Consider the given density curve.

A density curve is at y = one-third and goes from 3 to 6.

What is the value of the median?

3

4

4.5

6

Picture posted below

Consider The Given Density Curve.A Density Curve Is At Y = One-third And Goes From 3 To 6.What Is The

Answers

Answer 1

Answer: 4.5

Step-by-step explanation:

[tex]\frac{6+3}{2}=\boxed{4.5}[/tex]

Answer 2

We want to find the median for the given density curve.

The value of the median is 4.5. ({3+6)/2}

Let's see how to solve this.

First, for a regular set {x₁, ..., xₙ} we define the median as the middle value.

The difference between a set and a density curve is that the density curve is continuous, so getting the exact middle value can be harder.

Here, we have a constant density curve that goes from 3 to 6.

Because it is constant, the median will just be equal to the mean, thus the median is the average between the two extreme values.

Remember that the average between two numbers a and b is given by:(a + b)/2

So we get: m = (6 + 3)/2 = 4.5

So we can conclude that the value of the median is 4.5, so the correct option is the second one, counting from the top.

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Related Questions

You started this year with $413 saved and you continue to save $21 per month.
Write an equation to model this situation (use m for months and s for savings)

Answers

Answer:

y = 21x + 413

Step-by-step explanation:

Use y = mx + b

m represents the slope which in this case is 21.

b represents the y - intercept which in this case is 413.

Now, just fill in the variables.

y = 21x + 413

Hope this helps!

Select The correct answer.
Segment AB Is tangent to the circle at point B. Which equation describes the relationship between the tangent and secant line segments?
B
D
OA
(AD)² = (AC) (AB)
OB. (AB)2 = (AC)(CD)
OC. (AB)2 = (AC)(AD)
OD. AB=(AC + AD)

Answers

According to the tangent-secant theorem, the relationship of the tangent and secant in the given circle is: C. AB² = (AC)(AD).

What is the Tangent-Secant Theorem?

The secant tangent theorem defines the relationship between the lengths of the secant and the tangent line segments when they meet outside a circle.

Based on the tangent-secant theorem, using the image given, the equation that describes the relationship of the tangent and secant in the given circle is:

C. AB² = (AC)(AD)

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Answer: C

Step-by-step explanation:

got it right on my test!!

Need help with this geometry question

Answers

2) [tex]\overline{EK} \cong \overline{KG}, \overline{HK} \cong \overline{KF}[/tex]

3) Opposite sides of a parallelogram are congruent.

4) [tex]\triangle EF \text{ }K \cong \triangle GHK[/tex]

What system of equations would you use to solve the problem below?
A test is worth 100 points. Multiple-choice questions are worth 3 points and
short-answer questions are worth 5 points. If the test has 28 questions, how
many multiple-choice questions are there?

Answers

Let x be multiple-choice questions
Let y be short-answer questions

x + y = 28

3x + 5y = 100

Tacoma's population in 2000 was about 200 thousand, and has been growing by about 9% each year. If this continues, what will Tacoma's population be in 2019?

Answers

The population of Tacoma in 2019 would be 1,028,332.

What will be the population in 2019?

The population can be represented with an exponential equation that has the form:

FV = P (1 + r)^n

FV = Future populationP = Present population  R = rate of growth N = number of years

200,000 (1.09)^19 = 1,028,332.

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[tex] \bold{(10x - 6x³ + 8x²) - (5x² + 12x³ - 4)​}[/tex]​

Answers

Answer:

[tex]\boxed{\sf -18x^3+3x^2+10x+4}[/tex]

Explanation:

[tex]\rightarrow \sf (10x - 6x^3 + 8x^2) - (5x^2 + 12x^3 - 4)[/tex]

distribute

[tex]\rightarrow \sf 10x - 6x^3 + 8x^2 - 5x^2 - 12x^3 + 4[/tex]

collect terms

[tex]\rightarrow \sf -6x^3-12x^3+3x^2+10x+4[/tex]

add similar terms

[tex]\rightarrow \sf -18x^3+3x^2+10x+4[/tex]

Answer:

[tex]-18x^3+3x^2+10x+4[/tex]

Step-by-step explanation:

Given:

[tex](10x-6x^3+8x^2)-(5x^2+12x^3-4)[/tex]

Apply the rule (a) = a:

[tex]\implies 10x-6x^3+8x^2-(5x^2+12x^3-4)[/tex]

[tex]\textsf{Use the distributive law} \quad -(a+b)=-a-b:[/tex]

