an equilateral triangle has a side measure of 10 in. what is the measure of each of the angles of the triangle? question 1 options: 10 degrees 60 degrees 30 degrees 18 degrees

Answers

Answer 1

On solving the provided question, we can say that since an equilateral triangle so, each angle will be 60

What is triangle?

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

since an equilateral triangle has a side measure of 10 in.

and it is a equilateral triangle

so, all sides will be 10

so, each angle will be 60

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ4


Related Questions

9) a 6 ft tall man walks at the rate of 5 ft/sec toward a street light that is 16 ft above the ground. a. at what rate is the length of his shadow changing when he is 10 ft from the base of the light?

Answers

When he is 10 feet from the base of the light, the rate at which the tip of his shadow moves is 10ft/s, and when he is 10 feet from the base of the light, the rate at which the length of his shadow changes is 4ft/s.

Given, the height of a man = 6 feet

Height of light = 15 feet

Rate of walk by man, dx/dt = 5 feet per second.

a) we have to find the rate at which the tip of his shadow is moving when he is 10 feet from the base of the light.

By using ratio of similar triangles,

15/y = 6/(y - x)

On cross multiplication,

15(y - x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

Dividing by 3 on both sides,

3y = 5x

On differentiating both sides with respect to t,

3(dy/dt) = 5(dx/dt)

dy/dt = (5/3)(dx/dt)

dy/dt = (5/3)(6)

dy/dt = 30/3

dy/dt = 10 ft/s

Therefore, the rate at which the tip of his shadow is changing is 10 ft/s.

b) we have to find the rate at which the length of his shadow is changing when he is 10 feet from the base of the light.

Length of shadow, BD = y - x

Rate of change of shadow is calculated by differentiating length with respect to time.

d(BD)/dt = dy/dt - dx/dt

d(BD)/dt = 10 - 6

= 4 ft/s

Therefore, the rate at which the length of his shadow is changing is 4 ft/s.

Thus, when he is 10 feet from the base of the light, the rate at which the tip of his shadow moves is 10ft/s, and when he is 10 feet from the base of the light, the rate at which the length of his shadow changes is 4ft/s.

Complete question:

A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground. (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing?

To know more about length visit: brainly.com/question/8552546

#SPJ4

14. Katherine jogs 6m. The distance she
h
travels in x hours is represented by
mi
k(x) = 6x. Julio jogs 4-
h
he travels in x hours is represented by
j(x) = 4x.
a. Graph and label k(x) = 6x, and
j(x) = 4x.
Distance (mi)
AY
24
The distance
16
0
2
Time (h)
X
b. Who travels further in 4 hours, and
how far does this person travel?
c. Which function has a greater slope?

Answers

Answer: ANSWERS BELOW

Step-by-step explanation:

Part A.

At time = 1 hour, k(x) = 6 and f(x) = 4.

At time = 2 hours, k(x) = 12 and f(x) = 8.

At time = 3 hours, k(x) = 18 and f(x) = 12.

At time = 4 hours, k(x) = 24 and f(x) = 16.

- - -

Part B.

Katherine travels farther within 4 hours. She travels 24 miles in 4 hours, which is 8 more than Julio travels.

- - -

Part C:

The function k(x) has a greater slope. It has a slope of 6, while k(x) has a slope of 4.

Find a unit vector normal to the surface cos(xy) = ez − 2 at the point (1,π,0), and then find the equation of the plane tangent to the surface at this point.

Answers

The equation of the plane tangent to the surface at the point (1,π,0) is:
-sin(π)x + y/ √2 + z/ √2 = -sin(π) + π/ √2

To find a unit normal vector to the surface cos(xy) = e^z - 2 at the point (1,π,0), we need to find the gradient of the surface at that point. The gradient of the surface is given by:

∇f = <f_x, f_y, f_z> = < -ysin(xy), xsin(xy), cos(xy)>

So, the gradient of the surface at the point (1,π,0) is:
< -π*sin(π), cos(π), cos(π)>

To make it a unit vector we divide by the magnitude of the vector
< -π*sin(π), cos(π), cos(π)> = (π^2 + cos^2(π) + cos^2(π))^1/2

< -π*sin(π) / √π^2 + cos^2(π) + cos^2(π), cos(π) / √π^2 + cos^2(π) + cos^2(π), cos(π) / √π^2 + cos^2(π) + cos^2(π)>

The unit normal vector is

< -sin(π), 1/ √2, 1/ √2>

To find the equation of the plane tangent to the surface at this point we need to find a point on the plane and the normal vector.

