What is the range of the function graphed below? ​

The probability of rolling a 5 is 0.1.

To find the missing probability for rolling a 5, we can use the fact that the sum of all probabilities for all possible outcomes must equal 1.

Let's calculate the missing probability:

1. Sum the probabilities of the given outcomes: 0.1 + 0.2 + 0.3 + 0.2 + 0.1 = 0.9.

2. Subtract the sum from 1 to find the missing probability: 1 - 0.9 = 0.1.

Therefore, the missing probability for rolling a 5 is 0.1 or 10%.

Here are the steps summarized:

1. Calculate the sum of the given probabilities: 0.1 + 0.2 + 0.3 + 0.2 + 0.1 = 0.9.

2. Subtract the sum from 1 to find the missing probability: 1 - 0.9 = 0.1.

This approach ensures that the probabilities for all possible outcomes in the probability distribution add up to 1, as required. In this case, the sum of all probabilities is 0.9, so the missing probability for rolling a 5 is the remaining 0.1 or 10% needed to reach a total probability of 1.

Hence, the probability of rolling a 5 is 0.1 or 10%.

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Answer:

What expressions?

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

to calculate the mean of a list, you need to add up all the numbers and divide by the number of numbers

\(14+8+(-17)+(-8)+18=15\)

\(\frac{15}{5}=3\)

Answer:

3

Step-by-step explanation:

The average is the sum of the given numbers divided by the count (how many numbers you have):

                  14 + 8 -17 - 8 + 18            15

average = ---------------------------- = ----------- = 3

                                5                         5

The volume of the square-based pyramid is 3888 units³. Your answer is option B. 3888 units³.

The formula to calculate the volume of a pyramid is V = (1/3)Bh,

Where B is the area of the base and h is the height.

In this case, the base is a square with edge length 9 units, so the area is B = 9² = 81 units².

The height is given as 48 units.
Plugging these values into the formula, we get:
To find the volume of a square-based pyramid, you can use the following formula:

V = (1/3) * base area * height.

In this case, the base edge is 9 units and the height is 48 units.

First, find the base area:

A = side * side = 9 * 9

= 81 square units.

Next, calculate the volume:

V = (1/3) * 81 * 48 = 3888 cubic units.
V = (1/3)(81)(48)
V = 1296 units³
Therefore, the volume of the pyramid is 1296 units³, which is option b.

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Answer:

y = -1/2x + 5

Step-by-step explanation:

x + 2y = 10

Step 1: subtract x from both sides.

you will get:    2y = -x + 10

Step 2: get the y by itself, you can do this by dividing 2 by both sides.

=  2y = -x + 10

     y = -1/2x +10/2

Then, 10/2 simplifies to 5.

So, your answer is: y = -1/2x + 5

There are a maximum of 600 students in the student body.

By dividing the seating capacity of the auditorium by the number of assemblies to find the maximum number of students that can attend each assembly:

600 seats / 4 assemblies = 150 students per assembly

Therefore, there are a maximum of 150 students in each assembly. Since each assembly has an equal number of students

150 students per assembly x 4 assemblies = 600 students

So there are a maximum of 600 students in the student body.

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The correct answer is d) All of the above. Regression analysis results are often abused by using the model without understanding its context, predicting outside the data range without acknowledging extrapolation, and disregarding known scientific and economic theories related to the model and its variables.

Regression analysis is a statistical method used to examine the relationship between variables and make predictions based on the observed data. However, the misuse and misinterpretation of regression analysis can lead to erroneous conclusions.

Firstly, using the model without understanding its context can be problematic. The development and recommendation of a regression model are typically based on specific assumptions and limitations, as well as the data used in its construction. Applying the model to a different context without considering these factors may lead to inaccurate predictions or interpretations.

Secondly, predicting outside the region of the data without recognizing that it involves extrapolation is another common misuse of regression analysis. Extrapolation involves making predictions beyond the observed data range, which can be risky since the relationship between variables may not hold true outside the data range. Extrapolation should be approached cautiously and accompanied by a clear acknowledgement of its inherent uncertainties.

Lastly, ignoring known scientific and economic theory related to the model and its variables can also lead to misuse. Regression analysis should be interpreted in the context of existing theories and domain knowledge. Disregarding established theories can result in flawed conclusions or invalid interpretations of the regression model's results.

In conclusion, regression analysis should be used with care and understanding. It is crucial to consider the context, acknowledge the limitations of extrapolation, and incorporate relevant scientific and economic theories to ensure the appropriate use and interpretation of regression analysis results.

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They support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. the correct answer is (d) 0.40.

Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data

set.  The mean, median and mode are the three commonly used measures of central tendency.

To calculate the mean, we need to add the total values given in a datasheet and divide the sum by the total number of

values.

The mean, μ, of the sampling distribution of p can be found using the formula

μ = p,

where p is the proportion of adults in the entire population who support the increase.

In this case, 40% of all adults in Ohio support the increase, so p = 0.40.

Therefore, the mean of the sampling distribution of p is:

μ = 0.40

So the correct answer is (d) 0.40.

