Solve this system of equations for x using the addition method. (Must show steps of addition method to get credit. Do not solve using the substitution method.)

Answer:

12 as. cm that's the answer

Given that the ball is white, the probability that it was taken from Jar 3 is 1/5, or 0.2. Given that the ball is white, there is a 20% likelihood that it was selected from Jar 3.

We must apply Bayes' theorem in order to determine the likelihood that the ball was taken from Jar 3 given that it is white. Let J stand for the scenario in which Jar 3 is chosen, and W for the scenario in which a white ball is drawn. Next, we have:

P(W | J) * P(J) / P = P(J | W) (W)

where P(J) is the prior probability of choosing Jar 3 (1/6), P(W) is the probability of drawing a white ball, and P(W | J) is the probability of drawing a white ball provided that Jar 3 is chosen.

We must apply the law of total probability to determine P(W):

P(W) is equal to P(W | J1) * P(J1), P(W | J2) * P(J2), and P(W | J3) * P. (J3)

where P(W | J1) represents the likelihood that a white ball will be drawn if Jar 1 is chosen (which is 1/2), P(W | J2) represents the likelihood that a white ball will be drawn if Jar 2 is chosen (which is 2/3), and P(W | J3) represents the likelihood that a white ball will be drawn if Jar 3 is chosen (which is 1/2).

Now that the values have been inputted, we can calculate:

P(W) = (1/2 * 1/2) + (2/3 * 1/3) + (1/2 * 1/6) = 5/12

P(J | W) = (1/2 * 1/6) / (5/12) = 1/5

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Answer:

2,118.01

Step-by-step explanation:

Answer:

30% i think

Step-by-step explanation:

Answer:

The given polynomial already has two terms that can be factored out:

9x^2y^6 - 25x^4y^8 = (3xy^3)^2 - (5x^2y^4)^2

Now we have a difference of squares:

= (3xy^3 - 5x^2y^4)(3xy^3 + 5x^2y^4)

Therefore, 9x^2y^6 - 25x^4y^8 can be rewritten as the product of (3xy^3 - 5x^2y^4) and (3xy^3 + 5x^2y^4).

Answer: The answer would be   (3xy^3-5x^2y^4)(3xy^3+5^2y^4)

(C)

Step-by-step explanation: Cant explain how to but for a quick answer it is C, and you can check the image for proof.

Answer: The radius of the circle is 5 3/8 inches.

Step-by-step explanation:

The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:

10 3/4 = (10 × 4 + 3)/4 = 43/4

So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:

r = (43/4) ÷ 2 = 43/8

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:

r = 43/8 = 5 3/8

Therefore, the radius of the circle is 5 3/8 inches.

Answer:5 3/4

Step-by-step explanation:

10 3/4 * 1/2

1/2 * 43/4 = 43/8

8/43=5 3/4

The answer of the given question based on  regular octagon ,the area of the regular octagon with center O is approximately 232.98 square units.

Area is  measure of  amount of space inside  2-dimensional figure or shape, usually measured in square units like square centimeters or square meters. It is calculated by multiplying  length and  width of the figure or a shape.

To find the area of a regular octagon, we need to use the following formula:

A = 2(1 + √2) × s²

Since O is the center of the octagon, we can draw lines from O to each vertex of the octagon. This will divide the octagon into 8 congruent isosceles triangles.

Let's call the length of each side of the octagon "s". Then the base of each triangle will also be "s". We can use the Pythagorean theorem to find the length of the other sides of the triangle:

s²+ s² = (2s)²/2

2s² = 4s² - 4s²/2

2s² = 2s²/2

s² = s²/2

s = √2s/2

Now we can substitute this value of s into the formula for the area of the octagon:

A = 2(1 + √2) × s²

A = 2(1 + √2) × (√2s/2)²

A = 2(1 + √2) × 2s²/4

A = (1 + √2) × s²/2

A = (1 + √2) × (17/2)²/2

A ≈ 232.98 square units

Therefore, the area of the regular octagon with centre O is approximately 232.98 square units.

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Answer:

If Robin was given a $40 monthly allowance. She wants to go to the movies as many times as possible and have at least $12.50 left at the end of the month to go to a concert. A movie ticket costs $5. Then she can go six times to the movies.

Step-by-step explanation:

Two or more expressions with an Equal sign is called as Equation.

Given,

Robin was given a $40 monthly allowance.

She wants to go to the movies as many times as possible and have at least $12.50 left at the end of the month to go to a concert.

The amount spent on movies

40-12.5

$27.5

A movie ticket costs $5.

We need to find how many times can she go to the movies.

To find this we need to divide $27.5 by 5

$27.5/5=5.5

Robin can go 6 times to the movies.

Answer:

Karen got $8.00 per hour for babysitting. Find x, the amount she was paid for 8 hours of babysitting.

