Find the value of x. Round your answer to the nearest tenth.
68°
24
The value of x is about

Step-by-step explanation:

with 2 cubes we have 12 faces to paint.

each face has 2 options (black or white).

so, we have a total of 2¹² possible outcomes.

a probability is always the ratio of

desired cases / totally possible cases

so, we need to find a way to express the desired cases of both cubes being painted the same way.

essentially that means we have a totally free choice of painting the faces of the first cube.

that is 2⁶ possible outcomes.

for the second cubes we have then only one basic choice : to repeat the choices done on the first cube.

BUT : we have 6×4 ways to orient the second cube before painting it identically.

6 ways to pick e.g. the front face, and then 4 options to rotate the cube with the same front face for the e.g. top face.

in other words, we have 2⁶ different desired patterns on the first cube and 24 options to repeat the pattern on the second cube.

that means the desired options are 2⁶×1×24

so, the probability for them to be identical is

24×2⁶ / 2¹² = 24/2⁶ = 3/2³ = 3/8 = 0.375

The probability that after they are painted, the cubes can be rotated to be identical in appearance is (a) 64/9

Probability is a branch of mathematics that deals with the study of random phenomena or events with uncertain outcomes.

Let's start by assuming that one of the cubes has the black face facing up. The other cube can be painted in any of the possible ways.

Let's list all the possible configurations for the second cube.

There are six faces, and each can be painted either black or white. Therefore, there are 2⁶ = 64 possible configurations for the second cube.

The cube with the black face facing up has been accounted for separately, so there are 63 configurations that we need to consider.

If the second cube is painted all black or all white, there is only one way to position it so that the cubes look identical, and that is to rotate it so that the black or white face is facing up.

There are two such configurations. If the second cube has exactly one white face and five black faces, there are three ways to position it so that the cubes look identical. There are three such configurations

.If the second cube has two white faces and four black faces, there are six ways to position it so that the cubes look identical. There are six such configurations.

If the second cube has three white faces and three black faces, there are eight ways to position it so that the cubes look identical. There are eight such configurations.

If the second cube has four white faces and two black faces, there are six ways to position it so that the cubes look identical. There are six such configurations.

If the second cube has five white faces and one black face, there are three ways to position it so that the cubes look identical. There are three such configurations

.If the second cube is painted all white, there is only one way to position it so that the cubes look identical, and that is to rotate it so that the white face is facing up. There are two such configurations.

In total, there are 2 + 3 + 6 + 8 + 6 + 3 + 2 = 30 ways to position the two cubes so that they look identical.

There are 63 × 64 possible configurations for the two cubes, so the probability of the cubes being able to be rotated to be identical in appearance is given by:

30/ (63×64) = 64/9

Therefore, the correct answer is (a) 64/9.

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Answer:

-10

Step-by-step explanation:

expand: 3x-12>5x+2

subtract 3x and subtract 2 to both sides

-14>2x

which is just

2x<-14

so x<-7.

the only value is -10. :D

Answer:

-10

Step-by-step explanation:

3(x – 4) > 5x + 2

Distribute

3x -12 > 5x+2

Subtract 3x from each side

3x-12-3x > 5x-3x+2

-12 > 2x+2

Subtract 2 from each side

-12 -2 > 2x+2-2

-14 > 2x

Divide by 2

-14/2 > 2x/2

-7 > x

X must be less than -7

-10 is less than -7

Using Linear equations, the two equations of the given data are $10 + $250x and $4x

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Using linear Equations,

Let x be the miles covered,

Taxi company 1 charges = $10 + $250x

Taxi company 2 changes = $4x

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It is TRUE that If you want to calculate the total magnification, take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.

If you want to get the total magnification of a microscope, you need to multiply the magnification of the objective lens by the magnification of the eyepiece lens. The objective lens typically has a magnification of 4X, 10X, or 40X, and the eyepiece lens usually has a magnification of 10X. So, for example, if you are using a 10X objective lens and a 10X eyepiece lens, the total magnification would be 10 × 10 = 100X.

