When the number x is trebled(x3) and 5 is subtracted from it the result is equal to 10. Represent this statement algebraically

Answer:

Your Answer is going to be C

Answer: 32%

Step-by-step explanation:

To find the relative frequency, you divide the specific term by the sum of all terms.

start by adding all of the colors together, 5 + 6 + 6 + 8 = 25

then divide the blue number by the sum, 8/25 = 0.32

than multiply that by 100 to get its percentage, 0.32(100) = 32%

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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your z-score is approximately 0.385.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

To find your z-score, we can use the formula:

z = (x - μ) / σ

where:

- x is your individual score (562),

- μ is the mean of the distribution (518), and

- σ is the standard deviation of the distribution (114).

Plugging in the values:

z = (562 - 518) / 114

Calculating:

z = 44 / 114

Simplifying:

z ≈ 0.385

Therefore, your z-score is approximately 0.385.

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To integrate the function f(x) = (\(x^3\) - 2\(x^2\) + 2x + 1) / (\(x^2\) - 2x + 1), we can divide the numerator by the denominator using polynomial long division. The final answer to the integral is ∫ f(x) dx = (1/2)\(x^2\)+ x + C.

Let's start by performing polynomial long division to divide the numerator (\(x^3\) - 2\(x^2\) + 2x + 1) by the denominator (\(x^2\) - 2x + 1). The division yields x + 1 as the quotient and a remainder of 0. Therefore, we can rewrite the original function as f(x) = x + 1.

Now, we can integrate f(x) = x + 1 term by term. The integral of x with respect to x is (1/2)\(x^2\), and the integral of 1 with respect to x is x. Therefore, the integral of f(x) is given by:

∫ f(x) dx = ∫ (x + 1) dx = (1/2)x^2 + x + C,

where C is the constant of integration.

So, the final answer to the integral of f(x) = (\(x^3\) - 2\(x^2\) + 2x + 1) / (\(x^2\) - 2x + 1) is:

∫ f(x) dx = (1/2)\(x^2\) + x + C.

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Answer:

11

Step-by-step explanation:

using pi ×r²×h=area

3.14×r²×h= 3419.46

basic algebra

Answer:

so the(g) semicircle should go up top with

K-Means uses Euclidean distance. The output includes average and maximum distances, separation, and convergence after iterations related to the number of starting seeds.

In the output of a K-Means cluster analysis, "Ave Distance" refers to the average distance between the data points and their assigned cluster centroids.

"Max Distance" represents the maximum distance between any data point and its assigned centroid. "Separation" indicates the distance between the centroids of different clusters, reflecting how well-separated the clusters are.

Convergence in K-Means clustering refers to the point when the algorithm reaches stability and the cluster assignments no longer change significantly.

When the video mentions convergence after 4 iterations, it means that after four rounds of updating cluster assignments and re-computing centroids, the algorithm has achieved a stable result.

The "Number of starting seeds" option determines how many initial random seeds are used for the algorithm, and it can affect the number of iterations needed for convergence. Increasing the number of starting seeds may result in faster convergence as it explores different initial configurations.

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Given:

The cost of belonging to a gym can be modelled by,

To find:

The slope and the y-intercept

Explanation:

The equation is of the slope-intercept form of the linear equation,

Where m is the slope and c is the y-intercept.

Comparing we get,

Here, the slope represents the cost per month of membership and the y-intercept represents the fixed initial fee to be given to the gym for joining.

Final answer:

• The slope is 50.

• The y-intercept is 79.50.

The probability that the X is between 72 and 84 is 0.340 , the correct option is (d) .

In the question ,

it is given that ,

The random variable X is said to be normally distributed  ,

the mean is given as , μ = 70 , and

standard deviation of normal distribution is  (σ) = 10

probability that X is between 72 and 84 is written as P(72 < X < 84)

= P((72 - 70)/10 \(<\) Z \(<\) (84 - 70)/10)

= P(0.2 < Z < 1.4)

= P(0 \(<\) Z \(<\) 1.4) – P(0 \(<\) Z \(<\) 0.2)

From the z table , we get the values as

= 0.4192 – 0.0793

= 0.3399

≈ 0.340

Therefore , The probability that the X is between 72 and 84 is 0.340 , the correct option is (d) .

