Your answer is incorrect. Order these numbers from least to greatest. 5.37,5(3)/(10),5.338,(21)/(4)

The mean waiting time for these customers is 18.33 minutes.

The mean waiting time can be calculated by multiplying each waiting time by its frequency, summing up these products, and then dividing by the total number of customers.

In mathematical terms, the mean waiting time is:

Mean = (x1 * f1 + x2 * f2 + ... + xn * fn) / (f1 + f2 + ... + fn)

Where x1, x2, ..., xn are the waiting times, and f1, f2, ..., fn are the corresponding frequencies.

Using the data from the table, we can plug in the values and calculate the mean waiting time:

Mean = (5 * 2 + 10 * 4 + 15 * 6 + 20 * 8 + 25 * 10) / (2 + 4 + 6 + 8 + 10)

Mean = (10 + 40 + 90 + 160 + 250) / 30

Mean = 550 / 30

Mean = 18.33 minutes

Therefore, the mean waiting time for these customers is 18.33 minutes.

Learn about Mean

brainly.com/question/521501

#SPJ11

The vertex of the function is (2 , -5), the axis of symmetry is x = 2, and the intercepts are (2 + √(5) , 0), (2 - √(5) , 0), and (0 , -1).

To find the vertex, axis of symmetry, and intercepts of the function f(x) = x² - 4x - 1, we can use the following formulas:

Vertex: (-b/2a, f(-b/2a))

Axis of symmetry: x = -b/2a

Intercepts:

x-intercept: set f(x) = 0 and solve for x

y-intercept: set x = 0 and solve for y

Using these formulas, we can find the vertex, axis of symmetry, and intercepts of the function:

f(x) = x² - 4x - 1

a = 1, b = -4, c = -1

Vertex: (-b/2a , f(-b/2a)) = (-(-4)/(2)(1) , f(-(-4)/(2)(1))) = (2 , f(2)) = (2 , (2)² - 4(2) - 1) = (2 , -5)

Axis of symmetry: x = -b/2a = -(-4)/(2)(1) = 2

Intercepts:

x-intercept: 0 = x² - 4x - 1

use the quadratic formula to solve for x: x = (-b ± √(b² - 4ac))/(2a) = (-(-4) ± √((-4)² - 4(1)(-1)))/(2(1)) = (4 ± √(20))/2 = (4 ± 2√(5))/2 = 2 ± √(5)

so the x-intercepts are (2 + √(5) , 0) and (2 - √(5) , 0)

y-intercept: f(0) = (0)² - 4(0) - 1 = -1; so the y-intercept is (0 , -1)

Learn more about Axis of symmetry here: https://brainly.com/question/24737967.

#SPJ11

well, for the cosine of G we'll need the hypotenuse GH, so let's get it, Check the picture below.

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{GH}\\ a=\stackrel{adjacent}{\sqrt{6}}\\ o=\stackrel{opposite}{1} \end{cases} \\\\\\ GH=\sqrt{ (\sqrt{6})^2 + 1^2}\implies GH=\sqrt{ 6 + 1 } \implies GH=\sqrt{ 7 } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cos(G )=\cfrac{\stackrel{adjacent}{\sqrt{6}}}{\underset{hypotenuse}{\sqrt{7}}}\implies \cos(G )=\cfrac{\sqrt{6}}{\sqrt{7}}\cdot \cfrac{\sqrt{7}}{\sqrt{7}}\implies \cos(G )=\cfrac{\sqrt{42}}{7}[/tex]

The lengths of a and b are 9.4 and 12 respectively using the Pythagorean theorem.

Pythagoras theorem states for a right angled triangle that, the sum of the squares of base and altitude is the square of the hypotenuse.

Given are two right angled triangles.

For the first right angled triangle, we have to find the length of the hypotenuse.

Using Pythagoras theorem,

a² = 8² + 5²

a² = 64 + 25

a² = 89

a = √89 = 9.43398 ≈ 9.4

For the second right angled triangle, we have to find the length of the altitude.

Using Pythagoras theorem,

17² = b² + 12²

b² = 17² - 12²

b² = 145

b = √145 = 12.04159 ≈ 12

Hence the length of and b are 9.4 and 12 respectively.

Learn more about Pythagoras Theorem here :

https://brainly.com/question/343682

#SPJ9

Your question is incomplete. Most probably, the complete question with the image of the triangle is given below.

Work out the lengths of sides a and b.

Give your answers to 1 decimal place.

Answer:

this is awnser

Step-by-step explanation:

Answer:

X=5 y=27

Step-by-step explanation:

2x+17=6x-3

Take away 2x both sides
17=4x-3
Add 3 to get x on one side
20=4x
20/4 =5
x=5
Subsitute 5 in, 6 x 5 = 30 30-3=27

Answer:

This is an odd function

Step-by-step explanation:

Given a function f(x),

if f(-x) = f(x) then the f(x) is even
If f(-x) = -f(x0 then the function is odd

If neither of the above is true then the function is neither odd nor even

We are given
[tex]f(x) = 4x^3 - x^5 + 5x\\f(-x) = 4(-x)^3 -(x)^5 + 5(-x)\\\\(-x)^3 = - x^3\\(-x)^5 = -x^5\\\\\\\therefore\\f(-x) = 4(-x^3) - (-x^5) + 5 (-x)\\\\= -4x^3 + x^5 - 5x\\\\= -(4x^3 -x^5 + 5x)\\\\= -f(x)[/tex]

So the function is odd

The two real roots of the polynomial function S(r) = r^(5) + 5r^(4) - 7r^(3) - 43r^(2) - 8r - 48 are r = -8 and r = 3.

The two real roots of the polynomial function S(r) = r^(5) + 5r^(4) - 7r^(3) - 43r^(2) - 8r - 48 can be found by factoring the polynomial and finding the values of r that make the function equal to zero.

First, we can factor the polynomial using the Rational Root Theorem, which states that if a polynomial has rational roots, they must be of the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

In this case, the constant term is -48 and the leading coefficient is 1, so the possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, and ±48.

We can use synthetic division to test these possible roots and find the ones that make the function equal to zero. After testing the possible roots, we find that the two real roots are r = -8 and r = 3.

To know more about real roots click on below link:

https://brainly.com/question/27839846#

#SPJ11

a. The point estimate for the birth weights is 2714.58, b. the value of tq is 1.70814, and c. the margin of error for the confidence interval is 124.3. d. The confidence interval for birth weights is (2503, 2927). e. No conclusions can be drawn since the confidence interval contains 2500.

a. The point estimate for the birth weights is 2714.58. This is the average of the sample data and is used as an estimate for the population mean.

b. The value of tq is 1.70814. This is the t-value associated with the given confidence level and degrees of freedom.

c. The margin of error for the confidence interval is 124.3. This is calculated using the formula ME = tq * (s/√n), where tq is the t-value, s is the sample standard deviation, and n is the sample size.

d. The confidence interval for birth weights is (2503, 2927). This is calculated by taking the point estimate and subtracting and adding the margin of error to get the lower and upper bounds of the interval.

e. No conclusions can be drawn since the confidence interval contains 2500. This means that the true population mean could be less than 2500, greater than 2500, or equal to 2500.

For more such questions on Confidence interval.

https://brainly.com/question/24131141#

#SPJ11

Mrs Sheperd was going  7.5 miles per hour

Let us assume that d represents the distance covered by Mrs Shepard, 't' represents the time required and 's' represents the speed of her bike.

Here, d = 5.25 miles

t = 0.7 hours

We know that the formula of speed is speed = distance/time

Using this formula we calculate the speed (s) of Mrs Shepard's bike.

speed = distance/time

⇒ s = d/t

⇒ s = 5.25/0.7

⇒s = 7.5 miles per hour

This means that the speed (s) of Mrs Shepard's bike was 7.5 miles per hour

Learn more about speed here:

https://brainly.com/question/30461913

#SPJ4

The set of all first components of the ordered pairs of a function are called the Independent Variable.

