Find 1,848 divided 66

Answer:

16

Step-by-step explanation:

Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:

\(64^\frac{2}{3} = \sqrt[3]{64^{2}}\\\)

As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.

\(64^\frac{x}{y} = \sqrt[y]{64^{x}}\)

Both the original problem (64^2/3) and the converted formula can be put into a calculator.

Simplify (if you want to)

\(\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16\)

64 to the power of 2/3 is 16.

If two methods agree perfectly in a method comparison study, the slope equals 1.0 and the y-intercept equals 0.0. Therefore, option (b) is the correct answer.

In a method comparison study, the goal is to compare the agreement between two different measurement methods or instruments. The relationship between the measurements obtained from the two methods can be described by a linear equation of the form y = mx + b, where y represents the measurements from one method, x represents the measurements from the other method, m represents the slope, and b represents the y-intercept.

When the two methods agree perfectly, it means that there is a one-to-one relationship between the measurements obtained from each method. In other words, for every x value, the corresponding y value is the same. This indicates that the slope of the line connecting the measurements is 1.0, reflecting a direct proportional relationship.

Additionally, when the two methods agree perfectly, there is no systematic difference or offset between the measurements. This means that the line connecting the measurements intersects the y-axis at 0.0, indicating that the y-intercept is 0.0.

Therefore, in a perfect agreement scenario, the slope equals 1.0 and the y-intercept equals 0.0, which corresponds to option (b).

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The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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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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The term for this kind of sample is cluster sampling

Given

that, At a major ten university, 200 of the 30,000 undergraduate students and 100 of the 5,000 graduate students are chosen to represent a sample of student opinion.

What is cluster sampling ?

Cluster sampling involves breaking up a population into smaller units called clusters. Then, they randomly select a sample from each of these clusters. Cluster sampling is a probability sampling technique that is frequently used to examine large populations, especially those that are widely geographically dispersed.

Researchers frequently refer to pre-existing groups like cities or schools when referring to clusters. With an SRS of 200 students and an SRS score of 100, clusters have been utilized in this instance. Cluster sampling is the name given to this type of sample as a result.

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We can evaluate the sum by multiplying the common difference (5) by the number of terms (6). Thus, the sum is equal to 6 * 5 = 30.

(a) The expression "azo" cannot be simplified further without additional context or information.

(b) The simplified form of the expression "azo" is "azo" itself since no simplification rules or operations can be applied to it.

(c) The simplified form of "S25" is 325, which represents the sum of the arithmetic series with 25 terms.

To find the sum of the arithmetic series given by 6 Σ (7 - 2) from j=1 to 6 (7 - 2), we first simplify the expression inside the summation. 7 - 2 simplifies to 5, so the expression becomes 6 Σ 5.

Next, we can evaluate the sum by multiplying the common difference (5) by the number of terms (6). Thus, the sum is equal to 6 * 5 = 30.

Therefore, the sum of the given arithmetic series is 30.

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Answer:

Hello!

____________________

Your answer would be (A) O point W.

Step-by-step explanation:  Intersection of the two lines is defined as the point where the two lines cross or meet each other.

It is given that the lines m and n intersect each other, which means that they must be intersecting each other at some point.

From the figure, it can be seen that in plane A, the lines m and n intersect each other at point W, thus point W is the point of intersection of the two line m and n.

Hence, option A is correct.

Hope this helped you!

Answer: point w hope this helped

Step-by-step explanation:

The domain of the function f is {a, 6, c, d}, and the range of the function f is {2, 3, 4, 5}. The function f(b) is not defined because b is not in the domain of the function. However, f(d) is 5.

In this case, the domain of the function f is determined by the elements in the set A, which are {a, b, c, d}. In this case, the range of the function f is determined by the second elements in each ordered pair of the function f, which are {2, 3, 4, 5}.

Since the element b is not included in the domain of the function f, f(b) is not defined. It means there is no corresponding output value for the input b in the function f.

However, the element d is in the domain of the function f, and its corresponding output value is 5. Therefore, f(d) is equal to 5.

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Knowing whether the mean is more than or less than the median can give us information about the skewness of a distribution because the mean and median represent different aspects of the distribution's central tendency.

In a positively skewed distribution, the tail of the distribution extends towards higher values, meaning there are some extreme high values that pull the mean towards the right. In this case, the mean is greater than the median because it is influenced by those high values, shifting the central tendency towards the right.

On the other hand, in a negatively skewed distribution, the tail of the distribution extends towards lower values, indicating the presence of extreme low values that pull the mean towards the left. As a result, the mean is lower than the median because the central tendency is shifted towards the left by those low values.

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Answer:

Yes they both are equal

Answer:4 tablespoons

Step-by-step explanation:

1 = 16 tablespoons

1/4 = 4 tablespoons

Take 16 divided by 4 = 4

According to the solution we have come to find that, The missing sides are t=ST=9 and s=RT=12.

what is right angle triangle?

A right angle triangle, also known as a right triangle, is a triangle that has one angle measuring 90 degrees, which is also known as a right angle. The side opposite to the right angle is called the hypotenuse, and the other two sides are called legs or catheti. The Pythagorean theorem, which states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse, is a fundamental property of right triangles. Right triangles are important in mathematics and physics, and they have many applications in geometry, trigonometry, and calculus.

We can use the fact that the two triangles are similar to set up a proportion and solve for the missing sides.

AB/RS = BC/ST = AC/RT

Substituting the given values:

5/RS = 3/9 = 4/s

Solving for RS:

RS = (5/3) * 9 = 15

Solving for RT:

RT = (4/5) * 15 = 12

Therefore, the missing sides are t=ST=9 and s=RT=12.

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Step-by-step explanation:

\( {x}^{2} + {x}^{2} + 8x + 4x = \\ 2 {x}^{2} + 12x\)

The weighted-average unit contribution margin is $46.20.

The weighted-average unit contribution margin can be calculated by multiplying the unit contribution margin of each model by its respective sales mix percentage, and then summing up the results.

To find the weighted-average unit contribution margin, we first calculate the unit contribution margin for each model by subtracting the unit variable costs from the selling price:

For Model A12:

Unit contribution margin = Selling price - Unit variable cost

                     = $60 - $42

                     = $18

For Model B22:

Unit contribution margin = Selling price - Unit variable cost

                     = $120 - $84

                     = $36

For Model C124:

Unit contribution margin = Selling price - Unit variable cost

                     = $480 - $360

                     = $120

Next, we multiply each unit contribution margin by its respective sales mix percentage:

Weighted contribution margin for Model A12 = 60% * $18 = $10.80

Weighted contribution margin for Model B22 = 15% * $36 = $5.40

Weighted contribution margin for Model C124 = 25% * $120 = $30.00

Finally, we sum up the weighted contribution margins:

Weighted-average unit contribution margin = $10.80 + $5.40 + $30.00 = $46.20. Therefore, the weighted-average unit contribution margin is $46.20.

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Answer:

294

Step-by-step explanation:

7/3=2.33333333333

126*2.33333333333=294

{\_/}

( •-•)

\>$

Bunny holding cash and hope this helps

Answer: .675

3.515 - 2.84 = .675

The given statement is incomplete as the significance level is not mentioned. The chi-square value of 29.25 indicates that there is a statistically significant difference between the observed and expected frequencies of the categorical data.

The degrees of freedom in this case are three, which means that the data has been divided into four categories. The exact interpretation of the chi-square value depends on the significance level. If the significance level is 0.05, which is commonly used, then the calculated chi-square value is greater than the critical value of 7.815.

This means that the null hypothesis of no difference between the observed and expected frequencies can be rejected at the 0.05 level of significance. In other words, there is evidence to support the alternative hypothesis that there is a significant difference between the observed and expected frequencies.

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Joanna can assemble her bracelet in 30 ways.

It is given that Joanna has 6 beads and of those 6 beads, 2 are of the same color.

The rest 4 are of different colors.

Six beads can be arranged in a circle in 6!/6 ways.

This means that the six beads can be arranged in 5! ways.

Since this is a bracelet, it can be flipped around. Therefore, it can be arranged in 5!/2 ways.

5!/2 = 5*4*3*2*1/2

= 60

Now, we know that two beads are of the same color. Therefore, we must divide this by two again.

Therefore, we get:

60/2 = 30

The six beads can be arranged in 30 ways to make the bracelet.

Therefore, we have found that Joanna can assemble her bracelet in 30 ways.

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What is the value of this expression when c = -4 and d = 10 ? \( \frac{1}{4} \) (c³ + d²)

\( \frac{1}{4} \) (c³ + d²) where c = -4 and d = 10

The value of the expression \( \frac{1}{4} \) (c³ + d²)

\( \frac{1}{4} \) (c³ + d²) [Given expression]

Now, putting the value of c = -4 and d = 10 , we get,

\( \frac{1}{4} \) { (-4)³ + (10)² }

\( \frac{1}{4} \) ( -64 + 100 )

\( \frac{1}{4} \) ( 36 )

\( \frac{1}{4} \) × 36

\( \bf = \: 9 \: ( Answer ) \)

Answer:

5/8

Step-by-step explanation:

The number of possible outcomes after flipping 3 coins is $2 \times 2 \times 2 = 8$. If the dime isn't heads, we need both the penny and nickel to be heads. If the dime is heads, the other two could be anything. So there are a total of $1+(2 \times 2)=5$ ways for us to get at least 6 cents. The answer is $\boxed{\dfrac58}.$

The Computation results of given combination and permutation expression,

(A) P(9, 3) = 504

(B) C(9, 3) = 84

(C) P(8,8) = 40,320

(D)P(9,9) = 1

A permutation is an arrangment of arranging objects or numbers in order.

The formula for permutations is

ⁿPᵣ = n!/(n-r)!

Combinations are the way of selecting objects or numbers from a group of objects, in such a way that the order of the objects does not matter.

The formula for combinations is,

ⁿCᵣ = n!/[r! (n-r)!]

ⁿCᵣ represents the number of combinations from “n” objects taken “r” at a time.

We have given some expressions and we shall compute these.

(A) P(9, 3) , here n = 9 and r = 3

=> P(9, 3) = 9!/(9-3)! = 9!/6! = 9×8×7×6!/6!

P(9, 3) = 9×8×7 = 504

(B) C(9, 3) = 9!/3!(9-3)! = 9!/6!×3!

= 9×8×7×6!/6!(3×2×1) = 9×8×7/6 = 84

(C) P(8, 8) = 8!/(8-8)!

= 8!/0! = 8! = 8×7×6×5×4×3×2×1 = 40,320

(D) C (9, 9) = 9!/9!(9-9)!

= 9!/9! 0! = 1

Hence ,we get all the values of given expression.

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Answer:

question three 8488

question four 288

Step-by-step explanation:

Answer:

3. 8448

4. 288

Step-by-step explanation:

The value of the contour surface passing through the point (1, 0, 2) is ψ(1, 0, 2) = 1^2 + 2e^0 = 1 + 2 = 3.

To find the points on the curve where the tangent is horizontal, we need to determine the values of t that satisfy the condition for a horizontal tangent, which is when the derivative of y with respect to t is equal to 0.

Given the parametric equations:

x = 2t^3 + 3t^2 - 12t

y = 2t^3 + 3t^2 + 1

Taking the derivative of y with respect to t:

dy/dt = 6t^2 + 6t

Setting dy/dt equal to 0 and solving for t:

6t^2 + 6t = 0

t(6t + 6) = 0

From this equation, we have two possible solutions:

t = 0

6t + 6 = 0, which gives t = -1.

Therefore, the points on the curve where the tangent is horizontal are (0, y(0)) and (-1, y(-1)). To find the corresponding y-values, substitute the values of t into the equation for y:

For t = 0:

y(0) = 2(0)^3 + 3(0)^2 + 1 = 1

For t = -1:

y(-1) = 2(-1)^3 + 3(-1)^2 + 1 = -2 + 3 + 1 = 2

Hence, the points on the curve where the tangent is horizontal are (0, 1) and (-1, 2).

To find the points on the curve where the tangent is vertical, we need to determine the values of t that satisfy the condition for a vertical tangent, which is when the derivative of x with respect to t is equal to 0.

Taking the derivative of x with respect to t:

dx/dt = 6t^2 + 6t - 12

Setting dx/dt equal to 0 and solving for t:

6t^2 + 6t - 12 = 0

t^2 + t - 2 = 0

(t + 2)(t - 1) = 0

From this equation, we have two possible solutions:

t + 2 = 0, which gives t = -2

t - 1 = 0, which gives t = 1.

Therefore, the points on the curve where the tangent is vertical are (x(-2), y(-2)) and (x(1), y(1)). To find the corresponding x-values and y-values, substitute the values of t into the equations for x and y:

For t = -2:

x(-2) = 2(-2)^3 + 3(-2)^2 - 12(-2) = -16 + 12 + 24 = 20

y(-2) = 2(-2)^3 + 3(-2)^2 + 1 = -16 + 12 + 1 = -3

For t = 1:

x(1) = 2(1)^3 + 3(1)^2 - 12(1) = 2 + 3 - 12 = -7

y(1) = 2(1)^3 + 3(1)^2 + 1 = 2 + 3 + 1 = 6

Hence, the points on the curve where the tangent is vertical are (20, -3) and (-7, 6).

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The probability that Julian will roll a 3 on the next roll is approximately 16.67%. The probability of rolling a 3 on a normal 6-sided die is independent of the previous rolls. This means that regardless of the outcomes of Julian's previous rolls, the probability remains the same.

Explanation

On a 6-sided die, there is 1 favorable outcome for rolling a 3 (the number 3 itself) out of 6 possible outcomes (1, 2, 3, 4, 5, and 6).

To find the probability, you can use the formula:

Probability = (Number of favorable outcomes) / (Total number of outcomes)

In this case:

Probability of rolling a 3 = 1 (favorable outcome) / 6 (total outcomes)

Probability of rolling a 3 = 1/6 ≈ 0.1667 or 16.67%

So, the probability that Julian will roll a 3 on the next roll is approximately 16.67%.

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Answer:

\(\frac{17\pi }{6}\)

Step-by-step explanation:

To convert from degrees to radians

radian = degree measure \(\frac{\pi }{180}\)

           = 510 × \(\frac{\pi }{180}\)

           = \(\frac{51\pi }{18}\)

           = \(\frac{17\pi }{6}\) radians

510 degrees is equal to (17π / 6) radians, which is determined by using the fact that 180 degrees is equal to π radians.

The given angle is  510°.

To convert 510 degrees to radians, we can use the fact that π radians is equivalent to 180 degrees.

First, we convert 510 degrees to radians by setting up a proportion:

180 degrees = π radians

510 degrees = x radians

Solving for x, we find:

x = (510 degrees) * (π radians / 180 degrees)

Simplifying the expression, we have:

x = (17π / 6) radians

Therefore, 510 degrees is equal to (17π / 6) radians.

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The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Interval should we restrict cosine so as to obtain a one-to-one function, so that the resulting inverse is a function will be 0 ≤ x ≤π.

The standard trig functions repeat themselves means they are periodic. Therefore, multiple input values of the function, the same output value appeaed. This makes inverse functions impossible to construct. To solve equations involving trig functions, it is imperative for inverse functions to exist. Thus, mathematicians have to restrict the trig function to create these inverses.

To define an inverse function, the original function must be one-to-one. For a one-to-one correspondence to exist. (a) each value in the domain must correspond to exactly one value in the range, and (b) each value in the range must correspond to exactly one value in the domain. The second is not but the first restriction is shared by all functions. The sine function, for example, does not satisfy the second restriction, since the same value in the range corresponds to many values in the domain.

Sine function is not one to one. To define the inverse functions for sine and cosine, the domains of these functions are restricted. The restriction that is placed on the domain values of the cosine function is 0 ≤ x ≤ π . This restricted function is called Cosine. Note the capital ^ C deg in Cosine.

Graph of restricted cosine function. The inverse cosine function is defined as the inverse of the restricted Cosine function Cos -1 (cos x) = x ≤ π Therefore

Graph of inverse cosine function.

y = Cos ^ - 1 * x where 0 <= y <= π and - 1 ≤ x ≤1

Identities for the cosine and inverse cosine:

cos(Cos ^ - 1 * x) = x

- 1 ≤ x ≤1

Cos ^ - 1 * (cos x) = x

0 ≤ x ≤π

The inverse sine function's development is similar to that of the cosine. The restriction that is placed on the domain values of the sine function is

- π/2 ≤ x ≤ π/2

Graph of inverse sine function.

- π/2 ≤ x ≤ π/2

The graphs of the functions y = cos x and y = cos - 1 x are reflections of each other about the line y = x The graphs of the functions y = sin x and y = Sin - 1 xare also reflections of each other about the line y = x.

Interval should we restrict cosine so as to obtain a one-to-one function, so that the resulting inverse is a function will be 0 ≤ x ≤π.

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