Which of the following values cannot be probabilities? 0,154,004 - 0:43.5/3.0/8.1.2 ments Select on the values that cannot be OA-045 DO OC 12 DO OK 7.3 nch 54.38 3 399 5 er Coments DO 0.04 H 154 17.75 or Success media Library 9.13

Suppose that F(x) = \(A0 + A1*x + A2*x^2 + A3*x^3 + A4*x^4 + ....\) If F(x) = 1/(1-x), A1000 = 1000!

The function F(x) can be expressed as a geometric series with a first term of 1 and a common ratio of x. Thus, we can write:

F(x) = \(1 + x + x^2 + x^3 + x^4 + ...\)
To find the coefficients A0, A1, A2, A3, A4, and so on, we can differentiate both sides of the equation with respect to x. This gives:
F'(x) = \(1 + 2x + 3x^2 + 4x^3 + 5x^4 + ...\)
Multiplying both sides by x, we get:
xF'(x) = \(x + 2x^2 + 3x^3 + 4x^4 + 5x^5 + ...\)
Now, we can differentiate both sides of this equation with respect to x again:
xF''(x) + F'(x) = \(1 + 4x + 9x^2 + 16x^3 + 25x^4 + ...\)
Multiplying both sides by x again, we get:
x(xF''(x) + F'(x)) = \(x + 4x^2 + 9x^3 + 16x^4 + 25x^5 + ...\)
Continuing this process, we get:
x^nFn(x) = \(n!x^n + n(n-1)!x^{(n+1)} + n(n-1)(n-2)!x^{(n+2)} + ...\)
Now, we can substitute x = 0 into this equation to find the coefficients. When we do this, all the terms except for the first one on the right-hand side disappear. Thus:
A0 = 1
A1 = 1
A2 = 2
A3 = 6
A4 = 24
We can see that the coefficients are the factorials of the index, so:
An = n!
Therefore, A1000 = 1000!

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It is a straight line in a graphical format.

Answer:

For example a common equation, y=mx+b y = m x + b,is a linear function because it meets both criteria with x and y as variables and m and b as constants.

Step-by-step explanation:

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

c

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

To find the missing leg, we need to use a^2 + b^2 = c^2.

Let's call the missing leg a, and then substitute the numbers the other numbers

a^2 + 12^2 = 13^2

Simplify

a^2 + 144 = 169

To solve, subtract 144 from both sides (169-144)

a^2 = 25

This means that a squared is 25; to find a, we need to find the square root of 25.

a = 5

Your answer is 5.

Answer:

5m

Step-by-step explanation:

set it up

\(12^{2}\)+\(a^{2}\)=\(13^{2}\)

do what you know

equation becomes: 144+\(a^{2}\)=169

subtract both sides by 144

equation becomes \(a{2}\)=25

square root both sides

equation becomes: a=5

Answer:

4 i hope that helps

Answer:

D

Step-by-step explanation:

You first add 4 to all of the numbers giving you 7, 24, 41, and 49. Only choice D is a perfect square. for reference, 7*7=49

Answer:

45

Step-by-step explanation:

basically what we are trying to find is x + 4= square

for you to understand this better, take eg 5.

5  +   4 =       9

         |            \

four less than the square number( 9 is the square of 3)

we took the square of 3 and subtracted 4 from it making the result 4 less

12 + 4 = 16

         |            \

four less than the square number( 16 is the square of 4)

we took the square of 4 and subtracted 4 from it making the result 4 less

understanding that,

a)3

3 + 4 = 7

there is no square root of 7   X

b)20

20 + 4 = 24

there is no square root of 24   X

c)37

37 + 4 = 41

there is no square root of 41   X

d) 45

45 + 4 = 49

the square root of 49 = 7

answer=49

Answer:

Work shown below!

Step-by-step explanation:

\(x^{4}-5x^{2} +4\) = \(0\)

\(A\) = \(x^{2}\)

\(A^{2} -5A+4\) = \(0\)

\((A-1)(A-4)\) = \(0\)

\((x^{2}-1)(x^{2} -4) =0\\(x-1)(x+1)(x-2)(x+2)=0\)

x - 1 = 0

Add 1 to both sides;

x = 1

x + 1 = 0

Subtract 1 from both sides;

x = -1

x - 2 = 0

Add 2 to both sides;

x = 2

x + 2 = 0

Subtract 2 from both sides;

x = -2

Answer:

94

Step-by-step explanation:

The range of a dataset is the difference between the maximum and minimum value :

The staring point of the whisker is the minimum = 4

The end point of he whisker is the maximum = 96

The range of the box and whisker plot is Hence,

Minimum = 4

Maximum = 98

Range = 98 - 4

Range = 94

Answer:

I think H because it is the only one going vertical

Step-by-step explanation:

The probability of at least one part being defective is 21 or more when 14 parts are produced. So, the correct answer is D: 14.

Let X be the number of defective parts among n parts produced. Since each part can either be defective or non-defective, X follows a binomial distribution with parameters n and p, where p = 0.05.

We want to find the smallest value of n such that P(X ≥ 1) ≥ 0.21. We can use the complement rule to rewrite this as P(X < 1) ≤ 0.79.

P(X < 1) = P(X = 0) = (1 - p)^n

= (0.95)^n

We need to find n such that (0.95)^n ≤ 0.79. Taking logarithms of both sides, we get:

n log(0.95) ≤ log(0.79)

n ≥ log(0.79) / log(0.95)

n ≥ 13.65

Since we need n to be an integer, we round up to the nearest integer and get n = 14.

Therefore, the answer is option D: 14.

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The opportunity cost of spending $90,000 on advertising but only producing 12,000 units can be calculated by comparing the benefits of the advertising investment to the potential alternative uses of that money.

First, let's calculate the total cost of producing 12,000 units. Fixed costs amount to $48,000, and variable costs are $8 per unit, resulting in a total cost of $48,000 + ($8 × 12,000) = $144,000.

Next, we need to calculate the potential sales revenue without advertising. With a price of $16 per unit, the potential sales revenue would be $16 × 12,000 = $192,000.

Now, let's calculate the potential sales revenue after advertising. The advertising multiplier is given as (30,000 + advertising) / 30,000. In this case, the multiplier would be (30,000 + 90,000) / 30,000 = 4.

Therefore, the potential sales revenue after advertising would be $192,000 × 4 = $768,000.

The opportunity cost is the difference between the potential sales revenue after advertising ($768,000) and the potential sales revenue without advertising ($192,000), which is $768,000 - $192,000 = $576,000.

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Answer:

Step-by-step explanation:

y = ax² + bx + c

a( - 7)² + b( - 7) + c = 134 ⇔ 49a - 7b + c = 134 ......... (1)

a( - 3)² + b( - 3) + c = 10 ⇔ 9a - 3b + c = 10 ......... (2)

a(5)² + b(5) + c = 50 ⇔ 25a + 5b + c = 50 ......... (3)

(1) - (2)

40a - 4b = 124 ⇔ 10a - b = 31 ........... (4)

(3) - (2)

16a + 8b = 40 ⇔ 2a + b = 5 ........... (5)

(4) + (5)

12a = 36 ⇒ a = 3

2(3) + b = 5 ⇒ b = - 1

9(3) - 3( - 1) + c = 10 ⇒ c = - 20

y = 3x² - x - 20

y = [ 3 ] x² + [ - 1 ] x + [ - 20 ]

The Poisson distribution becomes a good approximation to the Binomial distribution when the number of trials is large, the probability of success is small, and the expected number of successes is λ = np.

(a) The probability mass functions (PMF) of Bino(np) and Pos(np) with the parameters n = 100, p = 0.2,0.8 for the interval k [0, 100) can be plotted using the MATLAB functions binopdf and poisspdf.

(b) To show that Poisson distribution approximates Binomial distribution when n is large, p is small, and λ = np, we can use the Poisson approximation to Binomial distribution. Using the fact that n-k/k → 1 as n →[infinity], we can simplify the Binomial distribution to:

Bino(n,p) ≈ (np)^k e^(-np)/(k!)

By letting λ = np and replacing in the above expression, we get:

Bino(n,p) ≈ (λ/k)^k e^(-λ)/k!

This expression is the PMF of a Poisson distribution with parameter λ, which proves that Poisson distribution approximates Binomial distribution under the given conditions.

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4600 is the loan's future value, a, or the total amount due at time t.

What Is Simple Interest?

P=$4000

r=5%

t=3 years

Now we have to find th loans future value A.

So

Simple interest me I=prt=(4000)(.05)(3)=600

Total due is Principal + Interest =4000+600= 4600

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Answer:

ANSWER ---> **15**

Step-by-step explanation:

If there are 120 calories in a single cup and 8 ounces in a cup, you would divide 120 by 8 to get your answer 15 for the single fluid ounce

The type of graph that represents a system of linear equations that has multiple common coordinate pairs as a solution is called a line of best fit.

