A meteor crashed onto a planet and caused crater that was 16,495.92 in deep.
Use the table of facts to find the depth of the crater In yards.
Conversion facts for length
Round your answer to the nearest tenth.
12 Inches (in) = 1 foot (ft)
3 feet (ft) = 1 yard (yd)
36 Inches (in) =
yard (yd)
5280 feet (ft) = 1 mile (mi)
1760 yards (yd) = 1 mile (mi)
yd
x5

Answer: 12

Step-by-step explanation: First turn 75% into its decimal form 0.75

Then multiply this by 48.

0.75 x 48 = 36

36 is 75% of 48

Then subtract 36 from 48. This will get you 12.

The value of P in the equation is -1

Answer:

p=-1

Step-by-step explanation:

3(1+p)=-5(p+1)

Remove the parenthesis:

3+3p=-5p-5

Subtract 3 from both sides.

3p=-5p-5-3

Simplify:

3p=-5p-8

Rearrange:

3p=-8-5p

Add 5p to both sides:

8p=-8

Divide both sides by 8:

p=-1

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The taylor series of  sin x at  x= π  is ∑( for n=0,∞) [tex]\frac{-1^{n+1}(x-\pi )^{2n+1} }{(2n+1)! }[/tex]

the Taylor series n of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point.

since the function we are given is :

sin(x), since we need to find the Taylor series of sin(x) at x=π, which can also be written as : sin(x+π)

we can find find the Taylor series of sin(x+π) at x=0

sin(x+π)=−sin(x)

    = ∑( for n=0,∞) [tex]\frac{(-1)^{n}x^(2n+1) }{(2n+1)!}[/tex]

      =    ∑( for n=0,∞)    [tex]\frac{-1^{n+1}x^{2n+1} }{(2n+1)!}[/tex]

so sin (x)=  ∑( for n=0,∞) [tex]\frac{-1^{n+1}(x-\pi )^{2n+1} }{(2n+1)! }[/tex]

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find the Taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that rn(x) → 0.] f(x) = sin(x), a = π????

a) Four-digit strings with 10⁴ characters are available.

b) A string that finishes in an odd number has 10 options for the first three digits and 5 options for the last digit.

c) The fourth digit has nine alternatives.

Given,

We have to find the number of strings of four decimal digits for the following conditions;

a) Do not use the same numeral more than once.

There are 10⁴ strings with four decimal digits.

We have 10 options for the first digit, 9 options for the second digit, 8 options for the third digit, and 7 options for the fourth digit when creating a string with 4 different digits. We deduce from the product rule that there are 10 9 8 7 = 5040 four decimal digits with no duplicate digits.

b) End with an odd digit

There are 10 choices (ranging from 0 to 1, 2,..., 9) for the first three digits of a string that ends in an odd number, and 5 possibilities (ranging from 1, 3, 5, 7,.., 9) for the last digit. According to the product rule, there are 5000 strings that terminate in an even number, or 10 × 10 × 10 × 5.

c) Have exactly three digits that are 8

There is one non-8 digit in the 4-decimal string, which includes exactly 3 digits that are 8. Therefore, there are 9 options for the fourth digit (ranging from 0 through 1, 2, 3, 4, 5, 6, and 9). The non-digit may appear in the string at positions 1, 2, 3, or 4. The sum rule leads us to the conclusion that there are 36 four decimal digits with exactly three 8s, which equals 9 + 9 + 9 + 9 = 36.

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Question is incomplete. Completed question is given below;

How many strings of four decimal digits

a) Do not contain the same digit twice

b) End with an odd digit?

c) Have exactly three digits that are 8

the value of P(X=4,Y=2) is 0.0518.

Given that, X denote the number of Canon SLR cameras sold during a particular week by a certain store.

The probability mass function (pmf) of X is,

X 0 1 2 3 4

PX(x) 0.1 0.2 0.3 0.25 0.15

Let Y denote the number of purchasers during this week who buy an extended warranty.

The value of P(X=4,Y=2) is the probability that 4 cameras are sold and 2 extended warranties are sold in a week.

P(X=4,Y=2)=p(4,2)=P(Y=2|X=4)×P(X=4)

The number of purchasers purchasing the extended warranty can be 0, 1, ……, x.

Here x is cameras are sold.

Assuming that each customer buys at most 1 camera.

Considering that the event “a purchaser buys extended warranty” as “success” and the event “a purchaser does not buy extended warranty” as “failure”.

