If x : 3 = 5 : 7 , then x = ………

Answer:

Step-by-step explanation:

D SHOULD BE THE ANSWER.

Experimental probability of tails = Number of tails / Total number of tosses

Experimental probability of tails = 287 / 500

Experimental probability of tails = 0.574 or 57.4%

Since the experimental probability of getting tails is greater than the theoretical probability, this suggests that the coin may be biased toward tails.

Answer:

1. \(\normalsize \boxed{\textsf{$4\sqrt{2}\cdot\sqrt{2}$}} \implies \boxed{8}\)

2. \(\normalsize \boxed{\textsf{$3\sqrt{7}-2\sqrt{7}$}} \implies \normalsize \boxed{\textsf{$\sqrt{7}$}}\)

3. \(\normalsize \boxed{\textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}} \implies \normalsize \boxed{\textsf{$\dfrac{1}{2}$}}\)

4. \(\normalsize \boxed{\textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}} \implies \boxed{20}\)

Step-by-step explanation:

The Radical Rules by Lial et al. (2017) state that:

Product rule: \(\large \textsf{$\sqrt[n]{a}\cdot\sqrt[n]{b}=\sqrt[n]{ab}$}\)

Quotient rule: \(\large \textsf{$\sqrt[n]{\dfrac{a}{b}}=\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}$}\ \ \textsf{$(b \neq 0)$}\)

1.

\(\implies \normalsize \textsf{$4\sqrt{2}\cdot\sqrt{2}$}\\\\\normalsize \implies \textsf{$4\sqrt{2\cdot2}$}\\\\ \implies \normalsize \textsf{$4\sqrt{4}$}\\\\ \implies\normalsize \textsf{$4\cdot 2 = 8$}\)

\(\normalsize \boxed{\textsf{$4\sqrt{2}\cdot\sqrt{2}$}} \implies \boxed{8}\)

2.

\(\implies \normalsize \textsf{$3\sqrt{7}-2\sqrt{7}$}\\\\ \implies\normalsize \textsf{$(3-2)\sqrt{7}$}\\\\ \implies\normalsize \textsf{$1\sqrt{7}$}\\\\ \implies\normalsize \textsf{$\sqrt{7}$}\)

\(\normalsize \boxed{\textsf{$3\sqrt{7}-2\sqrt{7}$}} \implies \normalsize \boxed{\textsf{$\sqrt{7}$}}\)

3.

\(\implies \normalsize \textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}\\\\\\ \implies\normalsize \textsf{$\dfrac{1\sqrt{7}}{2\sqrt{7}}$}\\\\\\ \implies\normalsize \textsf{$\dfrac{1}{2}$}\\\\\)

\(\normalsize \boxed{\textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}} \implies \normalsize \boxed{\textsf{$\dfrac{1}{2}$}}\)

4.

\(\implies \normalsize \textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}\\\\ \implies\normalsize \textsf{$2\cdot2\sqrt{5\cdot5}$}\\\\ \implies \normalsize \textsf{$4\sqrt{25}$}\\\\ \implies \normalsize \textsf{$4\cdot5=20$}\\\\\)

\(\normalsize \boxed{\textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}} \implies \boxed{20}\)

Reference:

Lial, M., Hornsby, J., Schneider, D., & Daniels, C. (2017). College Algebra and Trigonometry, Global Edition (6th ed., p. 94).

The solution of the given linear system of equations is x = 2, y = 1 and z = 2.

Given that the linear system of equations is

2x + 4y + 2z = 16-2x - 3y + z = -52x + 2y - 3z = -3

To solve the system of equations by Cramer's rule method, arrange them in the form of Ax = B as below:

A = [2, 4, 2; -2, -3, 1; 2, 2, -3], x = [x, y, z] and B = [16, -5, -3]

To find the inverse of the coefficient matrix A⁻¹, first, find the determinant of A as below:

|A| = 2[-3 - 2] - 4[-2 + 2] + 2[-8 + 1] = -12

The determinant is non-zero, hence A is invertible

A⁻¹ = 1/|A| [adj A]

where adj A is the transpose of the cofactor matrix [C] of A:

adj A = [C]T

So, we find [C] by replacing each element of A with its cofactor and taking its transpose matrix as below:

C = [5, 2, 6; 2, -2, 2; -4, -4, -4]

Then [C]T = [5, 2, -4; 2, -2, -4; 6, 2, -4]So, A⁻¹ = 1/|A| [adj A] = 1/(-12) [5, 2, -4; 2, -2, -4; 6, 2, -4] = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2]

To solve the system of equations, we have x = A⁻¹B as below:

x = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2][16; -5; -3] = [2; 1; 2]

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Answer:

This will be your answer. I hope this helps, good luck! :)

Answer:

Value of given expression is 3⁻¹⁴

Step-by-step explanation:

Given expression:

3⁻⁸ x 3⁻⁴ x 3⁻²

Find:

Value of given expression

Computation:

⇒ 3⁻⁸ x 3⁻⁴ x 3⁻²

⇒ 3[⁻⁸⁻⁴⁻²]

⇒ 3⁻¹⁴

Value of given expression is 3⁻¹⁴

"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.