Step-by-step explanation:

so since the squared variable is the "x", we're looking at a vertical parabola, and its axis of symmetry will be at the x-coordinate for its vertex, let's find its vertex then

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+31} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{ 12}{2(1)}~~~~ ,~~~~ 31-\cfrac{ (12)^2}{4(1)}\right) \implies \left( - \cfrac{ 12 }{ 2 }~~,~~31 - \cfrac{ 144 }{ 4 } \right) \\\\\\ \left( -6 ~~~~ ,~~~~ 31 -36 \right)\implies (\stackrel{ x }{-6}~~,~-5)\hspace{5em}\stackrel{ \textit{axis of symmetry} }{x=-6}[/tex]

Answer:

• Triangle A: Side lengths of 5, 3, and 4. This is an acute triangle, as all three angle measurements are less than 90°.

• Triangle B: Side lengths of 12, 7, and 15. This is an obtuse triangle, as one angle measurement is greater than 90°.

• Triangle C: Side lengths of 8, 8, and 8. This is an equilateral triangle, as all three sides and all three angle measurements are equal

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Dan's average speed score for the season is -1.

What is the arithmetic operations?

Arithmetic operations are mathematical operations that involve manipulating numbers to perform calculations. The four basic arithmetic operations are addition, subtraction, multiplication, and division.

To find Dan's average speed score for the season, we need to add up all his scores and divide by the total number of scores. We can do this as follows:

-1 + (-3) + 1 + (-1) + (-2) + 0 = -6

Dan's total score for the season is -6. To find his average score, we need to divide this total by the number of scores, which is 6 in this case:

-6 / 6 = -1

Hence, Dan's average speed score for the season is -1.

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Step-by-step explanation:

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. In this case, the circumference of the circular track is 0.4 mile, which is equal to 2112 feet (0.4 x 5280 = 2112).

Therefore, we can write the equation:

2112 = 2πr

Solving for r, we get:

r = 2112 / (2π)

r ≈ 336.31 feet (rounded to the nearest hundredth)

Therefore, the radius of the track, in feet, is approximately 336.31 feet. The closest option to this answer is 336.31 feet.

Answer:

334.31

Step-by-step explanation:

please give brainliest

The portfolio weight of Stock A is 0.625 for the given situation.

The percentage of a portfolio's investments that are assigned to each asset or security is shown by the portfolio weights. Investors can meet their chosen risk and return objectives by varying the weights of various assets in their portfolios. Portfolio weights are a key component of asset allocation and portfolio optimization methodologies since they are used to determine the expected return and risk of a portfolio.

Let w be the weight (proportion) of Stock A in the portfolio.

The weight of Stock B would be (1-w).

Given that, the portfolio has an expected return of 10.2 percent.

0.102 = w(0.117) + (1-w)(0.083)

w = (0.102 - 0.083)/(0.117 - 0.083) ≈ 0.625

Hence, the portfolio weight of Stock A is 0.625 for the given situation.

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Answer:

Step-by-step explanation:

catss

By performing subtraction we know that the farmer sold 4.2 kilograms of apples in the market.

One of the four operations used in mathematics, along with addition, multiplication, and division, is subtraction.

Removal of items from a collection is represented by the operation of subtraction.

For instance, in the following image, there are 5 2 peaches, which means that 5 peaches have had 2 removed, leaving a total of 3 peaches.

Subtraction in mathematics is the process of subtracting one integer from another. In other words, the result of subtracting two from five is three. After addition, subtraction is usually the second operation you learn in math class.

So, to find the weight of apples, perform subtraction as follows:

= 6.7 - 2.5

= 4.2 kilograms

Therefore, by performing subtraction we know that the farmer sold 4.2 kilograms of apples in the market.

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Answer:6

Step-by-step explanation:

Answer:

3+3=6

Step-by-step explanation:

Answer: The word "addressee" has 8 letters. To find the number of arrangements that can be made by taking 4 letters from these 8 letters, we can use the formula for combinations, which is:

n C r = n! / (r! * (n-r)!)

where n is the total number of items, r is the number of items to be selected, and ! represents the factorial function.

In this case, we want to select 4 letters from the 8 letters in "addressee", so n = 8 and r = 4. Substituting these values into the formula, we get:

8 C 4 = 8! / (4! * (8-4)!)

= (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / [(4 * 3 * 2 * 1) * (4 * 3 * 2 * 1)]

= 70

Therefore, there are 70 different arrangements that can be made by taking 4 letters from the letters of the word "addressee".

Step-by-step explanation:

The monthly cost for an HCF of 24 will be $39.13.

In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. An expression can consist of variables, constants, and operators such as addition, subtraction, multiplication, and division.

Since the monthly water bill is a linear function of the amount of water used, we can use the point-slope form of a linear equation to write an equation for the line. Let y be the monthly cost (in dollars) and x be the amount of water used (in HCF). Then the equation of the line is:

y - 49.58 = 1.65(x - 21)

Simplifying this equation, we get:

y = 1.65x - 13.57

This means that the monthly cost (y) is equal to 1.65 times the amount of water used (x) minus a constant term of $13.57.

To find the monthly cost for 24 HCF, we simply substitute x = 24 into the equation we just found:

y = 1.65(24) - 13.57

y = 39.13

Therefore, the monthly cost for 24 HCF is $39.13.

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Step-by-step explanation:

this (outside) angle of depression is equal to the inner angle at P.

because the line of sight from the helicopter to P is like the diagonal in a rectangle spring the rectangle into 2 equal right-angled triangles (one of just rotated by 180° of the other).

so, the angle at P is 30°.

1400 ft = sin(30)×radius

radius being the line of sight from the helicopter to P.

we need to calculate the radius, because we need it for d :

d = cos(30)×radius

radius = 1400/sin(30) = 2800 ft

d = cos(30)×2800 = 2,424.871131... ft ≈ 2,425 ft

Answer:

Step-by-step explanation:

The Pythagorean Theorem states that: a^2+b^2=c^2.

Therefore 6^2+8^2= c^2

36+64= 100^2

Then square root that. The square root of 100 is 10.

The length of XY is 6. The length of XZ is 10. The difference is 4 units

The solutions to the inequality s < 30 are 20%, 17%, 29 and one-half percent (which is equivalent to 29.5%), and 1.5%.

The disparity that best illustrates the phrase "the possibility of snow is less than 30%" is:

s < 30

This implies that the inequality can be solved for any value of s that is less than 30.

We must compare the numbers to 30 and see if they are less than it in order to identify which ones are the answers to the inequality.

The answer is yes because 20% = 0.2 is less than 30%.

It is not a solution because 35% = 0.35 is not less than 30%.

The answer is yes because 17% = 0.17 is less than 30%.

It is not a solution because 30% = 0.3 is not less than 30%.

That is a solution since 29 and a half percent = 0.295 is less than 30%.

The answer is yes because 1.5% = 0.015 is less than 30%.

As a result, the answers to the inequality s 30 are 20%, 17%, 29 and a half percent (or 29.5%), and 1.5 percent.

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Answer:

giacsybsc

Step-by-step explanation:

vdgsivetshdvx

Answer:

20x + 6x + 2xc

Step-by-step explanation: the only thing you need to do is simply just use the distribute the 2x t every number

Answer:

a no

b. no

c.no

d. yes

Step-by-step explanation:

The number of terms in the expression is 2

From the question, we have the following:

20 - (4 to the second power divided by 2)

Express properly

so, we have the following representation

20 - (4^2/2)

A term is a mathematical expression that can be added or subtracted to form a larger expression.

For example, in the expression 3x + 2y - 5, each of the three parts (3x, 2y, and -5) is a term.

Using the above definition, we have the terms to be

20 and (4^2/2) i.e. 2 terms

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The answer of the question based on distance and width of the canyon is width of the trapezoid is approximately 67.43 feet.

A trapezoid is  quadrilateral ( four-sided polygon) that has two parallel sides and two non-parallel sides. The parallel sides are referred to as  bases of the trapezoid, while the non-parallel sides are called  legs. The distance between  two parallel sides is called  height or altitude of trapezoid.

The figure in the provided link is a trapezoid with parallel sides AB and CD, and non-parallel sides BC and AD.

Since AB and CD are parallel, we know that the length of the altitude is the same as the distance between them.

Let's call the width of the trapezoid "x". Then, we can use the following equation using the Pythagorean Theorem:

(AC)^2 = (BC)^2 + (AB - CD + 2x)^2

where AC is the diagonal connecting points A and C.

Substituting the given values, we get:

(AC)^2 = (35)^2 + (35 - 80 + 2x)^2

(AC)^2 = 1225 + (2x - 45)^2

(AC)^2 = 1225 + 4x^2 - 180x + 2025

(AC)^2 = 4x^2 - 180x + 3250

Now, we can use the distance formula to find the length of AC:

AC = sqrt[(A - C)^2 + (B - D)^2]

AC = sqrt[(35 + 35)^2 + 80^2]

AC = sqrt[4900 + 6400]

AC = sqrt(11300)

AC = 106.23 feet (rounded to two decimal places)

Substituting the value in  equation above, we will get:

(106.23)^2 = 4x^2 - 180x + 3250

11299.77 = 4x^2 - 180x + 3250

4x^2 - 180x + 8049.77 = 0

Solving the quadratic equation using quadratic formula, we will get:

x = [180 ± sqrt(180^2 - 4(4)(8049.77))] / (2(4))

x = [180 ± sqrt(129322.08)] / 8

x = [180 ± 359.44] / 8

We take the positive root, since x represents a length, and we get:

x = (180 + 359.44) / 8

x = 67.43 feet (rounded to two decimal places)

Therefore, the width of the trapezoid is approximately 67.43 feet.

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