What is -14.96 - 2.9.

The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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√(12) is a finite value less than 1, the limit is less than 1. Therefore, by the root test, the series ∑ (-3n/n+1) 4n converges.

In conclusion, the series is convergent.

To determine whether the series ∑ (-3n/n+1) 4n from n=1 to infinity converges or diverges, we can use the root test.

The root test states that for a series ∑ aₙ, if the limit of the absolute value of the nth root of the terms, lim(n→∞) √(|aₙ|), is less than 1, the series converges. If it is greater than 1, the series diverges. If it is exactly equal to 1, the test is inconclusive.

Let's apply the root test to the given series:

lim(n→∞) √(|(-3n/n+1) 4n|)

First, let's simplify the expression inside the root:

|(-3n/n+1) 4n| = |-3n/(n+1)| * |4n|

Since the absolute value of -3n/(n+1) is the same as 3n/(n+1), we can rewrite the expression as:

= (3n/(n+1)) * (4n)

Taking the nth root:

lim(n→∞) √((3n/(n+1)) * (4n))

Now, simplify further:

= lim(n→∞) (√(3n/(n+1))) * (√(4n))

= lim(n→∞) (√(3n) / √(n+1)) * (√(4n))

= lim(n→∞) √(12n² / (n+1))

= √(12)

Since √(12) is a finite value less than 1, the limit is less than 1. Therefore, by the root test, the series ∑ (-3n/n+1) 4n converges.

In conclusion, the series is convergent.

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Answer:

y= -7x-8

Step-by-step explanation:

The slope intercept form is y = mx + b.  

First, find the slope.  Use rise/run which gives you -7.  <= negative bc its a negative slope.  

Next, find the y intercept for b.  It is -8.  

Now, combine the numbers.  y = -7x-8.

The missing term of the sequence is - 4.9.

Here the sequence is -4.6, __, -5.2....

An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Here the sequence is in an arithmetic sequence, as there is a common difference between them.

The nth term of the sequence has a formula

\(a_{n}\) = a + (n - 1) d

Here we know the 3rd term of the sequence so that we can find the common difference between them

\(a_{3}\) = -4.6 +(3-1)d

-5.2 = -4.6 + 2d

0.6 = 2d

d = 0.3

So here the common difference is 0.3.

Now we have to find the 2nd term of the sequence,

\(a_{2}\) = -4.6 + ( 2-1) 0.3

   = -4.6 + 0.3

   = - 4.9

Therefore the second term of the sequence is -4.9.

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Answer:

the answer is 30.5%

Step-by-step explanation:

trust me and littlesaga

Answer: 81

Step-by-step explanation:

We know that to find the area of a square you have to square the side length.

So since we know that he area is 36 cm square, then we will find the square root of 36.

36/4= 9      Now we know that the side length is  9 and a square has four sides which are all equal. The perimeter is the distance around the shape.

So just multiply 9 by 9 to find the area

9*9 = 81

Answer:

9 units

Step-by-step explanation:

We know that the area of a square formula is:

\(A=x^{2}\)

We can substitute:

81=x²

take square root of both sides

√81=√x²

9=x

This means that each side is 9 units.

Hope this helps! :)

Answer:

Line

Step-by-step explanation:

It has 2 arrows pointing opposite directions with 2 given points

It is False if the mean of a data set is large, the standard deviation has to be large also as standard deviation doesn't depend on mean.

The statistical measure of standard deviation measures the degree of variance or dispersion among a group of data values. It displays the average difference between the values in a dataset and their mean.

False. A data set's mean and standard deviation are two different measures of the data, and neither one automatically indicates anything about the other. By adding together all the values and dividing by the total number of values, the mean, which serves as a gauge of the data set's centre, is determined. By calculating the average deviation of each value from the mean, the standard deviation—a measure of the data's spread—is determined.

It is possible for a data set to have a large mean and a small standard deviation, a small mean and a large standard deviation, or any value in between. The values of the data collection determine everything.

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Answer:

-b+√b^2-4ac÷2a

Step-by-step explanation:

-2+√(1)^2-4(2)(-2)÷4

so it a long process but here Is the answer

x=1÷4+1÷4√17

x=1÷4+-1÷4√17

Answer: x>5

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer: x is greater than 5

Step-by-step explanation:

9(2(5)-9)-5 greater than 4

9(10-9)-5 greater than 4

9-5 greater than 4

4 greater than 4

So x MUST be greater than 5

The weighted average estimator Yˉω​ is considered to estimate the expectation μ. To be an unbiased estimator, the weights ω1​, ω2​, and ω3​ should satisfy the condition that their sum is equal to 1.

(a) To calculate E[Yˉω​], we can take the expectation inside the summation:

E[Yˉω​] = E[ω1​Y1​ + ω2​Y2​ + ω3​Y3​]

= ω1​E[Y1​] + ω2​E[Y2​] + ω3​E[Y3​]

= ω1​μ + ω2​μ + ω3​μ

= μ(ω1​ + ω2​ + ω3​)

For Yˉω​ to be an unbiased estimator, its expectation should be equal to the parameter being estimated, which is μ. Therefore, we have the condition ω1​ + ω2​ + ω3​ = 1.

(b) To calculate V[Yˉω​], we need to determine the variance inside the weighted average:

V[Yˉω​] = V[ω1​Y1​ + ω2​Y2​ + ω3​Y3​]

= ω1​^2V[Y1​] + ω2​^2V[Y2​] + ω3​^2V[Y3​]

= ω1​^2σ^2 + ω2​^2σ^2 + ω3​^2σ^2

= σ^2(ω1​^2 + ω2​^2 + ω3​^2)

To minimize the variance V[Yˉω​], we need to find the weights ω1​, ω2​, and ω3​ that minimize the expression ω1​^2 + ω2​^2 + ω3​^2, while still satisfying the condition ω1​ + ω2​ + ω3​ = 1. One approach to find the minimum variance is by using calculus techniques, such as Lagrange multipliers, to optimize the expression under the constraint. Solving this optimization problem will yield the specific weights that minimize the variance of Yˉω​, and the justification lies in the mathematical derivation of the optimal solution.

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The limit lim x → 0 5x^4 cos(2/x) does not exist.

(a) To find the limit of lim x → π/4 (sin x - cos x) / (tan x - 1), we can directly substitute π/4 into the expression:

lim x → π/4 (sin x - cos x) / (tan x - 1) = (sin(π/4) - cos(π/4)) / (tan(π/4) - 1)

= (1/√2 - 1/√2) / (1 - 1)

= 0 / 0

The expression results in an indeterminate form of 0/0, which means we cannot directly evaluate the limit using substitution. We need to apply further algebraic manipulation or use other techniques, such as L'Hôpital's rule, to evaluate the limit.

(b) To find the limit of lim x → 0 5x^4 cos(2/x), we can substitute 0 into the expression:

lim x → 0 5x^4 cos(2/x) = 5(0)^4 cos(2/0)

= 0 cos(∞)

Here, cos(∞) is undefined. The limit of cos(2/x) as x approaches 0 oscillates between -1 and 1, and multiplying it by 0 results in an undefined value.

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Answer:

Southwest.

Step-by-step explanation:

East clockwise 90 degrees is South

South clockwise 45 degrees is Southwest

PLS GIVE BRAINLIEST

Think about it.

Starting on the x-axis at 0° we move in a CLOCKWISE direction and stop in quadrant 3 at 135°.

We travel in the SOUTHWESTERN direction.

In order to write down the cost of joining to each Gym, you take into account both cost of sign up and cost per month. If you chose x as the variable that determines the number of months, you can write algebraically the costs for each gym as follow:

silver's gym costs = 65 + 50x

solar fitness costs = 20 + 55x

That is, the cost is cost of sign up plus cost of merbership per month (variable x)

(a) The length of wire that should be used for the square in order to maximize the total area is 9 meters.

(b) Using the same 9 meters of wire for the square will result in the minimum total area as well as the maximum total area.

(a) To maximize the total area, we need to use as much wire as possible for the square and as little as possible for the triangle. Let x be the length of wire used for the square, then the length of wire used for the triangle is 9 - x.

For the square, we have:

4s = x, where s is the side length of the square.

For the equilateral triangle, we have:

3t = 9 - x, where t is the side length of the equilateral triangle.

Solving for x in terms of s and t, we get:

x = 4s and x = 9 - 3t/2.

Substituting x = 4s into x = 9 - 3t/2, we get:

4s = 9 - 3t/2

8s = 18 - 3t

t = (18 - 8s)/3

The area of the square is given by A = s^2, and the area of the equilateral triangle is given by A = (\(\sqrt{3}\)/4)t^2.

Substituting t = (18 - 8s)/3, we get:

A = (\(\sqrt{3}\)/4)((18 - 8s)/3)^2

To maximize the total area, we need to maximize A, which is a function of s. Taking the derivative of A with respect to s, we get:

dA/ds = -4\(\sqrt{3}\)(4s-9)/27

Setting dA/ds = 0, we get:

4s - 9 = 0

Solving for s, we get:

s = 9/4

Therefore, the length of wire that should be used for the square in order to maximize the total area is:

x = 4s = 9 meters.

(b) To minimize the total area, we need to use as little wire as possible for the square and as much as possible for the triangle. Let x be the length of wire used for the square, then the length of wire used for the triangle is 9 - x.

Using the same equations as in part (a), we get:

t = (18 - 8s)/3

A = (\(\sqrt{3}\)/4)((18 - 8s)/3)^2

Taking the derivative of A with respect to s, we get:

\(dA/ds = -4\sqrt{3}(4s-9)/27\)

Setting dA/ds = 0, we get:

4s - 9 = 0

Solving for s, we get:

s = 9/4

This is the same value as in part (a), which means that using 9 meters of wire for the square will result in the minimum total area as well as the maximum total area.

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Answer:

B

Step-by-step explanation:

If you multiply 8 times 3 you’ll get 24

The requried value of 'a' in the given expression is a = -12.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
8⁻⁵⁵ / 8ᵃ = 8⁻⁴³
8ᵃ = 8⁻⁵⁵ / 8⁻⁴³
8ᵃ = 8 ⁻⁵⁵ ⁺ ⁴³
8ᵃ = 8⁻¹²

Taking logs on both sides
a ln 8 = -12 ln 8   [lnbˣ = x lnb]
a = -12

Thus, the requried value of 'a' in the given expression is a = -12.

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Answer:

Let's actually find the line of best fit...

m=(nΣyx-ΣyΣx)/(nΣx^2-ΣxΣx)

m=(11*836-130*55)/(11*385-3025)

m=2046/1210  

m=93/55

b=(Σy-93Σx/55)/n

b=(55Σy-93Σx)/(55n)

b=(7150-5115)/(55*11)

b=185/55, so the line of best fit is:

y=(93x+185)/55

A)  The approximate y-intercept (the value of y when x=0) is 185/55≈3.36.

Which means that those who do not practice at all will win about 3.36 times

B) y(13)=(93x+185)/55

y(13)≈25.34

So after 13 months of practice one would expect to win about 25.34 times.

Together, Tony and Ted caught 78.29 pounds + 59.36 pounds = 137.65 pounds of fish when they went fishing.

Addition is a mathematical process that combines two or more numbers or units to form a sum. One of the four fundamental operations of mathematics, along with addition, subtraction, multiplication, and division, it is generally represented by the plus sign (+). The fundamental idea of addition is one that is taught to children at a young age and is utilized frequently in both mathematics and daily life. For instance, when shopping, one may tally up the costs of several goods to get the overall expense. In algebra, adding is used to solve problems and make statements simpler. Finding side lengths and shape areas are both important aspects of geometry. In general, adding is flexible. for example,Tony and ted went fishing. and we got to calculate the total fishes caught by them.

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Answer:

50

Step-by-step explanation:

20/ 100 x 50

then u will get 10 as the answer

Answer:

B. 24

Step-by-step explanation:

just took the quiz and got it right

Answer:

220

Step-by-step explanation:

70*3.25=219.8

Answer:

220 centimeters

Step-by-step explanation:

To find the circumference of a circle, use the formula \(C=2\pi r\), where C is the circumference and r is the radius. Substitute our values in. Remember that the radius is half of the diameter, so it is 35.

\(C=2\pi r\)

Plug in the radius of our tire.

\(C=2\pi (35)\)

Simplify.

\(C=6.28(35)\)

\(C=219.8\)

The circumference is 219.80 cm. Round this up to 220 cm.

Good luck ^^

Answer:

(-4,2)

Step-by-step explanation:

It's the coordinates that the two lines cross at.

Answer:

d,c,b,a

Step-by-step explanation:

Probability calculation: To calculate the probability that the temperature of Lake Larson will be greater than 86 degrees, we need to use the concept of standard deviation and the normal distribution.

Since we know the average temperature is 58 degrees and the standard deviation is 5 degrees, we can use these values to find the z-score for the temperature of 86 degrees. The z-score formula is given by: z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get: z = (86 - 58) / 5 = 5.6.Using a standard normal distribution table or a calculator, we can find the probability corresponding to a z-score of 5.6. The probability is extremely small, close to 0. In other words, the chance that the temperature of Lake Larson will be greater than 86 degrees is very unlikely.

The distribution of temperatures of Lake Larson can be represented by a normal distribution curve. The mean of 58 degrees represents the center of the curve, and the standard deviation of 5 degrees determines the spread or variability of the temperatures. When we calculate the probability that the temperature will be greater than 86 degrees, we find a very low probability. This indicates that temperatures significantly higher than the average are rare occurrences. The distribution curve shows that most of the temperatures cluster around the mean of 58 degrees, with fewer temperatures occurring as we move towards the extremes.

This information is valuable for understanding the temperature patterns and making predictions about the likelihood of extreme temperatures. It suggests that temperatures above 86 degrees are highly unlikely and that Lake Larson tends to have a relatively stable temperature range centered around 58 degrees.

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The length of the diagonal of the rectangular prism drawn between the front bottom left vertex and the back top right vertex is about 9.5 feet

A rectangular prism is a six faced polyhedron in which the opposite faces are parallel and all faces are rectangles.

The dimensions (lengths of the sides of the rectangular prism are)

Length, l = 7 feet

Width, w = 4 feet

Height, h = 5 feet

The value of the diagonal of the base of the prism can be found as follows;

Length of the diagonal of base = √(7² + 4²) = √(65)

The diagonal of the base is a leg of the right triangle that has the diagonal of the prism as the hypotenuse side. The other leg of the right triangle formed by the diagonal of the prism is the height of the prism, therefore;

The diagonal of the rectangular prism, d = √(65 + 5²) = √(90) = 3·√(10)

The diagonal of the rectangular prism is therefore;

d = 3·√(10) ≈ 9.5

The diagonal of the rectangular prism is approximately 9.5 feet

The diagonal of a rectangular prism of length. l, width, w, and height, h, can also be obtained using the formula;

d = √(l² + w² + h²)

Therefore, d = √((7 feet)² + (4 feet)² + (5 feet)²) ≈ 9.5 feet

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