On the other hand, these numbers may be the total magnification for a lower powered stereomicroscope. 10X and 40X are achievable with 10X eyepieces and 1X or 4X objective lenses. Or it can be a zoom stereomicroscope with zoom set to 1X and 4X and 10X eyepieces. To get a total of 4X, you can use the 0.8X zoom setting (which is common) plus the 5X eyepiece. Or you can use the 0.5x auxiliary lens, 0.8x zoom and 10x eyepieces.

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Complete Question:

True, or False

To get the total magnification take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.

The probability of more than 3 of the flips turn up tails is 0.0528 i.e 5.28%.

The binomial distribution in contains n independent Bernoulli trials. A Bernoulli trial is a trial that happens to succeed (probability p) or fail (probability 1- p = q )

Suppose we have a variable X for a Bernoulli distribution with parameters n and p, which is written as The probability of x successes in n trials is P(X = x)

= ⁿCₓ pˣ(q)ⁿ ⁻ ˣ

Toss a fair coin 12 times.

Next is the probability that 3 or more flips will be a number.

The probability of success is (P) = 1/2 = 0.5

total number of tosses (n) = 12

we have x = 3

P(X = 3) = ¹²C₃(0.5)³x (1 - 0.5)¹²⁻³

= 220 (0.5)³ (1 - 0.5)⁹

P(X = 3) = 0.0528

P(X = 3) = 5.28%

Hence, the probability that more than 3 of flips turn up tails is 0.0528.

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To meet the requirements, the company should purchase 6,500  m³ of High-Quality gasoline, 13,500 m³ of Junk gasoline, produce 7,000  m³ of Super gasoline, and 10,000  m³ of Regular gasoline.

To determine the amounts of High-Quality and Junk gasoline to purchase and the amounts of Super and Regular gasoline to produce and sell, we need to consider the octane rating, lead content, and minimum and maximum amounts required for each type of gasoline.

For Super gasoline, the minimum octane rating required is 95, and the minimum lead content required is 0.15 g/L. To meet these requirements, the company needs to blend a certain amount of High-Quality and Junk gasoline. Since the company has 25,000  m³ of High-Quality gasoline available with an octane rating of 105 and 0.10 g/L of lead content, it should purchase 6,500  m³ of High-Quality gasoline to satisfy the minimum octane rating and lead content requirements.

Similarly, since the company has 30,000  m³ of Junk gasoline available with an octane rating of 82 and 0.30 g/L of lead content, it should purchase 13,500  m³ of Junk gasoline to meet the minimum octane rating and lead content requirements.

Now, considering the amounts of Super and Regular gasoline required, the company should produce 7,000  m³ of Super gasoline and 10,000 m³ of Regular gasoline. The Super gasoline should be sold at a price of $400 per m³, and the Regular gasoline should be sold at a price of $310 per  m³.

In summary, the company should purchase 6,500  m³ of High-Quality gasoline, 13,500  m³ of Junk gasoline, produce 7,000 m³ of Super gasoline, and sell it at a price of $400 per  m³. They should also produce 10,000 m³ of Regular gasoline and sell it at a price of $310 per  m³.

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If the area of the hallway is 250 square feet, it would cost $625 to carpet the hallway with $2.50 per square foot carpet.

To find the cost of carpeting the hallway, we need to know the area of the hallway first. Let's assume that the length of the hallway is 50 feet and the width is 5 feet.

The area of the hallway = length x width
= 50 feet x 5 feet
= 250 square feet

Now that we know  we can find the cost of carpeting it.

Cost of carpeting = area x cost per square foot
= 250 square feet x $2.50 per square foot
= $625

Therefore, it would cost $625 to carpet the hallway with $2.50 per square foot carpet.

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Answer:

c^2 = a^2 + b^2 - 2ab cos(C)

Step-by-step explanation:

The angle at A is named A, the angle at B is named B, and the angle at C is named C

Answer:

πr²=22/7×49

=22×7

=154

hope it helps

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Answer:

 x = -1

y = 4

Step-by-step explanation:

Solving system of linear equations by elimination method.

    8x +  3y = 4 ---------------(I)

    2x  + y = 2 --------------(II)

Multiply the second equation by (-3) and then add them.Thus y will be eliminated and we will obtain the value of 'x'.

       (I)                8x  +  3y = 4

     (II)*(-3)         -6x - 3y = -6   {Now add}

                           2x         = -2

                                     x = -2/2

                           \(\sf \boxed{\bf x = -1}\)

Plugin x = (-1) in any one of the equations. Here I have chosen equation (II)

2*(-1) + y = 2

    -2 + y  = 2

           y = 2 + 2

            \(\sf \boxed{\bf y = 4}\)

Answer:

4 + 2 = 6

Step-by-step explanation:

If you put up 4 figers and 2 figers and count it

will give you the sum of 6

tThe population in this scenario refers to the entire group of policyholders of the large automobile insurance company.

Set up the hypotheses ; Null hypothesis (H0): The mean age in the population of policyholders is 50.  Alternative hypothesis (Ha): The mean age in the population of policyholders is different from 50. Determine the significance level: The significance level is given as 5%.  Calculate the test statistic: The test statistic for a two-sample t-test is given by:
    t = (sample mean - hypothesized mean) / (standard error)

 In this case, the sample mean is 47.2, and the hypothesized mean is 50. The standard error can be calculated using the formula: standard error = sqrt(variance / sample size).  In this case, the variance is 121 and the sample size is 361. Calculate the degrees of freedom:  For a two-sample t-test, the degrees of freedom is calculated as the sum of the sample sizes minus 2.  In this case, the sample size is 361.  Determine the critical value:  Since the alternative hypothesis is two-tailed (different from 50), we divide the significance level by 2 (5% / 2) to get the critical value for each tail.

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hello

beth spent 1/3 of the time needed for her assignment on a chapter and a further 20 minutes writing an essay

let the total time she spent doing her home work be represented by x

total time = reading a chapter + writing an eassy

let's solve the equation and find x

Beth spent 30 minutes doing her home work

Answer:

Step-by-step explanation:

The range is the set of second numbers of the ordered pairs.

  {-5, 1, 4, 5}

__

The domain is the set of first numbers of the ordered pairs.

  {-5, -3, 0, 2}

__

Additional comment

It is generally convenient to write the elements of a set in sorted order.

Five pairs of shoes = 5(4x² - 9) = 20x² - 45.

Four bags = 4(2x² - 3x + 5) = 8x² - 12x + 20

-> Total cost = 20x² - 45 + 8x² - 12x + 20 = 28x² - 12x - 25.

Answer:

29 = (x/12) +6

Step-by-step explanation:

29 is the final result, so setting it up, you would be dividing the unknown number by 12 and then adding 6 to get 29. To find x you would do the reverse and subtract 6 from 29 and then multiply by 12

Answer:

20mph

Step-by-step explanation:

because when you divide the 280 it goes by 20 mph to get to 280 miles by quarters but in 20s

3x - 1 = 0 is not a quadratic equation.

A variable with the largest power of two in a quadratic equation is called a variable. Quad, which signifies square, is the root of the term quadratic. The phrase must be two times its own strength, neither higher nor lower.

Given that they are the x values for which f(x) = 0, the roots of the function f(x) = ax² + bx + c correspond to the solutions of the quadratic equation ax² + bx + c = 0.

The term ax² is known as the quadratic term (hence the function's name), the word bx is known as the linear term, and the value c is known as the constant term.

In the given equation: 3x - 1 = 0 , no ax² term is given, so it is not a quadratic equation.

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The complete question is as follows:

Is 3x - 1 = 0 a quadratic equation?

Answer:

\({ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}\)

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

Answer:

My answer will be 3.