In a function, the first component of the ordered pairs is known as the independent variable, which is the input value of the function. The second component of the ordered pairs is known as the dependent variable, which is the output value of the function. The set of all first components is also called the domain of the function, while the set of all second components is called the range of the function.

Therefore, the correct term to complete the statement is the Independent Variable.

Larn more about independent variable here: https://brainly.com/question/82796.

#SPJ11

Niagara Falls' inclination is roughly 69.8 degrees because Orlando is 178 millimetres due south of the falls, which puts it at a slight angle to Orlando.

Two rays or lines that intersect at the angle's vertex form an angle, a geometric figure in mathematics. Angle sizes range from 0 degrees (a zero angle) to 360 degrees, and they are typically measured in degrees or radians (a full rotation). Mathematical disciplines like geometry, trigonometry, and calculus all use angles as a fundamental concept. They're used to explain how things are positioned in space.

given

The Law of Cosines can be used to calculate Niagara Falls' slope. Let's call the distances from Niagara Falls, Denver, and Orlando, as well as the distance from Denver to Orlando, "a," "b," and "c," respectively. Then:

235mm for a and 178mm for b.

c = 273 mm

For any triangle with side a and angle A across from side a, the following is true in accordance with the Law of Cosines:

A² = 2bc cos - b² + c²

Angle A is the angle at Niagara Falls, and we're trying to find it. The formula above is rearranged to give us:

cos A = (b²+c²-a²)/2bc

If we substitute our current numbers, we get:

cos A is equal to (2 x 178 x 273) / (178 x + 273 - 2352). cos A = 0.3506

Inverse cosine of both sides is calculated, and the result is:

[tex]A = cos^{-1} (0.3506) (0.3506)[/tex]

69.8 degrees A

Niagara Falls' inclination is roughly 69.8 degrees because Orlando is 178 millimetres due south of the falls, which puts it at a slight angle to Orlando.

To know more about angles visit:

brainly.com/question/14569348

#SPJ1

Complete question:

On a map, Orlando is 178 mm due south of Niagara Falls, Denver is 273 mm from Orlando, and Denver is 235 mm from Niagara Falls. Find the angle at Niagara Falls.

the actual distance the Patel family will travel by the time they reach Clarksville is 72 miles.

What is the distance in math?

As its name implies, any distance formula outputs the distance (the length of the line segment). In coordinate geometry, there is a number of formulas for finding distances, such as the separation between two points, the separation between two parallel lines, the separation between two parallel planes, etc.

Smithville to Jonesville distance in map = 3(3/4) inches = (15/4) inches .

given that,

(1/2) inch = 4 miles .

1 inch = 8 miles .

Distance from Smithville to Jonesville = (15/4) * 8 = 30 miles .

similarly,

Jonesville to Clarksville distance in map = 5(1/4) = (21/4) inches .

Distance from Jonesville to Clarksville = (21/4) * 8 = 42 miles .

The actual distance the Patel family will travel by the time they reach Clarksville = 30 + 42 = 72 miles

Hence, the actual distance the Patel family will travel by the time they reach Clarksville is 72 miles.

Learn more about distance, by the following link.

https://brainly.com/question/26046491

#SPJ1

Answer: −3x^2+x+2

Step-by-step explanation:

Solution of the expression is,

⇒ - 3x² + x + 2

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

WE have to given that;

To divide 15x⁴ − 5x³ − 10x² by −5x².

Now, We can solve as;

⇒ (15x⁴ − 5x³ − 10x²) / −5x²

⇒ 5x² (3x² - x - 2) / - 5x²

⇒ - (3x² - x  - 2)

⇒ - 3x² + x + 2

Thus, After divide we get;

⇒ - 3x² + x + 2

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Answer:

9

Step-by-step explanation:

7/8 divided by 1/8 is 7

7+2 = 9

Brainliest?

In the given question, 1 British pound will be equal to AU$2.00.

Algebra is a common thread that runs through almost all of mathematics. It is the study of variables and the principles for manipulating them in formulas. Since all mathematical uses involve manipulating variables as though they were numbers, elementary algebra is a prerequisite.

The area of mathematics known as algebra aids in the representation of situations or issues as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z along with mathematical processes like addition, subtraction, multiplication, and division.

A homogeneous relation R over the set A, which includes the elements x, y, and z, is what mathematicians refer to as a transitive relation. If R relates x to y and y to z, then R also relates x to z.

In this question,

1£ = US$1.40             (Equation 1)

AU$1 = US$0.70      (Equation 2)

Multiplying equation 2 by 2, we get

AU$2 = US$1.40

Using equation 1, we can say that,

1£ = AU$2

To know more about Algebra, visit

https://brainly.com/question/24875240

#SPJ1

x = 23°

4) To find the value of Angle B, we can use the alternate interior angles theorem, which states that if two parallel lines are cut by a transversal, the alternate interior angles are equal. In this case, we can say that ∟AB=∟CD, since ABCD is a parallelogram. Therefore, we can set 6x-15 = 4x-11 and solve for x to get x = 4. Plugging this back in, we can find that ∟AB = 6(4)-15 = 15°.

5) To find the value of Angle R, we can use the same method as above. We can set ∟QR=∟PS, since PQRS is a parallelogram. Therefore, we can set 8x-12 = 3x+5 and solve for x to get x = 7. Plugging this back in, we can find that ∟QR = 8(7)-12 = 56°.

7) To find the measure of x, we can use the fact that the quadrilateral is a rhombus. A rhombus is a quadrilateral with all four sides equal in length, so we can say that ∟AB = ∟CD. Therefore, we can set 23=x and solve for x to get x = 23°.

Learn more about angles theorem

brainly.com/question/18868430

#SPJ11

(the new location) of point under each of the following general transformations are as follows:

a. Image: (3, -10)

b. Image: (-1, -10)

c. Image: (-4/3, -10)

d. Image: (14/3, -10)

What is general transformations?

A transformation is a procedure that involves either changing an object's orientation to create an image or expanding or reducing its size to create a new one.

We'll use the given point (4, -10) as the input for each transformation, and apply the transformation to find the new location of the point.

a. f(x) = (x + 2) - 3

f(4) = (4 + 2) - 3 = 3

Therefore, the new location of the point under the transformation f(x) = (x + 2) - 3 is (3, -10).

b. f(x) = 2(x - 4) - 1

f(4) = 2(4 - 4) - 1 = -1

Therefore, the new location of the point under the transformation f(x) = 2(x - 4) - 1 is (-1, -10).

c. f(x) = -1/3x

f(4) = -1/3(4) = -4/3

Therefore, the new location of the point under the transformation f(x) = -1/3x is (-4/3, -10).

d. f(x) = (2/3)x + 2

f(4) = (2/3)(4) + 2 = 8/3 + 2 = 14/3

Therefore, the new location of the point under the transformation f(x) = (2/3)x + 2 is (14/3, -10).

In each case, the image of the point is the new location after applying the transformation.

a. Image: (3, -10)

b. Image: (-1, -10)

c. Image: (-4/3, -10)

d. Image: (14/3, -10)

To know more about general transformations visit,

https://brainly.com/question/28025572

#SPJ1

Answer:

There are two situations involving rational exponents or radicals that will never result in a negative real solution:

Even-indexed roots: If we take the square root, fourth root, sixth root, etc. of a non-negative real number, the result will always be non-negative. For example, the square root of 9 is 3, and the fourth root of 16 is 2, both of which are non-negative. This is because even-indexed roots always produce a non-negative result, regardless of the sign of the original number.

