Select the methodology that would result in a subjective probability....
Dividing the number of favorable events by the number of possible events.
Studying the fraction of times in the past a particular event has happened.
Weighing the available information and assigning a probability.

Answer:

f=48

Step-by-step explanation:

Its correct good luck!

Answer:

answer is A

Step-by-step explanation:

Simply count from place marked 0.

All choices show -4 and 1/2 in the same place.

-2 3/4 can be found by counting 3 down from place marked -2

1 1/4 can be found counting 1 up from place 1 (not marked, but spaced evenly between 0 and 2)

This corresponds with choice A

Answer:

7 inches

Step-by-step explanation:

you divide 50 into 150 and then you get 3.5. then you take 3.5 and times it by 2 to get 7.

Answer:

B) 298

Step-by-step explanation:

5,066 ÷ 17 = 298 books

The dimensions of the rectangle with the greatest possible area are length (L) = 2√(4/3) and width (W) = 8/3. The exact numerical value of the maximum area can be calculated as A = 2(√(4/3)) * (8/3).

To find the dimensions of the rectangle with the greatest possible area, we need to maximize the area function.

Let's denote the dimensions of the rectangle as length (L) and width (W). Since the base of the rectangle is on the x-axis, the length of the rectangle will be equal to 2 times the x-coordinate of the upper corner. So, L = 2x.

The area of the rectangle is given by the product of its length and width: A = L * W.

Substituting L = 2x, we have A = 2x * W.

To maximize the area, we can differentiate A with respect to x and set the derivative equal to zero:

\(dA/dx = 2(4 - x^2) - 2x(2x)\\dA/dx = 8 - 2x^2 - 4x^2\\dA/dx = 8 - 6x^2\\\)

Setting dA/dx = 0, we have:

\(8 - 6x^2 = 0\\6x^2 = 8\\x^2 = 8/6\\x^2 = 4/3\\\)

x = ±√(4/3)

Since we're interested in the dimensions of the rectangle, we take the positive value of x. So, x = √(4/3).

Substituting this value of x back into the width equation \(W = 4 - x^2\), we have:

W = 4 - 4/3

W = 8/3

Therefore, the dimensions of the rectangle with the greatest possible area are:

Length (L) = 2x

= 2√(4/3)

Width (W) = 8/3

Please note that the area can also be calculated by substituting the value of x into the area equation A = 2x * W:

A = 2(√(4/3)) * (8/3)

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Answer:

27

Step-by-step explanation:

3^2(2^3+4)/2^2

3^2(8+4)/2^2

3^2(12)/2^2

9(12)/4

108/4

27

I think the question is 2x/4 - 1/3 + x = 2

So, if I solve for this:

\( \frac{2x}{4} - \frac{1}{3} + x = 2\)

\( \frac{x}{2} - \frac{1}{3} + x = 2\)

\( \frac{3x}{6} - \frac{2}{6} + \frac{6x}{6} = 2 \)

\( \frac{3x - 2 + 6x}{6} = 2\)

\(\frac{(3x + 6x) - 2}{6} = 2\)

\( \frac{9x - 2}{6} = 2\)

\(9x - 2 = 2 \times 6\)

\(9 x - 2 = 12\)

\(9x = 12 + 2\)

\(9x = 14\)

\(x = \frac{14}{9} \)

Answer:

16

Step-by-step explanation:

a+ 3(b + c)

a + 3b + 3c

but a + 3b = 7 and c = 3

7+3(3)

7 + 9

=16

See attachment for math work.

Answer:

What is the question?

Step-by-step explanation:

...

Answer: m is less than or equal to -7

Step-by-step explanation:

Step-by-step explanation:

\(-2m - 3 \leq 11\)

\(-2m \leq 14\) (adding 3 to both sides)

\(m\geq -7\) (dividing by a negative switches the sign around)

Hope this helps!

Answer:

A = (1/4)πr^2

where r is the radius of the circle.

