x 1 2 3 4

f(X) 0.2 0.5 0.2 0.1

This problem requires R: follow the instruction on the class webpage to install Rstudio. Using the data of Problem (1), use R to do the following. (a) Plot the probability mass function. Remember to label the x and y axes. (b) Verify that the values of the probability add up to 1. (c) Plot the cumulative distribution function. Remember to label the x and y axes.

Answer: 6 cows,8 chickens,8 goose

Step-by-step explanation: Add 15+.25+1=16.25

16.25x4=65+35-32.5=2.5

6 animals each right now

6 cows

8 chickens

Answer:

It is the longest side of a right triangle.

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Answer:

I will list main feature for each property and you can choose. You can comment if you want to check or have questions

Step-by-step explanation:

Isosceles - two sides are equal

Equilateral - all sides are equal

Obtuse - one angle is greater than 90 degrees

Right - one angle is equal to 90 degrees

Scalene - none of the sides is equal

Acute - all angles are less than 90 degrees

Go down the list and see if it's true or false about the given triangle

Answer:

75

Step-by-step explanation:

The first five multiples of 5 are 5, 10, 15, 20, and 25. The sum of the first five multiples of 5 is 75.

The average atomic mass of the element in the data table is given as follows:

28.1 amu.

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

For the weighed mean, we calculate the mean as the sum of each observation multiplied by it's weight.

Hence the average atomic mass of the element in the data table is given as follows:

0.922297 x 27.977 + 0.046832 x 28.976 + 0.030872 x 29.974 = 28.1 amu.

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Answer:

The answer would be C. Inference

Step-by-step explanation:

\( \frac{2x + 1}{3} = \frac{x + 5}{2} \\ 2(2x + 1) = 3(x + 5) \\ \: \: \: \: 4x + 2 = 3x + 15 \\ 4x - 3x = 15 - 2 \: \\ \: \: \: x = 13\)

Answer:

x^2

Step-by-step explanation:

Any even number raised to two is even.

Eg: 4^2 = 16

12^2 = 144

Etc...

And

Any odd number raised to two is odd.

Eg: 5^2 = 25

13^2 = 169

Etc...

And also x^2 is greater than 2x & x+3 & x+2

A cross-sectional effect diagram, also known as an axial force-shear force-bending moment diagram or simply an internal force diagram, is a graphical representation that shows the distribution of internal forces (axial force, shear force, and bending moment) along the length of a structural member, such as a beam or column.

To draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure, we need to follow these steps:

Step 1: Identify the type of loadingFor this question, the loading conditions are {N}, {T}, {M}. So, the loading types are axial force, shear force, and bending moment.

Step 2: Draw the cross-sectional diagram of the beam. We need to draw the diagram of the cross-section of the beam in the direction of the forces acting on the beam. In this case, it will be a rectangular beam.

Step 3: Draw the effect diagrams After drawing the cross-sectional diagram, we need to draw the effect diagrams for each loading condition.

The effect diagrams are as follows: 1. Axial force diagram (N):In this case, the axial force is positive (+) which means it is a tensile force. 2. Shear force diagram (T):The shear force is negative (-) from x = 0 to x = 1, which means the shear force is acting downward. It is zero at x = 1 and then becomes positive (+) from x = 1 to x = 2, which means the shear force is acting upward. 3. Bending moment diagram (M):The bending moment is zero at x = 0, becomes negative (-) from x = 0 to x = 1, reaches a minimum at x = 1, and then becomes positive (+) from x = 1 to x = 2.

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Answer:

108+47=155

180-155=125

x=180

angles in a triangle add up to 180

The area of the region bounded by the curve r = 9cos(θ) and the sector 0 ≤ θ ≤ π/6 is \($27\pi/8 - 81/8\times \sqrt{3}$\)

The curve r = 9cos(θ) is a polar curve that forms a half-circle with a radius of 9/2. To find the area of the region bounded by this curve and the sector 0 ≤ θ ≤ π/6, we can use the formula for the area of a polar region:

\($A = \frac{1}{2} \int_{a}^{b} r(\theta)^2 d\theta$\)

In this case, a = 0 and b = π/6, and the curve is given by r(θ) = 9cos(θ). Substituting these values into the formula, we get:

\($A = \frac{1}{2} \int_{0}^{\frac{\pi}{6}} (9\cos(\theta))^2 d\theta$\)