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The lateral surface area pentagonal prism is the perimeter of the base of the prism multiplied by its height. While the total area of a pentagonal prism is the sum of the areas of its two bases and its lateral surface area.

LSA= 5b * h

Where,

LSA = lateral surface area of a pentagonal prism,

b =  base of the prism

h =  height  of the prism

the pentagTSA= 5ab + 5bh

where,

The total surface area of the pentagonal prism, TSA

a=apothem length of the pentagonal prism

b= base length of the pentagonal prism

h= height of the pentagonal prism

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Answer:

take an picture of this image or draw this imagine.

Answer:

k\

Step-by-step explanation:

j

The solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)

None of the provided options (a, b, c, d) match the correct solution.

To solve the given differential equation y''(t) = 1 - t^17 with the initial condition y(1) = 12, we can integrate the equation twice.

Integrating the equation once will give us y'(t):

y'(t) = ∫(1 - t^17) dt

y'(t) = t - (1/18)t^18 + C₁

Now, we need to apply the initial condition y(1) = 12 to determine the value of the constant C₁:

12 = 1 - (1/18) + C₁

C₁ = 12 + (1/18) - 1

C₁ = 217/18

Next, we integrate y'(t) to find y(t):

y(t) = ∫(t - (1/18)t^18 + 217/18) dt

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + C₂

Finally, we apply the initial condition y(1) = 12 to determine the value of the constant C₂:

12 = (1/2) - (1/342) + (217/18) + C₂

C₂ = 12 - (1/2) + (1/342) - (217/18)

C₂ = (20619 - 1 + 6 - 819)/(342)

C₂ = 19805/342

Therefore, the solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)

None of the provided options (a, b, c, d) match the correct solution.

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Answer:

Acceleration = 2m/s ; deceleration = - 2 m/s

Distance covered :

Stage 1 = 25

Stage 2 = 50 m

Stage 3 = 25m

Average Velocity = 6.67 m/s

Step-by-step explanation:

Given that:

Acceleration = 2m/s

Final velocity, v

v = u + at

u = 0 (from rest)

v = 0 + 2(5)

v = 10 m/s

deceleration ;

Final velocity, v ;

v = u + at

v = 0 ( to rest)

0 = 10 + a * 5

0 = 10 + 5a

-5a = 10

a = 10 / - 5

a = - 2 m/s^2

Distance traveled during each stage :

Distance = speed * time

Stage1 = S = 0.5at^2 = 0.5 * 2 * 5^2 = 0.5 * 2 * 25 = 25 meters

Stage 2 = Distance = speed * time = 10m/s * 5 = 50 metres

Stage 3 = distance = S = 0.5at^2 = 0.5 * 2 * 5^2 = 0.5 * 2 * 25 = 25 meters

Average Velocity :

Total distance traveled / total time taken

(25 + 50 + 25)m / 15s

100m / 15 s

Average Velocity = 6.667 m/s

The solution set of the given homogeneous system in parametric vector form is (x1,x2,x3)=(s,-2,-5)

Parametric vector form:

If there are m-free variables in the homogeneous equation, the solution set can be expressed as the span of m vectors:

x = s1v1 + s2v2 + ··· + sm vm. This is called a parametric equation or a parametric vector form of the solution.

A common parametric vector form uses the free variables as the parameters s1 through sm

Given is a system of equations

We are to solve them in parametric form.

x1 + 3x2 + x3 = 0 --------(1)

-4x1 + 9x2 + 2x3 = 0 ---------(2)

-3x2 - 6x3 = 0--------(3)

From equation(3)

-3x2=6x3

x2=-2x3

substitute in equation(1) and equation(2)

x1+3(-2x3)+x3=0

x1-6x3+x3=0

x1-5x3=0

x1=5x3

So the solution in parametric form is (x1,x2,x3) = (s,-2,5) for all real values.

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Answer:

6-2= 4

4/4=1

Step-by-step explanation:

Hope this helps!

Answer:

1

Step-by-step explanation:

difference= subtract

so: 6-2=4

4/4=1

Hope this helps! Plz give brainliest!

According to the model, 18% of gross domestic product will go toward health care in the year 2026.

To find the year when 18% of gross domestic product (GDP) will go toward health care according to the given model, we need to solve the equation:

f(x) = 18

where f(x) represents the percentage of GDP going toward health care x years after 2006.

Given the model f(x) = 1.4 ln(x) + 13.8, we can substitute 18 for f(x):

1.4 ln(x) + 13.8 = 18

Subtracting 13.8 from both sides:

1.4 ln(x) = 4.2

Dividing both sides by 1.4:

ln(x) = 3

To solve for x, we can exponentiate both sides using the base e (natural logarithm):

e^(ln(x)) = e^3

x = e^3

Using a calculator, the approximate value of e^3 is 20.0855.

Therefore, according to the model, 18% of GDP will go toward health care in the year 2006 + x = 2006 + 20.0855 ≈ 2026 (rounded to the nearest year).

