1 pts
Question 2
data allowed
Aaron's cell phone plan includes 3GB of data. On the 21st day of his billing period, Aaron received a message from his service provider that he already used 80% of
for the 31-day period. At this rate, when wil he need to pay for additional data?

We cannot compute the percentage of variation in final exam scores, Without knowing the correlation coefficient or regression equation.

To determine the percentage of variation in final exam scores that is explained by the linear relationship with Internet instruction time, we need to calculate the coefficient of determination, denoted \(R^2.\)

R-squared is the proportion of the variance of the dependent variable (final grade) that can be explained in a linear regression model by the independent variable (internet class hours).

It ranges from 1, showing that the demonstration does not clarify the change, and 1 demonstrating that the demonstration clarifies all the fluctuation.

In case you've got as of now calculated the relationship coefficient (r) between Web class hours and last exam scores, you'll be able to calculate \(R^2\)as follows:

\(R^2 = r^2\)

Then again, once you've got the relapse condition, you'll be able to compute\(R^2\)the square of the relationship between the anticipated and genuine values ​​of the subordinate variable. 

\(R^2 = (SSR/SST)\)

where SSR is the sum of squared residuals (also called the explained sum of squares) and SST is the total sum of squares.

You cannot calculate \(R^2\)without knowing the correlation coefficient or the regression equation.

Therefore, we need more information on studies such as:  Using data or summary statistics,

to determine the value of \(R^2\)to determine the percentage of variation in final exam scores explained by a linear relationship with Internet instruction time.  

learn more about regression equation

brainly.com/question/30738733

#SPJ4

Answer:

\([-1,\infty)\)

Step-by-step explanation:

Remember that the range is the set of all y-values. Thus, since the minimum of the function is y=-1, then our range is \([-1,\infty)\). In interval notation, we use brackets to show what's included and parentheses to show what's not included.

Answer:

(-1, ∞)

Step-by-step explanation:

domain is side to side

range is down to up

or

range is up to down

this graph goes down to up

from

-1 to infinity

or

(-1, ∞)

The correct answer is:

h(x) = cos(3x/2), 0 < x < 2π

To identify whether the function is increasing or decreasing, we need to find the derivative of h(x) and check its sign.

h'(x) = -3/2 sin(3x/2)

Since sin(3x/2) is negative in the interval 0 < x < π and positive in the interval π < x < 2π, we can see that h'(x) is negative in the interval 0 < x < π and positive in the interval π < x < 2π.

Therefore, h(x) is decreasing on the interval 0 < x < π and increasing on the interval π < x < 2π.

In interval notation, we can write:

h(x) is decreasing on (0, π) and increasing on (π, 2π).
To determine the intervals where the function h(x) = cos(3x/2) is increasing or decreasing on the interval (0, 2π), we need to analyze its first derivative.

First, find the derivative of h(x):

h'(x) = - (3/2)sin(3x/2)

Now, find the critical points by setting h'(x) = 0:

- (3/2)sin(3x/2) = 0

sin(3x/2) = 0

3x/2 = nπ, where n is an integer

x = (2/3)nπ

For the given interval (0, 2π), the critical points are:

x = 0, x = (2/3)π, x = (4/3)π, and x = 2π

To determine the intervals where h(x) is increasing or decreasing, analyze the sign of h'(x) on the subintervals:

(0, (2/3)π): h'(x) > 0 → increasing
((2/3)π, (4/3)π): h'(x) < 0 → decreasing
((4/3)π, 2π): h'(x) > 0 → increasing

Thus, the function h(x) is increasing on the intervals (0, (2/3)π) and ((4/3)π, 2π) and decreasing on the interval ((2/3)π, (4/3)π).

Learn more about Calculus here: brainly.com/question/6581270

#SPJ11

Answer:

3x+6=9

Step-by-step explanation:

thre are 3 x's on one side and 6 1's

the other side has nine ones

15(x+3) = 2x(12)

15x+45 = 24x

45 = 9x

x = 5

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

for more such question on substituting visit

https://brainly.com/question/22340165

#SPJ8

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

To know more about abnormality, visit,

https://brainly.com/question/27999898

#SPJ4

Answer:

x² - 3x ≤ 54 m²

Step-by-step explanation:

Step-by-step explanation:

and ? what do we need to do with this ?

compress/simplify this ?

if that is true :

(x+3)(x²-3x+9)-(54+x³)

x³ - 3x² + 9x + 3x² - 9x + 27 - 54 - x³ = -27

Answer:

y=4x-5.

Step-by-step explanation:

slop-interception form of the required line is y=kx+b, where k - slop, b - intercept;

1) to find value of k:

if the required line is parallel to the given line, then slop of the given line = slop of the required line, it means k=4 and the required line is y=4x+b;

2) to find the value of 'b':

if to substitute the given coordinates into the equation of the given line, then:

15=4*5+b, b= -5.

3) finally, y=4x-5

The present or future value of his inheritance 7.0 years from now is  $82,919.80. None of the given options are correct.

