Please find the slope

All of the methods mentioned, i.e., bar chart, pie chart, and relative frequency table are valid ways to summarize or visualize categorical variables. Option D.

They are commonly used in data analysis to gain insights into the distribution and proportion of different categories within a dataset.

A bar chart is a graphical representation of data that uses rectangular bars to display the frequency or proportion of different categories. It is useful in comparing the frequencies of different categories and identifying the most common or rare categories.

A pie chart is another graphical representation of data that uses slices of a circle to display the relative frequency or proportion of different categories. It is useful in showing the proportion of each category in relation to the whole.

A relative frequency table is a tabular representation of data that displays the frequency and proportion of each category. It is useful in comparing the frequencies and proportions of different categories and identifying the most common or rare categories.

Therefore, none of the options given would be an invalid way to summarize or visualize categorical variables. The choice of which method to use depends on the nature of the data and the purpose of the analysis.

It is important to choose a method that effectively communicates the information being presented and is appropriate for the audience. So Option D is correct.

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Note the correct question is

Which of the following would NOT be a valid way to summarize or visualize a categorical variable? Choose the correct answer below

A.)Bar chart

B.)Pie chart

C.)Relative frequency table

D.)None of the above

Answer:The square root is √23 = 4.795.

Step-by-step explanation:

Answer:

A (does : mean division? If so then A is correct)

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

We have,

\(u = sin^{-1)}(2x)\)

dv = 4 dx

Taking the derivative of u, we get:

du/dx = 1 / √(1 - (2x)²)

Integrating dv, we get:

v = ∫4 dx = 4x

Now, applying the integration by parts formula:

∫4 \(sin^{-1}(2x) dx\) = uv - ∫vdu

Plugging in the values, we have:

∫4 \(sin^{-})(2x) dx = sin^{-1}(2x) \times\) 4x - ∫(4x / √(1 - (2x)²)) dx

At this point, we need to evaluate the integral on the right side.

Let's perform a substitution to simplify it:

Let u = 1 - (2x)²

Differentiating u with respect to x, we get:

du/dx = -4(2x) = -8x

Solving for dx, we have:

dx = -du / (8x)

Substituting these values, the integral becomes:

∫(4x / √(1 - (2x)²)) dx = ∫(-4x / (8x x √u)) (-du / (8x))

Simplifying, we get:

∫(4x / √(1 - (2x)²)) dx = ∫(-1 / (2√u)) du

= -∫(1 / (2√u)) du

= -√u + C

Substituting back the value of u, we have:

∫(4x / √(1 - (2x)²)) dx = -√(1 - (2x)²) + C

Therefore,

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

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The complete question:

a) Evaluate the integral ∫4 sin^(-1)(2x) dx using integration by parts.

The answer statements,

a) True

b) False

c) True

IHI Insurance in the given question is implemented using the linear regression analysis because it is used in the question to calculate the value of the number of yearly claims led by policyholders for motor insurance (y) (x2).

As per the question, at random 500 policyholders were selected.

The range of ages of people are between 16 to 70 years

The price range for the cars is between $1100 to $52000

According to the linear regression equation given in the question,

⇒ I = 13 + (-0.5)x1i + (0.1)x2i

a) \(y^{i}\) = 13 + (0.5)x1i + (0.1)x2i

Given, x1i = 26, x2i = 20

⇒ \(y^{i}\) = 13 + (-0.5)(26) + (0.1)(20)

⇒ \(y^{i}\) = 2

Thus, it is not equal to the claim i.e. 28, so option b is false

According to the answer derived in option b,

We can see that the coefficient of x 1i is negative and such that it will be decreased by 0.5

Thus, option a is true

Now as the coefficient of x 2i is positive it will increase by 0.1

Thus, option c is true

Therefore, option a) is true, option b) is false and option c) is true.

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IHI Insurance has conducted a multiple linear regression analysis to predict the value of the number of annual claims incurred by a motor insurance policyholder (y)based on the age of the policyholder in years (x1) and the value of the car insured in thousands of dollars (x2). The analysis was based on a random sample of 500 policyholders. The ages in the sample ranged from 16 to 70 and the values of the cars in the sample ranged from $1,100 to $52,000. The multiple linear regression equation corresponding to IHI's analysis is y^i = 13 + (-0.5)x1i + (0.1)x2i.

Select whether the following statements regarding the multiple linear regression equation are true or false:

a 26-year-old policyholder with a car worth $20,000 is predicted to make 28 claims.

b) holding x2 constant, a one-year increase in x1 will result in a decrease of 0.5 in the predicted value of y.

c) holding x1 constant, a one thousand dollar increase in x2 will result in an increase of 0.1 in the predicted value of y.

The duration of this event is 4 hours

This function is a quadratic one

let Δ be the discriminant :

a = -16

b = 48

c= 64

Δ = 48²-4*(-16)*64 = 6400

So there are two values that satisfy -16t²+48t+64 = 0  x and y

x= (-48+80)/-16*2 = -1

y= (-48-80)/-16*2= 4

x<0 so w won't take it since time is a positive value here

so t = y = 4h

What is a quadratic equation meaning?

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The measure of the middle angle of  triangle abc is 52°

Let the largest angle of triangle be x, the smallest angle be z, and the third angle be y.

Given that the measure of the largest angle is 32 less than 3 times the smallest angle.

So, we get an equation,

x = 3z - 32              ............(1)

Also, the measure of the middle angle is 8 more than half the measure of the largest angle.

So, we get an equation,

y = 8 + (x/2)          .......(2)

From equation (1),

z = (x + 32)/3           ..........(3)

We know that the sum of all angles of triangle is 180 degrees.

x + y + z = 180

Substitute the values of y and z in above equation.

x + 8 + (x/2) + (x + 32)/3 = 180

6x + 48 + 3x + 2(x + 32) = 1080

9x + 48 + 2x + 64 = 1080

11x + 112 = 1080

11x = 1080 - 112

11x = 968

x = 88

Substituting above value of x in equation (2)

y =  8 + (88/2)

y = 8 + 44

y = 52 degrees

Therefore, the middle angle of triangle measures 52 degrees.

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Answer:

m < DBC = 51

Step-by-step explanation:

Looking at the picture, we know <ABD and <DBC make up <ABC. Knowing this, we can set up an equation like so, plug in the known values, and solve to find m<DBC:

\(m<ABC = m<ABD + m<DBC\\122 = 71 + m<DBC\\m<DBC = 122 - 71\\m<DBC = 51\)

A number of Appropriate Subsets of the Set: There are 2n - 1 appropriate subsets of the set for every n element in the set.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets.

A set is a mathematical model for a collection of various things.

A set with a single element is a singleton, while a set with no elements is an empty set.

A set can either be infinite or have a finite number of elements.

If all of the elements in two sets are identical, then the sets are equal.

The number of subsets of a set is 2n if the set has 'n' items.

A number of Appropriate Subsets of the Set: If a set has 'n' items, then 2n - 1 is the number of appropriate subsets of the set.

Therefore, a number of Appropriate Subsets of the Set: There are 2n - 1 appropriate subset of the set for every n element in the set.

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Correct question:

The number of distinct proper subsets of a set with n elements is ____.

Answer:

x= -26/3

Step-by-step explanation:

14+x=

−1

2

(x−1)+

1

2

14+x=(

−1

2

)(x)+(

−1

2

)(−1)+

1

2

(Distribute)

14+x=

−1

2

x+

1

2

+

1

2

x+14=(

−1

2

x)+(

1

2

+

1

2

)(Combine Like Terms)

x+14=

−1

2

x+1

x+14=

−1

2

x+1

Step 2: Add 1/2x to both sides.

x+14+

1

2

x=

−1

2

x+1+

1

2

x

Answer:

x = -26/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 1/2x to both sides.

Step 3: Subtract 14 from both sides.

Step 4: Multiply both sides by 2/3.

the answer

155

324

5/9 (87/3(1/12)= 155/324

volume of the square pyramid = 245.33

given that

In geometry, a square pyramid is a pyramid having a square base. If the apex is perpendicularly above the center of the square, it is a right square pyramid, and has C4v symmetry. If all edge lengths are equal, it is an equilateral square pyramid

A square pyramid characterized by a square base is a three-dimensional shape having five faces, thus called a pentahedron. The most famous example of such a square pyramid is the Great Pyramid of Giza. A pyramid is a polyhedron that has a base and 3 or greater triangular faces that meet at a point above the base.

a square pyramid has a base = 8 inches on each side

the height of the pyramid = 11.5 inches

in square pyramids all sides are equal so, length and width are equal

length(l) = 8 inches

width (w)= 8 inches

height(h) = 11.5 inches

volume = lwh/3

volume = (8)(8)(11.5)/3

volume = 245.33

volume of the square pyramid = 245.33

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Answer:

C and D!

Step-by-step explanation:

For A, two is greater than negative four, so that eliminates that right off the bat.

In B, -1/3 is greater than -1/6, so that choice is wrong.

E, -3/4 is greater than negative three, so that is also wrong!

C and D are correct!

If you need extra help, I'm here!

Answer:

B,D

Step-by-step explanation:

They are ordered correctly

Brainliest appreciated!

Answer:

  ∆STU≅∆S'T'U'

Step-by-step explanation:

You want a congruency statement for triangle STU and its translated image.

A congruence statement lists the original figure vertices and the congruent image vertices in the same order.

  ∆STU≅∆S'T'U'

4, 16, 3 and 125 are the measures of the values A, B, C and D respectively.

If we have the logarithm expression below:

\(log_ab=c\)

This can be transformed to indices form to have:

\(b=a^c\)

Applying the rule above to the given question, we will have:

log₂ 16 = 4

2⁴ = 16

This shows that A = 4, B = 16

Similarly:

log₅125 = 3

This will be equivalent to 5³ = 125 where C = 3 and D = 125

The measure of values A, B, C and D are 4, 16, 3 and 125 respectively.

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Answer: C

Step-by-step explanation: devision?

Resposta: 30

Explicação passo a passo:

Dado o seguinte:

Preço para atingir a meta = $ 20

Penalidade por falta de alvo = $ 10

Se 80 tiros forem disparados e os participantes receberem $ 100.

Número de vezes que o participante atinge o alvo.

Deixe o número de erros = m

Deixe o número de acertos = h

h + m = 80 - - - - (1)

20h - 10m = 100 - - - (2)

h = 80 - m

Substitua h = 80 - m em (2)

20 (80 - m) - 10m = 100

1600 - 20m - 10m = 100

-30m = 100 - 1600

-30m = - 1500

m = 50

De (h = 80 - m)

h = 80 - 50

h = 30

Número de acertos = 30

O participante acerta o alvo 30 vezes

In order to solve this inequality, we can do the following steps:

Answer:

The equation is not true. It is actually c=30

Step-by-step explanation:

First you have to divide amount of money she's selling the candy bars for which is $2.50.

If her profit was $75, you want to know how much bars she sold, you will have to divide the amount of money she's selling the candy bars for and the amount she's earning which is $75 divided by $2.50 which is 30.

So c= 30

For the matrix given , the element a₂₃ is the number at 2nd row and 3 column ,which is 6 , Option B is the correct answer.

It is a table or a rectangular array of numbers or expressions arranged in rows and columns ,

For a Matrix of m x n , m is the no. of rows and n is the no. of column

For the matrix given the element a₂₃ is the number at 2nd row and 3 column ,

which is 6 ,

Therefore Option B is the correct answer.

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Use both!

You want to minimize P, so differentiate P with respect to x and set the derivative equal to 0 and solve for any critical points.

P = 8/x + 2x

dP/dx = -8/x² + 2 = 0

8/x² = 2

x² = 8/2 = 4

x = ± √4 = ± 2

You can then use the second derivative to determine the concavity of P, and its sign at a given critical point decides whether it is a minimum or a maximum.

We have

d²P/dx² = 16/x³

When x = -2, the second derivative is negative, which means there's a relative maximum here.

When x = 2, the second derivative is positive, which means there's a relative minimum here.

So, P has a relative maximum value of 8/(-2) + 2(-2) = -8 when x = -2.

The nurse will have to administer 3 milliliters with each dose.

When the prescriber orders medication f 150 mcg po q.12h, the pharmacy sends a bottle labeled:

medication f 0.05 mg/ml.

Milliliters will the nurse administer with each dose :

The conversion factor from mcg to mg is 1/1000.

Therefore, 150 mcg = 150/1000 = 0.15 mg.

The nurse has to administer 0.15 mg of medication f per dose.

The medication f available with the pharmacy is 0.05 mg/ml.

So, the nurse has to administer 0.15 mg in a single dose, which is equal to three times the quantity of medication f available in the bottle (0.05 mg/ml).

Therefore, the nurse has to administer 3 ml (0.05 mg/ml × 3 ml) of medication f with each dose.

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Answer:valid

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

- 2 ≤ 7 - x < 11

-9 ≤ - x         - x < 4

9 ≥ x           x > -4

Answer:

Hey there!

-2 ≤ 7 - x < 11

-9 ≤ - x < 4

9 ≥ x > -4

-4 < x ≤ 9

A closed circle means greater than or equal to or less than or equal to, while an open circle means greater or less than. From this equation, we see that number line A is correct.

Let me know if this helps :)

Answer:

tan 12=22/x

x=22/tan 12

x=103.77.................

Answer:

1:18:6

Step-by-step explanation:

3:54:18

This equals 1:18:6

Answer:

1

Step-by-step explanation:

concepts used is law of indices

where

(a^b)^c = a^bc

a^m/a^n = a^(m-n)

a^m *a^n = a^(m+n)

a^0 = 1

_______________________________________

50000)^2 = (5*10^4)^2 = 25*10^8

(0.00002)^3 = (2*10^-5)^3 = 8*10^-15

(0.0000001) = 10^-7

now

(50000)^2×(0.00002)^3\(200)×(0.0000001) =  25*10^8 * 8*10^-15/200*10^-7

  = 200*10^8-15-(-7)/200 = 10^-7 +7 = 10^0 = 1

Thus,1 is the answer

The probability that at least 1 slab is defective is 0.55103 or about 55.1%.

Given that a batch of 15 granite slabs is mined, and 4 have defects.

The manager spot-checks 3 slabs at random.

We need to find the probability that at least 1 slab is defective.

We can find this probability using the complement rule.

The complement of the probability that at least 1 slab is defective is that no slab is defective.

We can use the following formula:

P(at least 1 defective) = 1 - P(none defective)

Now, the probability that the first slab is not defective is 11/15.

The probability that the second slab is not defective is 10/14 = 5/7.

The probability that the third slab is not defective is 9/13.

So, the probability that none of the 3 slabs are defective is:

P(none defective) = (11/15) × (5/7) × (9/13) = 0.44897

Using the complement rule,

P(at least 1 defective) = 1 - P(none defective) = 1 - 0.44897= 0.55103

Therefore, the probability that at least 1 slab is defective is 0.55103 or about 55.1%.

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In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

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Answer:

The slope is \(\frac{3}{5}\) because if you do the rise over run method, it goes up 3 times and right 5 times, therefor being \(\frac{3}{5}\).