[tex]\implies 10x-6x^3+8x^2-5x^2-12x^3-(-4)[/tex]

Apply the rule -(-a) = a:

[tex]\implies 10x-6x^3+8x^2-5x^2-12x^3+4[/tex]

Collect like terms:

[tex]\implies -6x^3-12x^3+8x^2-5x^2+10x+4[/tex]

Combine like terms:

[tex]\implies -18x^3+3x^2+10x+4[/tex]

question is attachment

Answers

The degree of dispersion in your data collection is indicated by variance.
It is given by the formula:
[tex]\overline{d}= \sum_{i=1}^{i=n}\frac{|x_i-\overline{x}|^2}{n}[/tex]

To determine the values of a certain set of scattered data, the standard deviation formula is utilized. The dispersion of the quantities or data from the mean is how the standard deviation is simply defined. The conclusion drawn from a lower standard deviation is that the results are fairly near to the average. Higher values, on the other hand, indicate a significant dispersion from the mean. The standard deviation number can never be negative, it should be positive.

It is given by the formula:

[tex]s_d = \sqrt{\sum_{i=1}^{i=n}\frac{|x_i-\overline{x}|^2}{n}} =\sqrt{\overline{d}}[/tex]

We have that the mean of the values is:  

at 8 AM [tex]\overline{x}=\frac{97.9+99.3+97.9+97.6+97.4}{5}=98.02[/tex]

at 12 AM [tex]\overline{x}=\frac{98.5+99.7+98+97.4+97.6}{5}=98.24[/tex]

Using the above definitions we have that

at 8 AM [tex]\overline{d}=\frac{(98.02-97.9)^2+(98.02-99.3)^2+(98.02-97.9)^2+(98.02-97.6)^2+(98.02-97.4)^2}{5}=0.4456[/tex]

[tex]s_d=\sqrt{\overline{d}}=\sqrt{0.4456}=0.6675[/tex]

at 12 AM

[tex]\overline{d}=\frac{(98.24-98.5)^2+(98.24-99.7)^2+(98.24-98)^2+(98.24-97.4)^2+(98.24-97.6)^2}{5}=0.6744[/tex]

[tex]s_d=\sqrt{\overline{d}}=\sqrt{0.6744}=0.8212[/tex]

In general, [tex]\mu_d[/tex] represents the mean of the differences from the population of matched data.

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Which expression
is equivalent to 4(x+2)?

Answers

Answer:

[tex]\huge\boxed{\sf 4x + 8}[/tex]

Step-by-step explanation:

Given expression:

= 4(x + 2)

Distribute

= 4x + 8

[tex]\rule[225]{225}{2}[/tex]

Detailed Answer:

= 4(x + 2)
= 4 * x + 4 * 2
=> 4x + 8

If 4x + 8 is an Option, then that is the Correct Answer. Since options are not given, I don’t know which option corresponds to this Answer.

Please Hurry !!!!!!!A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? Select two options.

(–2, 0) and (2, 5)
(–4, 5) and (4, –5)
(–3, 4) and (2, 0)
(1, –1) and (6, –5)
(2, –1) and (10, 9)

Answers

Answer:

(–2, 0) and (2, 5)

(2, –1) and (10, 9)

Step-by-step explanation:

1. Find the slope of the what is considered perpendicular to -4/5. To do this, we simply use the reciprocal and multiply it by -1. Therefore, a perpendicular line would have a slope of 5/4.

2. Next, we can plug each of the ordered pairs into [tex]\frac{y2-y1}{x2-x1}[/tex] to see whether or not they have a slope of 5/4. We must do this to all of the ordered pairs until we find 2. Keep in mind that coordinates give you (x, y) in that order, so don't get the x's and y's confused. Additionally, it does not matter which coordinate goes first, just make sure that you get y2 and x2 from the same coordinate, and y1 and x1 from the same coordinate.

[tex]\frac{0-5}{-2-2}=\frac{-5}{-4}=\frac{5}{4}[/tex] The first answer![tex]\frac{5-(-5)}{-4-4}=\frac{0}{-8}[/tex] Not an answer[tex]\frac{4-0}{-3-2}=\frac{4}{-5}[/tex] Not an answer[tex]\frac{-1-(-5)}{1-6} =\frac{4}{-5}[/tex] Not an answer[tex]\frac{-1-9}{2-10} =\frac{-10}{-8}= \frac{5}{4}[/tex] The second answer!

6. Divide:
6x²+7x-2/3x-1
using Long Division.

Answers

Step-by-step explanation:

3x-1) 6x^2 + 7x -2 ( 2x+3

-6x^2 -2x

+

0 + 9x -2

- 9x -3

+

1


Which graph shows the solution to the system of linear inequalities?
y≥ 2x + 1
y≤2x-2

Answers

Answer:

g

Step-by-step explanation:

jjnnkvigific and it's a boy f a horse y

how many ml of 40 percent acid should be added to pure acid to make 70ml of 65 percent acid?

Answers

The amount of the acid will be equal to 113.75 Ml.

What is concentration?

Concentration in chemistry is calculated by dividing a constituent's abundance by the mixture's total volume.

In chemistry, to solve this kind of exercise, dilutions, and concentrations are common to use the following equation

C1 x V1 = C2 x V2

V1 refers to volume 1, in this case, is 70mL because is the quantity I have, the solution I can use to obtain another solution. C1 refers to the concentration of the solution I also have, in this case, 65%.

C2 and V2 refer to the volume and concentration of the solution I am looking for. So, if want to know V2, which is the volume I need to add, the only thing to do is find V2 in the equation:

V2 = ( C1 x V1 ) / C2

V2 = ( 65% x 70mL) / 40%

V2 = 113.75 Ml.

                                               

Therefore the amount of the acid will be equal to 113.75 Ml.  

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What is the domain of the function represented by the list of ordered pairs?
(0, 2), (-3, 6), (4, 8), (2, 5), (-2, 4)

Answers

Answer:

D: (-3,4).

Step-by-step explanation:

There is really no need to solve it. Plot those points onto a graph and draw lines. I have done it on desmos. Looking at the x-axis to find the domain. From the left to right x-axis we can see that the domain should be D: (-3,4).

Trigonometry problem

Answers

Answer:

Hi! So, I'm pretty sure the answer is 1 (rounded).

However, I'm not sure if you're trying to find the answer to COS pi/10 or "the function in terms of cofunction of a complementary angle" which I'm not too sure about. I've given you the answer to the first part if this was not the right way to read the problem I deeply apologize.

Step-by-step explanation:

Using any calculator with the Cos, Sin, and Tan function, you can input

COS (pi / 10) which equals .9999849678 (which you can round as needed)

The complement of cosine is sine. Cos (A) = sin(pi/2 - A)

So cos(pi/10) = sin(pi/2 - pi/10) = sin (5pi/10 - pi/10) = sin (4pi/10) = sin(2pi/5)

Hope this helps!

(x^4) (3x^3-2) (4x^2+5x)

Answers

Answer:

12x^7+15x^6

Step-by-step explanation:

Change 3x^3-2 to 3x

(x^4)(3x)(4x^2+5x)

Multiply your single terms

(3x^5)(4x^2+5x)

Then distribute

12x^7+15x^6

A manufacturer makes two type if products X and z at each if two different locations A and B. the materials used to make each if the products are steel, glass and plastic. suppose it takes three units of steel, one unit of glass and two units of plastic to make one unit of product X and four units of steel and one half units of glass and three units of plastic to make one unit of product Z. suppose further that steel, glass and plastic cost birr 10, 2, and 3 per unit respectively at location A. at location B steel, glass abd plastic cost 9,3 and 4 per unit respectively. using matrix algebra. find the material cost of making one of each product at each of the two locations.​

Answers

Using matrix algebra, the material cost of making one of each product at each location is as follows:​

                       Product X    Product Z

Location A        birr 38          birr 50

Location B        birr 38          birr 49.5

What is matrix algebra?

Matrix algebra involves the arrangement of numbers in a rectangular array.

Matrices are arranged in columns and rows to express some mathematical values.

Data and Calculations:Matrix O: Materials Requirement Per Unit

                      Steel    Glass    Plastic

Product X         3            1             2

Product Z         4          0.5           3

Matrix P: Materials Cost Per Unit

                      Steel    Glass    Plastic

Location A      10           2           3

Location B       9           3           4

Matrix R: (O x P) Material Cost of Product X

                      Steel    Glass    Plastic   Total

Location A     30           2           6          38

Location B     27           3           8          38

Matrix R: (O x P) Material Cost of Product Z

                      Steel    Glass    Plastic   Total

Location A     40          1             9          50

Location B     36          1.5         12         49.5

Thus, Product X costs birr 38 at locations A and B, respectively, while Product Z costs birr 50 and birr 49.5 at locations A and B, respectively.

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The scatter plot shows a correlation between the cost of a helmet and the consumer rating.

The line of regression models that correlation.

Enter a number to complete each statement.

Answers

Answer:

1. 65

2. 52

3. 13

Step-by-step explanation:

For these answers, we can look at the graph:

Question 1:

For the helmet that costs 35 dollars, we look at the x-axis until we find the helmet that aligns with 35.

Then, we look at the y-axis and find the blue dot. The blue dot is the actual consumer rating that was recorded, NOT the red line. The red line is the predicted consumer rating in correlation to the price.

Hence, the consumer rating is 65.

Question 2:

For this, we can look back at the graph and apply the same concept as above. Notice how the 65 plot is 13 points away from the point predicted by the red line.

Therefore, 65 - 13 = 52

Question 3:

Just like the last two questions, we can look at the graph for this. The green line gives us this answer flat out, displaying the distance from the actual rating to the predicted rating.

Hence, the actual consumer rating was 13 above the predicted rating.

On a certain day, the high temperature in city A was 93° F. On the same day, the high temperature in city B was -6° F. What was the difference in temperature between city A and city B?

Answers

Answer:

99°F

Step-by-step explanation:

The high temperature in city A was 93° F. On the same day, the high temperature in city B was -6° F.

The difference in temperature will be:

= 93 - (-6)

= 93 + 6

= 99

Write the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x-y=7.

Answers

We can rewrite the equation of the given line to be in slope-intercept form as follows.

[tex]x-y=7\\x=y+7\\y=x-7[/tex]

Thus, the slope of the given line is 1.

Since parallel lines have equivalent slopes, the slope of the line we want to find is also 1.

Substituting into point-slope form,

[tex]y-0=1(x-1)\\\\\boxed{y=x-1}[/tex]

Simplify: √64(6z-7)² (square root over entire equation)

Answers

[tex]\sqrt{64(6z-7)^2}=\sqrt{64}\cdot\sqrt{(6z-7)^2}=8\cdot |6z-7|=8|6z-7|[/tex]

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.54 and a standard deviation of 0.42. Using the empirical rule, what percentage of the students have grade point averages that are less than 2.96? Please do not round your answer.

Answers

Using the Empirical Rule, it is found that 84% of the students have grade point averages that are less than 2.96.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, 2.96 is one standard deviation above the mean. We have that:

The normal distribution is symmetric.Of the 50% of the measures below the mean, all are below 2.96.Of the 50% of the measures above the mean, 68% are below 2.96.

Hence the percentage is given by:

P = 50% + 0.68 x 50% = 50% + 34% = 84%.

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Which pair of expressions are equivalent using the Associative Property of Multiplication?

4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
4(2a ⋅ 5) = 8a ⋅ 20
4(2a ⋅ 5) = (2a ⋅ 5) ⋅ 4
4(2a ⋅ 5) = 4 ⋅ 2a ⋅ 5

Answers

Answer:

4 (2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Step-by-step explanation:

Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36

Answers

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

[tex]\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;[/tex]

it is clear, the required constant is 12 (12 per hour).

Please explain and i need it urgently... One fifth of marked price of a watch is given as discount. What is the discount percent?

Answers

Answer:

1/5 times 100= 20%

Step-by-step explanation:

brainliest????????!!!!!!!

For a fair coin, suppose you toss the coin 100 times.

What is the probability of getting more than 66 heads?

Answers

Using the normal distribution, it is found that there is a 0.0005 = 0.05% probability of getting more than 66 heads.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

For the binomial distribution, the parameters are given as follows:

n = 100, p = 0.5.

Hence the mean and the standard deviation of the approximation are given as follows:

[tex]\mu = np = 100(0.5) = 50[/tex].[tex]\sigma = \sqrt{np(1-p)} = \sqrt{100(0.5)(0.5)} = 5[/tex]

Using continuity correction, the probability of getting more than 66 heads is P(X > 66 + 0.5) = P(X > 66.5), which is one subtracted by the p-value of Z when X = 66.5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{66.5 - 50}{5}[/tex]

Z = 3.3

Z = 3.3 has a p-value of 0.9995.

1 - 0.9995 = 0.0005.

0.0005 = 0.05%

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consider the graph of y= f(x), shown below

Answers

Answer: The domain is [tex]\boxed{(-4, 4)}[/tex] and the range is [tex]\boxed{[-4, 4]}[/tex].

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Jaira is completing construction of a regular hexagon inscribed in a circle, as shown below: What should be the next step in her construction?

Answers

Jaira is completing the construction of a regular hexagon inscribed in a circle, as shown below: The next step in her construction should be:

construct another pont E by placing her compass at the locus DRepeat the process to get 6 more points on the given circle then join all of them together.

What is a regular hexagon?

A closed polygon with six equal sides and six equal angles is called a regular hexagon.

Thus, the steps highlighted above will help Jaira complete her construction.

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Find the range of the function.
f(x) = 10-x²
a. [5,00)
c. (-∞0, 10]
b. (-∞, -1) U [0, 00)
d.
Please select the best answer from the choices provided
(-∞, -1) U [∞o, 10)

Answers

Answer: hard to tell but I think D is correct (−∞,10],{y| y ≤ 10}

Step-by-step explanation:

Range:

(−∞,10] or {y| y ≤ 10}

because there is a vertex at (0, 10)

(found this by using -b/2a giving us 0 for x coord and plugging in 0 to 10-x² giving us (0, 10)

Then understanding since -x² is negative, the parabola goes down. And we know that the range is anything less or equal to 10

3 more than half a number​

Answers

Answer
1/2n + 3
Or
1/2x + 3

Answer:

3 + a/2

Step-by-step explanation:

3 + a/2

A rectangular garden is 15 ft longer than it is wide. Its area is 450
ft^2
. What are its dimensions?

Width equals =------

Length equals=-----

Answers

Answer:

Width= 15ft and Length= 30 ft

Step-by-step explanation:

Length=15+w

Area=450 ft square

(15+w)(w)=450

w²+15w=450

w²+15w-450=0

(w+30)(w-15)=0

w= -30, 15

width can't be negative so possible answer is 15 ft

Length = 15+15=30 ft

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How he announced that he would not be running in the next elections. My father had returned only to discover that the liberalization was a hoax staged so that the regime could keep the goodwill and dollars of the United States.My father and mother were once again trapped in a police state.How do the passages work together to develop a central idea?The passages show how Alvarezs family was affected by the parsley massacres when they returned.The passages show how Alvarez and her family were tricked into returning to the Dominican Republic.The passages show how people often did not know or understand the extent of Trujillos deceit.The passages show how the events of Trujillos dictatorship are still not fully understood today. Considering only the values of for which sintanseccot is defined, which of the following expressions is equivalent to sintanseccot?Select the correct answer below:seccottancottantancscsec Read the passage from "The Caged Bird.But a caged bird stands on the grave of dreamshis shadow shouts on a nightmare screamhis wings are clipped and his feet are tiedso he opens his throat to sing.Read the passage from Shakespeares "Sonnet 29.When, in disgrace with fortune and men's eyes,I all alone beweep my outcast state,And trouble deaf heaven with my bootless cries,And look upon myself and curse my fate,In both poems, what does the connotation of the underlined language imply? Regarding the factors of true labor: distortion of the myometrium increases the sensitivity of the skeletal muscle layers. the fetal pituitary releases oxytocin in response to estrogens. placental estrogens decrease the sensitivity of the muscle cells of the myometrium. maternal oxytocin release is inhibited by high estrogen levels. In one month, a farmer produces 300 pounds of corn. In thefollowing month he produces 35% more. How many pounds of corndoes he produce in the second month? the range of diameters and luminosities displayed by elliptical galaxies is ____. What environmental impacts does green roofs and double window glazing have? Question 6 of 10sin 30 = 3/2 and cos 30 = 1/2O A. TrueOB. False Feeling ______ require(s) understanding of self and others. If f(x) = x - 2x, find:f(6) = [?]will give brainliest answer !! what is a gregor samsa's proffession in " the metamorphosis"? A boat is heading towards a lighthouse, where Mason is watching from a verticaldistance of 122 feet above the water. Mason measures an angle of depression to theboat at point A to be 16. At some later time, Mason takes another measurement andfinds the angle of depression to the boat (now at point B) to be 66. Find the distancefrom point A to point B. Round your answer to the nearest foot if necessary. What are the solution(s) to the quadratic equation x - 25 = 0?hO x=5 and x =-55x = 25 and x = -25x = 125 and x = -125Ono real solutions How does this image give a realistic portrayal of life in the 1300s? The ratio of the number of laps Andy swam to the number of laps Ben swamon the first day of a swimming lesson was 5: 6. The ratio of the number oflaps Andy swam to the number of laps Ben swam on the second day of theswimming lesson was 9: 5. If Ben swam 33 laps on both days, how many lapsdid Andy swim on the second day of the swimming lesson? BRAIN WARM UP MATHS? which wifi standards use the 2.4ghz frequency