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Answer:

20

Step-by-step explanation:

we expect to have the smae outcome so we just multiply the out puts by 5 to see what would happen after 125 draws

Note that where you have a data set of positive values, at least two of which are not equal, the sample statistics that will be changed when each value in this data set is multiplied by a constant whose absolute value is greater than 1 is: "I, II and III" (Option E)

First, note that Sample Statistics are values calculated from a sample data.

If we multiply all the numbers in a data set by a bigger number, it will change the mean, median, and standard deviation. The mean, for example, changes because it is the average of all the numbers, so if we make all the numbers bigger the mean will also get bigger.

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Full Text:

Consider a data set of positive values, at least two of which are not equal. Hich of the following sample statistics will be changed when each value in this data set is multiplied by a constant whose absolute value is greater than 1?

I. The mean

II. The median

III. The standard deviation

A. I only

B II Only

C. III only

D. I and II only

E. I, II, and Ill

Answer:

64800 meters

Step-by-step explanation:

there are 60 seconds in one minutes and 60 minutes in one hour.to turn that into seconds you would do 60 x 60=3600. 3600 is the amount of seconds. now you multiply that by 18 to get 64800 meters. im pretty positive im right...

Answer:

64,800

Step-by-step explanation:

18 meters times 60 seconds times 60 minutes

The p-value for testing H0 (null hypothesis) versus Ha (alternative hypothesis) is 0.0038. We need to determine whether H0 would be rejected at different significance levels: α = 0.10, α = 0.05, α = 0.01, and α = 0.001.

To make the decision, we compare the p-value with the chosen significance level. If the p-value is less than or equal to the significance level, we reject H0. Otherwise, we fail to reject H0.

At α = 0.10: Since the p-value (0.0038) is less than 0.10, we reject H0.

At α = 0.05: Since the p-value (0.0038) is less than 0.05, we reject H0.

At α = 0.01: Since the p-value (0.0038) is greater than 0.01, we fail to reject H0.

At α = 0.001: Since the p-value (0.0038) is greater than 0.001, we fail to reject H0.

In summary:

H0 would be rejected at α = 0.10 and α = 0.05.

H0 would not be rejected at α = 0.01 and α = 0.001.

Please note that the decision to reject or fail to reject the null hypothesis depends on the chosen significance level, and different levels of significance can lead to different conclusions.

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Answer:

163.8

Step-by-step explanation:

The joist members and beams need to be designed for shear, bending, and deflection.

Determine the loads: Calculate the dead load and live load acting on the joist members and beams. The dead load includes the weight of the structure and fixed elements, while the live load represents the variable loads such as furniture or people.

Calculate the reactions: Determine the support reactions at each end of the joist members and beams by considering the equilibrium of forces and moments.

Determine the maximum bending moment: Analyze the structure and calculate the maximum bending moment at critical sections of the joist members and beams using methods such as the moment distribution method or the slope-deflection method.

Design for shear: Calculate the maximum shear force at critical sections and design the joist members and beams to resist the shear stresses by selecting appropriate cross-sectional dimensions and materials.

Design for bending: Design the joist members and beams to withstand the maximum bending moments by selecting suitable cross-sectional dimensions and materials. Consider factors such as the strength and stiffness requirements.

Design for deflection: Check the deflection of the joist members and beams to ensure that they meet the specified limits. Adjust the dimensions and materials if necessary to control deflection.

Check for other design requirements: Consider additional design considerations such as connections, bracing, and lateral stability to ensure the overall structural integrity and safety of the joist members and beams.

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Answer:

2pi

Step-by-step explanation:

The true statements about the arcs and angles in circle C are:

In Geometry, the sum of the measures of the interior angles in a quadrilateral is equal to 360°. Thus, we have:

m∠G + m∠GDC + m∠DCE + m∠GEC = 360°

60 + 90 + m∠DCE + 90 = 360

240 + m∠DCE = 360

m∠DCE = 360 - 240

m∠DCE = 120°.

Since ∠DFE is an inscribed angle that is subtended by arc DE, we have:

m∠DFE =  m∠DCE

m∠DFE =  120

m∠DFE = 1/2 × 120

m∠DFE = 60°.

Therefore, ∠EFD ≅ ∠EGD.

From circle C, we can deduce that side ED is subtended by arc ED and side FD is subtended by arc FD (side ED ≅ side FD). Thus, arc ED ≅ arc FD and m arc FD is equal to 120°.

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Answer:

A C E

took quiz

The solution of each part of the question is given below:

a. Let C be the event that a person smokes cigars, and let S be the event that a person smokes cigarettes. The percentage of Americans who smoke either cigars, cigarettes, or both can be calculated as P(C U S), where U represents the union of two events. From the given information, P(C) = 15% and P(S) = 35%. The probability that a person smokes both cigars and cigarettes is 7%, so P(C ∩ S) = 7%.

P(C U S) = P(C) + P(S) - P(C ∩ S)

P(C U S) = 15% + 35% - 7% = 43%

So, 43% of Americans smoke either cigars, cigarettes, or both.

b. The percentage of Americans who smoke neither cigars nor cigarettes can be calculated as P(C' ∩ S'), where C' represents the complement of event C (not smoking cigars) and S' represents the complement of event S (not smoking cigarettes).

P(C' ∩ S') = 100% - P(C U S)

P(C' ∩ S') = 100% - 43% = 57%

So, 57% of Americans smoke neither cigars nor cigarettes.

c. The percentage of Americans who smoke cigars but not cigarettes can be calculated as P(C ∩ S').

P(C ∩ S') = P(C) - P(C ∩ S)

P(C ∩ S') = 15% - 7% = 8%

So, 8% of Americans smoke cigars but not cigarettes.

d. The conditional probability that a person smokes cigarettes given that he smokes cigars can be calculated as P(S | C), where S represents the event that a person smokes cigarettes and C represents the event that a person smokes cigars.

P(S | C) = P(S ∩ C) / P(C)

P(S | C) = 7% / 15% = 0.47

So, the conditional probability that a randomly selected person smokes cigarettes given that he smokes cigars is 0.47, or 47%.

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Answer:

Choice B.

Explanation:

The side length is the distance between the vertices of the triangle given.

The correct function that gives the right syntax for the given data analysis is = RIGHT(B3,5)

Interpret Data Cleaning Analysis:

Data cleaning is defined as the process of fixing or removing data that are incorrect,  incorrectly formatted, duplicated, corrupted, or even incomplete data that exists within a dataset.

Now, when we combine multiple data sources, what it means is that there could be many opportunities for the data to be duplicated or mislabeled.

Now, from the question, we can see the given data of the spreadsheet with customer names and addresses and as such, we can easily say that the correct syntax is =RIGHT(B3,5).

This is because the RIGHT Function usually returns a set number of characters from the right side of a text string.

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Answer:

30.34 degree

Step-by-step explanation:

Apply sine formula

\(\frac{sin\left(A\right)}{a}=\frac{sin\left(B\right)}{b}\)

\(\frac{\sin \left(45^{\circ \:}\right)}{7}=\frac{\sin \left(b\right)}{5}\)

->simplify

\(\frac{\sin \left(b\right)}{5}=\frac{\frac{\sqrt{2}}{2}}{7}\)

you will get

\(\sin \left(b\right)=\frac{5\sqrt{2}}{14}\)

which
sin b is about 0.50507

\(sin^{-1}\left(0.50507\right)\)

->arc sine in degree mode

the answer is 30.34

Because the two angles are complementary, the value of x must be 11.5

In the image we can see that the two given angles are complementary, which means that their measures add up to 90°, then we can write:

(7x - 5)° + (x + 3)° = 90°

Now we can solve that linear equation to find the value of x, we iwll get:

7x + x - 5 + 3 = 90

8x - 2 = 90

8x = 92

x = 92/8

x = 11.5

That is the value of x.

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Answer: y=-4x+2 will give you a straight line all the way down

The y-intercept formula says that the y-intercept of a function y = f(x) is obtained by substituting x = 0 in it. Using this, the y-intercept of a graph is the point on the graph whose x-coordinate is 0. i.e., just look for the point where the graph intersects the y-axis and it is the y-intercept

hope this helps

Step-by-step explanation:

Answer:

Option 2 and Option 4 and  Option 5

Step-by-step explanation:

or this exercise it is importnatn to to remember the properties that are shown below:

1) \(a^{\frac{1}{n } } =\sqrt[n]{a}\)

2) \((a^{m})^{n}= a(^{mn)\)

Therefore, given the following expression provided in the exercise:

\(\sqrt[3]{4^{5} }\)

You can apply the properties mentioned before, in order to find an equivalent expression.

\(\sqrt[3]{4^{5} } =(4^5)\frac{1}{3} }= 4\frac{5+1}{3} =4^{\frac{5}{3} }\)

Therefore, you get:

Option 2

Addition of exponent if base is same

\(4^{} \frac{8}{3} *4^{} \frac{7}{3}=4^{} \frac{8}{3} +^{} \frac{7}{3}=4^{5}\)

Answer:

Option 2, 4 and 5

Step-by-step explanation:

hope it helped bye <33

Answer:

2nd answer is correct

Step-by-step explanation:

We know that,

\(\sqrt{x} =x^{\frac{1}{2} }\)

\(\sqrt[3]{x}=x^{\frac{1}{3} }\)

By following the above, we can solve the answer to the question.

Let us solve this now

⇒ \(\sqrt[3]{x^5y}\)

⇒  \(x^\frac{1}{3}^*^5y^\frac{1}{3}\)

⇒  \(x^\frac{1*5}{3}y^\frac{1}{3}\)

⇒  \(x^\frac{5}{3}y^\frac{1}{3}\)

Answer:

The answer is ≈3 to the nearest whole number

Step-by-step explanation:

using SOH CAH TOA

BCA

sin0=opp/hyp

sin0=7.9/11

0=sin‐¹(7.9/11)

0=46 to the nearest degree

<A=<D

so,<EDF=46°

tan0=adj/hyp

tan46=x/3.3

x=tan46×3.3

x=3 to the nearest whole number

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

Answer:

22% of 86

Step-by-step explanation:

22% = 0.22

0.22 × 86

The rate at which Ben cycles, if Andy cycles at 12 kmph is 48 kmph.

The formula for finding the rate at which Ben cycles, if Andy cycles at 12 kmph, is given by:

Ben's rate = Andy's rate x Time taken by Ben ÷ Time taken by Andy

Therefore, Ben's rate = 12 kmph x (52/3) hours ÷ (13/3) hours

Ben's rate = 48 kmph

To calculate Ben's rate, we first need to calculate the time taken by each of them. Andy sets out to cycle from Delhi to Rohtak, and Ben starts from Rohtak to cycle to Delhi. After passing each other, they completed their journey in (13/3) hours and (52/3) hours respectively.

We can calculate the rate at which Ben cycles as follows:

Calculate the time taken by each of them.

Time taken by Andy = 13/3 hours

Time taken by Ben = 52/3 hours

Calculate Ben's rate using the formula given above.

Ben's rate = 12 kmph x (52/3) hours ÷ (13/3) hours

Ben's rate = 48 kmph

Therefore, the rate at which Ben cycles, if Andy cycles at 12 kmph is 48 kmph.

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