This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.

Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.

When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.

In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

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Answer:

(x+1)²=-1

Step-by-step explanation:

x²-7x=-9x-2

x²+2x+2=0

If you solved this using the quadratic formula, you’d end up with -1+i and -1-i.

but if you subtracted 1 from both sides, you’d have

x²+2x+1=-1

Which is:

(x+1)²=-1

The graph's curve "moves to the left/right/up/down," "expands or compresses," or "reflects" when a function is transformed. f(x) = 3x+8

A function is defined as a relationship between a set of inputs that each have one output. A function is a relationship between inputs in which each input is related to exactly one output. Every function has a domain and a codomain, as well as a range.

The graph's curve "moves to the left/right/up/down," "expands or compresses," or "reflects" when a function is transformed. For example, the graph of the function f(x) = x2 + 3 is generated by simply pushing the graph of the function g(x) = x2 up by 3 units.

Therefore,

f(x) = |x|

y = f(x) + C C < 0 moves it down

y = |x| 8  for  shifting down 8

y = f(x + C) C > 0 moves it left

y = Cf(x)  C > 1 stretches it in the y-direction

y = 3x+8  to stretch it 2 vertically

y = −f(x)  Reflects it about x-axis

y = 3x+8

Hence, The graph's curve "moves to the left/right/up/down," "expands or compresses," or "reflects" when a function is transformed. f(x) = 3x+8

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Answer:

{1, -5/6}

Step-by-step explanation:

(6a+5)(a-1) = 0

6a+5 = 0 (or) a-1 = 0

a = -5/6 (or) a = 1

Answer: i beleive $72

Step-by-step explanation:

Answer:

119.6

Step-by-step explanation:

Remark

Draw a rough sketch of what is given.

You will find the NP is the side opposite of the triangle.

P is the right angle

OP is the hypotenuse.

Given

NP = 72

<O = 37

Equation

Sin(O) = NP/OP

Sin(72) = .6018

0.6018 = 72/OP                     Multiply both sides by OP

0.6018*OP = 72                     Divide both sides by 0.6018

OP = 72/0.6018

OP = 119.6

Answer: 37

Step-by-step explanation:

If you use the pythagorean theorem formula which is \(\sqrt{a^2+b^2\). You would do :

\(\sqrt{12^2+35^2\)

= 37

a) We can actually use a linear equation for x, given by:

x*(3 + √5) = 10cm

With the solution x = 1.91cm

b) The longest side is:

√5*x = 4.27cm

You need to remember the Pythagorean's theorem, it says that the sum of the squares of the two shorter sides on a right triangle is equal to the square of the hypotenuse.

a) Here we know that the two shorter sides have a length:

x and 2x.

Then we have:

x^2 + (2x)^2 = H^2

x^2 + 4*x^2 = H^2

Where H is the hypotenuse, then we can rewrite:

5*x^2 = H^2

(√5)*x = H

Finally, we know that the perimeter of the triangle is 10 cm, then we have:

x + 2x + √5*x = 10cm

x*(1 + 2 + √5) = 10cm

x*(3 + √5) = 10cm

x = (10 cm)/(3 + √5) = 1.91cm

Notice that in this procedure we got a linear equation instead of the quadratic one we would got in point a (but the solution is the same, just a simpler approach.).

b) The length of the longest side is:

√5*x = √5*1.91cm = 4.27cm

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Answer:

Step-by-step explanation:

One fraction that is smaller than 5/8 id 4/8, 3/8, 2/8, of 1/8; by decreasing the amount out of eight, you are reducing the fraction. Another way to make a fraction smaller is by increasing the denominator, increasing the denominator allows you to have tthe same amount out of a bigger total: 5/9, 5/10, 5/11, 5/12, 5/13, and so on.

Answer: 1/10

Step-by-step explanation: 5/8 = .625 > .100 = 1/10

The margin of error can be calculated using the formula:
Margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2

In this case, a margin of error of 9.55 suggests that the sample mean is quite precise, since it's relatively close to the true population mean (which we know to be 52.90).

In this case, the lower limit of the confidence interval is 43.85 and the upper limit is 61.95.
Margin of error = (61.95 - 43.85) / 2
Margin of error = 9.55
Therefore, the margin of error is 9.55. This means that if the sample size were to be repeated, we would expect the sample mean to be within 9.55 units of the true population mean 95% of the time.
It's worth noting that the confidence interval provides a range of values within which we can be reasonably certain that the true population mean lies. The margin of error, on the other hand, gives us an indication of the precision of our estimate. However, if the margin of error were larger, this would indicate that our estimate is less precise and that we need a larger sample size to obtain a more accurate estimate of the population mean.

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The absolute change in the population was 59 million. The relative change in the population was 23.69%

The absolute population change is the magnitude of the increase or decrease in population for a defined period.

Absolute change describes the straightforward difference between the indicator over two time periods. The indicator's value in the earlier period is used to calculate the relative change, which expresses the absolute change as a percentage.

Small numbers can make relative changes appear more significant than they actually are. This is true because a minor change in the number's absolute value can generate a significant change in the percentage.

Big numbers may make relative changes appear less significant. This is so that any change in the number that represents a substantial relative change may be seen.

The relative change can be minor even when the absolute change is significant if it is a change on a larger number.

Absolute change = Final value – Initial value

                            = 308m- 249m = 59m

The absolute change in the population was 59 million

Relative change Formula = (Final value – Initial value) / Initial value * 100%

                                         =  308m- 249m/ 249*100 = 23.69%

The relative change in the population was 23.69%

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Answer:

846,838,805

Step-by-step explanation:

Add 846837947+858

After answering the provided question, we can conclude that As a result, the probability of drawing a non-red letter is 11/13, or approximately 0.846, or 84.6%.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The alphabet has a total of 26 letters, four of which are red. As a result, the likelihood of drawing a red letter is:

P(red) = 4/26 = 2/13

Drawing a non-red letter is the complementary event to drawing a red letter. The number of letters that are not red is:

26 - 4 = 22

As a result, the likelihood of drawing a non-red letter is:

Non-red P(non-red) = 22/26 = 11/13

As a result, the likelihood of the complementary event of drawing a red letter is:

P(non-red) = P(complementary event) = 11/13

As a result, the likelihood of drawing a non-red letter is 11/13, or approximately 0.846, or 84.6%.

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Both the angles can be equated because they are alternate interior angle.

Hence,

3x = 2x + 20

→ 3x - 2x = 20

→ x = 20

The interpretation for the slope of the linear regression prediction equation is change in y with a unit change in x.

The linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables.

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

Consider the slope of the line as m

m= Change in y coordinate / Change in x coordinate

When change in x coordinate is 1 unit

Then,

m= Change in y coordinate

If the change in x is 1 unit, then slope of the line will change depends on change in y coordinate

Hence, The interpretation for the slope of the linear regression prediction equation is change in y with a unit change in x.

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El valor que satisface D es 188.

El modelo matemático será así:

D/d = 12(resto 8)

si escribimos 8 como resto de D, entonces:

(D-8) /d=12

D-8= 12d o se puede escribir D= 12d+8

luego sustituya D= 12d+8 por D+d= 203

D+d= 203

(12d +8) +d= 203

13d= 203-8

13d= 195

re=15

sustituir d=15 en D+d= 203

D+d= 203

D+15=203

D=203-15

D=188

El modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.

El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.

, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:

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Answer:

\(y=-5x+0\)

Step-by-step explanation:

We know that slope intercept form is:

\(y=mx+b\)

And our slope is -5, and the variable we use for slope is m:

\(m=-5\)

Our new equation becomes:

\(y=-5x+???\)

And our y-intercept is 0, and the letter we use to express our y-intercept is b:

\(b=0\)

Our new equation is:

\(y=-5x+0\)

Hence, the correct answer is \(y=-5x+0\)

Answer:

Nothing is here. You may need to reupload question.

Answer:

1: 8x

2: 2x+6

3: -7+7x

4: 5x+4

Step-by-step explanation:

1) 2(4x) = 8x

2) 2x +6

3) 7x -7

4) 5x+4

The probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible, is 0.2355.

We are given that the loss under a liability policy is modeled by an exponential distribution. This means that the amount of the loss that exceeds the deductible follows an exponential distribution.

The insurance company will cover the amount of the loss in excess of a deductible of 2000. So, we are interested in calculating probabilities related to the reimbursement amount (Y) given that the loss exceeds the deductible.

We are given that the probability that the reimbursement is less than 6000, given that the loss exceeds the deductible, is 0.50. Mathematically, this can be expressed as:

P(Y ≤ 6000 | X > 0) = 0.50

where X is the amount of the loss that exceeds the deductible.

Using the memoryless property of the exponential distribution, we can rewrite the probability as:

P(X ≤ 4000) = 0.50

This is because P(Y ≤ 6000 | X > 0) is equivalent to P(X ≤ 4000) since the deductible is 2000.

From the given probability, we can determine the parameter λ of the exponential distribution. We have:

P(X > 2000) = e^(-λ*2000) = 0.5

Solving for λ, we find:

λ = ln(0.5)/(-2000) ≈ 0.00034657

Now, we want to calculate the probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible:

P(3000 < Y ≤ 9000 | X > 0)

Using the memoryless property, we can rewrite this as:

P(X > 1000) - P(X > 7000)

Substituting the value of λ we found earlier, we have:

P(3000 < Y ≤ 9000 | X > 0) = e^(-λ1000) - e^(-λ7000)

Plugging in the value of λ, we can calculate the probability:

P(3000 < Y ≤ 9000 | X > 0) ≈ e^(-0.34657) - e^(-2.426) ≈ 0.3226 - 0.0871 ≈ 0.2355

Therefore, the probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible, is approximately 0.2355.

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Answer:

(a)

angle bisector

(b)

altitude

(c)

perpendicular bisector

Step-by-step explanation:

The two vectors are equal in magnitude and opposite in direction. This means that they cancel each other out, resulting in a net displacement of 0.

If the total displacement of two vectors is 0, it means that the final position of an object after being displaced by the two vectors is the same as its initial position. This can happen in a few ways:

The two vectors are equal in magnitude and opposite in direction. This means that they cancel each other out, resulting in a net displacement of 0.

The two vectors are parallel but pointing in opposite directions. This means that the object is displaced in one direction and then back again, resulting in a net displacement of 0.

The two vectors are perpendicular and the magnitude of each vector is the same. This means that the object is displaced in one direction and then back again in the perpendicular direction, resulting in a net displacement of 0.

Therefore, In all cases, it can be inferred that the two vectors are in some way related to each other in terms of direction and magnitude.

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Answer:

\(\frac{400}{3} \pi\)

Step-by-step explanation:

Formula for Cone: π\(r^{2}\frac{h}{3}\)

Since we have all the components, we can find the volume of the cone.

R = 10

H = 4

π\(10^{2}\frac{4}{3}\)

10×10 = 100

100π\(}\frac{4}{3}\)

\(}\frac{4}{3}\)×100

4       100          400

---  ×   -----    =    ------

3          1              3

Answer: \(\frac{400}{3} \pi\)

Hope this helped.

Find the volume of a cone with radius 10 feet and height of 4 feet.

Given Data :

Radius = 10 feet

Height = 4 feet

Formulae :

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \blue{ \underline{ \overline{ \green{ \boxed{ \frak{{ \sf V}olume_{(Cone)} = \pi {r}^{2} \frac{h}{3}}}}}}}\)

Putting the values we get

\( \frak{ Volume_{(Cone)} = 3.14 × (10)² × \frac{4}{3} }\)

\( \frak{Volume_{(Cone)} = 3.14 × 100 × \frac{4}{3} }\)

\( \frak{Volume_{(Cone)} = 314 \times \frac{4}{3} }\)

\( \frak{Volume_{(Cone)} = 418.67 \: ft³ }\)

Henceforth, the volume is 418.67 ft³

Answer:

A=4

Step-by-step explanation:

you use the Pythagorean Theorem,

 a triangle having a Leg b length of 3 and a Hypotenuse c length of 5 would have a Leg a length of 4.

Here is how I solved for Leg a using the Pythagorean Theorem.

Leg a = sqrt[ (Hypotenuse c)2 - (Leg b)2 ]

Leg a = sqrt[ (5)2 - (3)2 ]

Leg a = sqrt[ 25 - 9 ]

Leg a = sqrt[ 16 ]

Leg a = 4

Answer:

Step-by-step explanation:

The angles ∠2 and 146° are corresponding angles as per drawing

Since corresponding angles are equal, we have:

m∠2 = 13x + 3 and m∠2 = 146°