A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

A table showing Discount Cards Fundraiser with two columns and six rows. The first column, Cards Sold, has the entries, 10, 20, 30, 40, 50. The second column, Remainder of Goal, has the entries, $875, $795, $715, $635, $555.

Which word describes the slope of the line representing the data in the table?

The words that describe probability that he will land on white is impossible. The Option D.

Probability is math branch that deals with finding out the likelihood of the occurrence of an event.

Here, the spinner is divided into four equal-sized sections, the probability of landing on any specific color will be:

= Either of red, green, yellow or blue / 4

= 1/4.

it is mentioned that if Luke lands on a line between the colors, he keeps spinning until he lands on a color. This means that there is no chance of landing on white directly.

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Answer:

The answer is A. f(1) = 5

Step-by-step explanation:

If f(x) is a function it can have only one value per x value, so f(1) = 1 cannot be true

Answer:The answer is B. f(2) = 1

Step-by-step explanation:

If f(x) is a function it can have only one value per x value, so f(1) = 1 cannot be true

Rounding 9.69 to the nearest whole number gives us 10.

Given that we need to round the decimal number 9.69 to the nearest whole number,

To round 9.69 to the nearest whole number, we look at the decimal part of the number, which is 0.69.

Since the decimal part is greater than or equal to 0.5, we round the whole number up to the next higher number. In this case, 9.69 is closer to 10 than to 9, so we round it up to 10.

Therefore, rounding 9.69 to the nearest whole number gives us 10.

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The Probability that 4 games will be played in total and determine the likelihood that b will win the game are 2[(p³(1-p) + p(1-p)³] and p² / [p² + (1-p)²]

Given that,

A and B engage in a number of games. A and B each win a game with a probability of p and 1-p, respectively. They come to an end when one player has two more victories overall than the other player. The contest is decided by whoever player has accrued the most victories overall.

To find : The Probability that 4 games will be played in total and determine the likelihood that b will win the game.

Determine first which exact order of wins causes games.

The first game is won by A: B triumphs in game two ( if A wins again, Awon and the game is over)A or B might win the following two games to give themselves a two-game lead equivalently in the scenario if B triumphs in game one.

The ordering can be ABAA, ABBB, BAAA, or BABB.

P(4 games  precisely) = P(ABAA) + P(ABBB) + P(BAAA)+ P(BABB)

P(4 games  precisely)  = 2[(p³(1-p) + p(1-p)³]

The likelihood that b will win the game is therefore 2[(p3(1-p) + p(1-p)3] and the probability that 4 games will be played overall. as well as p2 / [p2 + (1-p)2]

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There are infinitely many solutions to an equation with two variables.

We know that an equation is a mathematical statement that contains equal symbol between two mathematical expressions.

In this question need to solve  an equation with x and y in one equation.

Consider an equation with two variables: 5x + y = 8

If we solve given equation for x then it would be,

5x + y = 8

5x + y - y = 8 - y

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

x = (8 - y)/5

for any arbitrary real value value of y we can find the value of x.

This means there are infinitely many solutions.

If we solve given equation for y then it would be,

5x + y = 8

5x + y - 5x = 8 - 5x

y = 8 - 5x

for any arbitrary real value value of x we can find the value of y.

Therefore, an equation with two variables has infinitely many solutions.

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Answer:

y = - 3x - 2

Step-by-step explanation:

The function is linear and can be expressed in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (- 1, 1) ← 2 ordered pairs from the table

m = \(\frac{1-4}{-1-(-2)}\) = \(\frac{-3}{-1+2}\) = \(\frac{-3}{1}\) = - 3 , then

y = - 3x + c

To find c substitute any ordered pair into the equation

using (0, - 2 ) , then

- 2 = - 3(0) + c = 0 + c ⇒ c = - 2

y = - 3x - 2 ← function rule

Answer:

y = - 3x - 2

Step-by-step explanation:

The salary after 6 years is $83,000.

The salary after tt years is 53,000 + 5000tt.

The equation that can be used to determine Aisha's salary after a period of time can be represented by a linear equation. This is because that her salary increases by a constant rate each year.

A linear function represents a straight line when drawn on a coordinate plane. A linear function is a function that has a single variable raised to the power of 1. An example is y + 2. The variable y is raised to the power of 1. 2 is the constant term.

Total salary = beginning salary + (rate of increase x number of years)

Salary after 6 years: 53,000 + (5,000 x 6)

= 53,000 + 30,000 = $83,000

Salary after tt years: 53,000 + (5,000 x tt)

53,000 + 5000tt

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Answer:

Step-by-step explanation:

1) a + a

2) 2n+4 = 6n

3)   1

4n = 4

n = 1

Answer:

You would need to multiply 100 by 0.0162. 100 x 0.0162. Thus the answer is 0.0162

Step-by-step explanation:

By dividing 16.2 by 10 you get the answer 1.62. 1.62 is 1.62% of 100 which in decimal form is 0.0162. This gives you the number you need to multiply by 100 to get the same number as you would dividing 16.2 by 10.

Answer:

7.5

Step-by-step explanation:

The area of a triangle is found by the formula A=1/2bh, where b is the base length, and h is the height. If we count the squares, we can find that the base length of the triangle is 3 units, and the height is 5 units. If we plug those numbers into the equation to get A=1/2*3*5, we can solve to get A=7.5

The equation as given in the task content above can be said to represent; Choice C; function online.

By definition, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

A relation, on the other hand defines the relationship between sets of values of ordered pairs.

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Answer:

Puede ser Asi:

\( {10}^{6} = 1000000\)

Tambien puede ser:

\(1000000 \div 10 = 100000\)

The proportions of the adults who took the 1944 and recent surveys, which were total abstainers, are 0.380 and 0.33, respectively.

(a) Sample proportion for the 1944 survey is calculated as follows: From the 1100 adults surveyed, 418 indicated that they were total abstainers. Therefore, the sample proportion for the 1944 survey is calculated as follows:

p = 418/1100

p = 0.380
(b) Hypotheses:H0: The proportion of adults who abstain from alcohol is equal to 0.380.H1: The proportion of adults who abstain from alcohol is not equal to 0.380. Level of significance = α = 0.05. The test statistic: Z = (p - P) / sqrt [(PQ) / n]

Where: P = Proportion of adults who abstain from alcohol in the 1944 survey = 0.380, Q = 1 - P = 1 - 0.380 = 0.620

p = Proportion of adults who abstain from alcohol in the recent survey = 0.330 n = Total number of adults surveyed = 1100Substituting the values into the equation:

Z = (0.330 - 0.380) / sqrt [(0.380 x 0.620) / 1100]

Z = -2.413

Suppose the calculated Z-value is less than -1.96 or greater than +1.96. In that case, we reject the null hypothesis H0 at α = 0.05 level of significance and conclude that there is a significant difference in the proportion of adults who abstain from alcohol between the two surveys.

At α = 0.05 level of significance, the critical value is ±1.96. Since the calculated Z-value (-2.413) is less than -1.96, we reject the null hypothesis H0 at α = 0.05 significance level. Therefore, there is sufficient evidence to conclude that the proportion of adults who abstain from alcohol has changed between the two surveys.

The sample proportion for the 1944 survey is calculated as follows:

p = 418/1100

p = 0.380

The sample proportion for the recent survey is calculated as follows:

p = 363/1100

p = 0.330.

Therefore, the proportions of adults who took the 1944 and recent surveys, total abstainers, are 0.380 and 0.330, respectively. (Round to three decimal places as needed.

At α = 0.05 level of significance, the critical value is ±1.96. Since the calculated Z-value (-2.413) is less than -1.96, we reject the null hypothesis H0 at α = 0.05 significance level. Therefore, there is sufficient evidence to conclude that the proportion of adults who abstain from alcohol has changed between the two surveys.

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(a)The sample proportion for the 1944 survey is approximately 0.380, and for the recent survey, it is approximately 0.330.(b) The proportion of adults who totally abstain from alcohol has changed at the 0.05 level of significance. Therefore, based on the given data and the hypothesis test, there is evidence to suggest that the proportion of adults who totally abstain from alcohol has changed.

(a) To determine the sample proportion for each sample, we divide the number of total abstainers by the total number of adults surveyed.

For the 1944 survey:

Sample proportion = Number of total abstainers / Total number of adults surveyed

Sample proportion = 418 / 1100

Sample proportion ≈ 0.380 (rounded to three decimal places)

For the recent survey:

Sample proportion = Number of total abstainers / Total number of adults surveyed

Sample proportion = 363 / 1100

Sample proportion ≈ 0.330 (rounded to three decimal places)

The sample proportion for the 1944 survey is approximately 0.380, and for the recent survey, it is approximately 0.330.

(b) To determine if the proportion of adults who totally abstain from alcohol has changed, we can perform a hypothesis test. We can use the chi-square test for proportions to compare the two sample proportions.

The null hypothesis (H_(0)) is that there is no difference in the proportion of adults who totally abstain from alcohol between the two surveys.

The alternative hypothesis (H_(a)) is that there is a difference in the proportion of adults who totally abstain from alcohol between the two surveys.

Using the chi-square test for proportions, we can calculate the test statistic and compare it to the critical value at a significance level of 0.05.

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the proportion has changed. Otherwise, if the test statistic is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that the proportion has not changed.

Since we do not have information about the observed frequencies in each category, we cannot calculate the test statistic directly. However, we can compare the sample proportions using a normal approximation.

The test statistic can be calculated as follows:

z = (p_(1) - p_(2)) / (\sqrt((p × (1 - p)) × ((1 / n_(1)) + (1 / n_(2)))))

Where:

p_(1) = Sample proportion for the 1944 survey

p_(2) = Sample proportion for the recent survey

p = Pooled proportion ([(p_(1) × n_(1)) + (p_(2) × n_(2))] / [n_(1) + n_(2)])

n_(1) = Sample size for the 1944 survey

n_(2) = Sample size for the recent survey

Using the provided values:

p_(1) = 0.380

p_(2) = 0.330

n_(1) = 1100

n_(2) = 1100

Let's calculate the test statistic:

p = [(p_(1) × n_(1)) + (p_(2) × n_(2))] / [n_(1) + n_(2)]

= [(0.380 × 1100) + (0.330 × 1100)] / (1100 + 1100)

= (418 + 363) / 2200

≈ 0.377 (rounded to three decimal places)

z = (p_(1) - p_(2)) / (\sqrt((p × (1 - p)) × ((1 / n_(1)) + (1 / n_(2)))))

= (0.380 - 0.330) / (\sqrt((0.377 × (1 - 0.377)) × ((1 / 1100) + (1 / 1100))))

≈ 2.639 (rounded to three decimal places)

Using a significance level of 0.05, we can compare the test statistic to the critical value from the standard normal distribution. The critical value for a two-tailed test with a significance level of 0.05 is approximately ±1.96. Since the test statistic (2.639) is greater than the critical value ( (1.96), we reject the null hypothesis. We conclude that the proportion of adults who totally abstain from alcohol has changed at the 0.05 level of significance.

Therefore, based on the given data and the hypothesis test, there is evidence to suggest that the proportion of adults who totally abstain from alcohol has changed.

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The algebraic expression to represent how much she earns over 5 weeks is 5(b + 25)

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

In this problem, Maddy can rewrite how much she earns over the period of 5 weeks as

5(b + 25)

We can also rewrite this as a general expression for the total number of weeks by adding a variable

n(b + 25)

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The horizontal asymptote of the function f(x) = 2ˣ is y = 0.

In Mathematics and Geometry, a horizontal asymptote can be defined as a horizontal line (y = b) where the graph of a function approaches the line as the input values (domain or independent value) approach negative infinity (-∞) to positive infinity (∞).

In this context, the line passing through the ordered pair (0, 1) on the graph of this exponential growth function represents a horizontal asymptote and it has an equation of y = 0, as shown in the image attached above.

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The missing number of the series is 21.

The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.

Using this pattern, we can determine the missing number in the sequence.

0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55

Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.

Therefore, the completed sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.

To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.

The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:

Therefore, the missing number in the sequence is 21.

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The solution to the systems of equations graphically is (2, 4)

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Answer:

1/2

Step-by-step explanation:

When you find the sine of an angle, it is the opposite side / hypotenuse. This means that the hypotenuse of this triangle is 2 and the side opposite to 60° is √3. This means that the side adjacent to 60° is 1 (Pythagorean Theorem). When you find the cosine of an angle, it is the adjacent side / hypotenuse, which in this case will be 1 / 2. Hope this helps!

Answer:

1/2.

Step-by-step explanation:

Sine = opposite side / hypotenuse.

The side opposite 60 degrees has length√3 and the hypotenuse = 2.

By Pythagoras the side adjacent to the angle 60 = √( 2^2 - 3)

= 1 unit.

So cos 60 = adjacent / hypotenuse = 1/2.

Answer:

j > 3  hope this helps =)

The value of new_list is [1, 4, 9, 16].

The code given creates a new list called new_list by using a list comprehension to iterate over the values in my_list and squaring each value using the exponent operator (**).

This means that the first value in my_list (which is 1) is squared to 1, the second value (which is 2) is squared to 4, the third value (which is 3) is squared to 9, and the fourth value (which is 4) is squared to 16.

These squared values are then added to the new_list one by one, resulting in the final value of [1, 4, 9, 16].

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Solving the absolute value equation, it is found that:

The absolute value equation for this problem is given as follows:

p(t) = 0.165| t - 60 | + 4.8.

In which the variables are:

This percentage was of 13% when:

p(t) = 13.

Hence:

p(t) = 0.165| t - 60 | + 4.8.

13 = 0.165| t - 60 | + 4.8.

0.165| t - 60 | = 8.2.

|t - 60| = 8.2/0.165

|t - 60| = 49.7.

Then the solutions are as follows:

For the percentage of four percent, we have that:

4 = 0.165| t - 60 | + 4.8.

0.165| t - 60 | = -0.8.

The absolute value equation can never assume a negative value, hence the percentage will never be of 4%.

The equation is:

p(t) = 0.165| t - 60 | + 4.8

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The populations from which the samples are obtained must be normally distributed.

Sampling is done correctly. Observations for within and between groups must be independent.

The variances among populations must be equal (homoscedastic).

Data are interval or nominal.

Rudy has 3003 different ways to choose 6 toppings from a menu of 14 toppings if each topping can only be chosen once.

The number of ways to choose 6 toppings from a menu of 14 toppings where each topping can only be chosen once is 14!/(14-6)! = 14!/(8!) = 3003. This is because for the first topping, Rudy has 14 options, for the second topping he has 13 options, for the third topping he has 12 options, and so on. To calculate the total number of combinations, we use the formula n!/(n-r)! where n is the number of items and r is the number of items to choose. This formula gives us the number of ways to choose r items from a set of n items without regard to order, which is the number of combinations.

The formula for combinations is given by n!/(n-r)! where n is the number of items and r is the number of items to choose. Here, n = 14 (the number of toppings on the menu) and r = 6 (the number of toppings Rudy wants to choose). So, the number of combinations is 14!/(14-6)! = 14!/(8!).

The factorial (!) is the product of all positive integers up to that number. For example, 4! = 4 x 3 x 2 x 1 = 24.

So, 14! = 14 x 13 x 12 x ... x 2 x 1 = 87178291199, and 8! = 8 x 7 x 6 x ... x 2 x 1 = 40320.

Now, to calculate the number of combinations, we divide 14! by 8!: 14!/(8!) = 87178291199/40320 = 3003.

Therefore, Rudy has 3003 different ways to choose 6 toppings from a menu of 14 toppings if each topping can only be chosen once.

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Each side is equal so you divide 100 by 4.

Answer is: 25 m

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

Answer:

12 7 2 -3

Here

1st term = 12

second term = 7

common difference (d)= 7-12 = -5

5th term = 4th term + d = -3 -5 = -8

6th term = 5th term + d = -8-5 = -13

Step-by-step explanation:

Answer: I will get you’re brainliest

Step-by-step explanation:

I hope this works

The matrix A  eigenvalues and eigenvectors are as follows:

Eigenvalue λ1 = 1 with eigenvector v1 = [1, -1]

Eigenvalue λ2 = 6 with eigenvector v2 = [4, 1]

Using the equation  (A - λI)v = 0, where is an eigenvalue of A, I am the 2x2 identity matrix, and v is the associated eigenvector, we can determine the eigenvalues and eigenvectors of the matrix A = [[5, 4], [1, 2]].

First, we calculate the (A - λI) matrix's determinant:

det(A - λI) = |5-λ 4| = (5-λ)(2-λ) - 4 = λ^2 - 7λ + 6

|1 2-λ|

We obtain the characteristic equation by setting the determinant to zero:

λ^2 - 7λ + 6 = 0

We obtain two eigenvalues after solving for  λ :

λ = 1 and λ = 6

Next, For each eigenvalue, we identify the appropriate eigenvectors:

For λ = 1, We solve the system of linear equations represented by the equation(A - λI)v = 0:

4v1 + 4v2 = 0

v1 + v2 = 0

The second equation is evidently as straightforward as v1 = -v2. When we enter this into the initial equation, we get:

4v2 - 4v2 = 0

Thus, the eigenvector for λ = 1 is v = [1, -1].

For λ = 6, We solve the system of linear equations represented by the equation(A - λI)v = 0:

-v1 + 4v2 = 0

-v1 + 4v2 = 0

v1 - 4v2 = 0

It is evident that the first equation is just v1 = 4v2. When we enter this into the second equation, we get:

4v2 - 4v2 = 0

Thus, the eigenvector for λ = 6 is v = [4, 1].

Therefore, The matrix A  eigenvalues and eigenvectors are as follows:

Eigenvalue λ1 = 1 with eigenvector v1 = [1, -1]

Eigenvalue λ2 = 6 with eigenvector v2 = [4, 1]

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Answer:

Answer below

Step-by-step explanation:

right

acute

i believe this is correct :)

Answer:

Standing rectangle= 7 heptagon equal to 20 rectangle horizontal = 4 circle equal to 8

Step-by-step explanation: