Find the volume of a right-circular cone of base radius r and height h.

There is sufficient data to conclude that contemporary males are taller than 18th century males​ ,The p-value is less than 0.00001. There is sufficient data to reject the null hypothesis.

X = 70.1 represent the sample mean

σ = 2.52 represent the population standard deviation  

n = 30 is  sample size  

μ = 65.2 represent the value that we want to test

∝, represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

pₙ represent the p value for the test (variable of interest)  

We need to conduct a hypothesis in order to check if the mean is higher than 65.2, the system of hypothesis would be:  

Null hypothesis: μ ≤ 65.2

Alternative hypothesis: μ > 65.2

If we analyze the size for the sample is = 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t = X - μ / σ/√n = 10.65

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

And the best conclusion for this case would be:

The p-value is less than 0.00001. There is sufficient data to reject the null hypothesis.

Learn more about Sample mean:

https://brainly.com/question/29441200

#SPJ4

The inequality equation is -4 < x < 6

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the modulus function be represented as A

Now , the equation will be

| x - 1 | < 5   be equation (1)

Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.The value of the modulus function is always non-negative.

So , -5 < x - 1 < 5

On simplifying the equation , we get

Adding 1 on both sides of the equation , we get

-5 + 1 < x - 1 + 1 < 5 + 1

-4 < x < 6

Hence , the number line will denote the inequality having x more than -4 and less than 6

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ1

The maximum number of skateboards Julio can make is 7.

A division is a process of splitting a specific amount into equal parts.

Given that, Julio has 3 yards of wood he needs 2/5 of a yard to make a skateboard, we need to find how many skateboards can be made,

So, to find the number of skateboards we will divide total length of wood to the length of on skateboard,

Therefore,

The number of skateboards = 3 / 2÷5

= 3×5/2

= 15/2

= 7.5

Hence, the maximum number of skateboards Julio can make is 7.

Learn more about division, click;

https://brainly.com/question/21416852

#SPJ1

The mean of the given data be 0.17.

Variance is a measure of dispersion that considers the spread of all data points in a data collection, in contrast to range and interquartile range. The standard deviation, which is just the square root of the variance, is the other often used measure of dispersion.

A measure of variability is the variance. It is determined by averaging the squared deviations from the mean. Your data set's variability is shown by its variance. The variance is greater in respect to the mean when the data are more dispersed.

Since the data are stated in the question to be evenly distributed, the mean will be determined using the formula.

Mean = a + b /2

Where, a be the minimum value and b be the maximum value

for the data: 0.15,0.16,0.17,0.18, and 0.19

The value of a = 0.15 and b = 0.19

Substitute the values in the above equation, we get

Mean = (0.15 + 0.19) /2

simplifying the above equation, we get

Mean = 0.34/2

Mean = 0.17

Therefore, the mean of the given data be 0.17.

The complete question is:

Thickness measurements of a coating process are made to the nearest hundredth of a millimeter. The thickness measurements are uniformly distributed with values 0.15, 0.16, 0.17, 0.18, and 0.19. Determine the mean and variance of the coating thickness for this process.

To learn more about mean and variance refer to:

https://brainly.com/question/28382724

#SPJ4

No, it is not necessarily true that ∀xp(x) ∨ ∀xq(x) is true if it is true that ∀x(p(x) ∨ q(x)).

For example, if we let p(x) be "x is an even number" and q(x) be "x is an odd number", then it is true that ∀x(p(x) ∨ q(x)) because all numbers are either even or odd. However, it is not true that ∀xp(x) ∨ ∀xq(x) because not all numbers are even and not all numbers are odd. In formulaic terms, if p(x) and q(x) are predicates over some domain, then ∀x(p(x) ∨ q(x)) is true, which can be expressed as ∀x[p(x) ∨ q(x)], while ∀xp(x) ∨ ∀xq(x) is not true, which can be expressed as [∀xp(x)]∨[∀xq(x)].

Learn more about domain here:

https://brainly.com/question/28135761

#SPJ4

A relationship that has a zero slope include the following: A. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2.

In Mathematics, the slope of a linear relationship can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided, we can logically deduce the following slope and data points on the line:

Substituting the given data points into the slope formula, we have the following;

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (2 - 2)/(-1 - (-3))

Slope, m = 0/2

Slope, m = 0.

Read more on zero slope here: https://brainly.com/question/15272218

#SPJ1

Answer:

IT IS C!!! ITS RIGHTTTTTTT

Answer:

Simon used the distributive property to get from step 3 to step 4. This is because in step 3, he multiplied both sides of the equation by -8, which is an example of the distributive property.

