25% of the 96 coffee mugs at Oscar's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house?

Answer:

Hope the picture will help you...........

Instead of using a t-test, alternative statistical tests can be employed when the null hypothesis makes specific claims about the data. These tests are chosen based on the type of data and the specific hypothesis being tested.

When the null hypothesis makes claims about the data that go beyond a simple comparison of means, using a t-test may not be appropriate. Alternative statistical tests can be used in such situations to address specific hypotheses.

For example, if the null hypothesis involves comparing proportions, a chi-square test or Fisher's exact test can be used. These tests are suitable for analyzing categorical data and determining if there is a significant difference between observed and expected frequencies.

Similarly, if the null hypothesis involves comparing means across more than two groups, analysis of variance (ANOVA) or its non-parametric counterpart, the Kruskal-Wallis test, can be employed. These tests allow for the comparison of means across multiple groups and can provide valuable information about the overall differences between groups.

The selection of an appropriate test depends on various factors. The nature of the variables being analyzed, such as categorical or continuous, influences the choice of test. Sample size also plays a role, as some tests require larger sample sizes to yield accurate results. Additionally, each test has certain assumptions associated with it, and researchers need to ensure these assumptions are met before applying the test.

By using alternative tests that are suitable for the specific hypotheses being tested, researchers can gain a deeper understanding of their data. This approach allows for more accurate statistical inferences and can provide valuable insights into the relationships and differences present in the dataset.

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Answer:

Step-by-step explanation:

The answer is geosphere and hydrosphere

To determine if there has been a change in the distribution of motivations for using a credit card among college students, a survey of 425 students was conducted.

The alternate hypothesis states that the distribution of motivations differs from the old survey. The critical value and rejection region need to be determined to test this hypothesis.

To test if there has been a change in the distribution of motivations, the null hypothesis assumes that the distribution remains the same as in the old survey, while the alternate hypothesis suggests a difference. In this case, the alternate hypothesis is that the distribution of motivations differs from the old survey.

To determine the critical value and rejection region, the significance level (α) needs to be specified. In this case, α is given as -0.005. However, it seems there may be some confusion in the provided information, as a negative significance level is not possible. The significance level should typically be a positive value between 0 and 1.

Without a valid significance level, it is not possible to determine the critical value and rejection region for hypothesis testing. The critical value is typically obtained from a statistical table or calculated based on the significance level and the degrees of freedom.

In conclusion, without a valid significance level, it is not possible to determine the critical value and rejection region to test the hypothesis regarding the change in the distribution of motivations for credit card usage among college students.

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Answer:

C = 5

Step-by-step explanation:

\(4c-12=8\)

\(4(5)-12=8\)

\(20-12=8\)

\(c-3=2\)

\(5-3=2\)

Answer:

opposite operation

Step-by-step explanation:

divide 35 by 5 so x=7

Answer:

y = 6

Step-by-step explanation:

5y = 30

5y ÷ 5 = 30 ÷ 5

y = 6

Answer:

25% off.

Step-by-step explanation:

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The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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Answer:

Daniel can afford 12 rides

Step-by-step explanation:

So we would take his 22 dollars and subtract 4 for admission leaving us at 18\

Then we would divide 18 by 1.50 and we would get 12

Answer:

I think they'd be saving approximately $300

Step-by-step explanation:

25 times 20 is 500. 500 times .6 is 300 bucks.

Answer: $87

Step-by-step explanation:

9514 1404 393

Answer:

  A = 27

  B = 81

Step-by-step explanation:

Fill in the x-value and do the arithmetic.

  a = 3^3 = 27

  b = 3^4 = 81

If the series Σaₙ=S converges and aₙ≥0 for all n≥1, then the series Σaₙ converges absolutely.

To show that Σaₙ converges absolutely, we need to prove that the series of absolute values of the terms, Σ|aₙ|, converges. Since aₙ≥0 for all n≥1, we have |aₙ| = aₙ. Thus, we can rewrite Σ|aₙ| as Σaₙ.

If Σaₙ=S converges, it means that the sequence of partial sums, {Sₙ}, converges. Let's denote the partial sum of Σ|aₙ| as {Tₙ}. Since Σ|aₙ| = Σaₙ, the sequence {Tₙ} is the same as {Sₙ}, but with non-negative terms.

Since {Sₙ} converges, it is bounded. This implies that {Tₙ} is also bounded, as the terms of {Tₙ} are non-negative and will never exceed the corresponding terms of {Sₙ}. Boundedness of {Tₙ} guarantees the convergence of Σaₙ, which means that Σaₙ converges absolutely.

In conclusion, if aₙ≥0 for all n≥1 and Σaₙ=S converges, then Σaₙ converges absolutely.

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Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.

In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.

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Answer:

1/4 L

Step-by-step explanation:

2 1/2=10/4  10/4*3/4=30/16= 1 7/8

1 7/8=15/8        10/4*2=20/8          20/8-15/8=5/8

5/8-3/8=2/8 or 1/4 L

Answer: 1/4 L

In bottle 1/4 of chlorine solution is left in bottle.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool.

And, then she measures out 3/8 liters of the remaining solution to use to clean the pool filter.

Now,

Chlorine solution in bottle = 2 1/2 × ( 1 - 3/4 ) - 3/8

                                        = 5 / 2 × 1/4 - 3/8

                                        = 5 / 8 - 2 / 8

                                        = 1 / 4

Thus, In bottle 1/4 of chlorine solution is left in bottle.

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The complete question is this;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool then she measures out 3/8 liters of the remaining solution to use to clean the pool filter how much chlorine solution is left in the bottle?

Answer:

(x=days)  g(x)=15x+200

Step-by-step explanation:

the 200 is a base fee, meaning you cant tag a variable on it and in this case it works as a y-intercept, the 15 dollars a day would be 15x because x is the number of days and to calculate how much it costs to work a few days you multiply the daily rate and the number of days, then add 200 to get your cost.

Our assumption that two consecutive elements of the Fibonacci sequence can be divisible by 13 is false, and the proposition is proved.

We begin with the fact that the Fibonacci sequence is an increasing sequence; that is, each element is greater than the one before it.

The sequence is defined as follows:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, and so on.

Now, let us prove the proposition by contradiction. Assume that there are two consecutive elements of the Fibonacci sequence that are divisible by 13. Then there must be some integer n such that:

F(n) = 13m, andF(n + 1) = 13p,

where m and p are integers.

Since the Fibonacci sequence is defined recursively by F(n) = F(n-1) + F(n-2), we can obtain an expression for F(n-2) in terms of F(n) and F(n-1):

F(n-2) = F(n) - F(n-1)Since F(n) and F(n-1) are both divisible by 13, their difference must also be divisible by 13.

Therefore, F(n-2) is divisible by 13 as well. However, this contradicts the well-ordering principle, which states that every non-empty set of positive integers has a least element.

Since the Fibonacci sequence is an increasing sequence, there must be some least element k such that F(k) is divisible by 13 but F(k-1) is not. But this means that F(k-2) cannot be divisible by 13, which contradicts our assumption that both F(n) and F(n-1) are divisible by 13.

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The requried surface area of the rectangular prism is 198 square inches.

A figure of a rectangular prism is shown,
W have to determine the surface area of the prism,

The surface area of the prism is given as = 7*6 + 6*12 + 12*7
                                                                     =  198 square inches.

Thus, the requried surface area of the rectangular prism is 198 square inches.

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A standard deviation of 9 minutes. 30% of the patients wait more than how long is  31.68 minutes.

To solve this problem, we need to find the amount of time that 30% of the patients wait more than.

We can start by using the z-score formula:

z = (x - μ) / σ

where x is the wait time we're looking for, μ is the mean wait time of 27 minutes, and σ is the standard deviation of 9 minutes.

Since we want to find the wait time corresponding to the 30th percentile, we need to find the z-score that corresponds to that percentile using a standard normal distribution table. This z-score represents the number of standard deviations away from the mean that the 30th percentile is located.

The standard normal distribution table gives us a z-score of approximately 0.52 for the 30th percentile.

So, we can plug in our known values:

0.52 = ( - 27) / 9

Solving for x:

0.52 * 9 + 27 = x

4.68 + 27 = x

x = 31.68

Therefore, 30% of the patients wait more than 31.68 minutes, rounded to 2 decimal places.

Answer: 31.68 minutes.

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Using normal distribution, we can expect 26% of Tim Worker's electric bill expenses to fall between $184.00 and $200.00.

Tim Worker's electric bill to calculate the percentage of his expenses in this category that would be expected to fall between $184.00 and $200.00.

Calculate the z-scores for $184.00 and $200.00 using the formula z = (x - μ) / σ, where x is the value we are interested in, μ is the mean, and σ is the standard deviation.

For $184.00: z = ($184.00 - $206.00) / $10.00 = -2.2

For $200.00: z = ($200.00 - $206.00) / $10.00 = -0.6

Look up the percentage of the area associated with each z-score using a standard normal distribution table or a calculator that can calculate normal probabilities.

For z = -2.2: 48.6%

For z = -0.6: 22.6%

Subtract the percentage of the area associated with the lower z-score from the percentage of the area associated with the higher z-score to get the percentage of expenses between $184.00 and $200.00.

Percentage between $184.00 and $200.00 = 48.6% - 22.6% = 26%

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Answer:

Value of Cos 120 is -½.

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

The graph seems to start at y=4, and decreases.

According to research, 60-70% percentage of instructional time is devoted to written computation. So, the correct answer is A).

The instructional time is devoted to written computation can vary depending on the specific study being referred to. However, traditionally, written computation has been a fundamental component of math instruction, and it can occupy a significant portion of instructional time.

Studies have reported that written computation can take up anywhere from 60% to 70% of instructional time. This significant allocation of time to written computation reflects the importance placed on basic computational skills in mathematics education, which are seen as essential building blocks for more advanced mathematical concepts and problem-solving skills. So, the correct option is A),

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Answer:

9 17/18, this is most likely the correct answer.

The perimeter of the regular hexagon is 42 inches.

Since a regular hexagon can be divided into six equilateral triangles, each triangle shares a side with the hexagon. Let's denote the perimeter of the hexagon as P.

Since the perimeter of one equilateral triangle is 21 inches, each side of the triangle has a length of 21/3 = 7 inches.

Since the hexagon consists of six equilateral triangles, it will have six sides, each of length 7 inches. Therefore, the perimeter of the hexagon is given by:

P = 6 * 7 = 42 inches.

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The exact value of csc(arccot(4/3)), obtained from the trigonometric ratios for tangent and sine of an angle is; csc(arccot(4/3)) = 5/3

The trigonometric ratios expresses the relationship between the measure of the interior angle of a right triangle and the ratio of the lengths of two of the sides of a triangle.

The value of the trigonometric ratio is; csc(arccot(4/3))

Therefore; cot(θ) = 1/tan(θ) = 4/3

tan(θ) = Opposite side ÷ Adjacent side

1/tan(θ) = Adjacent side/Opposite side = 4/3

The equivalent length of the hypotenuse side is therefore;

Hypotenuse = √(4² + 3²) = 5

The sine of the angle θ = Opposite side/Hypotenuse

The corresponding value of sin(θ) = 3/5

Therefore; csc(θ) = 1/sin(θ) = 1/(5/3) = 3/5

csc(θ) = 1/sin(θ) = 1/(5/3) = 3/5

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Hope it helps u

Refer to the image below

Answer:

a. ben eats 27 apples

b. ben has 18 apples left