What is the domain of the function on the graph? A. All real numbersB. All real numbers greater than or equal to 0C. All real numbers greater than or equal to -2D. All real numbers greater than or equal to -3

Answer:

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8)  = 83.9≅ 84 percentage

Step-by-step explanation:

Step(i):-

Mean of the Population = 8.3 points

Standard deviation of the Population = 0.5 points

Let 'X' be the random variable in normal distribution

Let X = 6.8

\(Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3\)

Let X = 8.8

\(Z = \frac{x-mean}{S.D} = \frac{8.8-8.3}{0.5} = 1\)

The probability that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8) = P(-3≤Z≤1)

                     = P(Z≤1)- P(Z≤-3)

                    =  0.5 + A(1) - ( 0.5 -A(-3))

                   = A(1) + A(3)       (∵A(-3)=A(3)

                  =  0.3413 +0.4986    (∵ From Normal table)

                 = 0.8399

Conclusion:-

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8)  = 83.9≅ 84 percentage

Answer:

\(\boxed{\tt y=48}\)

Step-by-step explanation:

\(\tt \cfrac{3}{16}=\cfrac{9}{y}\)

Cross multiply:-

\(\tt 3 \times y=(9)\times (16)\)

\(\tt 3y=144\)

Divide both sides by 3:-

\(\tt \cfrac{3y}{3}=\cfrac{144}{3}\)

Simplify:-

\(\tt y=48\)

_________________

Hope this helps!

Answer:y=48 I hope this is helpful good luck have a good day

Step-by-step explanation:

3/16 = 9/y

Determine the defined range

3/16=9/y y=0 cross out the equal sign y=0

Simplify the equation using cross-multiplication

3y=144

Divide both sides of the equation by 3

y=48

Check if the solution is in the defined range

Answer:

p = 8

Step-by-step explanation:

The n th term of an AP is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₉ = 4 + 5p and d = 5, then

a₁ + 8d = 4 + 5p, that is

a₁ + 8(5) = 4 + 5p

a₁ + 40 = 4 + 5p ( subtract 40 from both sides )

a₁ = 5p - 36

a₂ = 5p - 36 + 5 = 5p - 31

a₃ = 5p - 31 + 5 = 5p - 26

a₄ = 5p - 26 + 5 = 5p - 21

Given that the sum of the first 4 terms = 7p - 10, then

5p - 36 + 5p - 31 + 5p - 26 + 5p - 21 = 7p - 10, that is

20p - 114 = 7p - 10 ( subtract 7p from both sides )

13p - 114 = - 10 ( add 114 to both sides )

13p = 104 ( divide both sides by 13 )

p = 8

The ratio strength of the final product is 1:0.4.

One technique to indicate concentration is through ratio strength, which uses a ratio to characterize drug concentration. In this context, concentration is defined as the quantity of a solute that makes up one unit in the whole volume of a solution or combination. You should be an expert in ratio strength calculations as a pharmacy student. Ratio strength uses a ratio to describe the medication concentration. So, what it implies is, you have one unit of solute contained in the complete amount of preparation and so generally your ratio strength is expressed as one is to something. In the case of a weight-in-weight, volume-in-volume, or weight-in-volume situation, you would interpret a ratio of 1:2,000 differently.

Drug strength = 800mg

whole volume =2ltrs

The ratio of the solution in 1 ltr is = 400 mg

The ratio strength of the solutions is = 1:0.4

To know more about ratio strength, visit;

https://brainly.com/question/12123928

#SPJ4

The population of ages at inauguration of all u. s. presidents is option B. With a data et that is loss​ small, the true nature of the distribution cannot be seen with a histogram.

The distribution is not always dramatically far from being a ordinary distribution with a bell form, so there is not robust proof towards a normal distribution. A histogram is a graph such as bars of equal width drawn adjoining to each different, until there aren't any gaps within the facts. The horizontal scale represents lessons of quantitative information values, and the vertical scale represents frequencies. the heights of the bars correspond to frequency values.

Histograms are not free of biases. clearly, they're arbitrary and may lead to wrong conclusions about data. if you need to visualize a variable, higher to select a distinct plot.

Disclaimer:- your question is incomplete,please see below for complete questuon.

A.This data set would yield a histogram that is not​ bell-shaped.

B.With a data et that is loss​ small, the true nature of the distribution cannot be seen with a histogram.

C.There must be an even number of data values in the data set to create a histogram.

D.Adequate class boundaries for a histogram cannot be found with this data set.

Learn more about population here:-https://brainly.com/question/25630111

#SPJ4

The polynomial 4x^3 + 0.4 is a binomial of degree 3. It consists of two terms: 4x^3 and 0.4. Among the given options, the correct option is binomial.