Simplifying and evaluating the integral gives:

\(A = \frac{1}{2} \int_{0}^{\frac{\pi}{6}} 81\cos^2(\theta) d\theta\\\\ = \frac{1}{2}\left(\frac{81}{2}\cdot\frac{\pi}{6}+\frac{81}{4}\cdot\sin\left(\frac{\pi}{6}\right)\right)\\ \\ = \frac{27\pi}{8} - \frac{81}{8}\sqrt{3}\)

Therefore, the area of the region bounded by the curve r = 9cos(θ) and the sector 0 ≤ θ ≤ π/6 is \($27\pi/8 - 81/8\times \sqrt{3}$\)

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Greta received $26.29 for each pepper and squash, $52.58 for tomatoes, and $133.45 for corn.

To solve this problem, it is necessary to use algebraic equations. Let's consider the given problem:

Greta sold $200 worth of vegetables. She received the same amount of money for the peppers as she did for the squash. Let the price of each pepper and each squash be x.

Then she received 2x from the tomatoes. The total amount of money received from the tomatoes, peppers, and squash is 2x + x + x = 4x. The money she made from corn was $8 more than she made from the other three kinds of vegetables combined.

Therefore, if we add the amount of money made from corn, the total amount becomes 4x + 8.

We now know that the total amount of money from the sale of all four vegetables is $200. Thus, 4x + 8 + y = 200, where y is the amount received from the corn.

4x + y = 192.

We know that y is 8 dollars more than the sum of the other three vegetables. That is, y = 2x + x + 8 = 3x + 8.Substitute the value of y into the equation. 4x + 3x + 8 = 192.

7x = 184.

x = 26.29

Let the price of corn be c. Then,c = (2x + 2x + 8) + x = 5x + 8 = 133.45So, Greta received $26.29 for each pepper and each squash, $52.58 for the tomatoes, and $133.45 for the corn.

In summary, Greta received $26.29 for each pepper and squash, $52.58 for tomatoes, and $133.45 for corn.

How do you know you are correct?

The total amount of money Greta received should be equal to $200. So, let's check if this is true or not: $26.29 (pepper) + $26.29 (squash) + $52.58 (tomato) + $133.45 (corn) = $200.01

Hence, our answer is correct.

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Answer:

$72

Step-by-step explanation:

Let t = Tires

Let O = Oil change

Given the following data;

Oil change, O = $47

Translating the word problem into an algebraic equation, we have;

4t + O = $335

Rearranging the equation, we have;

\( 4t = 335 - O\)

Substituting the value of O;

\( 4t = 335 - 47\)

\( 4t = 288\)

\( t = \frac {288}{4}\)

t = 72

Therefore, the cost of each tire is $72.

Answer:

Hi there!

Your answer is:

7, 8, 9, 10

Step-by-step explanation:

to determine this:

x, x+1, x+2, x+3 = 34

x+ x+1 +x+2 + x+3 = 34

Combine like terms!

4x +6 = 34

-6

4x = 28

/4

x = 7

SO:

plug 7 into your equation to determine integers!

7, (7+1), (7+2), (7+3)

7, 8 , 9, 10

I hope this helps!

Answer:

$58

Step-by-step explanation:

James needs $125 total but needs $67 more for it.

You can find how much he has by doing 125 - 67 = 58

Answer:

14 weeks

Step-by-step explanation:

Let's create and equation to display this situation. Toby already has $70 saved, so that is not the variable and no x should go next to it. He is saving $15 more each week. Lastly, we want to end up with $280 saved. The equation will look like this, given the information:

15x + 70 = 280

To find how many weeks it will take, solve the equation!

15x = 210            Subtract 70 from 280

x = 14                  Divide 210 by 15

Therefore, it will take Toby 14 weeks to save up for a new skateboard.

Hope this helps! If you have any questions about my work, please let me know down in the comments!

Amani earns 59 dollars in a week if she sells 18 books.

Amani earns a base amount of $41 per week for working part-time at the bookstore. In addition to that, she earns an extra dollar for each book she sells. The equation A = 41 + b represents her total earnings, where A represents the amount she earns and b represents the number of books she sells.

To find out how much Amani earns in a week if she sells 18 books, we substitute the value of b (18) into the equation:

A = 41 + 18

This simplifies to:

A = 59

Therefore, if Amani sells 18 books in a week, she will earn $59.

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Answer:

A. $32.89

Step-by-step explanation:

Take the amount and divide by the number of movies watched

26.91 / 9 =2.99

Now multiply by the new number of movies he wants to watch, 11

2,99 *11

32.89

Answer:

A) $32.89

Step-by-step explanation:

We divided 26.91 by 9 to find how much it is per movie

26.91/9

2.99

It is 2.99 for 1 movie so now we multiply by 11 to find all 11 movies price

2.99x11

$32.89

Hopes this helps please mark brainliest if you would like to learn cross multiply way just let me know

Answer:

2280 ft^2

Step-by-step explanation:

A rectangular prism has 6 faces. Each pair of opposite faces is congruent.

surface area = 2LW + 2LH + 2WH

surface area = 2(24 ft)(20 ft) + 2(24 ft)(15 ft) + 2(20 ft)(15 ft)

surface area = 960 ft^2 + 720 ft^2 + 600 ft^2

surface area = 2280 ft^2

Answer:

y = 2.35x

Step-by-step explanation:

(21.15-16.45)/(9-7) = Slope = 2.35

------

y = ax + b

y = 2.35x + b

------

Plug it in

------

16.45 = 2.35(7) + b

16.45 = 16.45 + b

b = 0

------------

y = 2.35x

Answer:

(8, - 1 )

Step-by-step explanation:

x - 2y = 10 → (1)

x + 3y = 5 → (2)

subtract (2) from (1) term by term to eliminate x

(x - x) + (- 2y - 3y) = 10 - 5

0 + (- 5y) = 5

- 5y = 5 ( divide both sides by - 5 )

y = - 1

substitute y = - 1 into either of the 2 equations and solve for x

substituting into (2)

x + 3(- 1) = 5

x - 3 = 5 ( add 3 to both sides )

x = 8

solution is (8, - 1 )

Answer:

x = 8, y = -1.

Step-by-step explanation:

x - 2y = 10

x + 3y = 5      Subtracting this equation from the first one:

0 - 5y = 5

y = -1

Plug y = -1 in the second equation:

x + 3(-1) = 5

x - 3 = 5

x = 5 + 3

x = 8.

Answer:

32

Step-by-step explanation:

8x4= 32

9514 1404 393

Answer:

  3

Step-by-step explanation:

Vertical angles share a vertex point, and have opposite rays for sides. In short, they are across the point of intersection from each other. Vertical angles do not have a common side (they are not adjacent).

The first part of the problem is to identify angle NCA. That is shown in red in the attachment. The vertical angle is across the point of intersection. It is angle 3.

The maximum and minimum measurements are 5 and -3 respectively.

f ( x ) = -x^3 +3x^2+ 45 x + 10

f' l x ) = 0

0 = - 3x^2 +6x +45

x = 5,- 3.

f ( 4 ) = - ( 4 )^3+ 3( 4 )^ 2 + 45 ( 4 ) + 10 = 174

f ( - 4 ) = - ( - 4 )^3 + 3( - 4 )^2 + 45(- 4) + 10 = - 58

f ( - 3 ) = -(- 3 )^3 + 3 ( - 3)^2 + 45 (- 3) + 10 = - 7 1

+ ( 5 ) = -(5)^3 + 3(5 )^2 +45(5)+ 10 = 185

Absolute maximum = maxis{ f(4 ),f(5),f(-4),f( - 3 )}

                        = 185 at x=5

Absolute mininum=minis{f(4 ),f(5),f(-4),f( - 3 )}

                      = - 71 at x= -3

In light of this, the maximum and minimum values are 5 and -3, respectively.

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Answer:

x = 4

Step-by-step explanation: hope this helps!!

Answer:

(-4,3)

Step-by-step explanation:

the rule for 90⁰ counterclockwise is (-y,x).

Answer: Big Lift Equipment

Step-by-step explanation:

From the question,

High Top Cranes charges $744 for delivery and $3,290 per day. Since Builder's Construction Company leases a crane for 11 days, the cost will be:

= $744 + $3290(11)

= $744 + $36190

= $36934

Big Lift Equipment charges $1,428 for delivery and $3,214 per day. Since Builder's Construction Company leases a crane for 11 days, the cost will be:

= $1428 + $3214(11)

= $1428 + $35354

= $36782

Based on the calculations, Big Lift Equipment has a lower cost