If the side and base mentioned in the question refer to the radius of the circle, then the area of the quadrant can be calculated as follows:

Given, radius (r) = 8 cm

The area of the quadrant = (1/4)πr^2

= (1/4)π(8)^2

= 16π square cm

= 50.27 square cm

Answer:

$24

Step-by-step explanation:

First, we round to the nearest tenth.

$120

Now, we calculate the tip amount.

\(.20 * 120 = 24\)

Answer:

22.5 is your answer

Step-by-step explanation:

The algebraic expression which correctly represents the word phrase; 7 minus the cube of a number as given in the task content is; 7 - x³.

It follows from the task content that the algebraic expression which correctly represents the word phrase; 7 minus the cube of a number as given in the task content be determined.

On this note, since the number in discuss is given and represented by; x in the task content. Hence, the cube of the number is; x³.

The word phrase; 7 minus the cube of a number can therefore be represented as;

7 - x³.

Ultimately, the algebraic expression which correctly represents the word phrase; 7 minus the cube of a number as given in the task content is; 7 - x³.

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A third-degree polynomial can have either one or three real roots, depending on whether it touches the x-axis at one or three distinct points.

To explain why a third-degree polynomial must have exactly one or three real roots. A third-degree polynomial is also known as a cubic polynomial, and it can be expressed in the form:

f(x) = ax³ + bx² + cx + d

To understand the number of real roots, we need to consider the possible combinations of x-intercepts.

The x-intercepts of a polynomial are the values of x for which f(x) equals zero.

Possibility 1: No real roots (all complex):

In this case, the cubic polynomial does not intersect the x-axis at any real point. Instead, all its roots are complex numbers.

This means that the polynomial would not cross or touch the x-axis, and it would remain above or below it.

Possibility 2: One real root: A cubic polynomial can have a single real root when it touches the x-axis at one point and then turns back. This means that the polynomial intersects the x-axis at a single point, creating only one real root.

Possibility 3: Three real roots: A cubic polynomial can have three real roots when it intersects the x-axis at three distinct points.

In this case, the polynomial crosses the x-axis at three different locations, creating three real roots.

Note that these possibilities are exhaustive, meaning there are no other options for the number of real roots of a third-degree polynomial.

This is a result of the Fundamental Theorem of Algebra, which states that a polynomial of degree n will have exactly n complex roots, counting multiplicities.

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Answer:

14

Step-by-step explanation:

always subtract the highest number from the lowest and I believe that is your range

Answer:

14

Step-by-step explanation:

The surface area of the cuboid is 3.286 cm²

A cuboid is a solid shape or a three-dimensional shape.

Surface area is the amount of space covering the outside of a three-dimensional shape.

The surface area of a cuboid is expressed as;

SA = 2( lb + lh + bh)

length = 1 2/5 = 7/5

breadth = 5/8

height = 3/8

lb = 7/5 × 5/8 = 7/8

bh = 5/8 × 3/8 = 15/64

lh = 7/5 × 3/8 = 21/40

surface area =2( 7/8 + 15/64+21/40)

= 2( 0.875 + 0.234 + 0.525)

= 2( 1.634)

= 3.268 cm²

The surface area of the cuboid is 3.268 cm²

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Answer:

y = -0.5x + 1

Step-by-step explanation:

The slope intercept form of a line is given by:

y = mx + b

where m is the slope of the line and b is the y-intercept (i.e. the point at which the line crosses the y-axis). To find the equation of a line using two points, we can use the slope formula to calculate the slope, then use one of the points to find the y-intercept.

The slope of a line is given by:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the two given points into this formula, we get:

m = (-1 - 1) / (4 - 0) = -2 / 4 = -1/2

Now that we know the slope of the line, we can use one of the points to find the y-intercept. Let's use the point (4,-1):

y = mx + b

-1 = (-1/2) * 4 + b

-1 = -2 + b

b = 1

Therefore, the equation of the line that passes through the points (4,-1) and (0,1) in slope intercept form is:

y = (-1/2)x + 1

Note that the equation can also be written as:

y = -0.5x + 1

Answer: x-int: (-4, 0), y-int: (0, 1/2)

Step-by-step explanation:

x-int: when y = 0

-x + 8*0 = 4

-x = 4

x = -4

(-4, 0)

y-int: when x = 0

0 + 8y = 4

8y = 4

y = 1/2

(0, 1/2)

The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).