Step-by-step explanation:

mark as brainliest

The value of 10⋅(10−4) is equal to 60. This is because 10 multiplied by the difference between 10 and 4 (which is 6) is equal to 60.

10⋅(10−4) is an expression that can be expanded by multiplying 10 by each term inside the parentheses. Since ⋅=2, 10 multiplied by 10 is equal to 10⋅10, which is equal to 100. 10 multiplied by 4 is equal to 10⋅4, which is equal to 40. Therefore, 10 multiplied by the difference between 10 and 4, which is 6, is equal to 10⋅6, which is equal to 60. Therefore, the answer to 10⋅(10−4) is equal to 60.

To solve this expression, it is important to understand the order of operations. First, anything inside of parentheses must be solved first. Then, multiplication must be solved before addition or subtraction. Because there is only one operation inside the parentheses, which is subtraction, it is easy to solve 10⋅(10−4) by multiplying 10 by each of the terms inside the parentheses. Since 10 multiplied by 10 is equal to 100 and 10 multiplied by 4 is equal to 40, 10 multiplied by the difference between 10 and 4 is equal to 10 multiplied by 6, which is equal to 60. Therefore, the answer to 10⋅(10−4) is equal to 60.

Learn more about value here

https://brainly.com/question/18523098

#SPJ4

Height 6 2 in cm is 187.96 cm.

To convert from feet and inches to centimeters, use the following two conversion equations:

6 feet + 2 inches = 190 centimeters = 1.8796 meters

(6"2' = 187.96 cm = 1.8796 m)

Multiply the value in feet by 30.48 to get the result of the conversion of feet in cm:

6 x 30.48 = 183cm

Multiply the value in inches by 2.54 to get the result of the conversion from inches to cm:

2 x 2.54 = 5.08cm

Now, add the two partial results to obtain the final value in cm:

183 + 5.08 = 188cm.

Divide the value 1.88cm by 100 to get the result in meters.

188/100=1.88m

To learn about height refers to:

brainly.com/question/10726356

#SPJ4

Students will learn how to construct simple equations corresponding to practical situations and thus finding the solution of the equations .

In the time-independent Schrödinger equation it is stated that

                               [tex]-h/2m.d²ψ(x)/dx²+V(x)ψ(x)=Eψ(x)[/tex]

And it is common to give V(x)

some standard "forms": the infinite well, the finite square well, etc.

The problem is that I'm finding it pretty difficult to get what V(x)

actually is. I've read in books that it is the potential energy, but...

As far as I know, the potential energy depends on the properties of the particle itself (its mass, its charge), but, for instance, the finite square well is defined as

                          [tex]V(x)={−V0 if -a < x < a[/tex]

                                 [tex]{0 if|x| > a[/tex]

where V0  is a positive constant. In this case,V0 seems to be fixed, but wouldn't it depend on the properties of the particle.

A concrete and intuitive example of this would be appreciated.  

To learn more about finite square refers to:

https://brainly.com/question/30229503

#SPJ4

The x-intercept and y-intercept can find by using graphically and solving the equation.

What is the x-intercept?

A line's x-intercept and y-intercept are the points at which the x- and y-axes, respectively, are crossed.

If we have an equation, then there are two ways to find x-intercepts and y-intercepts.

1) Graphically

2) Solving the equation

Graphically:

If we have a graph of an equation, then find the points where the graph cuts the x-axis. The points are known as x-intercepts. The graph that cuts the y-axis is the y-intercepts.

Solving the equation:

Putting x = 0 in the equation to find the value y-intercept.

Put y = 0  in the equation to find the value x-intercept.

To learn more about intercepts, click on the below link:

https://brainly.com/question/16609931

#SPJ4

The correct check digit for the UPC code 6-73419-23216- is "3".

The check digit is used to verify the accuracy of the UPC code when it's scanned. It's the last digit of a UPC code and is calculated using a formula based on the first 11 digits.

The formula involves adding up the digits in the odd-numbered positions and multiplying the sum by three, then adding up the digits in the even-numbered positions, and subtracting the second sum from the first sum.

The check digit is then calculated by taking the difference and finding the smallest number that, when added to the difference, is a multiple of 10. The result of this calculation is the check digit.

In this case, the correct check digit is "3".

To know more about UPC code click on the link below:

https://brainly.com/question/12538564#

#SPJ11

y(e2) = 4e^2 + (53 - 4e^2)e^(-16e^2), found by integrating the ODE y′ = 16x and using the initial condition y(e) = 53.

What is differential equation ?

A differential equation is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable.

mu(x) = e^(int 16 dx) = e^(16x^2/2)

multiply both sides of the differential equation by the integrating factor to obtain:

mu(x) * y′ = 16x * mu(x)

Integrating both sides with respect to x, we get:

mu(x) * y = 8x^2 + C

Dividing both sides by the integrating factor, we get:

y = 4x^2 + Ce^(-16x^2/2)

Using the initial condition y(e) = 53, we can find the value of the constant C:

53 = 4e^2 + Ce^(-16e^2/2)

Solving for C, we get:

C = 53 - 4e^2

So the general solution for the differential equation is:

y = 4x^2 + (53 - 4e^2)e^(-16x^2/2)

Finally, to find y(e2), we plug in x = e2 into the general solution:

y(e2) = 4e^2 + (53 - 4e^2)e^(-16e^2)

And that gives us the value of y at x = e2.

y(e2) = 4e^2 + (53 - 4e^2)e^(-16e^2), found by integrating the ODE y′ = 16x and using the initial condition y(e) = 53.

To learn more about differential equation visit : brainly.com/question/14620493

#SPJ4

The estimated area of the unshaded rectangle is 5625 square inches.

The formula for calculating the area of a rectangle. Rectangle surface area. A = l × b.

Once the length and breadth of a rectangle are determined, the area is computed.

The area of a rectangle may be calculated by multiplying its length and width.

The estimated value of the length of the shaded square is: 11 inches

The estimated value of the area of the unshaded rectangle is: 5625 square inches.

To find the estimated length of the shaded square,

We can use the square root of the area:

√(125) = 11

To find the estimated area of the unshaded rectangle,

We can multiply the length by the width:

75 * 11 = 825

For more questions on Area of rectangle

https://brainly.com/question/25292087

#SPJ4

The slope of the tangent is 2π.

The slope of a line, often denoted by the letter "m," is a measure of how steep or inclined the line is. It represents the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.

To find the slope of the line tangent to the polar curve at a specific point, we need to differentiate the polar equation with respect to θ and evaluate it at the given value of θ.

The polar equation given is r = 4θ². To differentiate this equation with respect to θ, we need to express r in terms of θ and then differentiate. Since r = 4θ², we can rewrite it as:

r = 4θ² = 4(θ²)

Now, we can differentiate both sides of the equation with respect to θ:

dr/dθ = d(4θ²)/dθ

Using the power rule for differentiation, the derivative of θ² with respect to θ is 2θ:

dr/dθ = 4(2θ)

Simplifying, we get:

dr/dθ = 8θ

Now, we can evaluate this derivative at the given value θ = π/4:

dr/dθ = 8(π/4) = 2π

Therefore, the slope of the line tangent to the polar curve r = 4θ² at the point where θ = π/4 is 2π.

Learn more about slopes click;

https://brainly.com/question/3605446

#SPJ6

. side is inches long, side is inches

long,and side is inches long

Here is the complete question. Please find

attached a diagram showing the scaled and real

drawing

Use the given and the of

the scale drawing to determine the side lengths

of the real object

. side a is 7 inches long, side b is 6 inches

long,and side c is 3 inches long

. side a is 30 inches long, side b is 25 inches

long, and side c is 20 inches long

. side a is 40 inches long, side b is 35 inches

long,and side c is 20 inches long

. side a is 175 inches long,side b is 150 inches

long, and side c is inches long

A scale drawing is a reduced form in terms of

of an original image / building / object

the scale drawing is usually reduced at a constant

dimension

= original dimensions /

dimensions of the scale drawing

The scaled drawing is an enlarged image of the

original triangle.

It is enlarged at a ratio of :

original dimensions

a = 35/5 =

b = 30/5=

c = 15/5 =

To know more about

Visit,

://.//

#

The side lengths of the real object will be 175 in, 150 in, and 75 in, respectively.

To determine the side lengths of the real object, we need to use the given scale factor and the side lengths of the scale drawing. The scale factor given is 5:1, which tells us that the scale drawing is 5 times smaller than the real object. Therefore, we can use this ratio to determine the side lengths of the real object. For example, if the side length of the scale drawing is 35 in, then the side length of the real object will be 5 times larger, which is 175 in. We can use this same ratio for the other side lengths of the scale drawing. The side length of the scale drawing is 30 in, so the side length of the real object will be 150 in. The side length of the scale drawing is 15 in, so the side length of the real object will be 75 in. Therefore, the side lengths of the real object will be 175 in, 150 in, and 75 in, respectively.

Learn more about length here

https://brainly.com/question/8552546

#SPJ4

The sailor is 10 meters above the water and the lighthouse is 40 meters tall, so the total height between the two is 50 meters. Therefore, the sailor will first see the lighthouse from 50 meters away.

Assuming the lighthouse is directly in front of the sailor, the light from the lighthouse will reach the sailor first when the total distance between them is 50 meters. This means the sailor will first see the lighthouse from 50 meters away. In addition, the angle between the sailor and the lighthouse will be equal to the angle of the light when it reaches the sailor's eyes. The angle of the light will depend on the curvature of the earth, the height of the lighthouse, and the height of the sailor.

Assuming the lighthouse is at sea level, the angle of the light when it reaches the sailor's eyes can be calculated using the following equation:

Angle

= arcsin (50 / (2 * 6371))

Where 6371 is the radius of the earth in km.

This calculation gives an angle of 0.0058°. This means the light from the lighthouse will reach the sailor from a distance of 50 meters with an angle of 0.0058°.

Learn more about height here

https://brainly.com/question/10726356

#SPJ4

we used the Pythagorean Theorem to solve for the missing side, G, of the right triangle, which is 17.76. Then, using the SOHCAHTOA trigonometric ratio, we solved for the missing angle, H, which is 89.4 degrees.

Using the Pythagorean Theorem, we can solve for the missing side, G. The equation is a^2 + b^2 = c^2. In this case, the two known sides are 12 and 15, so we have 12^2 + 15^2 = G^2. We can solve this equation to get G = 17.76.

To solve for the missing angle, H, we can use the trigonometric ratio SOHCAHTOA. The ratio for finding the angle of a right triangle is opposite over hypotenuse, or H/G. We can use this ratio to solve for H: H = 15 * (53/17.76) = 89.37 degrees. Rounding to the nearest tenth, H = 89.4 degrees.

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ4

Integer -17 represents Rudy's score for 2 weeks.

A negative integer with a minus sign, a zero, or a positive natural number are all examples of integers.

The additive inverses of their positive counterparts are the negative numbers.

In mathematical notation, the Z is widely used to represent the set of numbers.

Rudy's scores:

Then, add 15 and -32 as follows:

= 15 + (-32)

= 15 - 32

= - 17

Therefore, integer -17 represents Rudy's score for 2 weeks.

Read more about integers here:

https://brainly.com/question/929808

#SPJ1

Using points of intersection, The resulting sketch should look like a parabolic arch opening upwards with its vertex at (-3, 9) and endpoints at (5, 45) and (-3, 9), with the region below the x axis for x < -3 and above the x axis for x > 5.

The locations on the coordinate plane where two curves meet or intersect are known as the points of intersection.

By locating the places where the two curves overlap and then sketching the area in between, the area bounded by the curves y = |9x| and y = x2 - 10 may be determined.

First, let's find the points of intersection:

y = |9x| = x² - 10

If 9x >= 0, then |9x| = 9x, and we have:

9x = x² - 10

x² - 9x - 10 = 0

This is a quadratic equation and can be solved using the quadratic formula:

x = (9 ± √(81 + 40)) / 2 = (9 ± √(121)) / 2 = (9 ± 11) / 2 = 5 or -3

If 9x < 0, then |9x| = -9x, and we have:

-9x = x² - 10

x² + 9x - 10 = 0

This is a quadratic equation as well and can be solved using the quadratic formula:

x = (-9 ± √(81 - 40)) / 2 = (-9 ± √(41)) / 2 = (-9 ± 6.4) / 2 = -3 or -1.2

So the two curves intersect at the points (5, 45) and (-3, 9).

Next, we can sketch the region enclosed by the curves:

For x < -3, y = |9x| is below y = x² - 10, so the region is below the x axis.

For -3 <= x <= 5, y = x² - 10 is above y = |9x|, so the region is above the x axis.

For x > 5, y = |9x| is above y = x² - 10, so the region is above the x axis.

The resulting sketch should look like a parabolic arch opening upwards with its vertex at (-3, 9) and endpoints at (5, 45) and (-3, 9), with the region below the x axis for x < -3 and above the x axis for x > 5.

To learn more about points of intersection, Visit

brainly.com/question/11337174

#SPJ4

There are seven lines of symmetry in a heptagon. In a heptagon, the sides and angles are equal. Each vertex and the center of a regular heptagon are where the line of symmetry crosses.

What is Reflectional Symmetry ?

Any symmetry with regard to a reflection is referred to as reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry. In other words, a figure with reflectional symmetry does not alter when it is reflected. There is a line/axis of symmetry in 2D and a plane of symmetry in 3D. When a form or pattern is mirrored in a line of symmetry or a mirror line, this is known as reflective symmetry. The reflected form will have the same size, distance from the mirror line, and other characteristics as the original shape. When a figure can be split into two equal halves that match, it has line symmetry or reflection symmetry.

If a figure can be reflected over a line and retain its original appearance, it possesses reflection symmetry. If a figure can be altered while maintaining its appearance, it possesses symmetry.

To learn more about Reflective symmetry refer to :

brainly.com/question/30357862

#SPJ4

Complete question

Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply. It has only 1 line of reflectional symmetry. A line of symmetry will connect 2 vertices. A line of symmetry will connect a vertex and a midpoint of an opposite side. It has 7-fold symmetry. A line of symmetry will connect the midpoints of 2 opposite sides.

The percent of burger restaurants in that country in 2016​ was:

35.1%

To calculate the percentage of burger restaurants in a specific country in 2016, we can divide the number of burger restaurants in that country by the total number of burger restaurants worldwide, then multiply the result by 100.

Percentage of burger restaurants in a specific country

Percentage of burger restaurants in the specific country

So, in 2016 there were approximately 35.1% of all burger restaurants in the world located in that country.

To know more about percent, click on the link below:

brainly.com/question/14699403

#SPJ4

We solved a problem after several missteps. One thing we are not certain of. We should:

When we are unsure about a part of a calculation, it is a good idea to check for hints that address that part of the calculation. This can help us confirm or correct your understanding of the problem. In addition, speaking with an instructor or classmate can provide valuable insight and help clarify any confusion.

Finally, if we still feel unsure, submitting our answer and then adjusting it based on feedback can help us improve our understanding and knowledge of the material. All of these options can help ensure that we have the most accurate and complete understanding of the problem.

This question should be provided with answer choices, which are:

Learn more about problem solving process here: brainly.com/question/10708306

#SPJ4

Answer:

[tex] \sf \: x = 8[/tex]

Step-by-step explanation:

Given equation,

→ x + 10 = 18

Now the value of x will be,

→ x + 10 = 18

→ x = 18 - 10

→ [ x = 8 ]

Hence, the value of x is 8.

Check the picture below.

notice, it says that PT is perpendicular to SQ.

now onto the other one

well, a parallelogram with one right-angle and at least one pair of congruent sides, hell a rectangle is that, so is an square, so no dice.

a rhombus that has congruent diagonals, well, a square is that but so is a rectangle, no dice.

a parallelogram whose diagonals bisect each other, well, a square has that, sure, a rhombus too and a rectangle too, no dice.

a rectangle with perpendicular diagonals, well, a rhombus has perpendicular diagonals, however is not a rectangle, a square is a rectangle  also with perpendicular diagonals too.

The number of students is the cost of the trip the same at each museum is 25

When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.

 y = 75 +7x . . . . . cost for x students to visit the science center

 y = 50 +8x . . . . cost for x students to visit the natural history museum

Subtracting the first equation from the second, we get

 0 = -25 +x

 25 = x . . . . . add 25; the number of students such that costs are equal

The cost will be the same either place for 25 students.

Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is

 $25/($1 /student) = 25 students.

This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).

Learn more about variable cost on https://brainly.com/question/29767642

#SPJ1

Using mathematical expressions, for the cost of the trip to be the same at each museum, the number of students must be 5.

Mathematical expressions combine variables, constants or numbers, and mathematical operators., without the equation or inequality symbols.

                          Science Center   History Museum

Cost per student       $8                           $5

Fixed cost                  $5                         $20

Let the number of students = x

The total cost at the Science Center = 5 + 8x

The total cost at the History Museum = 20 + 5x

For the cost to be the same at either center:

5 + 8x = 20 + 5x

3x = 15

x = 5

Thus, when the number of students attending either museum is 5, the cost is the same.

Learn more about mathematical expressions at https://brainly.com/question/1859113

#SPJ1

The identity property of multiplication is that the result of the multiplication of any number and one results in the number one.

The multiplication operation have multiple properties, which are presented as follows:

More can be learned about the identity property of multiplication at https://brainly.com/question/2364391

#SPJ1