We know one point on the plane is (1,π,0) and the normal vector is < -sin(π), 1/ √2, 1/ √2>

The equation of the plane is of the form:

ax + by + cz = d

Where (a, b, c) is the normal vector and (x, y, z) are the coordinates of any point on the plane.

so, the equation of the plane tangent to the surface at the point (1,π,0) is:

-sin(π)x + y/ √2 + z/ √2 = d

We can find d by substituting the point (1,π,0) into the equation

-sin(π) * 1 + π/ √2 + 0 = d

d = -sin(π) + π/ √2

so the equation of the plane tangent to the surface at the point (1,π,0) is:

-sin(π)x + y/ √2 + z/ √2 = -sin(π) + π/ √2

Learn more about Calculus here: brainly.com/question/28795935

#SPJ4

to use a binomial distribution to approximate the count of successes in an srs, why do we check that the population size be at least 10 times the sample size?

Answers

As per the binomial distribution, the population size be at least 10 times the sample size is N

The term binomial distribution in math is defined as a probability distribution used in statistics that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions

Here we have given that we have to use a binomial distribution to approximate the count of successes in an SRS.

Here we know that if the 10 % condition is met, then a binomial distribution can be used to approximate the number of successes in a simple random sample.

Here we have also know that the 10% condition requires that the sample represents less than 10% of the population.

On the other hand the fact that the sample size is far too tiny in comparison to the population, then here it is reasonable to infer that the trials of occurrences are independent.

Therefore, the given situation suggests that the sample size n must be smaller than 10% of the population size N in this situation.

To know more about binomial distribution here.

https://brainly.com/question/14565246

#SPJ4

6. A cafeteria is trying to scale a small pancake recipe up in order to feed a group of tourists. The recipe feeds
6 people and the cafeteria is trying to feed 75. The recipe calls for 4 cups of flour and 14 cups of milk and
% cup of sugar (as well as some other minor ingredients such as baking powder).
(c) If there are 4 cups in a quart and 4 quarts in a
gallon, will we need more or less than a gallon
of milk for this recipe?
(b) If one 10 pound bag of flour contains 38 cups
of flour, how many pounds of flour will be
needed for this recipe? Round to the nearest
tenth of a pound.
(d) The cafeteria has a 1.5 kilogram bag of sugar.
If a cup of sugar weighs 0.5 pounds and there
are 2.2 pounds per kilogram, does the cafeteria
have enough sugar to make this recipe?

Answers

Answer:

c) To feed 75 people, the cafeteria would need 14*75/6 = 21 cups of milk. Since 4 cups are in a quart and 4 quarts are in a gallon, the cafeteria would need 21/16 = 1.3125 gallons of milk, which is more than 1 gallon.

b) For the recipe to feed 75 people, the cafeteria needs 475/6 = 6 cups of flour. A 10 pound bag of flour contains 38 cups, so 6/38 = 0.158 of a 10 pound bag is needed. So the cafeteria needs 0.15810 = 1.58 pounds of flour, rounded to the nearest tenth of a pound.

d) The cafeteria has 1.52.2 = 3.3 pounds of sugar in the 1.5 kilogram bag. A cup of sugar weighs 0.5 pounds, so the cafeteria needs 140.5 = 7 pounds of sugar. The cafeteria has enough sugar as 3.3 pounds is more than 7 pounds.

Jennifer makes cupcakes to sell at the local farmers market along with her own cookbook which she recently finished creating. On a recent Saturday, Jennifer sold all 473 cupcakes she made at a cost of $2.50 each. The cost of all ingredients used to make the cupcakes was $97.82. Jennifer only sold 27 cookbooks for $18 each, with the costs of production and licensing costing her $2,200. The Farmers market charged her $200 for use of the booth for the entire day.

Answers

From the given data, we said that this business is not profitable. This can be solved using addition method.

What is addition?

Mathematically, addition is the process of merging several numbers together. The numbers that are being added are known as addends, and the outcome of the addition process, or the answer we ultimately obtain, is known as the sum. It is a fundamental mathematical operation that we employ on a daily basis. We add numbers in many different contexts. In arithmetic sums, the plus sign (+) is used to indicate addition.

The combination of at least two integers constitutes basic addition. Once a student has mastered counting, they may begin to study basic addition. By locating the addend at the top of the chart and tracing down to the row of the second addend, they may utilize an addition chart as a learning tool.

Given that,

Jennifer makes cupcakes to sell at the local farmers market along with her own cookbook which she recently finished creating.

On a recent Saturday, Jennifer sold all 473 cupcakes she made at a cost of $2.50 each, so total amount = 473 × $2.50 = $1182.5

Now, the cost of all ingredients:

= $97.82 + (27 × $18) + $2,200 + $200

= $2983.82

Now, we said that this business is not profitable.

To know more about addition refer to:

brainly.com/question/24536701

#SPJ4

What is the area, in square feet, of an isosceles triangle whose vertex angle is $120^{\circ}$ and whose base is $20$ feet long

Answers

The area of the given  isosceles triangle is 480 square units.

Isosceles triangle:

An isosceles triangle is a triangle with two sides of equal length. Let's do a little activity to understand this better. Take a square piece of paper and fold it in half. Draw a line from the folded top corner to the bottom edge (see image below). Open the sheet and you will see a triangle. Mark the triangle vertices as O, D, C. Then measure OD and OC. Repeat this activity at different scales and observe patterns. We can see that OD and OC are always the same. A triangle with two equal sides is called an isosceles triangle.

Given,

base (b) = 20 units and

height (h) = 120 units.

The formula to calculate the area is 1/2 × b × h square units.

By substituting the values, we get

⇒ Area = 1/2 × 20 × 120

            = 480 unit Squares

Therefore, the area of the given  isosceles triangle is 96 square units.

Learn more about Isosceles triangle:

https://brainly.com/question/2456591

#SPJ4

What is the value of y in this triangle?

Answers

Answer:64

Step-by-step explanation: You add 79 and 37 then subtract the sum of the two numbers from 180

Hi,

We just need to calculate.
We know that the sum of the angles in a triangle is 180

So we write an equation: 79+37+y= 180

Now we solve:

(79+37) +y = 180

116+y= 180
-116. -116


180-116=64

y=64

Hope this helps :)

The expression -350 +16.6m represents a summering that begins at a depth of 350 feet below sea level and ascended at a rate of 16.6 ft./min. what was the depth of the submarine after nine minutes 

Answers

Answer:

Step-by-step explanation:

After nine minutes, the depth of the submarine will be -334.4 ft. below sea level. This is calculated by taking the starting depth of -350 ft. and adding the amount of ascent in nine minutes (9 minutes x 16.6 ft./min. = 149.4 ft.). So the result would be -350 + 149.4 = -334.4 ft.

a student is randomly eelected from mr.willets class and that studenr is also in ap satts what is the probability that they are as senior?

Answers

the answer is 0.8676 which is 86% or 87% depending if you have to round up or not

What is absolute value form?

Answers

Absolute value is a mathematical term used to describe the distance between a number and zero on a number line. It is written in algebraic form as |x|.

The absolute value of a number is always positive, even if the number itself is negative. For example, the absolute value of -5 is 5, and the absolute value of 5 is also 5.

When graphed on a number line, the absolute value of a number is the distance between that number and zero. Positive numbers are found on the right side of the number line, and negative numbers are found on the left side. The absolute value of a number is the same regardless of which side of the number line it is located.

Absolute value can be used to compare the distance between two numbers on a number line. For example, the absolute value of 6 minus the absolute value of 3 is equal to the absolute value of 3 minus the absolute value of 6. This is because the distance between the two numbers is the same regardless of the order of subtraction.

Absolute value can also be used to solve equations.

Learn more about absolute value:

https://brainly.com/question/26954538

#SPJ4

what is happening when oneplus() is called? in other words, what exactly does the function receive as an argument? why isn't the value of the variable in main() altered?

Answers

Therefore ,as a result  it cannot be altered because oneplus() function doesn't allow it to altered.

Describe Function.

Quantities and their variants, equations , surrounding structures, formations and their positions, and locations where they may found are all included variable in the study of mathematics. The link between a collection of inputs, each of which has a corresponding output, is referred to as a "function." A function is a dynamic relationship between inputs and outputs in which each input produces a single, unique result. Each function has a designated area and only needs a tiny area, or scope.

Here,

Given :

oneplus() function

The function receives as an argument that twoplus() function is better than oneplus() .

The value of variable in main() isn't altered as it cannot be altered because oneplus() function doesn't allow it to altered.

To know more about function visit:

brainly.com/question/28193995

#SPJ4

What is the equation of the line that passes through the point
(-4,3) and has a slope of -3/4?

Answers

Answer:

y = -3/4x + 6

Step-by-step explanation:

In order to write an equation of the line in slope-intercept form, we first have to look at the equation:

y = mx + b

We have m, the slope, which is -3/4, and we have our y and x values, so in order to find b, we need to plug the other values in and solve for b

(-4,3)

y = 3

x = -4

m = -3/4

y = mx + b

(3) = [tex](\frac{-3}{4} )[/tex](-4) + b

3 = -3 + b

6 = b

So, equation of the line in slope-intercept form that passes through point (-4,3) and has a slope of -3/4, is y = -3/4x + 6

I hope this helps! :)

If point (x, y) is rotated 270 degrees about the origin, the resulting point is (y, -x). True OR
False

Answers

The statement that when a point (x, y) is rotated 270 degrees about the origin, the resulting point is (y, -x) is true. This can be calculated using the formula (x cos θ – y sin θ, x sin θ + y cos θ), where θ is the angle of rotation.

When point (x, y) is rotated 270 degrees about the origin, the coordinates of the resulting point can be calculated using the following formula: (x cos 270° – y sin 270°, x sin 270° + y cos 270°).

Plugging in the values, we get (y, -x). Therefore, the statement is true.

When rotating a point (x, y) around the origin, the coordinates of the resulting point can be calculated using the following formula: (x cos θ – y sin θ, x sin θ + y cos θ). Here, θ is the angle of rotation. In this case, when the point is rotated 270 degrees about the origin, the resulting point is (y, -x).

The statement that when a point (x, y) is rotated 270 degrees about the origin, the resulting point is (y, -x) is true. This can be calculated using the formula (x cos θ – y sin θ, x sin θ + y cos θ), where θ is the angle of rotation.

Learn more about angle here

https://brainly.com/question/28451077

#SPJ4

What is 12.70 - n + 9

Answers

Answer:

21.7 - n

Step-by-step explanation:

12.7 +9

ANSWER

21.7 - n

Eva has xx dimes and yy quarters. She has at most 18 coins worth a minimum of $3 combined. Solve this system of inequalities graphically and determine one possible solution.

Answers

The system of inequality for Eva saving is 0.10x + 0.25y  ≥ 3 and the graph of the inequality is illustrated below.

The term in equality in math is known as a relationship between two expressions or values that are not equal to each other

Here we have given that Eva has x dimes and y quarters and here we also know that she has at most 18 coins worth a minimum of $3 combined.

Then the inequality is written as,

=> x+y≤18

As we all know the that dimes are equal to 0.10 dollar and one quarter is equal to 0.25 dollar, then the inequality is rewritten as,

=> 0.10x+0.25y ≥ 3

When we plot the graph from the inequality then we get the graph like the following.

Through the graph we have identified that Eva could have 6 dimes and 10 quarters.

To know more about inequality here.

https://brainly.com/question/28823603

#SPJ4

You depoit $120 in an invetment account that earn 6. 4% annual interet compounded quarterly. Write a function that repreent the balance y (in dollar) of the invetment account after t year

Answers

A function that represents the balance y (in dollars) of the investment account after t year is y = $120 × (1 + 0.064/4)^(4t).

The balance of an investment account is the sum of all deposits and withdrawals to/from an investment account, considering the manager's compensation calculation.

After the trading interval ends and compensation is paid out, the account balance will equal the equity.

Let y be the investment account balance (in dollars) after t years. Then,

y = $120 × (1 + 0.064/4)^(4t)

Where the interest rate is 6.4% and is compounded quarterly.

So the interest rate per quarter is 0.064/4.

To know more about investment account, here

https://brainly.com/question/28700349

#SPJ4

At the same time, Min’s little brother throws a baseball from a height of 4 feet with an initial vertical velocity of 20 feet per second. What polynomial models the height of this ball, in feet?

Answers

The polynomial models the height of this ball will be D = (x² - 400) / 19.6 feet.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

At the same time, Min’s little brother throws a baseball from a height of 4 feet with an initial vertical velocity of 20 feet per second.

