4. A researcher is interested in understanding if there is a difference in the proportion of undergrad and grad students at UCI who prefer online teaching to in person teaching, at the a = 0.05 level.

Answers

Answer 1

The null and alternative hypotheses can be described  as shown below:

Null hypothesis :

p1 = p2

Alternative hypothesis:

p1 ≠ p2

How do we explain?

The Null hypothesis has it that there exists no difference in the proportion of undergrad and grad students at UCI that prefer online teaching to in-person teaching.

Therefore p1 = p2

On the other hand, the alternative hypothesis :

says there also exists a difference in the proportion of undergrad and grad students at UCI that  prefer online teaching to in-person teaching.

p1 ≠ p2

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#complete question:

A researcher is interested in understanding if there is a difference in the proportion of undergrad and

grad students at UCI who prefer online teaching to in person teaching, at the α = 0.05 level. They take

2 samples, first, a sample of 300 undergrad students. The second, is a sample of 172 grad students. Of

the undergrads, 186 said they preferred online lectures, and of the graduate students, 104 said that they

prefer online lectures. Let p1 = the proportion of undergrad students who prefer online class and p2 =

the proportion of grad students who prefer online lectures.

(a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret

them in context of the problem).


Related Questions

Help me with this plz

Help me with this plz

Answers

make each fraction have a denominator of 6

4x - 6 15 - 3x
———- + ———— = 3
6 6

x + 11
——— = 3
6


x + 11 = 18
x = 7

Answer:

Make each fraction have the denominator of 6! That should clear some things up.

Step-by-step explanation:

Kurt is starting a business selling handmade necklaces. He has decided to invest an initial amount of $20 for advertising, and materials cost $7 for each necklace he makes. Kurt can sell his creations for $9 per necklace. Once he makes and sells a certain number of necklaces, he will break even, with identical expenses and sales. How many necklaces would that take? What would the total expenses and sales be then?

PLEASE ANSWER FAST WILL MARK BRAINLIEST!!!

Answers

The number of necklaces at the break-even point will be 10.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Kurt is beginning a business selling high-quality neckbands. He has chosen to contribute an underlying measure of $20 for publicizing, and materials cost $7 for every accessory he makes. Kurt can sell his manifestations for $9 per piece of jewelry.

Let 'x' be the number of necklaces. Then the equations are given as,

Cost = 7x + 20

Sell = 9x

The number of necklaces at the break-even point is calculated as,

Sell = Cost

9x = 7x + 20

2x = 20

x = 10

The number of necklaces at the break-even point will be 10.

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Use a formula to find the surface area of the figure. 13 in. T I ***** 11 in drawing not to scale 30 in. O 287 in. 2 858 in. O 574 in.

Use a formula to find the surface area of the figure. 13 in. T I ***** 11 in drawing not to scale 30

Answers

ANSWER:

The surface area of the figure is 574 in^2

STEP-BY-STEP EXPLANATION:

We have that the surface area of a rectangular prism is given by the following formula

\(\begin{gathered} A=2\cdot l\cdot w+2\cdot l\cdot h+2\cdot w\cdot h \\ \text{where l is the length, w is the width and h is the height} \end{gathered}\)

replacing:

\(\begin{gathered} A=2\cdot11\cdot6+2\cdot11\cdot13+2\cdot6\cdot13 \\ A=132+286+156 \\ A=574 \end{gathered}\)

What is the energy of each of the following photons in kilojoules per mole?a) ν= 5.92×1019 s−1b) ν= 1.24×106 s−1c) λ = 265 m

Answers

The energy of each photon is:
a) 239.3 kJ/mol
b) \(4.97 * 10^-4 kJ/mol\)
c) \(5.07 * 10^-4 kJ/mol\)

To calculate the energy of each photon in kilojoules per mole, we'll use the following equation:
E = h × ν × (Avogadro's number) / 1000
where E is the energy, h is Planck's constant (6.626 × 10^-34 Js), ν is the frequency in \(s^-1,\) and Avogadro's number is \(6.022 * 10^23 mol^-1.\)

For part c, we'll first convert the wavelength to frequency using the speed of light equation:
ν = c / λ
where c is the speed of light (3.00 × 10^8 m/s) and λ is the wavelength in meters.
a) ν = \(5.92 * 10^19 s^-1\)
E = \((6.626 * 10^-34 Js) * (5.92 * 10^19 s^-1) * (6.022 * 10^23 mol^-1) / 1000\)
E ≈ 239.3 kJ/mol
b) ν \(= 1.24 * 10^6 s^-1\)
E =\((6.626 * 10^-34 Js)\) * \((1.24 * 10^6 s^-1)\) * \((6.022 * 10^23 mol^-1) / 1000\)
E ≈ 4.97 × 10^-4 kJ/mol
c) λ = 265 m
ν =\((3.00 * 10^8 m/s) / (265 m)\)
ν ≈ 1.13 × 10^6 s^-1
E = \((6.626 * 10^-34 Js)\) *\((1.13 * 10^6 s^-1)\) * \((6.022 * 10^23 mol^-1) / 1000\)
E ≈ 5.07 × 10^-4 kJ/mol.

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The answer and what is the value of a

The answer and what is the value of a

Answers

Answer:a=40

Step-by-step explanation:

angles on a straight line add to 180. This means that the missing angle that isn't a is 40. Angles in a triangle add to 180 so a=40

the sum of deviations of the individual observations from their sample mean is

Answers

The sum of deviations of the individual observations from their sample mean is always equal to zero. This is a fundamental property of the sample mean, and it is known as the "zero sum property" of deviations.

The deviation of each observation from the sample mean is defined as the difference between the observation and the sample mean. Mathematically, it can be expressed as:

deviation = observation - sample mean

If we add up all the deviations for a given sample, the resulting sum will always be equal to zero. This can be shown mathematically as follows:

(sum of deviations) = (obs1 - sample mean) + (obs2 - sample mean) + ... + (obsn - sample mean)

(sum of deviations) = (obs1 + obs2 + ... + obsn) - n(sample mean)

(sum of deviations) = n(sample mean) - n(sample mean)

(sum of deviations) = 0

Therefore, the sum of deviations of the individual observations from their sample mean is always equal to zero.

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Complete Question

the sum of deviations of the individual observations from their sample mean is                     ?

-3x^6(-4x+9)
Simplify please lol

Answers

Answer:

-12X^7-27X^6

Step-by-step explanation:

-3x^6(-4X+9)=(-3X^6*)(4X^1)+-27X^6=-12X^7+-27X^6

Tom bought 60 shares of stock and later sold them for a loss of $240. What was his lost per share of stock?

Answers

Answer:

$144

Step-by-step explanation:

.6 x 240

Loss per share = 240 / 60 = $4

If the alternative hypothesis is that proportion of items in population 1 is larger than the proportion of items in population 2, then the null hypothesis should be _____.

Answers

If the alternative hypothesis is that the proportion of items in population 1 is larger than the proportion of items in population 2, then the null hypothesis should be that there is no significant difference in the proportion of items between population 1 and population 2.

Based on the information provided, the null hypothesis should be:

The null hypothesis is that the proportion of items in population 1 is less than or equal to the proportion of items in population 2.

This is denoted as H₀: P₁ ≤ P₂. The alternative hypothesis, as you mentioned, is that the proportion of items in population 1 is larger than the proportion of items in population 2, which is represented as H₁: P₁ > P₂.

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Unit 3: parent functions & transformations homework one piece wise fuctions & greatest integer functions

Answers

For piecewise functions, identify the intervals and equations, and evaluate the function for different values of x. For greatest integer functions, use the greatest integer function to evaluate expressions or equations

To complete your homework on piecewise functions and greatest integer functions, follow these steps: Understand the concept of a piecewise function: A piecewise function is a function that is defined by different rules for different intervals or segments of its domain.

Each segment has its own equation. Identify the intervals and equations: Look at the given function and identify the intervals where the function changes. Write down the equations that define the function for each interval. Evaluate the function for different values of x: Plug in different values of x into each equation to find the corresponding y-values.