Step-by-step explanation:

Answer:

n = 113°

Step-by-step explanation:

⭐What is an isosceles triangle?

⭐What is the exterior angles theorem?

In this case, n is the exterior angle, because it is outside of the triangle.

The 46° is opposite of n.

Thus, we need to find the left base angle, because it is opposite of n, and use the exterior angles theorem to find n.

Knowing that the triangle is an isosceles triangle, we can make an equation to find the base angles.

The internal angles of a triangle sum to 180°. Let the base angles = x.

\(46 + x + x = 180\)

\(46 + 2x = 180\)

\(2x = 134\)

Solving for one base angle:

\(x = 67\)

∴ The left base angle is 67°

Now, apply the exterior angles theorem knowing the two angles opposite of n.

\(n = 46 + 67\)

\(n = 113\)

∴ n = 113°

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Jane travels 8 miles much farther than her trainer. The solution is obtained using arithmetic operations.

What are arithmetic operations?

By combining operands with one arithmetic operator, an arithmetic operation is given. The built-in functions add, subtract, divide, and multiply additionally allow for the specification of arithmetic operations.

3. Using pythagoras theorem, we get the equation as D² = 12² + 16².

⇒D² = 144 + 256

⇒D² = 400

⇒D = √400

⇒D = 20

4. Jane has traveled 28 miles in total whereas her trainer has traveled 20 miles.

So, the difference is 28-20= 8 miles

Hence, Jane travels 8 miles much farther than her trainer.

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The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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Answer:

y = 0

Step-by-step explanation:

Thus, the explicit formula for the simple interest sequence A(n) = P + (n-1)(i.P) is: A(n) = P * (1 + i * (n-1)).

Simple interest is a method of calculating interest on a loan or investment where interest is charged only on the initial principal amount. In simple interest, the interest rate is applied to the original principal amount, and the interest earned remains the same throughout the entire term of the loan or investment.

by the question.

The formula for a simple interest sequence A(n) = P + (n-1) (i.P) represents the value of an investment that earns simple interest over n periods, where:

A(n) is the value of the investment after n periods.

P is the principal or initial investment

i is the interest rate per period as a decimal fraction (e.g. 0.05 for 5%)

n is the number of periods

To derive the explicit formula for A(n), we can use the formula for simple interest:

I = P * i * n

where I am the total interest earned over n periods. We can then express A(n) as:

A(n) = P + I

Substituting the expression for I, we get:

A(n) = P + P * i * (n-1)

Simplifying, we can factor out P to get:

A(n) = P * (1 + i * (n-1))

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To determine average high school GPA of students we would need access to dataset that includes birth dates and  high school GPAs of the students. Without specific data, it is not possible to provide an average GPA.

Collecting the required data involves accessing student records or conducting surveys to gather information on birth dates and high school GPAs. Once the data is obtained, the average GPA can be calculated by summing up the GPAs of all students born during April, May, and June of 2005 and dividing it by the total number of students in that group.

It's important to note that the average GPA will be specific to the dataset or sample of students used for the calculation. If the dataset is representative and unbiased, the average GPA can provide an estimation of the average performance of students born during those months in 2005. However, if the dataset is limited or not representative, the calculated average may not accurately reflect the overall average high school GPA of all students born during that period.

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The area within the floor plan that Mutt can roam is determined as 37.7 m².

The total possible area that Mutt can roam is calculated as follows;

A = πr²

where;

A = π (6 m)²

A = 113.1 m²

The area outside the 120⁰ is calculated as follows;

θ = 360 - 120

θ = 240⁰

A = 240⁰/360 x 113.1 m²

A = 75.4 m²

The area that Mutt can roam is calculated as follows;

A = 113.1 m² - 75.4 m²

A = 37.7 m²

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To get average speed you take:

Total distance / total time = average speed

As we can see, the total distance that the motorist travelled was:

And, the total time taken is:

Then, his average speed is: