Dave is buying popcorn and sodas for his son and his five friends that he brings to the movies (Six kids total). The needs to buy at least one of the two items for each of the six. Popcorn costs $2. 50 per bag and sodas cost $4. 00 each. Dave can spend at most $40. Lets represent the number of sodas he buys and p represent the number of bags of popcorn he buys

The given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants.

Mutually exclusive and exhaustive variables: A variable is mutually exclusive and exhaustive if it includes all possible outcomes and each outcome can only be assigned to one variable category.a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday - Mutually exclusive and exhaustiveb. Days: Weekday and Weekend - Mutually exclusive and exhaustive c. Letters: Vowels and Consonants - Mutually exclusive and exhaustive. Letters: Alphabets and Consonants - Not mutually exclusive and exhaustiveThe given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants. Hence, the options a and c are correct.

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Use the f-statistics and reject at least one of the hypothesis if the statistic exceeds the critical value.

Given,

Testing of joint hypothesis .

Here,

When testing a joint hypothesis, you should: use t-statistics for each hypothesis and reject the null hypothesis once the statistic exceeds the critical value for a single hypothesis. use the F-statistic and reject all the hypotheses if the statistic exceeds the critical value. use the F-statistics and reject at least one of the hypotheses if the statistic exceeds the critical value. use t-statistics for each hypothesis and reject the null hypothesis if all of the restrictions fail.

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Answer:

Step-by-step explanation:

Horizontal line:

Vertical line:

The intersection is (m, k)

No substitution is possible, as no variables to substitute

No

One is horizontal lines

That should be in this form

a is any number

A line is vertical

Look at both equations

a and b are not equal plus there is no x in horizontal line and no y in vertical line.

There is nothing to substitute

The solution will come (b,a)

Shryia was reading at a speed of 524.67 pages per hour, and it took her approximately 917.06 hours to read the entire book.

To find Shryia's reading speed, we can use the formula:

\(reading speed = (total pages - pages left) / time\)

We are given that the book has 481481481 pages, and after reading for 1.5 1.51, point, 5 hours, Shryia had 403403403 pages left to read. So, the total number of pages she read is:

481 - 403 = 787

The time taken to read these pages is:

1.5 hours

So, her reading speed is:

reading speed = 787 / 1.5 = 524.67 pages per hour

To find how long it took her to read the entire book, we can use the formula:

time = total pages / reading speed

So, the time taken to read the entire book is:

time = 481481481 / 524.67 ≈ 917.06 hours

Therefore, Shryia was reading at a speed of 524.67 pages per hour, and it took her approximately 917.06 hours to read the entire book.

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Answer:

82 rooms

Step-by-step explanation:

1459/18=81.05

so 82 rooms

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Answer:

82

Step-by-step explanation:

1459/18

\(1459 \div 18\)

for each cabin there 18 And there are 1459

81.05 \times 48=159

since you can't have a half a cabinet the answer is 82

The expression which represents t as the subject of the formula is; t = (p + 4s) / √(s (3s - p)).

As evident in the task content; it follows that the expression which represents t as the subject of the formula is to be determined.

Given; ( (p + 4s) / t )² = s (3s - p)

(p + 4s) / t = √(s (3s - p))

t = (p + 4s) / √(s (3s - p))

Ultimately, the correct expression is; t = (p + 4s) / √(s (3s - p)).

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A. The number of red balls he had was 8  at the beginning.

Duke's starting red ball total can be found by setting up a system of equations. First, let x represent the number of red balls and y represent the number of blue balls.

After 5 days, the equation is x-15=y+10. This equation states that after 5 days, the number of red balls (x) minus 15 will equal the number of blue balls (y) plus 10. After 9 days, the equation is x-27=2y+20.

This equation states that after 9 days, the number of red balls (x) minus 27 will equal twice the number of blue balls (y) plus 20. To solve for x, both equations can be set equal to each other and solved. This results in x=8. Therefore, Duke had 8 red balls at the beginning.

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Answer:

Solution given:

2y+1=17

subtracting both side by 1

2y+1-1=17-1

2y=16

dividing both side by 2

2y/2=16/2

y=8

Answer:

y = x + 2

Step-by-step explanation:

The slope is the change in y over the change in x.  Look where the line crosses the x and the y axis.  (-2,0) and (0,2)  If you start at (-2,0)  and to to (0,2)  You go up two units and the right 2 units.  That would be 2/2 or 1.  That is your slope.

The 2 is where the line crosses the y axis.

y = 1x + 2  You do not need the 1.  If we do not see a number before the x, we assume that it is 1.

Let the speed of the southbound train be x mph. then the speed of the northbound train will be x - 14 mph.

Both trains are traveling in the opposite direction and going away from each other.

The distance traveled by southbound train in 3 hours will be 3x miles. The distance traveled by southbound train will be 3(x - 14) miles.

Therefore, the sum of distance covered by both the trains will be equal to 498 miles.

Thus, the speed of the southbound train is 90 mph and the speed of the northbound train is 76 mph.

Answer:

b

Step-by-step explanation:

he won a super bowl and he was able to read the defenses better he also achieved a lot without good receivers. Ryan had julio and Carson had Fitz know about brisket

The class limits for the class with the highest Frequency are 35 up to 45.

The given distribution table is related to cost of textbooks, frequency, and class limits. To find out the class limits for the class with the highest frequency, we need to determine the class interval with the highest frequency. From the given distribution table, it can be observed that the class interval with the highest frequency is 35 up to 45. The frequency of this interval is 20.

The class limit for this interval will be 35 up to 45, which is Option D. The class limit is the lowest and the highest possible value that can be included in a class interval. For example, if we take the class interval 35 up to 45, the lower class limit is 35 and the upper class limit is 45.

The steps to find the class limits for the class with the highest frequency are given below:

Step 1: Determine the class interval with the highest frequency from the given distribution table, we can determine the class interval with the highest frequency, which is 35 up to 45. This class interval has a frequency of 20.

Step 2: Find the class limits for this intervalThe class limits for the class interval 35 up to 45 will be 35 up to 45, which is Option D. The class limits refer to the smallest and largest values that can be included in a class interval.

Thus, the class limits for the class with the highest frequency are 35 up to 45.

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We simply replace values for x and get values for y, these pairs of values can be ordered as points and then plotted in the cartesian plane.

For example, when we replace x = 0 in the expression, we obtain y = -4, so one point is (0, -4).

When we replace x = 1, we obtain y = -6, so another point is (1, -6) and so on.

After we have enough points, we "draw" a line connection such points [The points should be determined in order] giving as result the graph of the expression:

Answer:

f(g(2)) = 50

Step-by-step explanation:

evaluate g(2) then substitute the result obtained into f(x)

g(2) = 3(2) - 2 = 6 - 2 = 4 , then

f(4) = 2(4 + 1)² = 2(5)² = 2(25) = 50

Answer:

f[g(2)] = 50

Step-by-step explanation:

Given functions:

\(f(x)=2(x+1)^2\)

\(g(x)=3x-2\)

We are asked to determine f[g(2)], which is known as a composite function. When solving composite functions, you always work inside out.

Step 1: Find the value of g(2) by substituting 2 for x in function g(x).

\(\implies g(2)=3(2)-2\)

\(\\\implies g(2)=6-2\Rightarrow g(2)=\boxed{4}\)

Step 2: Substitute the found value into the composite function.

\(\\\implies f[g(2)]= 2(4+1)^2\)

\(\implies f[g(2)] = 2(5)^2 \Rightarrow 2(25) \Rightarrow \boxed{50}\)

Hence, the value of the composite function f[g(2)] is 50.

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We know that each generation takes approximately 3 weeks, then, we can estimate how many generations we do have in one year, remember that one year has

Then, in one year we have

In the real world, we can't have half of a generation or a decimal generation, then, let's approximate it to the nearest integer, in that case, 17 generations.

We have the expression that predicts the number of mice, then we can use that equation to find the result for 17 generations:

Evaluate that at x = 17

With an offspring of

And the ending mice

Therefore, the final answer is

Answer:

231.04 ft²

Step-by-step explanation:

Area triangle = 1/2( 11.4 * 15.2)

Area triangle = 1/2( 173.28 )

Area triangle = 86.64 ft²

Area rectangle = 19 x 7.6

Area rectangle = 144.4 ft²

Area total = 86.64 ft² + 144.4 ft² = 231.04 ft²

If my answer is incorrect, pls correct me!

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-Chetan K

The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ x² + 2x + 1

Factorize the expression, then the factor of the expression will be

⇒ x² + x +  x + 1

⇒ x(x + 1)x + 1(x + 1)

⇒ (x + 1)(x + 1)

⇒ (x + 1)²

The product of two binomials will be (x + 1) and (x + 1).

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Answer:

I believe the correct answer is B! Hope this helped.

Answer:

b

Step-by-step explanation:

Using an average credit card amount of $500 and an annual percentage rate of 18%, the monthly interest payment is $7.5.

It is possible to calculate the monthly interest payment as follows:

I = \(\frac{PNR}{100}\)

Given P = 500, N = 1, R = 18%

\(I = \frac{500*1*18}{100}\)

\(I = \frac{9000}{100}\)

\(I = 90\)

Yearly Interest is $\(90\)

Monthly interest :

\(M.I = \frac{18}{12}\)

\(M.I = 1.5%\)

Monthly interest payment = $\(500*1.5\)= $\(7.5\)

Monthly interest payment:

The percentage of the monthly payment earmarked for paying off the loan charge is referred to as the monthly interest payment.

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The simplified form of the expression 1/5 divied by 2 as a fraction is 1/10.

Given the expression in the question;

1/5 divied by 2

1/5 ÷ 2

To simplify, multiply 1/2 by the reciprocal of 2

1/5 ÷ 2

1/5 × 1/2

Simplify

( 1 × 1 ) / ( 5 × 2 )

( 1 ) / ( 5 × 2 )

Multiply 5 and 2

( 1 ) / ( 10 )

1/10

Therefore, the simplified form is 1/10.

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The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

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Answer:

2+10=12

3+9=12

4+8=12

5+7=12

6+6=12

Answer:

\(x = 4 \frac{1}{2} \)

Answer:

c because have great day

Answer: 12 + 21y

Step-by-step explanation:

Answer:

12 + 21y

Step-by-step explanation:

By applying permutation concepts, there are 2730 possible sets of officers.

Permutation calculates the number of ways to choose a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed.

P(n,r) = n! / (n-r)!

where n is the number of objects and r is the number of samples

In such an election, each person can only occupy one office. Therefore, the permutation concept is precisely used to calculate the number of ways to set these people.

P(15,3) = 15! / (15 - 3)!

           = (15 x 14 x 13 x 12!) / 12!

           = 15 x 14 x 13

           = 2730 ways

Thus, there are 2730 possible sets of officers.

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The Z-transform of \(x(t) = 2a * (a - e^{-2at})\) is:

\(X(z) = 2a^2 * (z - a)/(z(a - 1)) - 2a^2 * (e^{-2} - e^{-2/a})/(z(a - 1))\)

To obtain the Z-transform of x(t) = 2a * \((a - e^{-2at})\), we can use the definition of the Z-transform:

X(z) = Z{x(t)} = ∑[x(t) * \(z^{-t}\)] from t = 0 to ∞

First, let's rewrite x(t) in terms of the unit step function u(t):

\(x(t) = 2a * (a - e^{-2at}) = 2a * a * (1 - e^{-2at/a})\)

Now, let's apply the Z-transform:

X(z) = ∑[x(t) * \(z^{-t}\)] from t = 0 to ∞

= ∑[2a * a * \((1 - e^{-2at/a}) * z^{-t}\)] from t = 0 to ∞

We can simplify this expression further:

X(z) = 2a² * ∑[\((1 - e^{-2at/a}) * z^{-t}\)] from t = 0 to ∞

Now, let's focus on the term\((1 - e^{-2at/a}) * z^{-t}\):

\((1 - e^{-2at/a}) * z^{-t} = (1 - e^{-2t}) * (1/a)^t * z^{-t}\)

Using the formula for the geometric series, we can rewrite this term as:

\((1 - e^{-2t}) * (1/a)^t * z^{-t} = (1 - e^{-2t}) * (1/a)^t * (1/z)^t\)

Now, substituting this back into the expression for X(z), we have:

X(z) =\(2a^2\) * ∑\([(1 - e^{-2t}) * (1/a)^t * (1/z)^t]\) from t = 0 to ∞

Using the property of linearity of the Z-transform, we can split this expression into three separate terms:

X(z) =\(2a^2\)* ∑[\((1/a)^t\) * \((1/z)^t\)] from t = 0 to ∞ - \(2a^2\) * ∑[\(e^{-2t}\) *\((1/a)^t\)* \((1/z)^t\)] from t = 0 to ∞

Now, we can apply the formula for the Z-transform of a geometric series:

\(X(z) = 2a^2 * (1 - (1/a) * (1/z))^{-1 }- 2a^2 * (e^{-2} - (1/a) * (e^{-2/a}) * (1/z))^{-1\)

Simplifying further, we have:

\(X(z) = 2a^2 * (z - a)/(z(a - 1)) - 2a^2 * (e^{-2} - e^{-2/a})/(z(a - 1))\)

Therefore, the Z-transform of \(x(t) = 2a * (a - e^{-2at})\) is:

\(X(z) = 2a^2 * (z - a)/(z(a - 1)) - 2a^2 * (e^{-2} - e^{-2/a})/(z(a - 1))\)

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Answer:

a-2 is the answer for the problem