Which of the following is the best description of the distribution of points earned?
A) Approximately normal
B) Bimodal without a gap
C) Bimodal with a gap
D) Skewed to the right without a gap
E) Skewed to the right with a gap

The linear function in slope-intercept form that represents the equation is given as follows:

y = 15 + 25x.

The variables are given as follows:

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which:

He began the year with 15 terms on the list, hence the parameter b is given as follows:

b = 15.

Of the 35 new terms in each chapter, Mr. Snow puts the definitions of 10 terms on the wall and adds the remaining terms to the vocabulary list to be memorized, hence the slope m is obtained as follows:

m = 35 - 10

m = 25.

Then the function is:

y = 25x + 15.

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The argument is valid. If a number is not prime, it does not imply that the number is odd.

The given argument is invalid. The argument's structure follows the form of denying the consequent (modus tollens). However, the argument itself contains a logical flaw. While it is true that all prime numbers greater than 2 are odd, it does not follow that a number being not prime implies it is not odd.

The argument assumes that the negation of being prime automatically leads to not being odd, which is not necessarily true. There exist non-prime numbers that are odd, such as 9, 15, and 21. Therefore, the fact that a number is not prime does not guarantee that it is not odd.

To establish the conclusion that a number is not odd based on it not being prime, additional information or reasoning is needed. Hence, the argument is invalid.

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Answer:

Step-by-step explanation:

Find the missing value of x in the arithmetic sequence below.

6, 2, x, -6, -10

6 - 4 = 2

2 - 4 = -2

-2 -4 = -6

-6 -4 = -10

☯︎ Let us find common difference,d by subtracting first term from second .i e.,\( a_2-a_1\) ,where \(a_1\) and \(a_2\) are first and second term .

✰common difference,d= 2-6 = -4

General term of Arithmetic Sequence,

\(\boxed{a_n = a+(n-1)d}\)

where,

So,

❄︎\(a_3 = a+(3-1)d\)

➪x = 6 + 2 × (-4)

➪x = 6 +(-8)

➪x = 6-8

➪x = -2

A parametric representation of the solution set of the linear equation 3x - 6y = 0 is given by the equations:

x = 2t , y = t

To find a parametric representation of the solution set of the linear equation 3x - 6y = 0, we can express x and y in terms of a parameter t. Let's solve the equation:

3x - 6y = 0

First, we can divide both sides by 3 to simplify the equation:

x - 2y = 0

Now, let's express x and y in terms of t:

x = 2t

y = t

Therefore, a parametric representation of the solution set of the linear equation 3x - 6y = 0 is given by the equations:

x = 2t , y = t

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The probability of an element being selected is 0.1

The probability of an element being selected on the first selection from a simple random sample of 40 elements from a population of 400 is 0.1

Explanation: Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

Probability is used in statistical analysis to make predictions and draw conclusions about data.

In this question, the population consists of 400 elements, and a simple random sample of 40 elements is to be drawn from it.

The probability of an element being selected on the first selection is the same as the probability of any one of the 400 elements being selected, which is 1/400 or 0.0025.

Therefore, the correct answer is option (d) 0.1

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Step-by-step explanation:

To determine the line of regression, we can use linear regression analysis. Using this method, we find that the line of regression is:

y = -157 + 40.2x

To determine if this regression line would be a good predictor of other data points, we need to look at the correlation coefficient (r-value). The r-value for this data set is 0.964, which is quite high and indicates a strong positive correlation between x and y.

Therefore, we can conclude that the regression line y = -157 + 40.2x would be a good predictor of other data points within the range of x-values in the original set.

The equation that models the balance y after x months is;

y = 1,700 - 130x

What is Equation of line?

The equation of line with slope m and y intercept at point b is given as;

y = mx + b

Given that;

Zachary purchased a computer for $1,700 on a payment plan.

Seven months after he purchased the computer, his balance was $790.

Eight months after he purchased the computer, his balance was $660.

Now, Let months is represented by x and models the balance is represented by y.

So, We get;

For 0 months, balance is $1,700.

For 7 months, Balance is $790

For 8 months, balance is $660.

So, Slope = (1,700 - 790) / 7

               = 910/7

               = 130

And, Slope = (1,700 - 660) / 8

                = 1,040/8

                = 130

So, The equation with slope 130 and starting balance $1,700 will be;

y = 1,700 - 130x

Thus, The equation that models the balance y after x months is;

y = 1,700 - 130x

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Explanation:

This equation represents a line, so there are many points that are solutions to the equation. To fill in this boxes we just have to pick a x-value that's in the domain, replace it into the equation and solve for y. The domain of this function is all real numbers, so any number will work.

Using x = 1:

Answers:

A solution is (-24) = 8( 1 ) - 32

Vector equation of the line tangent to the graph of r(t) at the point p0 on the curve r(t) = (3t - 1) i + 13t j + 4 k.

To find a vector equation of the line tangent to the graph of r(t) at the point P0 on the curve r(t) = (3t - 1) i + 13t j + 16 k, where P0 is given as (-1,4), we can use the following steps:

Step 1: Find the derivative of r(t) with respect to t:

r'(t) = 3 i + 13 j

Step 2: Evaluate the derivative at the point P0:

r'(-1) = 3 i + 13 j

Step 3: Use the point P0 and the vector r'(-1) to form the vector equation of the tangent line:

r(t) = P0 + r'(-1) t

where t is a scalar parameter.

Plugging in the values, we get:

r(t) = (-1)i + 4j + (3i + 13j)t

Simplifying, we get:

r(t) = (3t - 1) i + 13t j + 4 k

Therefore, the vector equation of the line tangent to the graph of r(t) at the point P0 on the curve

r(t) = (3t - 1) i + 13t j + 16 k  is

r(t) = (3t - 1) i + 13t j + 4 k.

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We will likely do exercise regularly as part of your weekly schedule.

As there are so many benefits of exercise, so we will likely do exercise regularly as part of your weekly schedule.

Therefore, we will likely do exercise regularly as part of your weekly schedule.

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Answer:

Step-by-step explanation:

Since the cookies is circular in nature, we will use the formula for calculating the area of circle to calculate the area if each cookies.

Area of each cookies = πd²/4

Given diameter d = 8cm

Area of the cookies = π(8)²/4

Area of the cookies = 64π/4

Area of the cookies = 16π cm²

Answer:

16 pi ^2

Step-by-step explanation:

um yes

Answer:

72

Step-by-step explanation:

A person can read 24 pages in 1/3 hour.  There are 3 * 1/3 hours in 1 hour.

So, the person can read 24 * 3 = 72 pages in one hour.

Answer:

115 enjot broooooooooooo

Answer:

Step-by-step explanation:

i don't see a statement but use 7 i guess

The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.

To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:

- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.

- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.

- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.

- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.

Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.

Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.

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Answer:

6

Step-by-step explanation:

Use a calculator

Answer:

Hello! your answer will be C.

Answer:

4x+3

Step-by-step explanation:

Answer:

A. 4x+3

Step-by-step explanation:

Combining like terms 8x and −4x

Will give you the asnwer to 4x

which will give you 4x + 3

The factor form of the quadratic equations are listed below:

In this problem we find ten cases of quadratic equations that must be factorized by means of algebra properties, now proceed to determine the factor form of each case:

Case 1

8 · x² - 8 · x - 336

8 · (x² - x - 42)

8 · (x - 7) · (x + 6)

Case 2

36 · x² - 12 · x + 45 · x - 15

12 · x · (3 · x - 1) + 15 · (3 · x - 1)

(12 · x + 15) · (3 · x - 1)

3 · (4 · x + 5) · (3 · x - 1)

Case 3

- 12 · x² - 10 · x + 8

- 2 · (6 · x² + 5 · x - 4)

- 12 · [x² + (5 / 6) · x - 2 / 3]

- 12 · (x - 1 / 2) · (x + 4 / 3)

Case 4

16 · x² - 100

4 · (4 · x² - 25)

4 · (2 · x - 5) · (2 · x + 5)

Case 5

16 · x² - 9

(4 · x - 3) · (4 · x + 3)

Case 6

25 · x² + 10 · x - 75 · x - 30

5 · x · (5 · x + 2) - 15 · (5 · x + 2)

(5 · x - 15) · (5 · x + 2)

5 · (x - 3) · (5 · x + 2)

Case 7

6 · x² - 72 · x + 162

6  · (x² - 12 · x + 27)

6 · (x - 9) · (x - 3)

Case 8

- 21 · x² + 84 · x + 6 · x - 24

- 21 · x · (x - 4) + 6 · (x - 4)

(- 21 · x + 6) · (x - 4)

- 3 · (7 · x + 2) · (x - 4)

Case 9

36 · x² - 60 · x + 25

36 · [x² - (5 / 3) · x + 25 / 36]

36 · (x - 5 / 6)²

Case 10

490 · x² - 810

490 · (x² - 810 / 490)

490 · (x - 9 / 7) · (x + 9 / 7)

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Answer:

11/20

Step-by-step explanation:

5 cents is worth $0.05.

A quarter is worth $0.25.

A dime is worth $0.10

A nickel is worth $0.05

A penny is worth $0.01

In total there are 40 coins in the jar.

The coins that are worth more than $0.05 dollars are the dimes and quarters, so there are 22 coins worth more than $0.05.

Therefore, the probability of of picking a coin worth more than 5 cents is:

22 / 40 = 11/20

Answerpizza:

Step-by-step explanation:

Answer:

100 %

Step-by-step explanation:

n<13, you only have numbers from 1 to 12. This means that any number that you will pick will be less than 13

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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The function g tells us the amount of remaining water.

The variable x gives us how much time has passed.

Given g(840) = 0,

We can see that the variable x is 840 and the functional value of g is 0.

This means at after 840 minutes the amount of water in the pool will be zero.

Looking at the choices, the correct answer is >>>

Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

Answer:

The answer is b

Step-by-step explanation:

(4x+5)(16^2-20x+25)

P(tail) = Probability of getting a tail on the coin

P(tail)=1/2

P(4)=Probability of getting the number '4' on the dice.

P(4)=1/6

P(tail and 4)=Probability of getting tail on the coin and number '4' on the dice.

P(tail and 4)=p(tail multiply with 4)

P(tail and 4)= 1/2×1/6

P(trail and 4)=1/12

Hope this helps!