that it would take 55 hours for him to make $720.50.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

He is paid $524 for a 40 hour work week, hence per hour he earns?

r = 524/40 = $13.1.

The amount of hours he would need to make $720.50 is given by:

h = 720.50/13.1 = 55.

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Based on the circle graph,how many pounds of milk and eggs does the average American consume each year?PLEASE EXPLAIN IMAGE IS PROVIDED
E.300
F.368
G.460
H.552

Answers

About 492 pounds of milk and egg were consumed each year

Pie charts and percentages

Given the following parameters from the chart

Total consumption = 1640 pounds per person

The percentage of milk and egg = 100 -(38 + 10 + 10 +8 + 4)

The percentage of milk and egg = 30%

Determine the amount consumed each year

Amount of milk and egg consumed = 30% of 1640

Amount of milk and egg consumed = 492 pounds

Hence about 492 pounds of milk and egg were consumed each year

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1
2
3
at
4
927
5
6
Which graph represents g(x)?
7
8
The graph of f(x) = x² is translated to form g(x) = (x - 5)² + 1. What does the graph look like?
6
10

Answers

Do you have a picture

Question 7 of 10
Classify the following triangle. Check all that apply.

Answers

Answer:

A,C,E

(if you find a better answer choose that.)

Step-by-step explanation:

This one has two acute angles and one obtuse.

This one is a scalene.

So, tick A,C,E

\Triangle X Y Z is shown. Angle X Z Y is 63 degrees. The length of X Z is 2.7 and the length of X Y is 2.8.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

Which is the approximate measure of angle Y? Use the law of sines to find the answer.

52°
59°
64°
67°

Answers

That would be the because if you chose it really wouldn’t make

There are nine baseball players in the cafeteria The number of baseball players is one less than twice the number of golfers find the number of golfers

Answers

Using a system of equations, it is found that the number of golfers in the cafeteria is of 5.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: Number of baseball players.Variable y: Number of golf players.

The number of baseball players is one less than twice the number of golfers, hence:

x = 2y - 1.

Since x = 9:

9 = 2y - 1

2y = 10

y = 5.

There are 5 golfers in the cafeteria.

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Find the equation of a line containing the points (−2,−4) and (1,−3).

Answers

Using the points, we can make a system of equations:
-4 = m(-2) + b
-3 = m(1) + b —> -3 = m + b —> -3 - m = b


Substitute (-3 - m) for b:
-4 = m(-2) + (-3 - m)
-4 = -2m -3 - m
-1 = -3m
1/3 = m


Plug in the solved m value to solve for b:
-4 = (1/3)(-2) + b
-4 = -2/3 + b
-3 1/3 = b

Write your final equation:
y = 1/3x - 10/3

in a study of birth orders and intelligence, IQ test were given to 18 and 19 years old men to estimate the size of difference, if any, between the main IQs of firstborn sons and second born sons. The following data for 10 firstborn sons and 10 second born sons are consistent with the means and standard deviation's reported in the article. It is reasonable to assume that the samples come from populations that are approximately normal. First born numbers are 107, 113, 84, 126, 99, 95, 98, 109, 91, 90. Second born numbers are 112, 92, 102, 86, 97, 106, 105, 116, 109, 95. construct a 95% confidence interval for the difference in mean IQ between first born and second born sons. Let them one denote the main IQ of firstborn sons.

Answers

In a study of birth orders and intelligence, IQ tests were given to 18 and 19 years old men to estimate the size of the difference, we have that  [tex]|t|=0.618\leq t_c =2.101[/tex] and for this reason, we cannot reject the null hypothesis.

What are the Test Statistics?

Null and Alternative Hypotheses

[tex]H_o: \mu_{1} = \mu_{2}\\\\Ha: \mu_1 \neq \mu_2 .[/tex]

Since the population standard deviations are unknown, we will apply a t-test on the means of the two populations, using two independent samples.

The degrees of freedom are df = 18, and the significance threshold is set at alpha = 0.05, based on the data presented. If we assume that the population variances are the same, we can calculate the degrees of freedom in this way:

The rejection region for this two-tailed test is R = \{t : |f| > 2.101}

Therefore the Test Statistics is

[tex]t= \frac{X 1 -X 2 }{\frac{\sqrt{ (n_1 -1)s_1 ^ 2 +(n_2 -1)s_2 ^2}} {n_1 +n_2 -2} (( 1/n_1 + 1 n_2 )}}[/tex]

[tex]t= \frac{X 1 -X 2 }{\frac{\sqrt{ (n_1 -1)s_1 ^ 2 +(n_2 -1)s_2 ^2}} {n_1 +n_2 -2} (( 1/n_1 + 1 n_2 )}}[/tex]

t=0.618

In conclusion. we have that  [tex]|t|=0.618\leq t_c =2.101[/tex]

For this reason, we cannot reject the null hypothesis.

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On a coordinate plane, a dashed solid line has an equation of y less-than five-thirds x + 1. It has a positive slope and goes through (negative 3, negative 4) and (0, 1). Everything to the right of the line is shaded.
Which linear inequality will not have a shared solution set with the graphed linear inequality?

y < Five-thirdsx – 2
y < Negative five-thirdsx + 1
y > Five-thirdsx + 2
y > Negative five-thirdsx + 2

Answers

The inequality is represented by y < 5/3(x+1)

Use the information about the straight line and find the equation of the line.

Given coordinates (-3,-4) and (0,1), we can find the slope

Slope,  

Change in y = y2 – y1 = 1-(-4) = 5

Change in x = x2 – x1 = 0-(-3) = 3

Therefore, Slope (m) = Change in y / Change in x = 5/3

Equation of line using m = 5/3 and points (0,1) and (x, y) in form of y = mx + c

Y – 1/ X – 0 =5/3

3(Y-1) = 5(X)

3Y -3 = 5X

3Y = 5X + 3

Y = 5X + 3/3

Y = 5/3(X + 1)

To find the inequality take a point in the shaded region and check it in the above equation.

Given Options

a. y < Five-thirds x – 2

b. y < Negative five-thirds x + 1

c. y > Five-thirds x + 2

d. y > Negative five-thirds x + 2

 Let’s take points (-3,-4) for verification

  Option a: y < 5/3 (x-2)

                     -4 < 5/3(-3-2)

                      --4 < -3.33

-4 is less than -3.33

Thus option a is in the shaded region

 Option b: y < -5/3 (x+1)

                     -4 < -5/3(-3+1)

                      --4 < 3.33

-4 is less than 3.33

Thus option a is in the shaded region

 Option c: y > 5/3 (x+2)

                     -4 > 5/3(-3+2)

                      --4 > -1.67

-4 is NOT GREATER than -1.67

Thus option c is NOT in the shaded region

Option d: y > -5/3 (x+2)

                     -4 > - 5/3(-3+2)

                      --4 > 1.67

-4 is NOT GREATER than 1.67

Thus option d is NOT in the shaded region

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Answer:

y > Five-thirdsx + 2

Step-by-step explanation:

If AABC= ADEF, which congruences are true by CPCTC? Check all that
apply.

Answers

∠A ≅ ∠D , BC≅ EF , AC ≅   DF  , option B , C , F are the correct answer.

What is CPCTC ?

CPCTC stands for corresponding parts of congruent triangles are congruent .

This means when two triangles are congruent then the corresponding sides are also congruent.

In the given triangles , Δ ABC ≅ ΔDEF

∠A ≅ ∠D

BC≅ EF

AC ≅   DF

Therefore option B , C , F are the correct options

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Which item best completes this list?Elements of the Western Economy------------------------------------------------------Natural Resources -Agriculture-Some Slave Labor- ???A. High TariffsB. ManufacturingC. Ship BuildingD. Cotton Production On a coordinate plane, an absolute value graph has a vertex at (10, 6).The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing?(, 6) (, 10)(6, )(10, ) Which level or levels of moral reasoning are most commonly found among adults in their 20s and 30s? In the opposite figure, the work done by the force F to push the box upwards from the ground to the top of the inclined plane is .......... a) 300 J c) 600 J (b) 450 J d) 750 J F=100 N CamScanner Wa 3m In the opposite figure , the work done by the force F to push the box upwards from the ground to the top of the inclined plane is .......... a ) 300 J c ) 600 J ( b ) 450 J d ) 750 J F = 100 N CamScanner Wa 3m Market owner Lucy buys 12 cans of baby formula off of Mark--Lucy plans to sell them in her market even though she knows (or should have known) Mark got the cans of formula by illegal means. Lucy has committed the crime of: Pls I need help with my homework !!!!!!! Research Windsor Castle. Wholives there and what is it like?Can you find it on a map? Write 3x^2+12x+20 in the form a(x+b)^2+c Section B, Q5 please answer, it is urgent On a number line, 6.3 would be located ______. Choose all answers that make a true statement. 6.3--|----|----|----|----|----|----|----|----|----|--A. between 6.2 and 6.4B. to the left of 6.42C. to the right of 6.45D. to the right of 6.5 In an effort to duplicate the stressors involved with working at a large company, researchers go to great effort to ensure that the stressor they use and the laboratory setting they create is similar in all respects (e.g., noise, temperature, room setup) to that of a major multinational corporation. The researchers are attempting to increase: Express the radical using the imaginary unit, i sqrt{-27} Sam wants to measure the height of a tree. She walks 100 feet from the base of the tree and looks up. The angle of elevation from the ground to the top of the tree is 33. How tall is the tree? Round your answer to the nearest hundredth. a car travels along the highway to little rock a steady speed. when it begins it is 280 miles after 4 hours it 100 reaction of cysteine and NaOH rewrite the equation y-8=2 into slope form What are Riverine Islands? Accumulation of blood in the abdominal cavity will most likely cause: Question 2 of 10 Which of these literary devices do all of the poems in the reading use? In retaliation for the boston tea party, the british passed laws to punish the colonists, including increasing taxes. What effect did these measures have on colonists?. What are the coordinates for point b? a. (7, 0) b. (0, 7) c. (0, 8) d. (1, 7)