Given a*b = 3a²b, determine: a) (2*1) b) (2*1) *3
2. Given n#m = √3mn, determine a) 2#6 b) (4#3) #2 ​

We can estimate with a 95% confidence level that male servers work between 3.36 and 6.14 more hours per week than female servers. We can round this to "about 4.75 more hours" as our point estimate.

We can start by using a two-sample t-test to compare the means of the two samples. The null hypothesis is that the mean number of hours worked by female servers is equal to the mean number of hours worked by male servers, while the alternative hypothesis is that the mean number of hours worked by female servers is less than the mean number of hours worked by male servers.

Let's first calculate the pooled standard deviation:

s_p = sqrt(((n_1 -1) * s_1^2 + (n_2 - 1) * s_2^2) / (n_1 + n_2 - 2))

where n_1 = n_2 = 50

s_p = sqrt(((50 - 1) * 4^2 + (50 - 1) * 5^2) / (50 + 50 - 2)) = 4.49

Next, we can calculate the t-statistic:

t = (x_1 - x_2) / (s_p * sqrt(1/n_1 + 1/n_2))

where x_1 = 24, x_2 = 29

t = (24 - 29) / (4.49 * sqrt(1/50 + 1/50)) = -6.67

Using a t-distribution table with 98 degrees of freedom (50 + 50 - 2), we find that the critical t-value for a one-tailed test at a 95% confidence level is -1.66.

Since our calculated t-value is less than the critical t-value, we reject the null hypothesis and conclude that there is evidence to suggest that female servers work fewer hours than male servers.

To estimate how many more hours male servers work than female servers, we can calculate a confidence interval for the difference in means:

(x_2 - x_1) ± t_crit * s_p * sqrt(1/n_1 + 1/n_2)

where t_crit = 1.66 (at a 95% confidence level)

(29 - 24) ± 1.66 * 4.49 * sqrt(1/50 + 1/50) = 4.75 ± 1.39

Therefore, we can estimate with a 95% confidence level that male servers work between 3.36 and 6.14 more hours per week than female servers. We can round this to "about 4.75 more hours" as our point estimate.

Based on the data, we can conclude that male servers work more hours than female servers at Swank Bar.

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The radical form  ∛ is 1/3.

The radical form of the expression \(15^{\frac{1}{3}\) is ∛15.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. 

Example: 3 + x, 3x, √4, ∛27 are all expressions.

We have,

\(15^{\frac{1}{3} }\)

We need to write it in radical form.

This means we must remove the power 1/3 in the given expression.

Some of the expressions in the radical form are:

∛ = 1/3

√ = 1/2

We know that,

∛ = \(\frac{1}{3}\)

So,
Since ∛ is 1/3 we can write the expression as ∛15.

\(15^{\frac{1}{3} }\) = ∛15.

Thus,

The radical form of the expression \(15^{\frac{1}{3}\) is ∛15.

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Answer:

E

Step-by-step explanation:

I did it on AP Classroom

Answer:

1:52 PM

Step-by-step explanation:

It gains 4 min every hour so it gains    4 * 5.5 = 22 minutes

8 oclock   + 5.5 hrs   + 22 minutes =

1:52

Answer:

x + 2 = 2x

Step-by-step explanation:

sum means addition.

twice a number means doubling or multiplying by 2

Answer:

x+2 = 2x

Step-by-step explanation:

Let x be the number so that we can write an equation

Sum means add.

x+ 2

Is means equals.

x+2 =

Twice means multiply by 2

x+2 = 2x

When dealing with ordinal data measurement that produces a significant number of tied ranks, it is appropriate to use Spearman's rank-order correlation coefficient.

Spearman's rank-order correlation coefficient is a nonparametric measure used to assess the strength and direction of the relationship between two variables when the data is measured on an ordinal scale or when there are tied ranks.

Unlike Pearson's correlation coefficient, which requires interval or ratio level data, Spearman's rank-order correlation is based on the ranks of the data points.

When there are tied ranks in the data, it means that multiple individuals or observations share the same rank.

This can happen when the measurements are not precise enough to assign unique ranks to each data point.

In such cases, using Pearson's correlation coefficient, which relies on the exact values of the variables, may not be appropriate.

Spearman's rank-order correlation coefficient handles tied ranks by assigning them average ranks. This approach ensures that the analysis considers the relative ordering of the data points, rather than the specific values.

By using this measure, we can assess the monotonic relationship between the variables, even when tied ranks are present.

Therefore, when faced with ordinal data measurement containing tied ranks, it is advisable to use Spearman's rank-order correlation coefficient to accurately assess the relationship between the variables.

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Answer:

(X+4) (X-6)

Step-by-step explanation:

You look for the least common multiple that when multiplied would equal -24 and when added would equal -2. You could also factor out the answer choices and see which one matches.

this is the answer. please mark me as brainliest.

After solving, the height of the cylinder is 6 meters.

The surface area of a cylinder is 24π m².

The distance around the base of the cylinder is 3π meter.

The diameter of a base of the cylinder is 4 meter.

Now the radius of the cylinder = diameter/2

The radius of the cylinder = 4/2

The radius of the cylinder = 2 meter.

The formula of surface area of cylinder:

S = 2πrh

From the question:

2πrh = 24π

Now putting the value of r

2π × 2 × h = 24π

4πh = 24π

Divide by 4π on both side, we get

h = 6

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The complete question is:

The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.

Answer: for the question 2 I gave you the step by step explanation in the picture so you can probably better understand where you did wrong , I hope it will be helpful for you, have a nice rest of your day:)

Answer:

see explanation

Step-by-step explanation:

(f + g)(x)

= f(x + g(x)

= x² + 1 + 5 - x ← collect like terms

= x² - x + 6

--------------------------------

(f - g)(x)

=f(x) - g(x)

= x² + 1 - (5 - x)

= x² + 1 - 5 + x ← collect like terms

= x² + x - 4

Step-by-step explanation:

Hey there!

Given;

The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.

Now, taking reference angle as angle 41°. We get;

Perpendicular= 26

Base = X

and Reference angle = 41°.

We know that the ratio of tan is p/b. So, let's use this ratio.

\( \tan(41°) = \frac{26}{x} \)

\(0.869 \times x = 26\)

\(x = \frac{26}{0.869} \)

Therefore, The value of x is 29.90.

Hope it helps...

Domain: For sales, x > 0 (positive values); for returns, x < 0 (negative values).

Range: F(x) ≥ 0 (non-negative values).

The given function is defined as follows:

For x > 0 (sale): F(x) = |x| * 0.015

For x < 0 (return): F(x) = |x| * 0.005

The domain of the function is the set of all possible input values, which in this case is all real numbers. However, due to the specific conditions mentioned, the domain is restricted to positive values of x for the "sale" scenario (x > 0) and negative values of x for the "return" scenario (x < 0).

Therefore, the domain of the function F(x) is:

For x > 0 (sale): x ∈ (0, +∞)

For x < 0 (return): x ∈ (-∞, 0)

The range of the function is the set of all possible output values. Since the function involves taking the absolute value of x and multiplying it by a constant, the range will always be non-negative. In other words, the range of the function F(x) is:

For x > 0 (sale): F(x) ∈ [0, +∞)

For x < 0 (return): F(x) ∈ [0, +∞)

In conclusion, the domain of the function F(x) is x ∈ (0, +∞) for sales and x ∈ (-∞, 0) for returns, while the range is F(x) ∈ [0, +∞) for both scenarios.

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In a paired t-test, we use the D) Difference. of two observations for each subject.

A paired t-test is a statistical test used to compare the means of two related groups. In this test, we use the difference of two observations for each subject.

For example, if we are comparing the effectiveness of two different drugs, we would measure the response of each patient to both drugs and then calculate the difference between the two responses.

This gives us a single value for each subject that represents the change in response between the two drugs. We then use these differences to calculate the t-statistic.

The formula for the t-statistic in a paired t-test is:

t = (mean difference / (standard deviation of differences / √n))

Where n is the number of pairs of observations. This formula uses the mean difference (i.e., the average of the differences between the two groups), which is calculated by subtracting the second observation from the first observation for each subject.

Therefore, the correct answer to the given question is D. Difference.

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The set (AnB) U (ANB) within the universal set U = {-10, -9, ..., 1, 3, 4, 5, 7, 8, 9, 10}, in ascending order.

To find the set (AnB) U (ANB) within the universal set U = {-10, -9, ..., 10}, where A = {3, 4, 7} and B = {1, 4, 5, 8}, we first need to determine the intersection and union of sets A and B. The intersection (AnB) contains the common elements between A and B, while the union (ANB) includes all elements from A and B without duplicates. Then, we combine the intersection and union sets, removing any duplicates, and sort the resulting set in ascending order within the given universal set U.

Set A = {3, 4, 7}

Set B = {1, 4, 5, 8}

Intersection (AnB) = {4} (common element in both A and B)

Union (ANB) = {1, 3, 4, 5, 7, 8} (elements from A and B without duplicates)

Combining (AnB) and (ANB), and removing duplicates, we have:

(AnB) U (ANB) = {1, 3, 4, 5, 7, 8}

Next, we need to consider the given universal set U = {-10, -9, ..., 10}.

Sorting the set (AnB) U (ANB) in ascending order within the universal set U, we have:

{-10, -9, ..., 1, 3, 4, 5, 7, 8, 9, 10}

Therefore, the set (AnB) U (ANB) within the universal set U = {-10, -9, ..., 1, 3, 4, 5, 7, 8, 9, 10}, in ascending order.



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Answer: The last one

Step-by-step explanation: there is two zeros and every input (x) can only have one output.

Answer:

The last one

Step-by-step explanation:

zero and every input (x) can only have one out put

Answer:

16

Step-by-step explanation:

there are 4 1/4 servings in one cup

there are 4 cups so 4×4

Answer:

The answer of this would be 4.

Step-by-step explanation:

1/4 + 1/4 + 1/4 + 1/4 = 4

It is called a Scalene triangle if all three sides have different lengths.

A triangle is a 3-sided polygon consisting of three segments and three angles that meet at three different vertices, according to geometry. All of the vertices lie on a plane surface. A triangle has a total of six parts. There are three sides, each of which is a line segment. The point at which two sides meet is referred to as a vertex or corner. The region of the plane enclosed by a triangle is referred to as its interior, while the point at which the three sides meet is referred to as its vertex or corner. A triangle can be classified into different types based on the length of its sides and the size of its angles. For instance, based on the lengths of its sides, a triangle can be classified into Scalene triangle, Isosceles triangle, or Equilateral triangle.

A triangle in which all three sides are different in length is called Scalene triangle. Since none of the sides of a scalene triangle are the same length, none of the angles are the same size in this type of triangle. In a scalene triangle, the length of the sides, as well as the size of the angles, can differ significantly.

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Answer:

The answer would be 144

Step-by-step explanation:

Plz Mark Brainliest!

Answer:

30 is the answer hope this helps!!

Answer:

60/3=20

20/21

Step-by-step explanation:

Answer:  A) 7 more than the product of one fifth and 18 minus 3

Step-by-step explanation:

B and D can not be the answers, because "7 +" means that is 7 more than, it's not timing, if it's time it will be a different expression.

The expression of B would be 7 x one fifth(18 - 3)

And D would be 7 x one fifth x (18 - 3)

So there is only A and C left.

For c, it's the difference of one fifth and 18, which means that is one fifth - 18. It didn't fit the expression, so the answer would be A.  

We check A, we get 7 + (one fifth x 18 - 3)

1) vertical angles theorem

2) transitive property of congruence

A transversal line is a line that crosses through two lines on the same plane.

Example:

I attached a photo below showing the Transversal line (the line in red) crossing two lines located on the same plane. Note: The Transversal line is only the red line, not the whole diagram below.

I am open to corrections if I unintentionally added false information :).

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The solution is Option C and Option D.

The exponential function is given by f ( x ) = 2 ( 3 )ˣ

The exponential function is given by f ( x ) = 800 / 4ˣ

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

Let the x values be x = { 0 , 1 , 2 , 3 }

Let the y values be y = { 7 , 19 , 31 , 43 }

The equation of line is y = 12x + 7

This is a linear equation

b)

Let the x values be x = { 0 , 1 , 2 , 3 }

Let the y values be y = { 5 , 10 , 15 , 30 }

The equation is a quadratic equation

c)

Let the x values be x = { 0 , 1 , 2 , 3 }

Let the y values be y = { 2 , 6 , 18 , 54 }

The equation is y = 2 ( 3 )ˣ

This is an exponential function

d)

Let the x values be x = { 0 , 1 , 2 , 3 }

Let the y values be y = { 800 , 200 , 50 , 12.5 }

The equation is f ( x ) = ( 800 / 4ˣ )

This is an exponential function

Hence , the exponential equations are solved

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The polynomial function with leading coefficient of 3 and root -4, i, and 2 all with multiplicity of 1 is f(x) = 3(x+4)(x-i)(x+2)

The Leading coefficients are the numbers written in front of the variable with the largest exponent.

Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero.

The multiplicity is the number of times a given factor appears in the factored form of the equation of a polynomial.

Therefore, the polynomial f(x) = 3(x+4)(x-i)(x+2) has a root -4 , 1 and -2.

The leading coefficient is 3. The multiplicity is all one.

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Answer:

d

Step-by-step explanation:

Answer:

Given that the garden is a right triangle with base 25m start and height 30 m The length of the hypothenus can be achieved by using pythagorean theorem. Please find the attached file for the diagram. I made a large unit for the sake of clarity.

Answer:

6.0 on the left side 5.0 at the bottom 7.8 on the right side

Step-by-step explanation: