Which number line represents -3 < x < 1?
H
-5 4 3 2 1 1 2 3 3 4 5

The probability that either event A or B will occur is 43/60

Using the parameters given

n(A) = 29

n(B) = 14

Total number of events = 29+17+14 = 60

The probability of each event :

P(A) = 29/60

P(B) = 14/60

P(A or B ) = P(A) + P(B)

P(A or B ) = 29/60 + 14/60

P(A or B ) = 43/60

Therefore, the probability of A or B is 43/60

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To find the volume of the solid, you need to calculate the area of each cross-section and then multiply that by the thickness of the section (which is the distance along the y-axis).

(a) Squares: The cross-sections are squares with sides of length y. The area of a square is side^2, so the area of each square is y^2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the square cross-sections is y^2 * y

(b) Semicircles: The cross-sections are semicircles with radii of length y. The area of a semicircle is (pi * r^2) / 2 , so the area of each semicircle is (pi * y^2) / 2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semicircular cross-sections is (pi * y^2) / 2 * y

(c) Equilateral triangles: The cross-sections are equilateral triangles with side length of y. The area of an equilateral triangle is (s^2 * √3)/4. so the area of each equilateral triangle is (y^2 * √3) / 4. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the equilateral triangle cross-sections is (y^2 * √3) / 4 * y

(d) Semi-ellipses: The cross-sections are semi-ellipses whose heights are twice the lengths of their bases. The area of a semi-ellipse is πab/2, where a and b are the lengths of the semi-major and semi-minor axes respectively. Therefore the area of each semi-ellipse will be (πy^2)/2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semi-ellipse cross-sections is (πy^3)/2

It is important to note that this is a theoretical volume calculation, as the shape of the solid does not have a closed form representation by these functions, but rather, these are an approximation.

Also, for any of these volumes to be meaningful, we have to integrate over the range of the variable y, since it is bounded by the equations y=x, y=0 and x=1, the variable y is limited.

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The range of values of x for which the given approximation is accurate to within the stated error (0.164375 (0.164375)3/3!=9.993513*10(-7))0.000001.

The series ∑∞n=1bnsin(nπLt) is known as the sine series of f(t) and the series a02+∑∞n=1ancos(nπLt) is known as the cosine series of f(t).

The development series of sin(x) near 0 is, according to

Sin(x) = x/1, x/3, and x/5!...............(1) (1)

Using the above estimate, S(x)=x-x3/3! ................(2)

Consequently, the incorrect phrase for the guess is

error=(2)- (1)

= -(x^5/5! - x^7/7! + x^9/9!)

According to the elective series hypothesis, we only want to make sure that the aggregate will be below as much as feasible and that the outright value of the initial term dropped (x5/5!) is not exactly as far as possible.

This declares what

|x^5/5!| < 0.000001

Speaking for x:

x^5=5!*0.000001=0.000120

x=(0.000120)^(1/5)=0.164375

In light of this, the estimation of sin(x) is x-x3/3! has a blatant error for the range [-0.164375,+0.164375] below 0.000001.

Thus,

sin(0.164375)- (0.164375)^3/3!=9.993513*10^(- 7) < 0.000001

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For the given equation:

m = 3b

The constant of proportionality is 3, so the correct option is A.

After a small search on the internet, I've found that this question asks for the constant of proportionality.

Remember that a proportional relation is of the form:

y = k*x

Where k is the constant of proportionality, and x and y are the variables.

Here the relation is:

m = 3*b

Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.

In this way, we can see that the correct option is A.

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The minimum divisor such that the dividend is greater than 1000 and a quotient of 52 with a remainder of 18 is 18.86.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Division = divide any two numbers or variable called division.

Let's consider a division problem.

5/2 → 2 + 1

Here 5 is called the dividend,2 is the divisor,2 is the quotient, and 1 is the remainder.

Now,

2  × 2 + 1 = 5

Therefore,divisor × quotient + remainder = dividend

So,

Let's suppose the divisor in the given case is x

Now,

52x + 18 ≥ 1000

52x ≥ 982

x ≥ 18.86

Hence "The minimum divisor such that the dividend is greater than 1000 and a quotient of 52 with a remainder of 18 is 18.86".

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The given question is incomplete complete question is ;

What is the minimum divisor such that The dividend is greater than 1,000, The quotient of 52 with a remainder of 18

The true statement is, The graph of y = log (x) + 4 is the graph of y = log (x) translated 4 units up.

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

Given function is,

y = log (x)

When the graph is translated 4 units down,

y = log (x) - 4

When the graph is translated 4 units left,

y = log (x + 4)

When the graph is translated 4 units up,

y = log (x) + 4

When the graph is translated 4 units right,

y = log (x - 4)

Hence the true statement is C.

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Answer:

six hundred and five thousand

Step-by-step explanation:

Correct Option is,

D) Buy, because the expected rate is greater than the required rate.

Now, Based on the information you've provided,

To calculate the required rate of return, we can use the SML formula as;

Required rate of return = risk-free rate + beta x (expected market return - risk-free rate)

Plugging in the numbers, we get:

Required rate of return = 8% + 0.85 x (16% - 8%)

                                   = 14.6%

Since the expected rate of return for Stock S is,

= dividend yield + growth rate

= (1.1 / 22 + 8%),

= 9.4%

which is higher than the required rate of return of 14.6%,

Here, the stock is undervalued and would be a good buy.

Therefore, the answer is, option D) Buy, because the expected rate is greater than the required rate.

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The answer to your question is s. sqrt (316.9) = 17.8 when you take the square root of that number. As a result, the correct response is 17.8.

This is further explained below.

Generally, Because you need to calculate the sample standard deviation to answer the question, use the following formula:

\(s = \sqrt {{ \sum of x - \bar x}{(n - 1} }\)

There are 9 numbers, there, so n - 1 = 8

find the mean

\(\bar x\): 15 + 42 + 53 + . . . + 47 = 227. 227 / 9

x= 25.2

After that, deduct one from each number and then square the output, as seen here:

(15 - 25.2) = 104.0 (42 - 25.2)²

= 282.2 (53 - 25.2)²

= 772.8

After that, total up all of those values. The response to this, using this illustration as an example, is

\(x=\frac{ 2,535.2}{ 8}\)

x= 316.9.

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Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is product of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

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Answer:

Step-by-step explanation:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

Answer:do homework

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Edge2021

Using translation concepts, it is found that the value of h is 5. so option D is correct.

A translation can be represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

When the expression of function is such that it involves the input to be present as exponent of some constant, then such function is called exponential function.

In this problem, function f(x) is defined by:

\(f(x) = (2.5)^x\)

Function g(x) is defined by

\(g(x) = (2.5)^x-h\)

OR

\(g(x) = (2.5)^x + g\)

Since f(x) the y-axis at (0,1), while g(x) crosses it at (0,6), which means that g(x) is f(x) added to 5, hence h = 5.

Using translation concepts, it is found that the value of h is 5. so option D is correct.

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Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)  DE = 6/sin63 = 6.7

DF = 6/tan63 = 3.1

m∠E = 180 - 90 - 63 = 27°

2)  tan30 = 1/√3 = UV / (27√10)

UV = (27√10) / √3 · (√3/√3) = (27√30) / 3 = 9√30

3)  cosV = 3/8

cos⁻¹(3/8) = 68

m∠V = 68°

The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

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Answer:

x=6

step by step explanation:

2x=12

2/2x=12/2

x=6

Answer:

Below.

Step-by-step explanation:

10 rectangles, 2 are shaded in.

Fraction: 1/5

Decimal: 0.2

Percent: 20%

The assertion that there exists a normal subgroup N of G such that N is of finite index in G and [N ⊂ H] is true and can be proved if "G" is a group and "H" is a subgroup of finite index.

Given,

The statement, "G" is a group and "H" is a subgroup of finite index.

We have to prove that there exists a normal subgroup N of G such that N is of finite index in G and [N ⊂ H].

Group: A group is a finite or infinite collection of elements and a binary operation (referred to as the group operation) in discrete mathematics that together meet the four essential qualities of closure, associativity, identity, and inverse.

Subgroup: If a subgroup "H" also satisfies the four essential criteria of closure, associativity, identity element, and inverse, it is a subset of a group, let's say "G" [denoted by (H ≤ G)].

Here,

By left multiplication, the group G affects the collection of left co-sets (G/H).

Hence it induces the permutation representation [ρ:G→Sₙ], where

[n = |G : H|].

(A permutation representation is a group homomorphism, it should be noted.)

Now, let (N = kerρ) be the kernel of the homomorphism (ρ). Then [N◃G].

The quotient group G/N is isomorphic to a subgroup of Sn according to the first isomorphism theorem.

In particular, G/N is a finite group, hence the index [G:N] is finite.

Finally, we show that [N ⊂ H].

For any (x ∈ N) = [ker (ρ)], we have [x(gH) = gH] for any [g ∈ G].

In particular we have (xH = H),

Hence (x ∈ H).

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Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.

Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:

Total economic cost:

Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144

Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131

Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135

Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).

Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.  

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The probability of the event for the given odds in favor (4 to 7) is found as 4/11.

To continue solving, we must represent the ratio as a fraction.

Thus, we have the depiction shown below.

Odds ratio equals 4/7

We use the following equation to translate the aforementioned odd's expression into a probability expression.

This is displayed as

P = (Odds + 1)/(Odds).

Replace the unknown values in the equation above.

The following equation is what we have.

P = (4/7)/(4/7 + 1)

Analyze the amount

This results

P = (4/7)/(11/7)

Put the quotient in product form.

P = (4/7) * (7/11)

Evaluate

P = 4/11

Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.

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We have

Then we find the value in the table

ANSWER

c= 0.62

Answer:

44 in^2

Step-by-step explanation:

Area of rectangle = 5 x 10 = 50 in^2

High of trapezoid = 10 - 6 = 4 in

Area of trapezoid = (7+15) x 4 / 2 = 22 x 4 / 2 = 22 x 2 = 44 in^2

The probability of landing on the red shaded circle is 6/18

Probability simply measures the chances at which an event could occur in a sample or population.

Mathematically, Probability is calculated thus:

Here ,

P(red circle ) = 6/18

Therefore, the probability is 6/18

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The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.

To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.

Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).

The formula for sine is:

sin(angle) = opposite / hypotenuse

Rearranging the formula, we have:

hypotenuse = opposite / sin(angle)

In this case, the opposite side is the vertical distance, which is h.

So, the formula becomes:

hypotenuse = h / sin(angle)

To find h, we can use the formula for the length of the zip wire:

h = 25 * tan(angle)

Substituting this into the previous formula, we get:

hypotenuse = (25 * tan(angle)) / sin(angle)

Calculating the value, we have:

hypotenuse = (25 * tan(10°)) / sin(10°)

Using a calculator, we find:

tan(10°) ≈ 0.1763

sin(10°) ≈ 0.1736

Substituting these values, we can calculate the length of the zip wire:

hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters

Therefore, the length of the zip wire is approximately 25.35 meters.

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Answer:

one glass of milk = 15 carbs

one bar = 14 carbs

Step-by-step explanation:

let 'm' = one glass of milk

let 'b' = one snack bar

system of equations:

2m + 3b = 72

4m + 2b = 88

I used the elimination method and multiplied the 1st equation by -2

  -4m - 6b = -144

+  4m + 2b =  88

           -4b = -56

              b = 14

now solve for 'm'

2m + 3(14) = 72

2m + 42 = 72

2m = 30

m = 15

Answer:

The answers are b and c

Step-by-step explanation:

East Side is more consistent at winning.

East Side typically wins more debates per year than West Side.