According to the model, 18% of gross domestic product will go toward health care in the year 2026.

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Complete question is below

The percentage of gross domestic product (GDP) in a state going toward health care from 2007 through 2010, with projections for 2014 and 2019 is modeled by the function f(x) = 1.4 In x + 13.8, where f(x) is the percentage of gross domestic product going toward health care x years after 2006. According to the model, when will 18% of gross domestic product go toward health care?

According to the model, 18% of gross domestic product will go toward health care in the year (Round to the nearest year as needed.)

Answer:

Solve for x.

2x2=72

−6 and 6

−8 ​ and 8​

−18 ​ and 18​

−36 ​ and 36

your answer would be -6 and 6

Step-by-step explanation:

Answer:

396237 / Estimation would be 396000 I believe.

Step-by-step explanation

Answer:

396000

Step-by-step explanation:

Answer:

8 meters of ribbon

Step-by-step explanation:

because a square has four sides so if you do 2×4 =8

Answer: No, because the sample was not random.

Step-by-step explanation:

For the results to have been valid, the sample would have had to be random meaning that only some of the people were chosen to participate at random.

Instead, EVERY woman customer was asked which means they were not chosen at random as they should have been. Also, they only surveyed women when they should have taken a proper sample consisting of all customers.

Answer:

No, because the sample was not random.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A, is the only answer with the correct slope, and when you plug the coordinates in, you get 1=1

Answer: x=9,-1

Step-by-step explanation:

First, we are gonna start out with finding two numbers that multiply to equal -9 and add up to equal -8

Those numbers would be -9 & 1

-9+1=-8

-9x1=-9

Now we have

(x-9)(x+1)

x-9=0   x+1=0

  +9 +9   -1  -1

x=9      x=-1

Answer:

x=1,--9

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero x=1,--9

The formula for f(x) is f(x) = 1/4(8 - 5x)

The equation of the function is given as:

-5x - 4y = -8

Add 5x to both sides of the equation

-4y = 5x - 8

Divide both sides both the equation by -4

y = -1/4(5x - 8)

Rewrite the above equation as:

y = 1/4(8 - 5x)

Express the above equation as a function

f(x) = 1/4(8 - 5x)

Hence, the formula for f(x) is f(x) = 1/4(8 - 5x)

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Answer:

f(x)=− 5/4x+2

Step-by-step explanation:

khan says so duh

Answer:

The graph of the function is positive on (-co, -5).

The graph of the function is negative on (3,co).

Step-by-step explanation:

We know that the roots are in: -5, 1 and 3.

and after 3, the graph is in the negative side, so between 1 and 3 the graph must be in the positive side, between -5 and 1 the graph must be in the negative side, and  between -inifinity and -5 the graph must be in the positive side:

So the statements that are true are:

The graph of the function is positive on (-co, -5).

The graph of the function is negative on (3,co).

Answer:

  d)  function is negative on (3,∞)​

Step-by-step explanation:

The even degree and negative leading coefficient tell you that the function is negative as x ⇒ ±∞. (Selections A and C cannot be correct.)

The odd multiplicity tells you the function crosses the x-axis at x=-5 and x=3, so will be non-negative between those values. (Selection B cannot be correct.)

The function is negative on (3, ∞).

The remaining zero of the polynomial 4x³ + 10x² - 6x - 20 is the quotient 4x² + 2x - 10 derived using synthetic division.

The polynomial p(x) = 4x³ + 10x² - 6x - 20 having a zero x = -2 implies that x + 2 is a factor and has another factor derived by dividing p(x) = 4x³ + 10x² - 6x - 20 by x + 2.

we shall derive the other factor using the synthetic division as follows;

divide the first term 4x³ of the polynomial by x (of x + 2) to give 4x²,

multiply x + 2 by 4x² to give 4x³ + 8x²

then subtract 4x³ + 8x² from 4x³ + 10x² - 6x - 20 to give 2x² - 6x - 20

divide 2x² (of 2x² - 6x - 20) by x (of x + 2) to give 2x

multiply x + 2 by 2x to give 2x² + 4x

then subtract 2x² + 4x from 2x² - 6x - 20 to give -10x - 20

divide 10x (of -10x - 20) by x (of x + 2) to give -10

multiply x + 2 by -10 to give -10x - 20

then subtract -10x - 20 from -10x - 20 to give a remainder of zero.

Hence, the results 4x², 2x, and -10 are the terms of the quotient 4x² + 2x - 10 and forms the remaining zeros of the polynomial p(x) = 4x³ + 10x² - 6x - 20.

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Answer:

23%

Step-by-step explanation:

Step 1. Find increase of price amount

18.75 - 15.25 = 3.50

Step 2. Find the percentage increase

- Since we are finding the percent increase, we know that we need to find 3.50 is ____% of 15.25. We can simply do 3.50/15.25, which can be simplified to approximately 0.23.

- Note that percentage = 100 times decimal

100 x 0.23 = 23

The answer is 23%

Hope this helps :)

Have a nice day!

Answer:

27

Step-by-step explanation: