Over the last few years, the Grand Canyon has had an average of 6.2 milion vitors cach year. During that pered, en verage of 12 pes per year have ded while waiting the per otte accidents and natural causes. Assuming these figures are current, what is the probably that a visitor to the Grand Canyon will be we visiting new and to eight decimal places.) Is your answer uripirical or theoretical empirical theoretical -12 Points) DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The ser um contains two blocks and ten brown ball The golden un contains five red brafour bathtub If I choose a ball on the silver um and ball the golden what is the probability that today Express your answer as a decimal rounded to decimal places

The quotient of 6/7 divided by 8 is 3/28.

To find the quotient of 6/7 divided by 8, we can use the division operation. The quotient represents how many times the divisor can be evenly divided into the dividend. In this case, the dividend is 6/7 and the divisor is 8.

To divide fractions, we multiply the dividend by the reciprocal of the divisor. The reciprocal of 8 is 1/8. So, we have \((6/7) \times (1/8).\)

To multiply fractions, we multiply the numerators together and the denominators together. Multiplying 6 and 1 gives us 6, and multiplying 7 and 8 gives us 56. Therefore,\((6/7) \times (1/8)\) equals 6/56.

Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2. Dividing 6 by 2 gives us 3, and dividing 56 by 2 gives us 28. Thus, the simplified fraction is 3/28.

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Answer:

c = 1

Step-by-step explanation:

Given

x² + 2x + c

To complete the square

add ( half the coefficient of the x- term )² to x² + 2x

x² + 2(1)x + 1

= (x + 1)²

Thus

x² + 2x + 1 = (x + 1)² ← a perfect square

with c = 1

Answer:

122/3 or 40.666667

Step-by-step explanation:

Answer:

40.6666667

Step-by-step explanation:

3050/75 = 40.666666

Answer:

1: 5/2 = 2.5 eggs

2: 25 1/3 bags of gravel

Step-by-step explanation:

The statement is proven true by induction: for any positive integer n, the sum of (2i - 1)³ from i = 1 to n is equal to n²(2n² - 1).

To prove the statement using mathematical induction, we need to establish two conditions: the base case and the inductive step.

Base Case:

Let's start with the base case, where n = 1.

When n = 1, we have p₁ ∑ (2i - 1)³ = 1³ = 1.

On the right-hand side, we have 1 * (2 * 1² - 1) = 1.

Since the statement holds true for n = 1, the base case is satisfied.

Inductive Step:

Next, we assume that the statement holds true for some positive integer k, i.e., pₖ ∑ (2i - 1)³ = k²(2k² - 1).

Now, we need to prove that the statement also holds for n = k + 1, i.e., pₖ₊₁ ∑ (2i - 1)³ = (k + 1)²(2(k + 1)² - 1).

Starting with the left-hand side:

pₖ₊₁ ∑ (2i - 1)³ = (pₖ ∑ (2i - 1)³) + (2(k + 1) - 1)³

                 = k²(2k² - 1) + (2k + 1)³ (using the inductive hypothesis)

                 = 2k⁴ - k² + 8k³ + 12k² + 6k + 1

Simplifying the right-hand side:

(k + 1)²(2(k + 1)² - 1) = (k² + 2k + 1)(2k² + 4k + 2 - 1)

                         = 2k⁴ + 4k³ + 2k² + 4k³ + 8k² + 4k + 2k² + 4k + 2 - k² - 2k - 1

                         = 2k⁴ + 8k³ + 12k² + 6k + 1

Comparing the left-hand side and right-hand side, we can see that they are equal.

Therefore, by the principle of mathematical induction, the statement is proven true for all positive integers n.

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Answer: You can get on the Amazon,Walmart, Michaels,Target,Office Depot

Think so if on Home depot

HOPE YOU GET YOR THINGS YOU ARE TRYING TO FIND

The test statistic is z = -1.60

To test the claim that the percentage of readers who own a personal computer is different from the reported percentage, we can use a hypothesis test. Let's define our null hypothesis (H0) and alternative hypothesis (H1) as follows:

H0: The percentage of readers who own a personal computer is equal to 34%.

H1: The percentage of readers who own a personal computer is different from 34%.

We can use the z-test statistic to evaluate this hypothesis. The formula for the z-test statistic is:

\(z = (p - P) / \sqrt_((P * (1 - P)) / n)_\)

Where:

p is the sample proportion (30% or 0.30)

P is the hypothesized population proportion (34% or 0.34)

n is the sample size (360)

Let's plug in the values and calculate the test statistic:

\(z = (0.30 - 0.34) / \sqrt_((0.34 * (1 - 0.34)) / 360)_\\\)

\(z = (-0.04) / \sqrt_((0.34 * 0.66) / 360)_\\\)

\(z = -0.04 / \sqrt_(0.2244 / 360)_\\\)

\(z= -0.04 / \sqrt_(0.0006233)_\)

\(z = -0.04 / 0.02497\\z = -1.60\)

Rounding the test statistic to two decimal places, the value is approximately -1.60.

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Hello there! :)

12+2c+6d-8c+d

Combine like terms:

2c-8c+d+6d+12

-6c+7d+12

Hope this helps!

~Just a determined gal

#CarryOnLearning

\(MysteriousNature :)\)

The simplified equation will be 12+7d-6c. By adding the same terms the equation can be simplified.

Simplification is to make something easier to do or understand and to make something less complicated.

The given equation is;

12+2c+6d-8c+d

By adding the same terms the equation can be simplified;

\(\rm 12+2c+6d-8c+d \\\\ 12+7d-6c\)

Hence the simplified equation will be 12+7d-6c.

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Answer:

can you put some context?

Step-by-step explanation:

Answer:

\(a_1 = 1\\d = 3\)

Step-by-step explanation:

The nth term of an arithmetic progression is \(a_n = a_1 + (n - 1)d\).
You are given that \(a_5 = 13\) and \(a_{11} = 31\).

Therefore, we can solve the following system of equations to get the first term, as well as the difference.

\(-\begin{cases}a_1 + 4d = 13\\a_1 + 10d = 31\end{cases}\\\\\to 6d = 18\\\to d = 3\\\\\text{Substitute d = 3 into one of the equations to find }a_1\text{:}\\a_1 + 4 \times 3 = 13\\a_1 + 12 = 13\\\to a_1 = 1\)

Answer:

Step-by-step explanation:

In the absence of additional information, will assume rotation is about the origin.

A 180° rotation about the origin has the equation

(x,y) => (-x,-y)

Therefore

R(-10, 5.6) => R'(10, -5.6)

S(0, 7) => S'(0, -7)

T(-6, -34) => T'(6, 34)

A tape diagram to represent 8-2+2 will be:

 +-----+-----+-----+-----+-----+-----+-----+-----+

 |     |     |     |     |     |     |     |     |

 +-----+-----+-----+-----+-----+-----+-----+-----+

  ^                                   ^

  |                                   |

  |                                   |

 8-2                                 +2

  |                                   |

  |                                   |

  v                                   v

 +-----+-----+                       +-----+

 |     |     |                       |     |

 +-----+-----+                       +-----+

    6                                 2

A tape diagram is a rectangular visual model resembling a piece of tape, that is used to assist with the calculation of ratios and addition, subtraction, and commonly multiplication.

In this diagram, the first segment with 8 boxes represents the starting quantity of 8. Then, we subtract 2 from that by crossing out 2 boxes, leaving us with 6. Finally, we add 2 by drawing a new segment of 2 boxes, bringing us to a total of 8.

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Answer:

  x = 16

Step-by-step explanation:

The two angles marked with x-terms are "alternate exterior angles", hence, congruent.

  8x -14 = 5x +34

  3x = 48 . . . . . . . . . add 14-5x

  x = 16

The point elasticity of demand (ϵ) can be calculated using the formula :

ϵ = (dq/dp) * (p/q)Given the demand function q = 5300 - 3p,

we can differentiate it with respect to p to find dq/dp :  dq/dp = -3

Substituting the given values p = 1600 and dq/dp = -3 into the formula, we get:

ϵ = (-3) * (1600 / (5300 - 3 * 1600))

ϵ = (-3) * (1600 / (5300 - 4800))

ϵ = (-3) * (1600 / 500)

ϵ = -9.6

The absolute value of ϵ is |ϵ| = 9.6. Since |ϵ| > 1, the demand is elastic. A demand is considered elastic when the absolute value of the elasticity is greater than 1.

Therefore, the point elasticity of demand is |ϵ| = 9.6 > 1, indicating that the demand is elastic. Hence, the correct answer is a. |ϵ| = 9.6 > 1 and demand is elastic.

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Answer: 97.7 F 32.54 F

Step-by-step explanation:

So the equation to go from Celsius to Fahrenheit is 9/5(C)+32

So it would be 9/5(36.5)+32=97.7 F

And 9/5(0.3)+32=32.54 F

The new mean is 97.7 F and new standard deviation is 32.54 C.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The average degree of variability in your data set is represented by the standard deviation. It reveals the average deviation of each score from the mean.

Given:

Mean = 36.5 C

Standard deviation = 0.3 C

Now, converting Celsius to Fahrenheit as

= 9/5(C)+32

So, the new mean is

=9/5(36.5)+32

=97.7 F

and, new standard deviation is

= 9/5(0.3)+32

=32.54 F

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The expression that matches the simplified form is 7x^5 - 6x + 5x^3 - x^2 + 4x. Option D.

To simplify the given expression, we can combine like terms by adding or subtracting coefficients of the same degree.

The given expression is:

3x^4 + 2x^3 - 5x^2 + 4x^2 + 6x - 2x - 3x + 7x - 3x^3

Combining like terms, we get:

(3x^4) + (2x^3 - 3x^3) + (-5x^2 + 4x^2) + (6x - 2x - 3x + 7x) - 3x

Simplifying further, we have:

3x^4 - x^3 - x^2 + 12x - 3x

Now, let's arrange the terms in descending order of their exponents:

3x^4 - x^3 - x^2 + 9x

Therefore, the simplified form of the given expression is:

3x^4 - x^3 - x^2 + 9x Option D is correct.

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Answer:

Use the graph to complete the statements.

The two variables are  

✔ bananas and days

✔ days

✔ bananas

✔ days

✔ bananas

Got it right lol uwu

The statement first "The number of bananas is the independent variable, and the cost in dollars is the dependent variable" is correct.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

here, we have,

On a coordinate plane, the points (1, 2), (2, 4), (3, 6), (4, 8), and (5, 10) are plotted.

We have:

The line goes through points (1, 0.27) and (2, 0.54).

The x-axis represents the independent variable

The y-axis represents the dependent variable.

Thus, the statement first "The number of bananas is the independent variable, and the cost in dollars is the dependent variable" is correct.

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Answer:

-11 F

Step-by-step explanation:

So we need to just add or decrease the temperature.

-5 + 14

9 - 20

-11

Answer:

-5 + 14 = 9

9 - 20 = -11

the answer is -11°f

c = 5j

c + j = 18

5j + j = 18

6j = 18

j = 3

c = 5(3) = 15

Answer: Carole is 15, Joe is 3

Answer:

Joe is 3 and Carole's age is 15

Step-by-step explanation:

Joe: x

Carole: 5x

5x+x=18

6x=18

x=3

The solution is given below.

In maths a bar model is a pictorial representation of a problem or concept where bars or boxes are used to represent the known and unknown quantities. Bar models are most often used to solve number problems with the four operations – addition and subtraction, multiplication and division.

here, we have,

"5y=95"

"6b=12"

"168/c=8"

" v / 7=5"

so, the bar model ,

y = 95/5

  =19

b= 12/6

 = 2

c = 168/8

 = 21

v = 5* 7

  = 35

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The value of the function f(n)=5n+8 for f(4) will be 28.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given function is f(n)=5n+8. The value of the function at equal to 4 will be calculated as below:-

f(n)=5n+8

f(4) = ( 5 x 4 + 8 )

f(4) = 20 + 8

f(4) = 28

Therefore, the value of the function f(n)=5n+8 for f(4) will be 28.

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A. The equations for the amounts of money Lyle and Shaun have in their accounts are represented as:

f(x) = 20x + 100

g(x) = 10x + 500

B. When f(x) = g(x), x = 40.

A linear equation can be written in slope-intercept form y = mx + b. Here, the value of m is the unit rate or slope, while the value of b is its y-intercept or initial value.

Part A:

Equation for Lyle:

y-intercept / initial value (b) = $100

Slope / unit rate (m) = $20

To write the equation, substitute m = 20 and b = 100 into f(x) = mx + b:

f(x) = 20x + 100.

Equation for Lyle:

y-intercept / initial value (b) = $500

Slope / unit rate (m) = $10

To write the equation, substitute m = 10 and b = 500 into g(x) = mx + b:

g(x) = 10x + 500.

Part B: To solve the system, we would do the following:

20x + 100 = 10x + 500

20x - 10x = -100 + 500

10x = 400

x = 400/10

x = 40

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To graph the vertex of a function, first identify the vertex by calculating the x-coordinate using the formula x = -b/(2a), where a and b are the coefficients of the quadratic equation.

Then, plug the x-coordinate into the equation and solve for y to get the y-coordinate of the vertex. Finally, plot the coordinates on the graph to get the vertex of the function.

Graphing the vertex of a function requires a few steps. First, the equation of the function must be written in standard form, which is ax^2 + bx + c = 0. Next, the x-coordinate of the vertex must be calculated by using the formula x = -b/(2a).

Then, the x-coordinate is plugged into the equation and solved for y to get the y-coordinate of the vertex. Finally, both coordinates are plotted on a graph to get the vertex of the function. This process can be used to quickly graph the vertex of any quadratic equation.

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\(\huge\boxed{6.37500}\)

Explanation...

Let's divide the numerator by the denominator.

\(\boxed{3\;Divided\;by\;8=0.375}\)

Now, lets add the whole number (6) to 0.375.

\(\boxed{6+0.375=6.37500}\)

That's your final answer. (Above)

Answer:

perimeter is 20 cm

9514 1404 393

Answer:

  UW = 24

Step-by-step explanation:

Midsegment XY is half the length of base UW, so we can write ...

  UW = 2·XY

  73 -7x = 2(54 -6x) . . . . substitute the given expressions

  73 -7x = 108 -12x . . . . . eliminate parentheses

  5x = 35 . . . . . . . . . . . . . add 12x-73

  x = 7 . . . . . . . . . . . . . . . divide by 5

Now, we can find UW:

  UW = 73 -7x = 73 -7·7

  UW = 24

Answer:

|x| = 8

Answer: x = 8, -8

Step-by-step explanation:

| | this symbol represents absolute value. When you remove absolute value it creates a ± sign on the opposite side.

x = ± 8

This means x = 8 and x = -8

The solutions are 8 and -8.

The equation of the line through the points (0, 9) and (3, 0) is y = -3x + 9.

To find the equation of a line passing through two given points, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is one of the points on the line and m is the slope of the line.

First, we calculate the slope (m) using the formula: m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two given points. Substituting the values (0, 9) and (3, 0), we get m = (0 - 9)/(3 - 0) = -9/3 = -3.

Next, we choose one of the points, let's say (0, 9), and substitute its coordinates into the point-slope form: y - 9 = -3(x - 0).

Simplifying the equation, we get y - 9 = -3x, or rearranging it, y = -3x + 9.

Therefore, the equation of the line passing through the points (0, 9) and (3, 0) is y = -3x + 9.

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=========================================================

Explanation:

For any right triangle, the sine of an acute angle is equal to the opposite over hypotenuse.

So we can say

sin(angle) = opposite/hypotenuse

sin(A) = 3/5

Note how the side that's 3 units long is as far away from angle A as possible, which is why it's considered the opposite side. The hypotenuse 5 is the longest side of the triangle. The hypotenuse is always the longest side, and always opposite the 90 degree angle.