To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.

Let's start with the first fraction's denominator:

x² + x - 6

We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:

x² + x - 6 = (x + 3)(x - 2)

Now let's factor the second fraction's denominator:

x² - 6x + 8

We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:

x² - 6x + 8 = (x - 2)(x - 4)

Now we can rewrite the original expression with a common denominator:

(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))

Next, we can simplify the numerator:

(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

Finally, we can't simplify this expression any further. Therefore, the simplified expression is:

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

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the answer to your question is B. A 5-minute reduction in the time to run a race

Answer: B

Step-by-step explanation: it is B bc all of them r postitive... 5 more worker is more people to help at a buisness

HAVE A WONDERFUL DAY!

Answer:

A). 3x-5

Step-by-step explanation:

Answer:

Look at the picture attached.

Step-by-step explanation:

Your x-intercept is 6 and your y-intercept is 4, that is where your 2 points will go. According to the slope, you should go up 2 and over 3, if you don't want to find the x-intercept. Then you would just plot the y-intercept which is 4, and then go up 2, over three and plot the next.

Hope this helps! :)

Answer:

Answer is in the picture, hope i got it right :)

The most appropriate statement is that C. The shaded area represent both 2/3 and 6/9 of the whole shape.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Given a square.

This square is divided in to 9 equal sized squares, with 3 rows and 3 columns.

Out of the 9 equal sized squares, 6 squares are shaded.

We can write the fraction of shaded squares to total number of squares as 6/9.

In the same way, we have in the question that, 6 squares which are shaded is the squares in the first two columns, where each column has three squares.

So we can say that, out of 3 equal sized columns, two columns are shaded.

Fraction of shaded columns to total columns is 2/3.

So 2/3 = 6/9.

Hence shaded area represent both 2/3 and 6/9 of the whole shape.

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The correct option is (2)  \(\frac{8}{5}\) and (3)  \(\frac{1}{6}\).

The factor of equation  f(x) = 60\(x^{4}\) +  86\(x^{3}\) – 46\(x^{2}\) – 43\(x\) + 8 are \(\frac{8}{5}\) and \(\frac{1}{6}\).

The rational root theorem, also referred to as the rational zero theorem, is a potent mathematical technique used to identify all potential rational roots of polynomial equations of order 3 and above.

For the given polynomial, the roots are given as;

\($$P(x)=a_{n} x^{n}+a_{n-1} x^{n-1}+\cdots+a_{2} x^{2}+a_{1} x+a_{0}$$\\ \\$\pm \frac{\text { factors of } a_{0}}{\text { factors of } a_{n}}$.\)

Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and factors of 8 are 1, 2, 4 and 8.

Out of the given options, only   \(\frac{8}{5}\) and \(\frac{1}{6}\) can be written in the form:  

\(\begin{aligned}&\frac{8}{5}=\frac{\text { a factor of } 8}{\text { a factor of } 60} \\&\frac{1}{6}=\frac{\text { a factor of } 8}{\text { a factor of } 60}\end{aligned}\)

Therefore, the rational roots of polynomial f(x) = 60\(x^{4}\) +  86\(x^{3}\) – 46\(x^{2}\) – 43\(x\) + 8 are \(\frac{8}{5}\) and \(\frac{1}{6}\).

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The complete question is-

Which is a factor of f(x) = 60\(x^{4}\) +  86\(x^{3}\) – 46\(x^{2}\) – 43\(x\) + 8? use the rational root theorem to help you find your answer.

Step-by-step explanation:

it says f(-4).

so, x = -4.

into what function segment is this "falling" ?

well, into the x < 3 segment, right ? because -4 < 3.

so, we need to use

f(x) = x² - 5

f(-4) = (-4)² - 5 = 16 - 5 = 11