Let the final speed be 'x'. Then the equation is given as,

x² - (20)² = 2(9.8) · D

19.6D = x² - 400

D = (x² - 400) / 19.6

The polynomial models the height of this ball will be D = (x² - 400) / 19.6 feet.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Pavel uses a piece of cardboard to create a box. The polynomial function V(x) = x^4 − 42x^3 + 352x^2 + 2,688x gives the volume in cubic centimeters of the box in terms of its length, x. If Pavel wants the box to have a volume of 64,800 cm3, what must be the length rounded to the nearest tenth of a centimeter?

PLEASE ITS FOR A TEST

Answers

Answer:

To find the length of the box that will give a volume of 64,800 cm^3, we need to find the value of x that makes V(x) equal to 64,800. We can do this by setting V(x) equal to 64,800 and solving for x:

V(x) = x^4 − 42x^3 + 352x^2 + 2,688x = 64,800

x^4 − 42x^3 + 352x^2 + 2,688x - 64,800 = 0

This is a polynomial equation, and we can use techniques like factoring or synthetic division to solve for x. However, in this case, the polynomial is quite large and difficult to factor, so we can use a numerical method like the bisection method or the Newton-Raphson method to find an approximate value for x.

Using the bisection method, we can start by guessing a range of possible values for x, such as x = 50 to x = 100, and then repeatedly narrowing down the range until we find a value that makes V(x) = 64,800.

Using the Newton-Raphson method, we can start by guessing an initial value for x and then repeatedly updating the guess using the formula x(n+1) = x(n) - f(x(n))/f'(x(n)), where f(x) is the polynomial function and f'(x) is its derivative, until we find a value that makes V(x) = 64,800.

Both methods are likely to give an approximate value for x, which is around 94.3cm.

you are treating a 50-year-old man that was involved in a fire. he suffered 25% 2nd-3rd degree burns to the anterior chest, neck and face. he has singed nasal hairs, and you identify stridor on your primary survey. pulse oximetry is 88% on a 100% non-rebreather mask. a burn center is 45 miles away. the next most appropriate step prior to transfer is:

Answers

A 100% non-rebreather mask has a pulse oximetry reading of 88%. There is a burn centre 45 miles distant. the best course of action to do after transferring a serious burn side.


A 50-year-old man who was injured in a fire is being treated by you. He sustained 25% 2nd–3rd degree burns to his face, neck, and anterior chest. He has burned nasal hairs, and your initial survey reveals stridor.
Any damage that exceeds 10% in size should be treated in a similar manner, although significant burns are classified as those that encompass 25% or more of the total body surface area. Rapid evaluation is essential. Any blaze can be managed using the general strategy for a significant burn. The most crucial things are to take a thorough history.

Learn more about burn Visit: brainly.com/question/14033152

#SPJ4

a project is in the execution phase. based on the originally approved blueprint, 1,000 products were developed. the project team randomly chooses 100 products to evaluate against the quality plan. what is the project team undertaking?

Answers

The project team is conducting a quality check of randomly selected products against the quality plan.

What is probability ?

Probability is a branch of mathematics that deals with the likelihood of events occurring. It is a number between 0 and 1 that represents the chance of an event happening. An event with a probability of 0 cannot happen, while an event with a probability of 1 is certain to happen.

The project team is undertaking quality control activities. Specifically, they are conducting a quality check by evaluating 100 randomly selected products against the quality plan. This is done to ensure that the products meet the required standards and specifications outlined in the quality plan, and that they are fit for their intended use. Quality control is an ongoing process that is performed throughout the project to identify and correct any defects or issues in the products before they are delivered to the customer.

The project team is conducting a quality check of randomly selected products against the quality plan.

To learn more about probability visit : brainly.com/question/30034780

#SPJ4

What is the simplest expression equivalent to 5(d+1)

Answers

Answer:

5d + 5

Step-by-step explanation:

5(d+1)

5d + 5

how many ways can you select two cards, so that the first one is a red card and the second one is a face card?

Answers

There are 16 possible combinations of two cards, where the first one is a red card and the second one is a face card.

There are 16 ways to select two cards, where the first one is a red card and the second one is a face card. The combinations are: Red Ace, Red King, Red Queen, Red Jack, Red 10, Red 9, Red 8, Red 7, Red 6, Red 5, Red 4, Red 3, Red 2, Hearts King, Hearts Queen, Hearts Jack, and Hearts 10.

There are 16 possible combinations of two cards, where the first one is a red card and the second one is a face card. These combinations include all of the red cards in a standard deck, as well as the King, Queen, Jack, and 10 of Hearts.

Learn more about combination here

https://brainly.com/question/28720645

#SPJ4

which of the following outliers would most likely be the easiest to correct? a. a typographical error in data transfer b. a measurement error in instrument calibration c. a heavily skewed distribution d. a correctly measured anomalous result

Answers

a. a typographical error in data transfer outliers would most likely be the easiest to correct.

What is typographical error?

Typo, often known as a misprint, is short for a typographical error. Typos are mistakes created during the typing process that editors and proofreaders failed to catch.

When the writer means to enter the wrong term, the error is referred to be a typo. The majority of the time it is spelt wrongly. It's possible for a word to be incomplete, to have an extra letter, or to be missing a letter, which can occasionally result in the creation of a new term with a completely different meaning. A typographical error in material that has been written or printed.

Thus, correct option is: a

To know more about typographical error refer to:

https://brainly.com/question/5685882

#SPJ4

Josh is hiking Glacier National Park. He has now hiked a total of
17
km
17 km17, start text, space, k, m, end text and is
2
km
2 km2, start text, space, k, m, end text short of being
1
2
2
1

start fraction, 1, divided by, 2, end fraction of the way done with his hike.
Write an equation to determine the total length in kilometers
(

)
(h)left parenthesis, h, right parenthesis of Josh's hike.

Answers

In a case whereby Josh is hiking Glacier National Park and  has now hiked a total of 17 km, total distance that Josh will travel is 38 km.

How can we know the  total distance travel?

The concept that will be used here is the using of model for simplification of expression.  we can write the equation that models the problem since   Josh  was able to hiked 17 km, and this can be seen to have been done 2 km away from being 1/2 done.

An the model can appear as 17 + 2 = (1/2)h

where h =length of the hike.

then  we can solve for h,

17 + 2 = (1/2)h

19 =0.5h

h = 38 km

Learn more about distance at:

https://brainly.com/question/4931057

#SPJ1

The properly written question:

Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, space, k, m and is 2 \text{ km}2 km2, space, k, m short of being \dfrac12 ​2 ​ ​1 ​​ start fraction, 1, divided by, 2, end fraction of the way done with his hike.

Volume: 655
4. a square pyramid has a base that
measures 8 inches on each side. the height
of the pyramid is 11.5 inches. determine the
volume of the pyramid.
y

Answers


245.3 centimeters squared! hope this helps

For a set population, does a parameter ever change? A. always B. unknown C. sometimes D. never

Answers

Answer:

Step-by-step explanation:

D. never

A parameter is a fixed value that represents a characteristic of a set population, such as the population mean or population proportion. It is a fixed value that is true for the entire population, it is calculated using all the data of the population. For example, the mean of the height of all adults in a country is a parameter. Since it is based on all the data, it is not an estimation, it is the true value of the population. Therefore, a parameter does not change, it is a fixed value for a set population.

an ordinary deck of cards is randomly divided into four equal piles (each pile has 13 cards). what is the probability that one pile contains all the face cards?

Answers

The probability that one pile contains all the face cards is 0.047%.

A standard deck of cards has 52 cards, with 12 face cards (4 Kings, 4 Queens, and 4 Jacks). When the deck is randomly divided into four equal piles, each pile will have 13 cards.

To calculate the probability that one pile contains all the face cards, we need to consider the total number of ways that the 52 cards can be divided into four piles of 13 cards, and the number of ways that the 12 face cards can be in one of those piles.

The total number of ways to divide 52 cards into four piles of 13 cards is:

52! / (13! * 13! * 13! * 13!) = 22, 948, 036, 544

The number of ways to put 12 face cards in one pile and the other 40 cards in the remaining piles is:

(12! * 40!) / (12! * 13! * 13! * 13!) = 1, 077, 744

So the probability that one pile contains all the face cards is:

1,077,744 / 22,948,036,544 = 4.7*10^-5 or 0.00047 or 0.047%

To learn more about probability:

https://brainly.com/question/13604758

#SPJ4

two of the vertices of a regular octahedron are to be chosen at random. what is the probability that they will be the endpoints of an edge of the octahedron? express your answer as a common fraction.

