Elena walked 12 miles. Then she walked 0.25 that distance. How far did she walk all together? Select all that apply.

Answer:

9 / 100 ; 0.09

Step-by-step explanation:

From the line plot given :

The number of unlabeled ticks marks between any two labeled tick marks can be obtained by :

(Difference between any two successive labeled tick marks / number of tick marks)

Picking the labeled tick marks, 0 and 1/10

(1/10 - 0) / 10

1 / 10 ÷ 10

1/ 10 * 1 / 10 = 1 / 100

To find the marked point : (this is tick mark 9 from 0) ;

Number of ticks * distance between ticks

Location of marked tick = 1 / 100 * 9 = 9 / 100

Decimal equivalent = 9/100 = 0.09

Answer:

\(21\frac{7}{8} \)

Step-by-step explanation:

\(12.5\% = \frac{1}{8} \)

\(25 \times \frac{1}{8} = \frac{25}{8} = 3 \frac{1}{8} \)

\(25 - 3 \frac{1}{8} = 24 \frac{8}{8} - 3 \frac{1}{8} =21\frac{7}{8} \)

Question: The heights of adult men can be approximated as normal, with a mean of 70 and a standard deviation of 3, the probability that a man is shorter than 65 inches is approximately 0.0475 or 4.75%.

Let X be the height of an adult man, which follows a normal distribution with mean μ = 70 and standard deviation σ = 3. Then, we need to find the probability that a man is shorter than some height, say x₀. We can write this probability as P(X < x₀).To find P(X < x₀), we need to standardize the random variable X by subtracting the mean and dividing by the standard deviation. This yields a new random variable Z with a standard normal distribution. Mathematically, we can write this transformation as:Z = (X - μ) / σwhere Z is the standard normal variable.

Now, we can find P(X < x₀) as:P(X < x₀) = P((X - μ) / σ < (x₀ - μ) / σ) = P(Z < (x₀ - μ) / σ)Here, we use the fact that the probability of a standard normal variable being less than some value z is denoted as P(Z < z), which is available in standard normal tables.

Therefore, to find the probability that a man is shorter than some height x₀, we need to standardize the height x₀ using the mean μ = 70 and the standard deviation σ = 3, and then look up the corresponding probability from the standard normal table.In other words, the probability that a man is shorter than x₀ can be expressed as:P(X < x₀) = P(Z < (x₀ - 70) / 3)We can now use standard normal tables or software to find the probability P(Z < z) for any value z.

For example, if x₀ = 65 (i.e., we want to find the probability that a man is shorter than 65 inches), then we have:z = (65 - 70) / 3 = -1.67Using a standard normal table, we can find that P(Z < -1.67) = 0.0475. Therefore, the probability that a man is shorter than 65 inches is approximately 0.0475 or 4.75%. Thus, P(X < 65) = 0.0475 or 4.75%. Therefore, the probability that a man is shorter than 65 inches is approximately 0.0475 or 4.75%.

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Answer:

x^2-4-8

Step-by-step explanation:

x^2-4(x+2)

x^2-4x-8

a. Inductive Reasoning: The statement "I see fireflies in my backyard every summer" is based on observations and generalizing from past experiences.

b. Deductive Reasoning: The statement "If A = B and B = A" is an example of a logical deduction.

a. Inductive Reasoning: The statement "I see fireflies in my backyard every summer" is an example of inductive reasoning. By observing fireflies in the backyard during past summers, a pattern or trend is recognized. This pattern leads to the generalization that fireflies are likely to appear in the backyard during summer. Inductive reasoning involves drawing conclusions based on repeated observations and generalizing from those observations to make a prediction about future events. Therefore, when stating, "This summer, I will probably see fireflies in my backyard," it is an application of inductive reasoning, relying on the assumption that the pattern observed in the past will continue in the future.

b. Deductive Reasoning: The statement "If A = B and B = A" exemplifies deductive reasoning. Deductive reasoning relies on established rules, principles, or premises to draw logical conclusions. In this case, the statement refers to the concept of equality in mathematics. The principle of equality states that if A is equal to B, and B is equal to A, then they are interchangeable and represent the same value. Deductive reasoning allows us to deduce that A and B are equivalent based on the given premise. It involves applying logical reasoning and established principles to arrive at a specific conclusion.

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Answer:

3c+ (25x)/(2) + 2

Answer:

$27,400.

Step-by-step explanation:

We know that the salesman makes $25,000 annually plus 6% commission on his total sales.

We also know that he sold $40,000 worth of trampolines this year.

So we can find out his commission by multiplying the value of sales with 6% commission rate.

Commission = 0.06 * $40,000 = $2400

To find out his total earnings we need to add his annual salary with commission earned.

Total earnings = $25,000 + $2400 = $27,400

So the salesman's total earnings for this year is $27,400.

Answer:

-78.85

Step-by-step explanation:

Using Order of Operations (PEDMAS):

23.15 – [ 115 + ( 12 - 25)]

= 23.15 – [ 115 + (-13)]

= 23.15 – [ 115 - 13]

= 23.15 -  102

= -78.85

Answer:

l

Step-by-step explanation:

Answer:

Miss Bloom spent $48.47 in total

Step-by-step explanation:

turn 7% into a decimal --> 0.07

multiply the cost of art supplies by the tax % (in decimal form)

45.30(0.07) = 3.171

add 3.171 to the original cost of art supplies

45.30 + 3.171 = 48.471

round to the nearest hundreths place (since money typically only has 2 decimal places)

48.471 --> 48.47

therefore, miss bloom spent $48.47 in total

There are 5040 possible combination of 7 letter words using 3 vowels and 4 consonants.

We know that the word must have 4 consonants and 3 vowels. We have the following vowels in "mathisfun" : i, a, and u.

We have 7 letters that can be used as consonants: m,t,h,s,f,n.

First we need to find the number of ways to choose the 4 consonants out of 7 possible letters, which is 7C4 = 35.

Then we need to find the number of ways to arrange the 4 consonants and 3 vowels, which is 4!*3! = 144

Finally, we multiply those two values together: 35 * 144 = 5040.

So there are 5040 7 letter words that can be made from "mathisfun" if each word must have 4 consonants and 3 vowels.

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Answer:

The answer is no

Step-by-step explanation:

Is because if we divide 136 by 5 is gonna give us 27.2 and we don’t want the decimal. So we can’t divide 136 by 5. Another method is you can you at the last digit in this case is 6, six is not in the table of 5 so always the answer is going to be in decimal. 136\(:\)5= 27.2

Applying combinatorics without repetition, the championship has 18 participating teams (n = 18). A solution algorithm is shown to describe the steps for the calculation.

Definir n,fr,r,fn,fnr,nCr Como Real

fr <- 1

n <- 2 // Unknown variable (number of teams)

r <- 2 // Each match consists of 2 team

Para f<-r Hasta 1 Con Paso -1 Hacer

 fr <- fr*f

FinPara

Repetir

 fn <- 1

 fnr <- 1

 Para f<-n Hasta 1 Con Paso -1 Hacer

  fn <- fn*f

 FinPara

 Para f<-n-r Hasta 1 Con Paso -1 Hacer

  fnr <- fnr*f

 FinPara

 nCr <- fn/(fr*fnr)

 Escribir '**************'

 Escribir 'n! = ',fn

 Escribir 'r! = ',fr

 Escribir '(n-r)! = ',fnr

 Escribir 'nCr = ',nCr

 n <- n+1

Hasta Que nCr=153

Escribir 'Number of teams participating in the championship:: ',n-1

FinAlgoritmo

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The solution of the given differential equation is y = c1e^(-t) + c2e^(-7t).To determine the solution of the given differential equation, we can follow the steps below.

The auxiliary equation (characteristic equation) is given by r² + 8r + 7 = 0.Using the quadratic formula, we can find the roots as follows:

r = (-b ± √(b² - 4ac))/2a

where a = 1,

b = 8 and

c = 7.

r = (-8 ± √(8² - 4(1)(7)))/2(1)

r = (-8 ± √(64 - 28))/2

r = (-8 ± √36)/2

r = (-8 ± 6)/2

r1 = -1,

r2 = -7

The general solution is given by y = c1e^(-t) + c2e^(-7t)

where c1 and c2 are constants of integration. Show all calculations in support of your answers.Hence, the solution of the given differential equation is

y = c1e^(-t) + c2e^(-7t).

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Antarctica is roughly a semicircular, with a radius of 2.00×103 km. The average thickness of the ice cover is 3.00×103 m. How many cubic centimeters of ice does Antarctica contain is Antarctica is roughly semicircular with a radius of 2.00 × 103 km, with an average ice cover thickness of 3.00 × 103 m. In cubic centimeters,  (3.14 × 2.00×106 km^2) x (3.00×103 m) =6.0114 × 1019 cm3.

the total ice content of Antarctica may be estimated. We have to change the measurement system from kilometers to centimeters and from meters to centimeters, and then we can do the arithmetic calculation. We know that the radius of the earth is 6371 km.

According to the formula 2πr, the circumference of the earth is (2 × 3.14 × 6371) km = 40075.4 km.Since the Antarctic is a semicircle, half of its perimeter would be 20,038 km long. The ice cover's total surface area would be given by multiplying this by the ice cover's average thickness (3.00 × 103 m).

As a result, the total ice volume in cubic meters would be given by multiplying the ice cover's surface area by its thickness. As a result, we have: V = surface area x thickness= (20,038 × 103 m) x (3.00 × 103 m)= 6.0114 × 1010 m3We may now convert cubic meters to cubic centimeters since we want the solution in cubic centimeters.= (6.0114 × 1010) m3 x (100 × 100 × 100) cm3/m3= 6.0114 × 1010 x 1.00 × 109 cm3= 6.0114 × 1019 cm3.

Therefore, the total ice content of Antarctica is 6.0114 × 1019 cm3. This is how we can determine the cubic centimeters of ice that Antarctica contains.

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Answer:

15 = 2x - 3y

Step-by-step explanation:

We have the two points P1(3,-3) and P2(9,1).

First, calculate the slope between those points:

slope \(= \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{9 - 3} = \frac{4}{6} = \frac{2}{3}\)

Now simply move 3 steps from (3,-3) towards the y-axis to get the intersection with the y-axis (each step reduces x by 1 and applies the slope to the y-value):

(3,-3)

---> (2, -3 - (2/3)) = (2,-3 2/3)

---> (1, (-3 2/3) - 2/3) = (1, -4 1/3)

---> (0, (-4 1/3) - 2/3) = (0,-5)

This tells us, that our line intersects the y-axis at (0,-5).

The general form of a line is f(x) = <SLOPE> * x + <Y-VALUEATXEQUALSZERO>.

In our case: f(x) = y = (2/3)x -5.

To get it into the correct form, we simply subtract y from both sides and get:

0 = (2/3)x - y - 5

To get only integers just multiply everything with 3 and add 15 and get:

15 = 2x - 3y, which fulfils the form asked for in the problem.

Answer:

3. 18 + 18 + 7 + 7 = 50

4. 120 degrees

Step-by-step explanation:

(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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There is a 15% chance that the Lions will score less than 2 goals in a given game.

The probability distribution of a random variable is a listing of all the possible outcomes of an experiment and the associated probabilities.

In probability theory, a probability distribution is a mathematical function that characterizes the likelihood of the possible outcomes of a random variable. In the case of the Lions soccer team, we are given the probability distribution table, which provides the probabilities associated with the possible outcomes.

For example, the probability that the Lions will score 0 goals in a given game is 0.05, the probability that they will score 1 goal is 0.10, and so on. The distribution of the probabilities is what is known as a discrete probability distribution.

The question asks for the probability that in a given game the Lions will score less than 2 goals.

Ee add the probabilities of the Lions scoring 0 and 1 goals.

Therefore:

P(x < 2) = P(x = 0) + P(x = 1)

= 0.05 + 0.1

= 0.15

In other words, there is a 15% chance that the Lions will score less than 2 goals in a given game.

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Proof that one million boards aren't enough. .Therefore, one million boards are not enough to reach (2023, 2023).

A total of 2023 boards are needed to reach (2023, 2023).

This problem is a mathematical puzzle that involves traversing a hazardous area to reach a specific point using a limited number of resources.

The problem is set in the Cartesian plane, where the first quadrant (i.e., the region where both x and y coordinates are positive) is covered with lava, making it impossible to traverse.

Let's assume that we can reach (2023, 2023) with one million boards. We know that each board can cover a distance of at most 1. Therefore, the total distance we can cover with one million boards is at most one million. However, the distance between the origin (0, 0) and (2023, 2023) is ✓2023² + ✓2023² = 2855.9

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The confidence interval will range from 0.365 and 0.675.

To construct the confidence interval, we can use the following formula:

CI = p ± zα/2  √(p(1-p)/n)

where:

p = sample proportion = 0.52

zα/2 = critical value for the 99% confidence level = 2.576

n = sample size = 50

Plugging in the values, we get:

CI = 0.52 ± 2.576 x [√(0.52(1-0.52)/50)]

CI = 0.52 ± 0.155

CI = (0.365, 0.675)

Therefore, we can say with 99% confidence that the true proportion of U.S. workers who have negotiated a pay raise is between 0.365 and 0.675.

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Answer:

54°

Step-by-step explanation:

$800 is 360° of a pie chart

$120 is ?° of the pie chart

?° = (360*120)/800 = 54°

*if you need the answer to be in radiants

(54*π) /180 = 0.942478 rad

Step-by-step explanation

The area of the surface obtained by rotating the curve y=sin(2x) about x-axis from x=0 can be found using the formula 2π ∫ [a,b] f(x) √(1+[f'(x)]^2) dx, where a=0, b=π/2 and f(x)=sin(2x). Here, f'(x)=2cos(2x). Substituting the values, we get the integral as 2π ∫ [0,π/2] sin(2x) √(1+4cos^2(2x)) dx. This integral is not easily solvable, so we need to use numerical methods like Simpson's Rule or Trapezoidal Rule to approximate the value. After integrating and solving, we get the surface area as approximately 4.231 units^2.

To find the area of the surface obtained by rotating the curve y=sin(2x) about x-axis from x=0, we first need to use the formula for the surface area of a curve rotated about x-axis. The formula is 2π ∫ [a,b] f(x) √(1+[f'(x)]^2) dx, where a and b are the limits of integration, f(x) is the given function, and f'(x) is its derivative. Here, a=0, b=π/2 and f(x)=sin(2x), so f'(x)=2cos(2x).

Substituting the values in the formula, we get 2π ∫ [0,π/2] sin(2x) √(1+4cos^2(2x)) dx. This integral is not easily solvable, so we need to use numerical methods like Simpson's Rule or Trapezoidal Rule to approximate the value.

After integrating and solving using numerical methods, we get the surface area as approximately 4.231 units^2.

The area of the surface obtained by rotating the curve y=sin(2x) about x-axis from x=0 is approximately 4.231 units^2. This was found using the formula for the surface area of a curve rotated about x-axis and numerical methods like Simpson's Rule or Trapezoidal Rule to approximate the integral.

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The statement (D) "the fewest students prefer black Model A1 calculators" is correct.

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

There is the fewest value is 0.05

More students prefer Model C3 calculators than Model A1 calculators, mathematically,

0.30 > 0.45 (false)

More students prefer black calculators than white calculators, mathematically,

0.35 > 0.65 (false)

Similarly, statement third is also false.

Thus, the statement (D) “the fewest students prefer black Model A1 calculators” is correct.

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The minimum y-value after which the exponential function will always be greater than the linear function is y = 4.

How do functions work?

A law relating two dependent and independent variables is known as a function.

An illustration of a linear function is

y =mx+c

and represents the exponential function as follows:

y = aˣ

By looking at the graph, one may identify the lowest y-value after which the exponential function will always be bigger than the linear function.

When y = 4, they are equal, and from that point on, the linear function's value exceeds that of the exponential function.

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The direction of the cross product is perpendicular to both of the vectors being multiplied. So, the answer to the question of what is the direction of the cross product could be any of the six options provided (x direction, -x direction, y direction, -y direction, z direction, -z direction), depending on the orientation of the vectors being multiplied.

The direction of the cross product is determined by the right-hand rule. When you have two vectors, A and B, the cross product (A x B) will be perpendicular to both A and B in a third direction. To find this direction, point your fingers in the direction of vector A, and then curl them towards vector B. Your thumb will point in the direction of the cross product. The options you provided (x, -x, y, -y, z, -z) depend on the specific vectors you are working with. In general, the cross product direction will be in the z direction or -z direction for vectors lying in the xy plane.

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Using the Factor Theorem, the length of one side of the garden is:

(3x - 4) feet.

The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:

\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)

In which a is the leading coefficient.

The area of a rectangle is given by the multiplication of it's dimensions. In this problem, it is given by:

A = 9x² - 24x + 16.

The root of 9x² - 24x + 16 = 0 is x = 4/3 with multiplicity 2, hence:

\(x_1 = x_2 = \frac{4}{3}\)

Hence the area can be written as:

\(A = 9\left(x - \frac{4}{3}\right) \times \left(x - \frac{4}{3}\right)\)

Then, to find one side:

9(x - 4/3) = 9x - 12 = 3(3x - 4).

Hence (3x - 4) feet is one side.

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Answer:

55 degrees

Step-by-step explanation:

The total degrees of a triangle is 180 so when you add angle B (83 degrees) and angle C (42 degrees) you get 125 degrees. 180-125=55

Answer:
✔ 55°

--------------------------------

The measure of angle B is 83 degrees, and the measure of angle C is 42 degrees.

Triangle B C D.

What is the measure of angle D in degrees?

41°

45°

✔ 55°

125°

Answer:

between 6 and 7

hope it helps you budy

Answer:

6 and 7

Step-by-step explanation:

Given that the square root of 40 is 6.32..., the decimal is between 6 and 7.