Exponents with even denominators: If we raise a non-negative real number to an exponent with an even denominator, the result will always be non-negative. For example, (4^2/4) is equal to 4, which is non-negative. This is because any negative base raised to an even power results in a positive number, and any positive base raised to an even power also results in a positive number. Therefore, any exponent with an even denominator will always produce a non-negative result, regardless of the sign of the original number.

The Wald Interval: Wald intervals can be used to obtain interval estimates for a parameter such as an odds ratio. Wald intervals can be used for normally distributed data, and for large samples, they can be used for binary data. Wald intervals are used to calculate confidence intervals.Using the Wald interval, the odds ratio and its 95% confidence interval are given by the formula  which is as follows:OR=Odds ratioZ_α/2=Z-value of a normal distribution at a level α/2 of significance SE=Standard errorOR=1.0599, Z_α/2=1.96, and SE=0.5704 can be obtained from the data in the table. Odds ratio (OR) is the ratio of the odds of an outcome in the treatment group compared to the odds of that outcome in the control group. The odds ratio indicates the likelihood of the outcome occurring in one group compared to the likelihood of it occurring in the other. In this case, OR=1.0599.Profile Likelihood: Profile likelihood is an approach that can be used to construct a confidence interval. The profile likelihood is a way of eliminating nuisance parameters, which are parameters that are not of direct interest but are necessary for calculating the parameter of interest. A confidence interval for the parameter of interest can be calculated using the profile likelihood.The odds ratio and its 95% confidence interval can be obtained using the profile likelihood.The odds ratio (OR) is given by the formulaOR=exp[θ], where θ is the natural logarithm of the odds ratio. In this case, OR=1.0599.The 95% confidence interval is obtained by finding the values of θ that correspond to the 2.5th and 97.5th percentiles of the distribution of the profile likelihood ratio test statistic. The profile likelihood ratio test statistic is defined as twice the difference in the log-likelihoods between the model with the parameter of interest fixed at its maximum likelihood estimate and the model with the parameter of interest estimated.The effect of the zero cell count on the confidence interval is that it makes the interval wider. When a cell count is zero, the odds ratio cannot be calculated, which can lead to a larger standard error and a wider confidence interval.

The probability that a person from the survey who has a tablet also has a laptop is 5.8%.

To calculate this, we can use conditional probability. We know that 62% of respondents have a tablet, and 12% of the respondents who have a laptop also have a tablet. So, the probability that a respondent has a laptop given that they have a tablet can be calculated as follows:

We know that P(laptop and tablet) = 0.12 (since 12% of laptop owners also have a tablet), and P(table) = 0.62 (since 62% of respondents have a tablet). So, plugging these values into the formula gives:

However, this is the probability that a person who has a tablet also has a laptop. The question asks for the probability that a person from the survey who has a tablet also has a laptop, which means we need to consider the overall probability of having a laptop, regardless of whether or not they have a tablet. This can be calculated as follows:

P(laptop) = 0.3

So, the probability that a person from the survey who has a tablet also has a laptop, given that they have a laptop, is:

P(laptop|tablet and laptop) = P(laptop and tablet) / P(laptop) = 0.12 / 0.3 = 0.4 or 5.8%

Therefore, the correct answer is 5.8%.

Learn more about Probability:

https://brainly.com/question/24756209

#SPJ4

The critical numbers of f''(x) are 5 and 4.5.

To find the critical numbers of f(x), we need to first find the derivative of f(x) and then set it equal to zero. The derivative of f(x) is f'(x) = 4x3 - 57x2 + 270x. Setting this equal to zero gives us:

4x3 - 57x2 + 270x = 0

Factoring out an x gives us:

x(4x2 - 57x + 270) = 0

Using the quadratic formula, we can find the values of x that make this equation true:

x = (-(-57) ± √((-57)2 - 4(4)(270)))/(2(4))

x = (57 ± √(3249 - 4320))/8

x = (57 ± √(-1071))/8

x = (57 ± i√1071)/8

Since the values of x are complex, there are no real critical numbers of f(x).