Answers

In an octahedron, there is a 12/15 = 4/5 chance that two randomly selected vertices will serve as the endpoints of an edge                                                                   

The term "octahedron" comes from the Greek word  which means "8 faced." A polyhedron with 8 faces, 12 edges, and 6 vertices is called an octahedron. Four edges meet at each vertex. One of the five platonic solids with faces that reflect equilateral triangles 

Few properties of an octahedron

An octahedron has 6 vertices and at each vertex 4 edges meet.        An octahedron has 8 faces shaped like an equilateral triangle, in the case of a regular octahedron.An octahedron has 12 edges.In a regular octahedron, the angles between the edges are measured at 60°

There are  different ways to select 2 of the 6 vertices is:
C(6,2)=6.5/2.1=15

In an octahedron, there is a 12/15 = 4/5 chance that two randomly selected vertices will serve as the endpoints of an edge.

To  learn more about Octahedron
https://brainly.com/question/18369918
#SPJ4


Which animal can travel farther from sea level? A bald eagle? Or a whale? Bald eagles have been seen gliding at heights of up to 4,500 meters above the ocean. The Cuvier Beaked whale holds the record for deepest dive and the longest dive, which was -3000 meters below sea level Think of sea level as being 0.

So which animal can travel farther from the sea level?

A) Bald Eagle

B) Curvier Beaked Whale

Answers

Answer:

A) Bald Eagle

Step-by-step explanation:

4,500 meters above sea level

3,000 metres below sea level

4,500m is more farther therefore Bald Eagle

Answer:

A) Curvier Beaked Whale

Step-by-step explanation:

Curvier Beaked Whale travel over 10,440 m or Costa Rica to Antartica.It is the longest mammal migration on Earth.

Other Questions
Demand-pull inflation occurs whenthe price of goods rises suddenly and extremely fast.consumers begin purchasing more goods.producers need more money to make and distribute goods.the government prints more money and pushes prices up When psychologists discuss maturation, they are referring to stages of growth that areNOT influenced byA)conservation.B)nature.C)nurture.D)continuity. Solve g(x) =36 given the equation g(x) = x^2 -10 Which statements are true about mechanical barriers? (1) Mechanical barriers physically block pathogens from entering the body. (2) The skin is the most important mechanical barrier. (3) Mechanical barriers are living organisms that help protect the body. (4) Mechanical barriers destroy pathogens on the outer body surface. Helppppppppppppppppppppppppppppppp Write an exponential function in the form y=ab^x that goes through points (0,13) and (2,637) a hospice nurse plans care for a client who is experiencing pain. which complementary therapy does the nurse incorporate in the client's pain management plan? select all that apply. inclusive or exclusive or? a: you must take chemistry or physics to graduate b: you can have a complimentary coffee or tea question 3 options: a is exclusive, b is inclusive both are exclusive a is inclusive, b is exclusive both are inclusive before the industrial revolution how was resources found and used, how goods and services are produced, job people work. how money is earned and spent The term structured, when discussing structured methodologies, refers to the fact that: a company works on three jobs and incurs the following: direct materials - $50,000 and direct labor - $100,000. the company uses a predetermined overhead rate of 60% of direct labor costs. how much overhead will be allocated to the three jobs? multiple choice question. $15,000 a triangle has dimensions 5, 8, and 10. a similar triangle is drawn with a scale factor of 0.5. what are the dimensions of the new triangle?a. 10, 16, 20b. 5.5, 8.5, 10.5c. 2.5, 4, 5d. 5, 8, 10 Find the equation of the linear function represented by the table below in slope-intercept form.x y1 02 23 44 6 What does x mean in math? 32 2 8. David and John Share $455 in Ratio OF respectively. 28 B How much money does John get . ? Which of the following is the best recommendation about drafting? An investor in the 28% tax bracket buys a 6% municipal bond quoted on an 8.00 basis. To calculate the equivalent taxable yield:A. multiply 6% by 72%B. divide 6% by 72%C. multiply 8% by 72%D. divide 8% by 72% 1. what hinders us from being compassionate to others? why do we choose not to help even we are given so many opportunities to do it? 2, according to social neuroscience, what happens to our brain when we attend to the needs of others? 3, what is the first step that we should take in order to be more compassionate to others? assume the average test score from the last year's class was 85 points with a standard deviation of 9. about what proportion of students earned a 70 points or higher? what kind of cultural changes and technological advances have impacted the way people grow and consume food?