In an activity, students are pulling marbles from a large jar containing blue and red marbles. In their sample,
students will calculate the proportion of red marbles. Which of the following is a correct statement about sampling
variability?
A- The larger the sample size of marbles, the larger the sampling variability
B- The smaller the sample size of marbles, the smaller the sampling variability
C- The larger the sample size of marbles, the closet the sample proportion of red marbles will be the true proportion of red marbles in the jar
D- The smaller the sample size of marbles, the closet the sample proportion or red marbles will be to the true proportion of red marbles in the jar

Answer:

Q₃ - Q₂ > Q₂ - Q₁

$550,000 > $100,000

Therefore, the distribution is expected to be right skewed.

Since the distribution is right-skewed, the median would best represent a typical observation in the data.

Since the distribution is right-skewed, The inter-quartile range (IQR) would be a better choice to represent the variability of data.

Step-by-step explanation:

Housing prices in a country where 25% of the houses cost below $350,000.

Which means that first quartile is Q₁ = $350,000

50% of the houses cost below $450,000.

Which means that second quartile is Q₂ = $450,000

75% of the houses cost below $1,000,000

Which means that third quartile is Q₃ = $1,000,000

Recall that the distribution will be symmetric if the following relation holds true

Q₃ - Q₂ = Q₂ - Q₁

Q₃ - Q₂ = $1,000,000 - $450,000 = $550,000

Q₂ - Q₁ = $450,000 - $350,000 = $100,000

Hence the distribution is not symmetric since

Q₃ - Q₂ ≠ Q₂ - Q₁

The distribution is right skewed since

Q₃ - Q₂ > Q₂ - Q₁

$550,000 > $100,000

Therefore, the distribution is expected to be right skewed.

Since the distribution is right-skewed, the median would best represent a typical observation in the data

Therefore, A typical observation is best represented by the median.

Since the distribution is right-skewed, The inter-quartile range (IQR) would be a better choice to represent the variability of data.

Therefore, the variability in the observations is best measured by the inter-quartile range (IQR).

Note:

For a symmetric distribution, the mean would best represent a typical observation in the data and the variability of observations would be best represented using the standard deviation.

Answer:

1. right skewed

2.median

3. IQR

Step-by-step explanation:

The distribution is expected to be:___________.3. right skewed

This is because most of the data lies on the right side of the observations . It has a left tail . Tail means the elongated side where the data is in lesser amount. If we analyze we see that 75% of the houses cost below $1,000,000 and  a few houses are in between the cost range of $1,000,000 -$6,000,000 .

So there is lesser data on the left side meaning the distribution is right skewed.

A typical observation is best represented by the:_______.1. median

Normally when the distribution is symmetric it is best represented by the mean but since this is a right skewed the median provides the best observation.

The variability in the observations is best measured by the:________1. IQR

The interquartile range is best for skewed distributions just like the median. The standard deviation tells the percentage of observations it falls from the mean but in skewed distributions it is the interquartile range that gives the  best measure of the variation from the median .The IQR  ranges from the low of Q2 to the high of Q3  which is mostly the middle part .

Answer:

x= y+7/3

y=3x-7

​

Step-by-step explanation:

MY BRAIN

Answer:

25

Step-by-step explanation:

First you have to understand what f(3) means.

f(x) = x^3 - 2

f(3) means that wherever you see and x, you put in a 3.

f(3) = 3^3 - 2

f(3) = 3*3*3 - 2

f(3) = 27 - 2

f(3) = 25

Answer:

Step-by-step explanation:

If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.

Answer:

Step-by-step explanation:

a. 11/10

b.  The function approaches 1 as it goes on forever but there is technically no minimum value as it keeps decreasing since it keeps getting smaller and smaller infinitely

c.
Explicit a_n = (n+1)/n

easier to write explicit as the value depends on its position rather than the previous term.

The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.

In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.

The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.

According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms

Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.

Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

For more such questions on electrical resistance, click on:

https://brainly.com/question/30609640

#SPJ8

The angle formed by the two hands have a measure less than 1/4 turn

From the question, we have the following parameters that can be used in our computation:

A clock with the hour hand at 12 and the minute hand at 2

The turn represented by the above is represened as

Turn = (2 * 30)/360

When simplified, we have

Turn = 1/6

Next, we have

Angle at the turn = 1/4

1/6 is less than 1/4

This means that the angle formed by the two hands have a measure less than 1/4 turn

Read more about angles at

https://brainly.com/question/25716982

#SPJ1

Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

For similar question on total interest.

https://brainly.com/question/29415701  

#SPJ8

Answer:

Gradient normal x gradient tangent = -1 is a mathematical expression that relates the normal and tangent vectors of a curve in three-dimensional space. The gradient of a scalar function is a vector that points in the direction of the greatest rate of increase of the function. The normal vector is perpendicular to the surface defined by the function, and the tangent vector is a vector that lies on the surface and points in the direction of the curve.

In mathematics, the cross product of two vectors is a vector that is orthogonal to both vectors, and the magnitude of the cross product is equal to the product of the magnitudes of the two vectors multiplied by the sine of the angle between them. In this case, the normal and tangent vectors of a curve form an orthogonal basis, meaning that they are perpendicular to each other. The expression gradient normal x gradient tangent = -1 says that the magnitude of the cross product of the normal and tangent vectors is equal to -1. This means that the normal and tangent vectors form a right-handed coordinate system, where the cross product is negative because the normal vector points in the opposite direction to the positive z-axis.

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

Answer:

0

Step-by-step explanation:

7 + (-8) + 2 + (-1)

is the same as:

7 - 8 + 2 - 1

Simplify these:

-1 + 1

Solve:

0

The Julián has 0.84 euros left after making these purchases.

Given that Julián spends 2/5 of his savings on a school trip, and 25% of his savings on skates. The question is asking us to find out how much the skates cost and how much money he has left after making these purchases. Let's solve this problem step-by-step.

Part (a) is already solved as we know that Julián spends 2/5 of his savings on a school trip and 25% of his savings on skates.

Part (b) To determine how much the skates cost, we need to first find out what percentage of his savings he spent on skates. Since he already spent 2/5 of his savings, that means he has 3/5 left.

And since he spent 25% of his total savings on skates, we can set up an equation as follows:

0.25(x) = 3/5where x is his total savings.

Cross-multiplying: 0.25(x) * 5 = 3x1.25x = 3x = 3/1.25x ≈ 2.4So, his total savings would be around 2.4 euros.

Therefore, the cost of the skates is 0.25(2.4) = 0.6 euros.Part (c) To find out how much money he has left, we subtract the cost of the school trip and the skates from his total savings:

Total savings - School trip - Skates

= Money left2.4 - (2/5)(2.4) - 0.6

= Money left2.4 - 0.96 - 0.6

= Money left0.84 euros

To learn more about : purchases

https://brainly.com/question/29939115

#SPJ8

Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

Answer:

4

Step-by-step explanation:

10 walls that are each 100sqfeet totals to 1000sqfeet. 1000/250 is equal to 4 cans.

Answer:

Solution:

We know that:

Solution:

Hence, 4 cans are required to paint the apartment.

Answer:

14-11.76 = 2.24

2.24×100

14 = 16%

since, the discount percentage is 16%

Answer:

Step-by-step explanation:

Given statement solution is :- The correct answer is: The frequency is 3 more than expected.

To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.

The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The expected frequency can be found by multiplying the probability by the total number of rolls:

Expected frequency = Probability of landing on an even number × Total number of rolls

Expected frequency = 0.5 × 30 = 15

Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.

The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).

Therefore, the correct answer is: The frequency is 3 more than expected.

For such more questions on Frequency Difference

https://brainly.com/question/13193436

#SPJ8

Answer:

B is the answer I believe

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

Gender is categorical nominal, end-of-the-year stock classification is categorical and ordinal, and distance is quantitative and ratio.

Quantitative variables are measured with numbers. Some examples include:

Weight measured in kilos

The distance measured in meters or kilometers

Time measured in seconds or hours

On the other hand, a categorical variable is defined by features, categories, or concepts rather than numbers. Here is an example:

Breeds of dogs: Poodles, Boston Terriers, German shepherds, etc.

Moreover, variables can be classified as:

Learn more about ordinal and nominal in: https://brainly.com/question/13168982

#SPJ1

Answer:

Step-by-step explanation:

The number itself equals any integer raised to the power of one.

What is Exponent?

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.

What is integer?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold mathbb Z.

Any number that is multiplied by one has the same value as the original number, according to the exponent rule.

Take this as an example:

You can write x to the power of 1 as x and 100 to the power of 1 as 100.

Therefore, anything raised to the power of one equals that number.

Learn more about Exponent click here:

https://brainly.com/question/11975096

#SPJ4

Answer:

a = 8

b = 2

c = 48

Step-by-step explanation:

3 cups of flour is needed to make 24 servings.

3:24

Simplify. First, divide 3 from both sides of the ratio.

(3)/3 : (24)/3

1:8

Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1

1 x 2 = b = 2

Finally, multiply 8 to 6 to get c.

8 x 6 = c = 48

~

If the triangles are similar, then the angles are all congruent.

Therefore, we can start by setting the two middle angles equal to each other.

4x + 7 = 5x - 10

7 = x - 10

x = 17

Middle angle = 75

Now that we know our x-value, we can simply plug in x for our other two expressions.

3 * 17 = 51

4(17) - 14 = 54

We can check to make sure that our angle measures are correct by adding them all up and making sure they equal 180.

54 + 51 + 75 = 180

180 = 180

Hope this helps!! :)

Answer:

54, 51, 75

Step-by-step explanation:

4x+7=5x-10 because they are vertical angles and are therefore equal to eachother. x=17.

After plugging the 17 into the equations you get 4(17)+7=75. 3(17)=51. All angles in a triangle add up to 180. We already have 75 and 51 in the first triangle, to get the third length you need to subtract that from 180. 180-75+51=54.

The second triangle will give you the same lengths. 5x-10=75. 4(17)-14=54. Again, 180-75-54=51.

Your final lengths are 75,51,54.

The solution of the equation 4c-3c=14 is c=14

The linear equation is defined as the equation that is written in the form of Ax + By = C, this is the linear equation with 2 unknown variable, Here A and B are the unknown variable and C is the constant term. Ax = C is the linear equation with one unknown variable. Here A is the unknown variable and C is the constant term

The given equation is

4c - 3c = 14

Combine the like terms

4c - 3c = 14

(4-3)c = 14

Subtract it

1c =14

c = 14

Hence, the solution of the equation 4c-3c=14 is c=14

Learn more about linear equation here

brainly.com/question/13738061

#SPJ1

Answer:

its point g

Step-by-step explanation:

g is lined up with e so then g is in the center

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

The amount  of substance A present after 4 hours is 5.56 grams

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Let y= the amount of unconverted substance A at any time t

differential equation is

dy/dt = ky²

dy/y² = k dt

On integrating both sides , we get

-1/y = kt+c

=> y= -  1/( kt+c )

This is the general solution

Given, at t=0, y=50

so, 50= -1/(k*0+c)

=> c= -1/50

when t= 2, y= 10

So, 10 = -1/( 2k- 1/50)

On solving, k = -1/25

The particular solution is

y= -1/ ( (-1/25) t -1/50) = 50/(2t+1)

when t= 4,

y= 50/ (2*4+1) = 5.56

The amount  of substance A  present after 4 hours is 5.56 grams

To learn more about the solution of an equation from the given link

https://brainly.com/question/22688504

#SPJ1

Answer:

6

Step-by-step explanation:

318 / 53  = 6

the remainder is 0

Answer:

32 people

Step-by-step explanation:

8/0.25 = 32