Make sure to use the appropriate equation based on the interval that x falls into. Understand the concept of a greatest integer function: The greatest integer function, denoted as f(x) = [x], returns the largest integer that is less than or equal to x. For example, [3.5] = 3 and [−2.8] = −3. Apply the greatest integer function: Use the greatest integer function to evaluate the given expression or equation. Substitute the given value of x into the equation and find the corresponding output value by taking the greatest integer less than or equal to x. It's important to understand the concepts of piecewise functions and greatest integer functions.

Piecewise functions are functions that have different rules for different intervals or segments of their domain. Each segment has its own equation. In order to work with piecewise functions, you need to identify the intervals and equations that define the function for each interval. Then, you can evaluate the function for different values of x by plugging in the appropriate equation based on the interval that x falls into.

On the other hand, the greatest integer function, denoted as f(x) = [x], returns the largest integer that is less than or equal to x. It can be used to evaluate expressions or equations by substituting the given value of x and finding the corresponding output value by taking the greatest integer less than or equal to x.

In conclusion, to complete your homework on piecewise functions and greatest integer functions, you need to understand the concepts behind them. For piecewise functions, identify the intervals and equations, and evaluate the function for different values of x. For greatest integer functions, use the greatest integer function to evaluate expressions or equations. By following these steps, you will be able to solve problems related to these topics.

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a charm on a lucy's bracelet had the dimensions shown what is the area of the charm​

Answers

Answer:

13

Step-by-step explanation:

A scatter plot is shown on the coordinate plane.

scatter plot with points at 1 comma 4, 2 comma 6, 3 comma 4, 3 comma 8, 4 comma 10, 5 comma 6, 6 comma 8, and 9 comma 8

Which of the following graphs shows a line on the scatter plot that fits the data?

scatter plot with points at 1 comma 4, 2 comma 6, 3 comma 4, 3 comma 8, 4 comma 10, 5 comma 6, 6 comma 8, and 9 comma 8, with a line passing through the coordinates 5 comma 7 and 10 comma 9
scatter plot with points at 1 comma 4, 2 comma 6, 3 comma 4, 3 comma 8, 4 comma 10, 5 comma 6, 6 comma 8, and 9 comma 8, with a line passing through the coordinates 2 comma 7 and 6 comma 7
scatter plot with points at 1 comma 4, 2 comma 6, 3 comma 4, 3 comma 8, 4 comma 10, 5 comma 6, 6 comma 8, and 9 comma 8, with a line passing through the coordinates 1 comma 4 and 5 comma 6
scatter plot with points at 1 comma 4, 2 comma 6, 3 comma 4, 3 comma 8, 4 comma 10, 5 comma 6, 6 comma 8, and 9 comma 8, with a line passing through the coordinates 1 comma 4 and 3 comma 8

Answers

The graph that shows a line on the scatter plot that fits the data is the one with a line passing through the coordinates  \((1,4)\) and \((5,6)\) .

What is a graph?

The best way to determine which graph shows a line that fits the data is to plot the line on the scatter plot and see how well it fits with the points.

Let's start with option A, which shows a line passing through the coordinates 5 comma 7 and 10 comma 9. When we plot this line on the scatter plot, we can see that it doesn't fit the data very well.

The line doesn't pass through many of the points and seems to be a poor representation of the relationship between the x and y values.

Option B shows a line passing through the coordinates 2 comma 7 and 6 comma 7. Again, when we plot this line on the scatter plot, we can see that it doesn't fit the data very well.

The line passes through some points, but not all of them, and it doesn't seem to represent the relationship between the x and y values very well.

Option C shows a line passing through the coordinates 1 comma 4 and 5 comma 6. When we plot this line on the scatter plot, we can see that it fits the data fairly well. The line passes through several of the points and seems to capture the overall trend of the data.

Option D shows a line passing through the coordinates 1 comma 4 and 3 comma 8. When we plot this line on the scatter plot, we can see that it fits the data fairly well. The line passes through several of the points and seems to capture the overall trend of the data.

Therefore, The graph that shows a line on the scatter plot that fits the data is the one with a line passing through the coordinates  \((1,4)\) and \((5,6)\) .

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A scatter plot is shown on the coordinate plane.scatter plot with points at 1 comma 4, 2 comma 6, 3 comma

The graph that shows a line on the scatter plot that fits the data is the one with a line passing through the coordinates  (1,4) and (5,6).

What is the best-fit line?

A line of best fit is a straight line that minimizes the distance between it and some data. It is used to express a relationship in a scatter plot of different data points.

Option A Some points are too far from the line when we draw a line through the points (5, 7, and 10). It is not the minimum distance between the line and the scattered data. So, it's not a line on the scatter plot that fits the data.

Option B When we draw a line through (2,7) and (6,7) then the distance between the line and the scattered is still much. So, it's not a line on the scatter plot that fits the data.

Option C When we draw a line through (1,4) and (5,6) then most of the points are nearer to the line and it defines a relation between the points and the line more efficiently.  So, this line is the best-fit line for this scattered graph.

Option D When we draw a line through (1,4) and (3,8) then some points are too far from this line. It is not the minimum distance between the line and the scattered data. So, it's not a line on the scatter plot that fits the data.

Therefore, the graph that shows a line on the scatter plot that fits the data is the one with a line passing through the coordinates (1,4) and (5,6).

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For a given week, latoya's coffee house has available ounces of a grade coffee and ounces of b grade coffee. these are blended into -pound packages as follows: an economy blend that contains ounces of a grade coffee and ounces of b grade coffee, and a superior blend that contains ounces of a grade coffee and ounces of b grade coffee. (the remainder of each blend is made of filler ingredients.) there is a profit on each economy blend package sold and a profit on each superior blend package sold. assuming that the coffee house is able to sell as many blends as it makes, how many packages of each blend should it make to maximize its profit for the week?

Answers

Certainly! Let's consider an example with arbitrary numbers to illustrate the concept.

Let's assume Latoya's Coffee House has the following values:

Available ounces of grade A coffee: 100 ounces

Available ounces of grade B coffee: 80 ounces

Economy blend composition: 4 ounces of grade A coffee and 2 ounces of grade B coffee

Superior blend composition: 5 ounces of grade A coffee and 3 ounces of grade B coffee

Profit per economy blend package: $5

Profit per superior blend package: $7

Now, we can proceed to determine the number of packages of each blend that should be made to maximize the profit for the week.

Let's say Latoya's Coffee House produces 'x' packages of the economy blend and 'y' packages of the superior blend.

Profit for the economy blend: P_economy = 5 * x

Profit for the superior blend: P_superior = 7 * y

The total profit for the week, P_total, is given by:

P_total = P_economy + P_superior

P_total = 5x + 7y

We need to maximize P_total while considering the available ounces of grade A and grade B coffee.

The constraints are as follows:

4x + 5y ≤ 100 (Available ounces of grade A coffee)

2x + 3y ≤ 80 (Available ounces of grade B coffee)

Additionally, 'x' and 'y' should be non-negative since we cannot produce negative packages.

To solve this linear programming problem and find the optimal values for 'x' and 'y', we can use optimization techniques such as the simplex method or graphical methods.

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If a=4, b=6, and sina=3/5 in triangle abc, then sin b eqauls

Answers

If a=4, b=6, and sina=3/5 in triangle abc, then sin b equals: 9/10

To find sin(b) in triangle ABC, we can use the sine function in a right angle and the given information.

Given:

a = 4

b = 6

sin(a) = 3/5

We know that the sine of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In triangle ABC, let's label the side opposite angle a as side c and the hypotenuse as side h.

sin(a) = c / h

Substituting the given values:

3/5 = 4 / h

To solve for h, we can cross-multiply:

3h = 5 * 4

3h = 20

h = 20 / 3

Now, we can use the sine function to find sin(b):

sin(b) = side opposite angle b / hypotenuse

sin(b) = 6 / (20 / 3)

sin(b) = 6 * (3 / 20)

sin(b) = 18 / 20

sin(b) = 9 / 10

Therefore, sin(b) equals 9/10.

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by distributive law 49 times 17 + 49 times 3

Answers

Hello! :)

__________ ☆ ☆_______________________

Answer:

980

Step-by-step explanation:

Equation: 49x17+49x3

49x20= 980 ( the 20 came from 17+3 )

So the answer to your question is 980.

=980

__________ ☆ ☆_______________________

Hope this helps! :)

By;BrainlyMember ^-^

Good luck!

WILL GIVE BRAINLY!~!!

WILL GIVE BRAINLY!~!!

Answers

Answer:

C

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

Brainliest plz

Write an equation in slope-intercept form when given two pieces of key information about the line.
goes through the points (0,4) and (2, 7)

Answers

Answer: y=3/2x+4

Work:

7-4/2-0= 3/2

Since
(0,4) is already the y intercept thats your answer

To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9

Answers

The equations that could be used to find the price of one tire patch is given as follows:

4x + 1.9 = 22.222.2 – 4x = 1.9

How to model the situation?

The price for each tire patch is constant, meaning that a linear function is used to model the situation.

He initially had $22.20, and then for each tire purchased, his amount decays by the slope, hence the function that models the situation is given as follows:

f(t) = 22.2 - tx.

In which t is the number of tires purchased.

He purchased 4 tires, hence:

f(4) = 22.2 - 4x.

After the purchase, he had $1.90 remaining, hence:

1.9 = 22.2 - 4x.

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The IQ scores and science test scores of fourth grade students is given by the regression line ŷ = −20.3 + 0.7489s, where ŷ is the predicted science score and s is the IQ score. An actual science test score for a student is 52.6 with an IQ of 100.

Find and interpret the residual.

−1.99; The regression line under predicts the student's science test score.
1.99; The regression line over predicts the student's science test score.
1.99; The regression line under predicts the student's science test score.
−1.99; The regression line over predicts the student's science test score.

Answers

Answer:

24

Step-by-step explanation:

24

Step-by-step explanation:

Given the equation of the regression line :

y = - 20.3 + 0.489s

where ŷ is the predicted science score

s = IQ score

An actual science test score for a student is 52.6 with an IQ of 100.

Find and interpret the residual.

The predicted science test score for a student with an IQ of 100 is :

y = - 20.3 + 0.489(100)

y = - 20.3 + 48.9

y = 28.6

The residual = actual - predicted score

The residual = 52.6 - 28.6 = 24

Hence, the residual is 24 which is the error in prediction made about the actual score.


Factor each expression that can be factored. For an expression that cannot be factored into a product of two binomials, explain why. x²+2 x+1 .

Answers

The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ x² + 2x + 1

Factorize the expression, then the factor of the expression will be

⇒ x² + x +  x + 1

⇒ x(x + 1)x + 1(x + 1)

⇒ (x + 1)(x + 1)

⇒ (x + 1)²

The product of two binomials will be (x + 1) and (x + 1).

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The first four terms of a sequence are shown below:
7,4, 1, -2
Which of the following functions best defines this sequence?
Of(1) = 7, f(n + 1) = f(n) + 3; for nx 1
O f(1) = 7, f(n + 1) = f(n) - 3; for nx 1
O f(1) = 7, f(n + 1) = f(n) – 4; for n 2 1
Of(1) = 7, f(n + 1) = f(n) + 4; for n > 1

The first four terms of a sequence are shown below:7,4, 1, -2Which of the following functions best defines

Answers

Answer:

second option

Step-by-step explanation:

Given the sequence

7, 4, 1, - 2

There is a common difference d between consecutive terms, that is

d = 4 - 7 = 1 - 4 = - 2 - 1 = - 3

Thus to obtain any term in the sequence from the previous term, subtract 3

Thus

f(1) = 7 , f(n + 1) = f(n) - 3 for n ≥ 1

112°
4)
53°
2f+ 1°
f
=

Can someone link a video or tell me how to do this?

1124)532f+ 1f=Can someone link a video or tell me how to do this?

Answers

This is easy:
2f+1 + 53 =112
Minus 54 from both sides
2f = 58
Divide 2 from both sides
F=29
Just remember the exterior angle is the sum of the 2 interior angles.

Answer:

f = 29

Step-by-step explanation:

First look at the angle inside the triangle that has no marker.  You can determine this angle using the angle on the opposite side (112).

A straight line will equal 180.  So this angle would equal 180 - 112 or 68.

Now you know two of the triangles angles....  53 and 68.

A triangle's inside angles always add up to 180 degrees.

53 + 68 = 121

The angle that is 2f + 1 must equal 180 - 121 which is 59 degrees.

2f + 1 = 59

2f = 58

f = 29

The three angles inside the triangle are 53, 68 and 59

If your original network address with prefix is 172.16.0.0/16, what should your new network address with prefix be if you need 16 subnets?

Answers

172.16.0.0/20 is the required network address with a prefix if you need 16 subnets.


Given that,
If you require 16 subnets, your new network address with a prefix should be something different from the old one, which is 172.16.0.0/16. To determine the prefix corresponding to the 16 subnets.

Here,
Original network address with a prefix  = 172.16.0.0/16,
After 16 subnets the address would become,
New network address with the prefix with 16 subnets =  172.16.0.0/20.


172.16.0.0/20 is the required new address with prefix be if you need 16 subnets.

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simplyfy 12(2+7+1 please some one help io

Answers

Answer:

120

Step-by-step explanation:

I’m assuming you ment 12(2+7+1)

soooo

2+7=9

9+1=10

so here’s it is now

12(10)

when there’s 2 numbers like that you multiply

so 12 x 10 = 120

and there’s your answer

Find the value of x.
A) 10
B) 5√2 (5 radical 2)
C) 5√3 (5 radical 3)
D) 5

Find the value of x.A) 10B) 52 (5 radical 2)C) 53 (5 radical 3)D) 5

Answers

The opposite and adjacent sides are equal in length, so:

x = adjacent side = 5

Hence, the value of x is 5.


What is the right triangle?

A right-angle triangle is a triangle that has one of its angles 90 degrees. The sum of angles in a right triangle is 180 degrees.

we have given,

a right-angle triangle one angle is 45 degrees, adjacent of the angle is 5 and the opposite side is x.

In a right triangle with one angle of 45 degrees, the other acute angle is also 45 degrees.

Therefore, the opposite and adjacent sides are equal in length, so:

x = adjacent side = 5

Hence, the value of x is 5.

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1. How many sheets can a copier reproduce in 5 min. if it makes a copy every 1 ⅑ sec.?​

Answers

Answer:

4.5 or just say 4 if your gonna round it up. hope this helped :)

Step-by-step explanation:

Solve for x

(5x-1) 8x

Solve for x (5x-1) 8x

Answers

90 + (5x-1) + 8x = 180
90 + 5x - 1 + 8x = 180
89 + 5x + 8x = 180
89 + 13x = 180
13x = 91
x = 7

give me the most DETAILED explanation.

6 + 6 - 6 x 6 ÷ 6 = ?

Answers

6+6-6*1

6+6-6

12-6

6 is the answer

Define the following terms:
1. Mean
2. Median
3. Mode
4. Range

Answers

Answer:

1. In mathematics and statistics, the arithmetic mean, or simply the mean or the average, is the sum of a collection of numbers divided by the count of numbers in the collection. The collection is often a set of results of an experiment or an observational study, or frequently a set of results from a survey.

2. In statistics and probability theory, a median is a value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

3. The mode is the value that appears most often in a set of data values. If X is a discrete random variable, the model is the value x at which the probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

4. the set of values that a given function can take as its argument varies.

PLEASE HELP! The composite figure is made up of a cone and a half sphere. The radius of the half sphere is 6 cm. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.

PLEASE HELP! The composite figure is made up of a cone and a half sphere. The radius of the half sphere

Answers

Answer:

904.32 cm^3

Step-by-step explanation:

V = (1/3)(pi)r^2h + (1/2)(4/3)(pi)r^3

V = (1/3)(3.14)(6 cm)^2(12 cm) + (1/2)(4/3)(3.14)(6 cm)^3

V = 904.32 cm^3

The volume of the figure would be the combination of the volume of the cone and the hemisphere that is 904.32 cm^3.

How to find volume of a right circular cone?

Suppose that the radius of the considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

\(V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3\)

Right circular cone is the cone in which the line joining the peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

The composite figure is made up of a cone and a half-sphere.

The radius of the half-sphere is 6 cm.

The volume of the figure would be the combination of the volume of the cone and the hemisphere.

The volume of the figure is

\(V = (1/3)(\pi)r^2h + (1/2)(4/3)(\pi)r^3\\V = (1/3)(3.14)(6 cm)^2(12 cm) + (1/2)(4/3)(3.14)(6 cm)^3\\V = 904.32 cm^3\)

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