The given polynomial is 4x^3 + 0.4. To determine its degree, we look for the highest power of the variable, which in this case is x. The term with the highest power of x is 4x^3, so the degree of the polynomial is 3.

Now, let's classify the polynomial.

In the given polynomial, we have two terms, 4x^3 and 0.4.

Since there are only two terms, it falls under the category of a binomial.

Therefore, the given polynomial is a binomial of degree 3.

So, the polynomial 4x^3 + 0.4 has a degree of 3 and is classified as a binomial.

To learn more about polynomial visit:

https://brainly.com/question/4142886

#SPJ11

Answer:

y = 0.8

Step-by-step explanation:

9(0.5y + 0.4) = 5(0.1y + 1.3) + 0.3

~Distribute both sides

4.5y + 3.6 = 0.5y + 6.5 + 0.3

~Simplify right side

4.5y + 3.6 = 0.5y + 6.8

~Subtract 3.6 to both sides

4.5y = 0.5y + 3.2

~Subtract 0.5y to both sides

4y = 3.2

~Divide 4 to both sides

y = 0.8

Best of Luck!

Answer:

oh this isnt math but im learning about this

electrical ; thermal

Step-by-step explanation:

because the computer turns on with electricity then it gets hot which is thermal

(a) The histogram of salary is skewed to the right, indicating that there are more players with lower salaries and a few players with very high salaries.

(b) The boxplot of salary shows several outliers, indicating that there are some players with salaries much higher than the majority of players. The median salary is around 1.5 million dollars.

(c) To estimate the true mean salary with 95% confidence, we can use a t-interval since we do not know the population standard deviation. Using the t-distribution and the provided data, we find a 95% confidence interval for the true mean salary to be (2.961, 3.372) million dollars. This means that we are 95% confident that the true mean salary of all Major League Baseball players in 2010 falls within this range.
(a) To create a histogram of the salary data, you would plot the frequencies of salary ranges (in thousands of US dollars) on the vertical axis and the salary ranges on the horizontal axis. The histogram may display a right-skewed distribution, indicating that the majority of MLB players in 2010 earned relatively lower salaries while a smaller number of players earned exceptionally high salaries.

(b) To create a boxplot of the salary data, you would display the five-number summary (minimum, first quartile, median, third quartile, and maximum) as a box with whiskers extending from the box to the minimum and maximum values. The box represents the interquartile range (IQR), containing 50% of the data. The boxplot may show a right-skewed distribution, with the median closer to the first quartile and potential outliers on the high end, representing players with exceptionally high salaries.

(c) To estimate the true mean salary with a 95% confidence interval, you would use the sample mean and standard deviation from the dataset along with the t-distribution. The interval would provide a range within which we are 95% confident that the true mean salary of MLB players in 2010 falls. Interpreting the interval, if we were to sample 100 similar datasets, approximately 95 of them would contain the true mean salary within their respective calculated intervals.

Learn more about histogram here: brainly.com/question/30354484

#SPJ11

Answer:

85 miles.

Step-by-step explanation:

Lets begin by figuring out the number of miles in 4 inches. Since every 2 inches make 40 miles, we can figure out that there are 80 miles in 4 inches. To figure out that .125 part, we multiply 40 by .125, to get 5. We can add 80 plus 5 to get our grand total of 85 miles.

To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

To learn more about tangent plane click here : brainly.com/question/33052311

#SPJ11

Answer:

-3<y<3 The filled in dot means 3 is greater than or equal to.

The best statistical measure to represent the entire spread of the data set when a data set is symmetrical is the standard deviation.

The standard deviation is a measure of how much the individual data points vary from the mean of the data set.

It is calculated by taking the square root of the variance.

It is the average of the squared differences of each data point from the mean.

In a symmetrical data set, the mean, median, and mode are all equal and located at the center of the data set.

This represents that the data points are evenly distributed around the center.

The standard deviation can provide a good measure of the spread of the data points from this center.

Other measures of spread representing the range or interquartile range, may not be as useful in a symmetrical data set .

As they are more affected by outliers and skewness in the data.

Therefore, the symmetrical data set in best way represented by statistical measure known as standard deviation.

Learn more about data set here

brainly.com/question/16159794

#SPJ4

Answer:

The answer is 4x

Thats all i can tell you with that information

9a) The function form is f(x) = -4(-3)^(x-1). The sequence is not an exponential function because the base is negative.

9b) The function form is g(x) = -16 * (-1/4)^(x-1). The sequence is not an exponential function because the base is between 0 and 1.

10) Geometric sequences and exponential functions are closely related, but not all geometric sequences are exponential functions. Every geometric sequence with a positive base can be represented as an exponential function with the same base.

9)

a) The explicit formula for sequence E is y = -4 (-3)^(x-1). To write it in function form, we can define a function f(x) = -4(-3)^(x-1), where f(x) represents the value of the sequence at the xth term.

The reason why this geometric sequence is not an exponential function is that the base (-3) is negative. Exponential functions have positive bases, whereas geometric sequences can have either positive or negative bases.

b) The explicit formula for sequence F is y = -16 * (-1/4)^(x-1). To write it in function form, we can define a function g(x) = -16 * (-1/4)^(x-1), where g(x) represents the value of the sequence at the xth term.

Similar to sequence E, the reason why this geometric sequence is not an exponential function is that the base (-1/4) is between 0 and 1, whereas exponential functions have bases greater than 1 or between 0 and 1.

10) Geometric sequences and exponential functions are closely related. In fact, every geometric sequence with a positive base can be represented as an exponential function with the same base.

For example, the geometric sequence with a constant ratio of 2 can be written as the exponential function f(x) = 2^x. Similarly, a geometric sequence with a constant ratio of 1/3 can be written as the exponential function g(x) = (1/3)^x.

However, as we saw in the previous question, geometric sequences with negative or fractional bases are not exponential functions. Therefore, not all geometric sequences are exponential functions.

Learn more about exponential function at:

https://brainly.com/question/14355665

#SPJ1

Answer:

Step-by-step explanation:

The tax = $2.23

Tax rate = 8.25%

Purchase = 27.05

Tax = Tax rate x purchase

The tax = $2.23

The population of birds to increase by 50% in 31.25 years.

The differential equation for the population of birds is:

dp/dt = 0.016P

where P is the population of birds and t is time in years.

To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.

Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.

Then we have:

P1 = 1.5P0 (since P increases by 50%)

We can solve for t by integrating the differential equation:

dp/P = 0.016 dt

Integrating both sides, we get:

ln(P) = 0.016t + C

where C is the constant of integration.

To obtain the value of C, we can use the initial condition that the population at t=0 is P0:

ln(P0) = C

Substituting this into the previous equation, we get:

ln(P) = 0.016t + ln(P0)

Taking the exponential of both sides, we get

:P = P0 * e^(0.016t)

Now we can substitute P1 = 1.5P0 and solve for t:

1.5P0 = P0 * e^(0.016t

Dividing both sides by P0, we get:

1.5 = e^(0.016t)

Taking the natural logarithm of both sides, we get:

ln(1.5) = 0.016t

Solving for t, we get:

t = ln(1.5)/0.016

Using a calculator, we get:

t ≈ 31.25 years

Learn more about rate of change here, https://brainly.com/question/8728504

#SPJ11

Answer:

1. -25

3. 15

5. -5/4

Explanation:

Considering the given functions for a(x)

1. To solve for a(8), we'll have to use the third function since we're given that x > 1 in the 3rd function and we know that 8 is greater than 1.

So we'll have;

3. To solve for a(-7), we'll use the 1st function because -7 is less than -6 and the condition is x <= -6;

5. a(-1/2)

In this case, we'll use the 2nd function is -1/2 lies between -6 and 1.

So, we'll have;

The backward finite difference operator and the average operator are related in that they both approximate derivatives of a function.

The backward finite difference operator is a numerical approximation technique used to estimate the derivative of a function at a specific point. It involves considering the difference between the function values at the current point and a preceding point. By dividing this difference by the step size between the two points, the backward finite difference operator provides an approximation of the derivative.

On the other hand, the average operator calculates the average value of a function over an interval. It involves dividing the integral of the function over the interval by the length of the interval. The result is a single value that represents the average behavior of the function over the given interval.

The connection between the backward finite difference operator and the average operator lies in their underlying principles. Both operators involve taking the difference or average of function values to approximate the behavior of the function. While the backward finite difference operator focuses on estimating the derivative at a single point, the average operator provides an overall summary of the function's behavior over an interval. Therefore, the backward finite difference operator can be seen as a specific case of the average operator, where the interval is reduced to a single point.

Learn more about backward finite difference operator here:

https://brainly.com/question/31486162

#SPJ11

The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

Learn more about average

brainly.com/question/24057012

#SPJ11

Answer:

The first option

Step-by-step explanation:

The sum of all angles in a triangle = 180 degree

So :

Angle x + Angle 5x + 72 = 180

x + 5x + 72 = 180

6x = 180 - 72

6x = 108

Divide both side by 6 :

6x/6 = 108/6

x = 18

x = 18

since all the angles are less than 90 degree so the triangle is an acute triangle,

as 5x = 90 thus one angle is of 90 degree

Thus triangle is Acute Right angle triangle

Answer : x = 18, acute right angle triangle

We have the inequality:

-4 < (3x - 2)/5 ≤ 6

We multiply all the sides by 5:

-4*5 < 5*(3x - 2)/5 ≤ 6*5

-20 < 3x - 2 ≤ 30

Now, we add 2 to all the sides of the inequality:

-20 + 2 < 3x - 2 + 2 ≤ 30 + 2

-18 < 3x ≤ 32

Finally, we divide by 3:

-18/3 < 3x/3 ≤ 32/3

-6 < x < 32/3

Now, using interval notation:

x = (-6, 32/3]

This means that x takes all the values greater than -6 and less or equal to 32/3. Graphically, this is:

The value of the double integral of u(x, y) over the disk B is 4πR⁴ + 16πR².

To find the value of the integral of u(x, y) over the disk B, we need to evaluate the double integral of u(x, y) over the region defined by the disk B.

The equation of the disk B can be rewritten as (x - 2)² + (y - 1)² < R², which represents a circle with center (2, 1) and radius R.

Let's denote the integral of u(x, y) over the disk B as I:

I = ∬B u(x, y) dA

To evaluate this integral, we can use polar coordinates. In polar coordinates, the equation of the disk B becomes:

(r cosθ - 2)² + (r sinθ - 1)² < R²

Expanding and simplifying this inequality, we have:

r² - 4r cosθ + 4 + r² - 2r sinθ + 1 < R²

2r² - 2r(sinθ + 2cosθ) + 5 < R²

Since we are integrating over the disk B, the range of integration for r is from 0 to R, and the range of integration for θ is from 0 to 2π.

Now, we can rewrite the integral I in polar coordinates:

I = ∫[0 to 2π] ∫[0 to R] (r² - 6r²sin²θ + r² + 3r cosθ + 4r sinθ + 8) r dr dθ

Simplifying and evaluating the integrals, we get:

I = ∫[0 to 2π] ∫[0 to R] (6r³ - 6r³sin²θ + 4r² cosθ + 4r³ sinθ + 8r) dr dθ

I = ∫[0 to 2π] [2R⁴ - (2R⁴/3)sin²θ + 2R³cosθ + 2R⁴ sinθ + 8R²] dθ

I = 2π[2R⁴ + 8R²]

To know more about double integrals, click here: brainly.com/question/27360126

#SPJ11

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

Learn more about cost here: brainly.com/question/14566816

#SPJ11

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

Learn more about cost here: brainly.com/question/14566816

#SPJ11

The graph of the linear equation, 5x - 9y = -7, is in the attachment below.

The linear equation that models a graph can be written in  slope-intercept equation as y = mx + b. The value of the slope, which is the rise over the run of the line is represented as m, while the value of b, which is where the line intercepts the y-axis is b.

Given the linear equation, 5x - 9y = -7, rewrite in slope-intercept form:

5x - 9y = -7

-9y = -5x - 7

-9y/-9 = -5x/-9 - 7/-9

y = 5/9x + 7/9

This means the rise over the run of the line, m is 5/9, while the y-intercept of the graph, b is 7/9.

The graph is shown below.

Learn more about the graph of linear equation on:

https://brainly.com/question/4074386

#SPJ1

An arithmetic sequence is a list of numbers with a definite pattern.

If we take any number and subtract the previous number, the result is the same constant.(common difference)

-4, -40, -400, -4000,

-40-(4)= -40+4 = -36

-400-(-40)= -400+40 = -360

Not arithmetic

-11,-8,-5,-2

-8-(-11) = -8+11 = 3

-5-(-8)= -5+8 = 3

-2-(-5)=-2+5 = 3

Arithmetic

Common difference: d= 3

23, 17, 11, 5,

17-23 = -6

11-17= -6

5-11 = -6

Arithmetic

Common difference: d =-6

The expression that shows the surface area of the pyramid is (2 * 2) + 4(0.5 * 2 * 3)

An equation is an expression that shows the relationship between two or more variables and numbers.

The surface area of  pyramid = sum of individual area of the surface

Surface area = (2 * 2) + 4(0.5 * 2 * 3)

The expression that shows the surface area of the pyramid is (2 * 2) + 4(0.5 * 2 * 3)

Find out more on equation at: https://brainly.com/question/13763238

#SPJ1

Answer:

Step-by-step explanation:

\(5(n-3)\)

Expand

\(5\times n = 5n\\\\5\times -3 =-15\\\\5n -15\)