The present value of Thuan's inheritance 7.0 years from now can be calculated using the formula for present value of a future sum of money.
The formula is:
Present Value = Future Value / (1 + Interest Rate)^Number of Periods
In this case, the future value is $117,000.00, the interest rate is 11.450%

(expressed as a decimal, i = 0.1145), and the number of periods is 7.0 years.
Substituting these values into the formula, we get:
Present Value = $117,000.00 / (1 + 0.1145)\(^{7.0}\)
Calculating this expression, we find that the present value of Thuan's inheritance 7.0 years from now is approximately $82,919.80.
Therefore, none of the provided options are correct.

To know more about future value  refer here

brainly.com/question/30787954

#SPJ11

Answer:

Step-by-step explanation:

20% of 30 is 6 are randomly selected.

30 choose 6 = 30! / (30-6)! 6!

                 = 30! / 24!6!

                 = 30 * 29 * 28 * 27 * 26 * 25

                   --------------------------------- <-- 24! cancels

                    6 * 5 * 4 * 3 * 2 * 1

                 = 29 * 28 * 27 * 26 * 25

                  ---------------------------------- <--- 30 = 6 * 5 cancels

                      4 * 3 * 2 * 1

                = 29 * 7 * 9 * 13 * 25   <--  4 cancels 28, 3 cancels 27, 2 cancels 26

               = 593775

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Let the area be y .

Area = (base) × (height)

Base = 2x

Height = h

Let the area of the rectangular pens be y .

∴ y = 2xh

Perimeter of all the fencing = 4x+3h

∴ 4x+3h = 120

now we solve for h

3h = 120-4x

h = 40 - 4/3 x

Now we will substitute this value in the above first equation:

y = 2xh

or, y = 2x (40 - 4/3 x)

or, y = 80x - 8/3 x²

Now for the maximum area we have to find the first order differentiation of y

now,

dy /dx = 80 - 16/3 x

At dy/dx = 0 we get the value of x for which y is maximum.

80 - 16/3 x = 0

or, - 16/3 x = -80

or, x = 15 feet

Hence height =  40 - 4/3 x = 40 - 20 = 20feet

Maximum area = 2xh = 2×15×40 = 1200 square feet

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Disclaimer : The missing figure for the question is attached below.

To learn more about area visit:

https://brainly.com/question/27531272

#SPJ4

The fetus experiences tactile stimulation in the womb as a result of: several factors including movement, pressure, and the mother's digestive and respiratory systems.

Tactile stimulation is the sense of touch. The fetus can experience a sense of touch even while still in the womb. The sense of touch can be evoked by several factors including movement, pressure, and the mother's digestive and respiratory systems.In the womb, the fetus is in a dark, warm, and quiet environment.

Therefore, they can feel when their mother touches her stomach or when someone touches her from outside the belly. The tactile stimulation also occurs when the fetus moves around or kicks and stretches. The fetus' tactile sensitivity has been shown to be well-developed by the end of the first trimester.

The fetus is also sensitive to pressure changes. This is because the amniotic fluid in which they are suspended is influenced by changes in pressure. For instance, if the mother is sitting, standing, or lying down, this causes changes in the pressure of the amniotic fluid.

These changes cause the fetus to move or shift their position. This movement, in turn, stimulates the fetus' tactile senses.

Learn more about Fetus at

https://brainly.com/question/31765161

#SPJ11

Answer:

0.1 + 0.02+ 0.005

Question: Find the length and width of a rectangle that has the given perimeter and a maximum area. perimeter: p unitsMain Answer:The maximum area of a rectangle with a given perimeter occurs when the rectangle is a square.

Thus, to find the length and width of a rectangle that has the given perimeter and a maximum area, we must solve for the dimensions of a square using the given perimeter.The formula for the perimeter (P) of a rectangle is given as: P = 2l + 2w, where l represents the length of the rectangle and w represents the width.To solve for the length and width of a rectangle that has a given perimeter (p) and a maximum area,

we must first solve for the length and width of the corresponding square using the given perimeter (p). We can do this by dividing the perimeter by 4 (since a square has four equal sides).Length of one side of the square is `p/4`.As the square is the rectangle with maximum area, we can say that l = w= `p/4` units.Explanation:Thus, the length and width of the rectangle are both equal to `p/4` units, and the rectangle with these dimensions has the given perimeter and maximum area.

To know more about perimeter visit:

https://brainly.com/question/7486523

#SPJ11

Answer:

28:20

Step-by-step explanation:

you just multiply 5 by 4 because 20 divided by 4 is 5 and then multiply 7 by 4

Answer:

Let total students be ‘X’

No of girls = (X-20)

Girls/Boys=7/5=(X-20)/20

7(20) =5(X-20)

140=5X-100

5X=240

X = 240/5

X =48

So, Total Students are 48

No of girls = (X-20) = 48-20 = 28

Step-by-step explanation:

The equation of the straight line is y = -2x - 4, the value of x₁ is -1 and the value of y₁ is -2.

To find the equation of a straight line given its slope and one point, we use the point-slope form of the equation:

−y − y₁​ = m(x−x₁ )

where m is the slope of the line, and (x₁, y₁) is the given point.

In this case, m = -2 and the point is (-1, -2). So we have:

x₁ = -1

y₁ = -2

m = -2

Substituting these values into the point-slope form, we get:

y−(−2)=−2(x−(−1))

Simplifying and rearranging terms, we get the equation of the line:

y + 2 = -2x - 2

y = -2x - 4

Find out more about straight lines

brainly.com/question/23805201

#SPJ4

Answer:

Confusing question but I think it's 10:10

Step-by-step explanation:

Total outcome = 5:3:2

= 5+3+2

=10.

Probability = number of success

Total outcome

= 10/10

Therefore the probability of Morgan choosing each colour is 10:10.

Answer:

The unit rate is $2.71.

Step-by-step explanation:

29.81/11=2.71

A completely randomized experimental design and a randomized block design are two types of experimental designs used in research.

In a completely randomized design, subjects or experimental units are randomly assigned to different treatment groups.

Each subject has an equal chance of being assigned to any treatment group, and there is no consideration for any potential blocking factors.

This design is often used when there are no known sources of variability or potential confounding factors that need to be controlled.

On the other hand, a randomized block design involves grouping subjects or experimental units into blocks based on a certain characteristic or blocking factor that may influence the outcome.

Within each block, subjects are randomly assigned to different treatment groups.

This design allows for better control of potential confounding variables, as it ensures that each treatment group is represented equally within each block.

Overall, the main difference between a completely randomized design and a randomized block design lies in the consideration of blocking factors.

Completely randomized designs are simpler and more straightforward, while randomized block designs are more effective at controlling for potential confounding variables.

To know more about design visit:

https://brainly.com/question/17147499

#SPJ11

Answer: 3n-6

Step-by-step explanation: You have to use the distributive property. 3 times n is 3n and 3 times -2 is -6.

Answer:

36 in.

Step-by-step explanation:

side = x

x^2 + x^2 = 12.72^2

2x^2 = 161.79

x^2 = 80.899

x = 9

perimeter = 4x = 4 * 9 = 36

Answer:

surface area of the triangular prism

(8×6)+(15×10)+(15×6)+(8×15)

48+150+90+120

408 m²

Answer:

It's 5

Step-by-step explanation:

-4x+5=-15 (subtract 5)

-4x=-20 (divide by -4)

x=5

Step-by-step explanation:

Work backwards. First, create a function:

f(x) = x

First, instead of adding 5, subtract it:

f(x) = x - 5

Then, divide by -4:

f(x) = (x - 5) ÷ -4

Then plug in -15:

f(-15) = (-15 - 5) ÷ 4

= -20 ÷ -4

= 20 ÷ 4

= 5

The set of all images of the elements in the domain of a function is called the "range" or "codomain" of the function.

The set of all images of the elements in the domain of a function is called the range. The domain of a function refers to the set of input values or independent variables that the function can accept. It represents the set of values for which the function is defined. On the other hand, the range of a function refers to the set of output values or dependent variables that the function can produce. It represents the set of values that the function can take on as the input values change. The range is determined by evaluating the function for all possible input values in the domain. Thus, it is essential to determine both the domain and range of a function to fully understand its behavior and properties.

Visit here to learn more about domain:

brainly.com/question/28135761

#SPJ11

Answer:

0, 728

Step-by-step explanation:

㏒\(_{12}\) 1, 728 =

The base 12 logarithm of 1 is 0.

\(sort ( 0,728)\)

The list values are already in order.

0, 728

Answer:

100 metere is 1 km

Thanks for the question

The SAS standard for similarity of triangles states that triangles are similar if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent.

Statement : The statement can be expressed as follows:

If two triangles ABC and DEF are such that

∠A=∠D and AC /DF =AB/DE

then △ABC∼△DEF

Proof :

Given: △ABC and △DEF are such that

AC /DF =AB/DE and ∠A=∠D

To Prove : △ABC∼△DEF

Construction : Draw a line PQ such that DP= AB , DQ= AC

In △ABC and △DPQ

AB = DP ( by construction)

DQ= AC ( by construction)

∠A=∠D (given)

=> △ABC ≅△DPQ (by SSA congruence property)

AB/DE = AC/DF (given )

=> DP/DE = DQ/DF ( using AB = DP ; DQ= AC)

=> PQ||EF (by converse of B.P.T)

Now , ∠P =∠E and ∠Q =∠F ( by corresponding angles)

△DEF ≅ △DPQ (Using AAS congruence )

=> △ABC ∼△DEF ( because two congrunt triangles are always similar )

Hence proved .

To learn more about SAS Congruence Theorem refer :

https://brainly.com/question/22472034

#SPJ4

The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

For more such questions on lengths

https://brainly.com/question/28322552

#SPJ8