In that case, all the customers purchasing cameras buy extended is 60%.

The probability of failure is 0.4.

This follows the binomial distribution, where total number of trials is the number of purchasers of camera and x is the probability of success is 0.6.

The probability that 2 out of 4 cameras purchasers buys extended warranty with probability of success 0.6 is,

P(Y=2|X=4)=4C2(0.6)2(0.4)4−2=6×0.36×0.16=0.3456

Given that,

P(X=4)=0.15

Therefore,

P(X=4,Y=2)=P(Y=2|X=4)×P(X=4)=0.3456×0.15=0.0518

Therefore, the value of

P(X=4,Y=2) is 0.0518.

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The linear function in slope intercept form is  y = -2x - 5.

Linear function can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the slope in the linear function.

Using (-1, -3) and (3, - 11)

m = -11 + 3 / 3 + 1

m = -8 / 4

m = -2

Therefore, let's find the y-intercept as follows:

using (-1, -3)

y = -2x + b

-3 = -2(-1) + b

-3  = 2 + b

b = -3 - 2

b = -5

Therefore, the equation in slope intercept form is y = -2x - 5

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The perimeter and the area of the triangle are given as follows:

The perimeter of the triangle is given by the sum of the lengths of the outer edges of the triangle.

From the image given at the end of the answer, these lengths are of:

Hence the perimeter of the triangle is of:

P = 4 + 8 + 8.83 = 21 cm.

(rounded to the nearest cm, as each unit represents 1 cm).

The triangle in this problem is a right triangle, hence the area is obtained by half the multiplication of the sides, as follows:

A = 0.5 x 4 x 8 = 16 cm².

The problem is incomplete, hence a similar problem was given and solved, by the triangle in the image at the end of the answer.

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The Python program to print the value of the input string is as follows:N= int(input("Enter a integer variable N (0 <= N <= 100): ")), W = input("Enter the word W (length of 1 <= L <= 50): "), for n in range(N):, print(W)

In a mathematical problem or experiment, a variable is a quantity that can change. To represent a variable, we typically use a single letter. Generic symbols used frequently for variables include the letters x, y, and z.

Program -

N= int(input("Enter a value of integer N (0 <= N <= 100): "))

W = input("Enter the word W (length of 1 <= L <= 50): ")

for n in range(N):

print(W)

Here,

defining the integer variable "N" that accepts a user-supplied integer value.

The user-end string value is input using another variable "W" that is declared in the next step.

A for loop using the range method and an integer variable is declared after all input values have been entered. This loop prints the string value.

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Answer:

x = -96/7 or -13.714285

Step-by-step explanation:

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Answer: the second one

Step-by-step explanation: trust me bro

Answer: 5/2 or 2.5

Step-by-step explanation: Rise/Run = 5/2

Answer:

AB = YZ

AC = XY

BC =XZ

Statement : The given two triangles are congurent by all axiom.

The angle of elevation of the femur is 71°.

The angle of elevation:

The angle is formed by the line of sight and the horizontal plane for an object above the horizontal.

Here we have to find the angle of elevation of the femur.

Data given:

length of femur = 18 inches

elevated = 6.2 inches

Formula to calculate the angle of elevation:

Tangent of the angle of elevation = height of the object/distance from the object

tan Ф = 18/ 6.2

tan Ф = 2.903

Ф = [tex]tan^{-1}[/tex]( 2.903)

   = 71°

Therefore the angle of elevation is 71°.

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It is better to describe the centers of distribution in terms of the

D. Median for both bakeries because the data is not symmetric.

The three main methods for identifying the average value of a set of integers are mean, median, and mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.

The middle value in a list that is arranged from smallest to greatest is called the median.

The value that appears the most frequently on the list is the mode.

We know symmetric data sets have a graph that is bell-shaped.

Here the data for both bakeries are not symmetric we can conclude that from the given table itself so it is better to describe the centers of distribution in terms of the median for both bakeries because the data is not symmetric.

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Among the 3000 students, at least 5 students will turn in the exact same answers for the quiz questions.

What does at least mean in probability?

"At least" means as follows: equivalent to or less than. The bare minimum that should happen once a random event occurs is called the least mean in probability.

It will be the complement of the event never occurring to determine the likelihood of an event occurring at least once. In other words, there is a 100% chance that the event will occur regardless of its likelihood of never happening or happening at least once.

Solution Explained:

The quiz has 54=625 different possible outcomes. Given that 625 divided by four equals 2600 and 625 multiplied by five equals 3125, we deduce that 5 students will submit the same set of answers. This is due to the fact that there would be a maximum of 2600 students if only 4 students submitted each answer sheet.

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The probability of obtaining between 9 and 14 heads is .0.0408

Probability:

in statistics, probability refers the possibility of the outcome of any random event.

Given,

A coin is weighted so that the probability of obtaining a head in a single toss is 0.25.

Here we need to find the probability of obtaining between 9 and 14 heads if the coin is tossed 45 times.

While we looking into the given question,

Probability of obtaining a head in a single toss = 0.25

Number of toss = 45

Here we need to find the probability of getting head between 9 and 14, is calculated as,

=> mean = 45 x 0.25 = 11.25

=> standard deviation = √11.25 x(1 - 0.25) = 2.9

Here the probability is written as,

=> P(9 < x < 14) = P(8.5 < x < 14.5)

Then the z score, is

=> z = (8.5 - 11.25)/2.9 = -0.9483

=> z = (14.5 - 11.25)/2.9 = 1.1207

So, the given probability is rewritten as,

=> P(9 < x < 14) = P(z < 1.1207) - P(z < 0.9483)

When we apply the value of z score on it then we get,

= > P(z < -0.9483) = 0.17149

=> P(z > 1.1207) = 0.13121

=> P(9 < x < 14) = 0.13121 - 0.17149

=> 0.0403

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The first step is to calculate the approximate weight of the tank. This can be done by calculating the weight of the stainless steel plates and multiplying it by the surface area of the tank.

The surface area can be calculated by multiplying the length of the sides by the height. The weight of the stainless steel plates can be found online or by consulting a materials engineer.Once the approximate weight of the tank has been calculated, the base and height dimensions can be determined by trial and error. Start with a base length and a height and calculate the approximate weight of the tank. Then, adjust the base length and/or height and recalculate the weight. Continue this process until the lightest weight is achieved.It is important to consider the structural integrity of the tank when selecting the dimensions. A tank with too little height or too wide a base may not be able to withstand the pressure of the contents within. Consulting a structural engineer may be necessary to ensure that the tank is strong enough to withstand the pressure of the contents.

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The correct answer is 'Do not reject the null hypothesis as there is not sufficient evidence that the true diameter differs from 0.5 in.'

When the sample size is large and the standard deviation is known, the z-test is typically used.

The T-test is more flexible than the Z-test since the Z-test frequently needs particular circumstances in order to be reliable.

The t test is applied if the population standard deviation is unknown.

Test statistic for one sample t-test is, t = (X‾ - μ0) / (s / √n)
The formula of degrees of freedom for test is, df = n-1 here, n is sample size.

Decision rule:

1. If the P-value is less than the level of significance, the null hypothesis should be rejected; otherwise, it should not be.

2.The null hypothesis is rejected if the t-test statistic value is greater than the t tabulated value; otherwise, the null hypothesis is not rejected.

(a) From the given information, n=15, t=1.66, α =0.05 we can derive

degrees of freedom = df= n-1 which is 15-1 = 14

Thus, the critical value is, 2.145.

Now, since the test statistic value is less than the critical value, do not reject the null hypothesis.

Here, the test statistic value do not lie in the critical region. The null hypothesis cannot be rejected. There is insufficient evidence that the true diameter differs from 0.5 in.

(b) From the given information, n=15, t = -1.66, α =0.05 we can derive

degrees of freedom = df= n-1 which is 15-1 = 14

Thus, the critical value is, -2.145.
Now, since the test statistic value does not lie in the rejection region, do not reject the null hypothesis.
Here, the test statistic value does not lie in the critical region. The null hypothesis cannot be rejected. There is insufficient evidence that the true diameter differs from 0.5 in.

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For samples of size n = 60, the mean of the sampling distribution is 0.6

and the standard deviation of the sampling distribution is 0.0632

Here, N = 520 and X = 312

So, the population proportion is calculated as;

p = X / N

p = 312/520

p ≈ 0.600

So, the mean of the sampling distribution would be,

μ = 0.600

And for samples of size n = 60, the standard deviation of the sampling distribution would be,

σ = √[p(1 - p)] / n

σ = √[0.6(1 - 0.4)] / 60

σ = √[(0.6 * 0.4) / 60]

σ = √(0.004)

σ = 0.0632

Therefore, the mean of the sampling distribution = 0.6

and the standard deviation of the sampling distribution = 0.0632

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Given question is incomplete.

A complete question is:

a dental student is conducting a study on the number of people who visit their dentist regularly. of the 520 people surveyed, 312 indicated that they had visited their dentist within the past year. find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n = 60

Answer:

$160 for 10 books is the BEST buy.

Step-by-step explanation:

To find which one is the best buy, we need to find the unit rate for the books (which is how much each book is worth). We do this by simply dividing the two numbers in each buy:

160 ÷ 10 = 16

114 ÷ 6 = 19

Since the first one is a smaller price, the first one is our answer.

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It would be $160 for 10 books

Answer: P=14x-8

Step-by-step explanation:

I will solve this by factoring the numbers

(3x+1)(4x-5)=0

so L and w would be 3x+1,4x-5 order does not matter

Plug in to the perimeter formula and solve

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

[tex](0.5- 0.3)^2[/tex]

⇒ Subtract inside the parentheses:

[tex]= (0.2)^2[/tex]

⇒ Evaluate the exponent by multiplying 0.2 by 0.2:

[tex]= 0.04[/tex]

0.04

Answer:

0.04

Step-by-step explanation:

The value of x, if In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)° is 25, so correct option is D.

One of the fundamental shapes in geometry is represented by the symbol Δ and consists of three connected vertices.

Given:

In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)°

Calculate the value of x as shown below,

The sum of triangles will be equal to 180°,

mZD + mZE  +  mZF = 180

4x + 2x - 3 + x + 8 = 180

7x = 180 - 5

x = 175 / 7

x = 25

Therefore, the value of x, if In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)° is 25.

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She has to play 4.5 hours to discharge the whole phone.

What is division?

A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.

Jade spent 1/2 of an hour playing on her phone which uses 1/9th of her battery.

For 1/9th battery, it took 1/2 hour.

So for the whole charge to discharge it will take, (1/2)/ (1/9) = 9/2 =4.5.

Hence, She has to play 4.5 hours to discharge the whole phone.

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When an object is to be generated, classes are utilized as templates, whereas methods are functions that are called or invoked.

A class is a template specification of the method(s) and variable(s) of a certain sort of object in object-oriented programming. As a result, an object is a particular instance of a class; instead of variables, it holds real values. One of the fundamental concepts of object-oriented programming is the class.

A class outlines the information included in the objects that are a part of it, including the actions and a collection of data fields known as instance variables (called methods). An object is an element (or instance) of a class, and objects exhibit the behaviors of the classes in which they belong.

We use the self keyword to declare the attribute purchase price (type int), initializing the value to 0.

Therefore, the purchase price attribute declaration is as follows:

self.purchase price equals zero

We just need to invoke the model year and purchase price variables to define the print info() function.

The print info() function is therefore defined as follows:

   def print_info(self):

   print("Car's information:")

   print(" Model year:", self.model_year)

   print("Purchase price:", self.purchase_price)

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Answer: t=12

Step-by-step explanation:

To isolate the t, divide both sides by 15. The 15 on the left cancels out, and 180 divided by 15 is 12.

a)

There are 3268760 different ways for the company to place the lunch order for the 10 lunches

b)

There are 11861676288000 ways for the company to place the lunch order if the 10 lunches purchased are all different

What is permutation and combination?

The process of placing all the components of a set into a certain sequence or order is known as permutation in mathematics. In other terms, the process of permuting is the reordering of the components of a set if the set is already ordered. Nearly all areas of mathematics include permutations in some form or another. They frequently appear when various orderings on certain finite sets are taken into account.

Contrary to permutations, the order of selection is irrelevant when choosing elements from a collection using the combination method. The number of combinations may be counted in simpler situatiThe combinationation is the taking together of n items, k at a time, without repetition. The terms k-selection or k-combination with repetition are frequently used to describe combinations where repetition is permitted.

a) total different ways are [tex]C^{25} _{10}[/tex]

= 25!/(25-10)!10!

= 25!/15! * 10!

= 3268760

b) total different ways are [tex]P^{25} _{10}[/tex]

= 25!/(25-10)!

= 25!/15!

= 11861676288000

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Answer: r=2

Step-by-step explanation:

do .5/.25=2

Answer:

240°   ( Quadrant III)

Step-by-step explanation:

Arctan ( -sqrt(12) /-2) = 240 degrees

Answer:

I believe it is 3rd one but not 100% sure

Step-by-step explanation:

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