The second derivative of f(x) is f''(x) = 12x2 - 114x + 270. Setting this equal to zero gives us:

12x2 - 114x + 270 = 0

Using the quadratic formula, we can find the values of x that make this equation true:

x = (-( -114) ± √((-114)2 - 4(12)(270)))/(2(12))

x = (114 ± √(12996 - 12960))/24

x = (114 ± √36)/24

x = (114 ± 6)/24

x = 5 or x = 4.5

The table below shows the critical numbers of f(x) and f''(x) in ascending order:

| Critical Number | f(x) | f''(x) |
|-----------------|------|--------|
| 4.5             | N/A  | 0      |
| 5               | N/A  | 0      |

To know more about derivative click on below link:

https://brainly.com/question/25324584#

#SPJ11

The midline or midsegment theorem calculate the value of P. the value of the variable, P that base length in the trapezoid is equals to the 13.

A trapezoid is a 4-sided (square) shape in which some sides are parallels and others not. The midsection of a trapeze is the line that runs from the middle of one leg to the middle of the other. The midsection or Midsegment theorem of a trapezium states that if a line parallel to the two bases passes through the middle of one leg, it also passes through the middle of the other leg. Also, the length of the middle fragment is half the length of two bases. Now we see a trapezoid in the image above, the length of the midsegment = 25

One of the bases of the trapezium = 37

We need to calculate the value of the other base length P Using Midsigment or Midline Theorem, Midsigment = length of two bases/2

=> 25 = (37 + P)/2

=> 50 = 37 + P

=> P = 50 - 37

=> P = 13

Hence, required length is 13.

For more information about Midsegment , visit :

https://brainly.com/question/29512883

#SPJ4

Complete question:

Use the midline theorem to find the value of the variable in the trapezoid. See the above figure.

f (x) = -3x4 + 6x3 + 33x2 - 18x - 108.

The correct answer is a. f (x) = -3x4 + 6x3 + 33x2 - 18x - 108, since this is a polynomial of the lowest degree (4) that has zeros of -2 (multiplicity 2) and 3 (multiplicity 2), as well as f(0)=-108. To solve this problem, use the Factor Theorem to determine the factors of the polynomial. Since the zeros are -2 and 3, the polynomial must factor into (x+2)2 and (x-3)2. This gives us the polynomial: f (x) = -3(x+2)2(x-3)2 - 108. Finally, expand the polynomial to get the answer: f (x) = -3x4 + 6x3 + 33x2 - 18x - 108.

Learn more about polynomial

brainly.com/question/11536910

#SPJ11

Slope of PR = Slope of SU = rise / run = -3/2

The slope of a line is the ratio of the rise over the run, which is m = change in y / change in x.

To prove that the slope of line segment PR and the slope of line segment SU are equal, find the slope of each of the line given that are similar triangles:

Slope of PR = rise / run = PQ/QR = -3/2

Slope of SU = rise / run = ST/TU = -6/4 = - 3/2

Therefore, both line segments have the same slope of -3/2.

Learn more about the slope on:

https://brainly.com/question/3493733

#SPJ1

In a case whereby Malcolm is finding the solutions of this quadratic equation by factoring 3x²-24x=-45, the correctly factored equation that can be used to find the solutions is 3(x-3)(x-5)=0

The given equation is  3x²-24x=-45

The equation can be re written as;

3x²-24x=-45

3x²-24x+45 = 0

Then we can divide by 3 and have

x²-8x + 12= 0

thene if we factorize we have

x= 5, x= 3

Therefore, option B is correct.  which is 3(x-3)(x-5)=0

Learn more about equation at:

https://brainly.com/question/2972832

#SPJ1

Answer:

The factors of 899 are 1, 29, 31, 899. Therefore, 899 has 4 factors.

Step-by-step explanation:

Therefore, 899 has 4 factors. And is not prime

Answer: C.

Step-by-step explanation:

Answer:

x > 5

Step-by-step explanation:

-2x - 2 < 8

-2x < 10

x > 5

So, the answer is x > 5