Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:

Color of Tile Purple Pink Orange
Number of times the tile is drawn 6 18 26
What is the experimental probability that Jenny will pull out an orange tile? (5 points)

a
fraction 18 over 26

b
fraction 24 over 26

c
fraction 24 over 50

d
fraction 26 over 50

The linear equation that describe the relationship between the book collection by Cameron, c and Kenji, c each month is represented as c = k - 11.

Linear equations are defined as the equations of degree one. It is represents equation for the straight line. The standard form of linear equation is written as, ax + by + c = 0, where a ≠ 0 and b ≠ 0. We have specify that Cameron collects and his friend Kenji start collecting the old books. The above table figure which contains data of books collected by both in different months. We have to determine the equation many books Cameron will have (c) when Kenji has k books. Let c and k denotes the books collected by Cameron and Kenji respectively. We see there is always increase in old book collection by one in case of both of them (Cameron and Kenji) each month. So, there exits a linear equation. Also, from the table, the Kenji's book collection is always 11 units less from Cameron's book collection. So, the required equation is written by c = k - 11 for each month. Hence, the required equation is equal to c = k - 11.

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Complete question:

The above figure complete the question.

Cameron collects old books, and they convinced their friend Kenji to start collecting as well. Every month, they go to the store together, and they each buy a book. This table shows how many books they each have: They both want an equation they can use to find how many books Cameron will have (c) when Kenji has k books. Complete their equation.

Answer:

c=k+11

Step-by-step explanation:

Based on the amount deposited and the period of compounding, the amount on October 1 will be $1,440.63

First find the number of days of compounding:

= 8 days in August + 30 days in September + 1 day in October

= 39 days

The interest per day is:

= 5.5% / 365 days a year

= 5.5/365%

Amount in savings is:

= Amount x ( 1 + rate) ^ number of periods

= 1,432.19 x ( 1 + 5.5/365%)³⁹

= $1,440.63

In conclusion, the account would have $1,440.63

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Answer:

The answer is

Step-by-step explanation:

-31p+79 > -59p+81

Group like terms

Send the constants to the right side of the expression and those with variables to the left side

That's

- 31p + 59p > 81 - 79

Simplify

We have

28p > 2

Divide both sides by 28

We have the final answer as

Hope this helps you

The equation of a given situation:

                  2x - 157 = 755

Dave Winfield has 465 home runs.

Hank Aaron has 157 runs fewer than twice the runs that Dave Winfield has.

Hank Aaron hits 755 home runs.

Assume that Dave Winfield has X runs.

The equation is 2x - 157 = 755 --------------------------- (1)

solving the equation (1),

    2x - 157 = 755

⇒ 2x = 755 + 157

⇒ 2x = 912

⇒ x = 456

∴ Dave Winfield has 465 home runs.

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a. The equation of the line passing through the points (9, -3) and (7, -11) in slope-intercept form is y = 4x - 39. b. The equation y = 4x - 39 represents the linear model for the given data points.

To find the equation of a line in slope-intercept form, we need to determine the slope (m) and the y-intercept (b). Given the data points (9, -3) and (7, -11), we can calculate the slope using the formula m = (y2 - y1) / (x2 - x1). Substituting the values, we have m = (-11 - (-3)) / (7 - 9) = -8 / -2 = 4.

Next, we can use the slope-intercept form, y = mx + b, and substitute the slope and one of the points (7, -11) to solve for the y-intercept. -11 = 4(7) + b, which gives b = -11 - 28 = -39.

Therefore, the equation of the line in slope-intercept form is y = 4x - 39. This equation represents the linear model for the given data points, where the value of y is determined by the value of x multiplied by the slope (4) and adjusted by the y-intercept (-39).

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Answer:

x = 5 ; z = 70

Step-by-step explanation:

Vertical angles have the same degree measure

(13x + 45) = 110

13x + 45 = 110

      -45     -45

13x = 65

/13     /13

x = 5

Complementary angles add up to 180°

110 + z = 180

-110         -110

z = 70

Answer:

X = 5º

Z = 70º

Step-by-step explanation:

So we know that vertical angles are congruent. So what we do to figure out x is set the equation equal to 110º because we are given that. And then we solve for x.

(13x + 45) = 110

13x + 45 = 110

      -45      -45

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

13x = 65

÷13     ÷13

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

x = 5

Now, we plug x into the equation. (13x5 + 45) = 110 so we know that x = 5

Now, we also know that a straight line equals 180º so what we do is subtract 110 from 180.

180 - 110= 70º

z = 70º

Answer:

(1 , 4)

Step-by-step explanation:

x=1

y=4

Answer:

Volume = Length × Width × Height. Use this formula.

Answer:

multiply opposite side and the answer is ready now because check your soulation

The top one represents y as a function of x

Answer:

the first one

Step-by-step explanation:

when x is a function of y it looks the same just the opposite way around and the second one is not a function because line is not strait.

From the information give we can calculate the R2=0.3643. Therefore, 36.43% of the variation in the observed y-values can be explained by the estimated regression equation. The correct answer is A.

To calculate the coefficient of determination (R²2), we need to use the formula:

R² = 1 - (SSE / SST)

where SSE is the sum of squares due to error, and SST is the total sum of squares.

Given SSE = 903.51 and SST = 1421.2, we can calculate:

R² = 1 - (903.51 / 1421.2) = 0.3643

R² measures the proportion of the total variation in the response variable (area of scar tissue) that is explained by the predictor variable (micrograms of asbestos inhaled).

In this case, the R² value is 0.3643, which means that about 36.43% of the variation in the observed y-values (area of scar tissue) can be explained by the estimated regression equation using micrograms of asbestos inhaled as the predictor variable.

This suggests that other factors may also be important in determining the area of scar tissue in mesothelioma patients. Therefore, option A is the correct answer.

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Answer:

121 is answer.brrooo

Step-by-step explanation:

hope it helps

The polygon A' B' C' D' is a rotated image of the original polygon ABCD that is formed by a transformation of a plane figure. In order to describe how the polygon ABCD can be rotated 90 degrees clockwise about point C to form the polygon A' B' C' D', it's important to understand some fundamental concepts related to geometry.

A polygon is a two-dimensional plane figure that is defined as a closed shape with straight lines. A polygon consists of line segments that are joined to form a closed shape. In simple terms, a polygon is a shape that has three or more straight sides and angles. Rotation is the process of turning an object around a fixed point called the center of rotation. When an object is rotated, it changes its position or orientation in space while keeping its shape and size the same. Clockwise rotation is a type of rotation that turns an object in the clockwise direction.

The rotation of a polygon can be described as a transformation of a plane figure. The transformation changes the position and orientation of the polygon while preserving its shape and size. In this case, polygon ABCD is rotated 90 degrees clockwise about point C to form polygon A' B' C' D'.  Polygon ABCD is a two-dimensional plane figure plotted on a coordinating plane that is rotated 90 degrees clockwise about point C to form polygon A' B' C' D'. The process of rotating a polygon involves turning it around a fixed point called the center of rotation.

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We have

a number between 28 and 33

We have the number 30

The prime factorization is

as we can see it has prime factors of 2 and 5 and it is between 28 and 33

Answer:

24 quarts of green paint

Answer:

blue

Step-by-step explanation:

Function B equation is

The y-intercept is when x=0, in our case

Function A

y-intercept =3

Function B

y-intercept=-5

As we can see

The y-intercept of Function A is greater than the y-intercept of Function B.

Answer:

100 cubic in

Explanation

step 1: divide the figure into two

step 2 : find area then multiply by height of the cuboid

step 3 : add both

Answer:

The answer is 100.

Step-by-step explanation:

Volume = weight times height times length = 5 times 1 times 8 = 40

Volume = weight times height times length = 5 times 2 times 6 = 60

So now that we have the volume of each rectangular prism, we must add them together to get the full volume.

60 + 40 = 100

Answer:

8

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle

7x - 4 + 9x + 4 = 128° add like terms

16x = 128 divide both sides by 16

x = 8

The range of the number of video games owned for the cluster is from 6 to 10.What is a scatter plot?A scatter plot is a chart that shows the relationship between two sets of data.

Scatter plots are used to find the correlation or relationship between two variables. The scatter plot shows the result of how many video games owned by a group of children aged 6 to 10.The horizontal axis is labeled Age, in years, and the vertical axis is labeled Video games owned. Points are plotted at (six, four), (six, eight), (six, nine), (six, ten), (seven, five), (seven, eight), (seven, nine), (seven, ten), (eight, eight), (eight, nine), (nine, eight), (nine, nine), (ten, two).To find out the range of the number of video games owned for the cluster, we need to observe the graph. We can see that there is a cluster of data points at age six.

This cluster of data points includes video games owned by children aged six. We can see from the graph that the cluster ranges from four to ten, but as we are asked for the range of number of video games owned for the cluster, so the range of the number of video games owned for the cluster is 6 to 10.Hence, the correct answer is "6 to 10".

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Setting x1 to zero in the equation 2x1 + 1x2 = 30 results in the value of x2 being 30.

The given equation is 2x1 + 1x2 = 30, where x1 and x2 represent variables. To find the value of x2 when x1 is set to zero, we substitute x1 with zero in the equation.

By replacing x1 with zero, we have 2(0) + 1x2 = 30. Simplifying further, we get 0 + 1x2 = 30, which simplifies to x2 = 30.

When x1 is set to zero, the equation reduces to a simple linear equation of the form 1x2 = 30. Therefore, the value of x2 in this scenario is 30.

Setting x1 to zero effectively eliminates the contribution of x1 in the equation, allowing us to focus solely on the value of x2. In this case, when x1 is removed from the equation, x2 becomes the sole variable responsible for fulfilling the equation's requirement of equaling 30. Thus, x2 is determined to be 30.

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In some cases, when analyzing probabilistic systems, we need to use an initial probability matrix and multiply it by the transition matrix, while in other cases, we can simply multiply the transition matrix to find a certain probability.

When using an initial probability matrix, it is typically because we want to determine the probability distribution of a system at its initial state. This initial probability matrix represents the likelihood of the system being in each possible state at the beginning. By multiplying the initial probability matrix by the transition matrix, which represents the probabilities of transitioning between states, we can calculate the probability distribution of the system at subsequent time steps.

On the other hand, there are situations where we are interested in finding the probability of a specific event occurring after a certain number of transitions. In such cases, if the initial probability distribution is not relevant or already known, we can directly multiply the transition matrix by itself multiple times. Each multiplication represents a transition, and the resulting matrix gives us the probabilities of reaching different states after a specific number of transitions.

In summary, using an initial probability matrix multiplied by the transition matrix helps us determine the probability distribution of a system at its initial state and subsequent time steps. On the other hand, if we are specifically interested in the probability of a certain event after a certain number of transitions, we can directly multiply the transition matrix by itself without considering the initial probabilities. The choice between these approaches depends on the specific context and the information we seek to obtain.

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Answer:

1 5/32

Step-by-step explanation:

First, find common denominators. What you do to the denominator, you must do to the numerator.

First, multiply 4 to both the numerator and denominator of the second fraction:

(7/8)(4/4) = (7 * 4)/(8 * 4) = 28/32

Next, add across:

9/32 + 28/32 = 37/32

Simplify. Turn the improper fraction into a mixed fraction:

37/32 = (32 + 5)/32 = 1 5/32

1 5/32 is your answer.

~

Answer:

37 /32

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 8 and 32 is 32

For the 1st fraction, since 8 × 4 = 32,

7 /8  =  7 × 4

       8 × 4 =  28 /32

Likewise, for the 2nd fraction, since 32 × 1 = 32,

9 /32  =  9 × 1

          32 × 1 =  9 /32

Add the two fractions:

28 /32 +  9/32 =  28 + 9 /32  =  37 /32

So, 7/8 + 9/32 = 37/32

In mixed form: 1 5 /32

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Answer:

B 1/7^2

D 7^-10 / 7^-8

Step-by-step explanation:

7^-2

We know that a^-2 = 1/a^2

1/7^2 = 1/49

We also know that anything with a power of 2 in the denominator is good

7^-8 / 7^-10 = 7^2  

7^-10 / 7^-8 = 7^-2 = 1/7^2 = 1/69  that is the second answer

Answer:

Step-by-step explanation:

Answers C and D are correct.  

Note that in C we have    7^(-8)

                                         ---------- ,  

                                          7^(-10)

which is equivalent to 7^(-8 + 10), or 7^2, or 49.

Answer:

X is a rational number

Step-by-step explanation:

if b is not rational X+b will not be rational

(a) NFA for strings over {0,1} containing both 00 and 010 as substrings:

q0 --0--> q1 --0--> q2 --1--> q1 --0--> q3 --1--> q4

(b) NFA for strings containing at least one of the strings ab, ba, or bbb:

q0 --a--> q1 --b--> q2

|      |      |

+--b---+      +--a---+

  |               |

  +-------b-------+

(a) To construct an NFA that accepts all strings over {0,1} containing both "00" and "010" as substrings, we can use the following diagram:

     0        1

→ q0 ──► q1 ──► q2 ◄─

      ▲              │

      │   0       1  │

      └───► q3 ──► q4

In this NFA:

- q0 is the initial state.

- q2 is the accepting state.

- q1 and q3 are nondeterministic states.

The transitions are as follows:

- From q0, upon reading a 0, we move to q1.

- From q1, upon reading a 0, we move to q2.

- From q2, upon reading a 1, we move back to q1 (nondeterministic transition).

- From q1, upon reading a 0, we move to q3.

- From q3, upon reading a 1, we move to q4.

(b) To construct an NFA that accepts all strings containing at least one of the strings "ab", "ba", or "bbb", we can use the following diagram:

    a         b

→ q0 ──► q1 ──► q2 ◄─

      ▲              │

      │   a       b  │

      └───► q3 ──► q4

         ▲   ▲

         │   │

         a   b

         │   │

         └───┘

In this NFA:

- q0 is the initial state.

- q2 and q4 are accepting states.

- q1, q3, and q4 are nondeterministic states.

The transitions are as follows:

- From q0, upon reading an 'a', we move to q1.

- From q1, upon reading a 'b', we move to q2.

- From q1, upon reading an 'a', we move to q3.

- From q3, upon reading a 'b', we move to q4.

- From q0, upon reading a 'b', we move to q4.

- From q3, upon reading an 'a', we move back to q3 (nondeterministic transition).

- From q4, upon reading a 'b', we stay in q4 (nondeterministic transition).

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The complete question is:

Construct an NFA to accept each of the following languages. Make sure that your machine contains at least one nondeterministic state.

(a) Construct an NFA to accept all strings over {0, 1} containing both "00" and "010" as substrings.

(b) Construct an NFA to accept all strings that contain at least one of the strings "ab," "ba," or "bbb."

The person should order around 10,941 pens to get through 3 weeks of school.

Sales are actions involving the sale of goods or the volume of items sold during a specified time frame. A sale also includes the provision of a service for a fee.

Here, 521 pens are sold per day in the school store.

The number of days present in 3 weeks is 21 days.

Then, for 21 days, the number of pens required is calculated by multiplying the number of days and the number of pens.

So, 21 x 521 = 10,941 pens.

Therefore, the person should order 10,941 pens.

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Answer:

either 81 or 162

Step-by-step explanation:

I got 81 by 27×12

162=27×12×2