A line of best fit is a line drawn through data points that are scattered on a graph in order to illustrate a relationship between the data.

This line helps identify patterns in the data, and when plotted, multiple points can exist on the same line, which in this case represents the multiple common coordinate pairs.

To create a line of best fit, you will need to calculate the slope and the intercept for the equation that models the data. Then, you can plot the points onto the graph and draw a line through them.

The resulting line will be the line of best fit, which represents the multiple common coordinate pairs that are solutions for the system of linear equations.

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Answer:

the answer is the 4/-2

Step-by-step explanation:

you can understand from the answer

Answer:

44 because if he goes more longer it will not fit

Answer:

The answer to this is false.

Step-by-step explanation:

Xy is Xy and Yx is Yx.

So there you go.

Answer:

True

Step-by-step explanation:

Line XY will be the same as Line YX because they are both on the same line on a 1-dimensional figure

Answer:

-3 = -v + 7

-3 - 7 = -v

3+7 = -v

-10 = -v

10 = v

Step-by-step explanation:

this is the answer i got, using basic algebra...

i hope this helps....

have a great day ahead :)

Answer:

v = 10

Step-by-step explanation:

\(-3=-v+7\\\\-v+7=-3\\\\-v+7-7=-3-7\\\\-v=-10\\\\\frac{-v=-10}{-1}\\\\ \boxed{v=10}\)

Hope this helps.

Answer:

The books in the library are 1040

Answer:

The volume of the cylinder is smaller than the rectangular prism.

Step-by-step explanation:

The coordinates of the point that corresponds to -π/3 on the unit circle are (x, y) = (1/2, √3/2)

A unit circle is a circle in which the value of the radius is equal to 1 unit.

The coordinates of a point with angle Ф on a unit circle are given by

To find the coordinates of the point that corresponds to -π/3 on the unit circle, since we have the coordinates of a point on a unit circle as

substituting Ф = -π/3 into both equations, we have that the x - coordinate is

Also, we have that the y - coordinate is

So, the coordinates of the point are (x, y) = (1/2, √3/2)

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Answer: root 70

Step-by-step explanation:

starting info:

KL = 2NM

KM = 20

NO = 7

Using the fact the ratio of similar sides must be equal:

KL/NO = KM/NM

Therefore sub in values…

KL/7 = 20/NM

As KL = 2NM

2NM/7 = 20/NM

Rearrange:

2(NM)^2 = 140

(NM)^2 = 70

NM = root(70)

(Obviously take positive as can’t have negative length)

Answer:

5000

ghsjdjdjdjdjdjdjdkdkdkdkdkdkdkdk

This Graph represents all the real numbers which are less than or equal to 8.(Please see the attached image.)

Graphing Inequalities -

While graphing inequalities, we have to keep the following things in mind.

If the endpoint is included(i.e., incase of ≤ or ≥ ) use a closed circle.

If the endpoint is not included (i.e., in case of < or >), use an open circle.

Use open circle at either ∞ or -∞ .  

Draw a line from the endpoint that extends to the right side if the variable     is greater than the number.

Draw a line from the endpoint that extends  to the left side if the variable is lesser than the number.

Writing Inequality in Interval Notation-

If the endpoint is included (i.e., in case of ≤ or ≥) use the closed brackets '[' or ']'.

If the endpoint is not included(i.e., in case of < or > ), use the open brackets '(' or ')'

Use always open bracket at either ∞ or - ∞

inequality form = q ≤ 8

interval notation = ( -∞, 8]

It means q = (-∞......................... -4,-3,-2,-1,0,1,2,3,4,5,6,7,8] (Please see the attached image).

Hence, This graph represents all the real numbers which are less than or equal to 8.

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The 98% confidence interval estimate of the mean age of all race car drivers, based on the provided data, is (27.67, 39.33) years.

To calculate the 98% confidence interval estimate of the mean age of all race car drivers, we can use the formula:

CI = x ± (t * (s/√n))

where x is the sample mean, s is the sample standard deviation, n is the sample size, and t is the t-score corresponding to the desired confidence level. Using the given data, we find that the sample mean (x) is 32.53 and the sample standard deviation (s) is 7.93.

The sample size (n) is 15. With a desired confidence level of 98%, we find the t-score for a two-tailed test to be approximately 2.947. Plugging these values into the formula, we calculate the confidence interval to be (27.67, 39.33) years. This means that we can be 98% confident that the true mean age of all race car drivers falls within this interval.

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Answer:it will be 20 inches long at the end of 5 weeks

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

i got it wrong and it showed me the real answer