please answer this for me

Answer:

Probability of getting a number which is not 2 = 7/8

Step-by-step explanation:

Given;

Total number of faces = 8

Number of face with 2 = 1

Number of face with 3 = 2

Number of face with 4 = 1

Number of face with 7 = 3

Number of face with 9 = 1

Find:

Probability of getting a number which is not 2

Computation:

Probability of not an event = 1 - [Number of favourable outcomes / Total number of outcomes]

Probability of getting a number which is not 2 = 1 - [1/8]

Probability of getting a number which is not 2 = [8-1] / 8

Probability of getting a number which is not 2 = 7/8

Answer:

4.587

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Whenever something is to the power of 2, just think of the number multiplied twice :) Hoped this helped.

Answer:

Triangle ABC is congruent to triangle DFE.

Answer:

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

I put it into a graphing calculator

Answer:

true

Step-by-step explanation:

0 < -2

I hope that helped :)

Answer:

Step-by-step explanation:

6x-y=1

-y=-6x+1

y=6x-1

4x-3y=-11

D.

It's an upside-down ln(x) function that's been shifted 3 units to the left.

The number of coins which Craig collected as calculated from the given data is 49.

Given ,

percentage of foreign coin = 72%

Therefore the percentage of normal coins will be 28%.

Hence , the number of normal coins which he collected can be found out as ,

 28% of 175

= 28% × 175

= 28/100 × 175

= 0.28 × 175

= 49

When we divide a given number by 100 as a fraction , the result we get is known as percentage .

It is represented by the percentage sign which is "%".

The percentage is denoted by the letters "pct" or "pc," respectively. In other words, the percent or % is calculated at a value of around 100 and represents the proportion of one quantity made up of another.

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Step-by-step explanation:

the area of a rectangle is length×width.

area of the original rectangle (before its sides are. multiplied) :

Ao = length original × width original

length new = length original × 4

width new = width original × 4

the area of the new rectangle is then :

An = length new × width new =

= length original × 4 × width original × 4 =

= length original × width original × 4 × 4 =

= length original × width original × 16 =

= Ao × 16

so, the fourth answer option is correct. the area increases by a factor 16.

two objects of shapes are similar, if their angles are the same, and exchanged side length of one object correlates with the corresponding side length of the other b object with the same ratio.

we see the ratio of one corresponding pair of side lengths is 2/4 = 1/2. so, every side length of the small prism is half as long as the corresponding side length in the large prism.

the volume of such a prism is the multiplication of 3 side lengths : length, width, height.

each one has now a scaling factor of 1/2.

so, the volume decreases by the cube of the scaling factor: 1/2×1/2×1/2 = 1/2³ = 1/8

so,

Vsmall = Vlarge × 1/8 = 2720/8 = 340 cm³

therefore, again, the fourth answer option is correct.

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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Answer: No

Correct answer: 4 and -2

Step-by-step explanation:

The zeros can be found by solving each of the equations in the parenthesis

equal to zero

x-4=0

x+2=0

Answer:

A negative integer

Step-by-step explanation:

3x - 2(5x+12) - 32 = 0

3x - 10x - 24 - 32 = 0

-7x -56 = 0

-7x = 56, x = -8

y = 5(-8) + 12, y = -28

Answer:

i think it's 100+y²

Step-by-step explanation:

look at the picture

Based on the information, the predicted stock price for an employment value of 9 is 12.2.

The correlation coefficient r is a measure of the linear relationship between two variables. In this case, the correlation coefficient r is 0.8, which indicates a strong positive linear relationship between the price of the stock and U.S. employment. This means that as U.S. employment increases, the price of the stock is likely to increase as well.

The best-fit line equation is y = mx + b, where y is the stock price, x is the employment value, m is the slope of the line, and b is the y-intercept.

The slope of the line is 0.8, and the y-intercept is 5. Therefore, the equation for the best-fit line is y = 0.8x + 5.

In order to predict the stock price for an employment value of 9, we can substitute 9 for x in the equation. This gives us y = 0.8(9) + 5 = 7.2 + 5 = 12.2.

Therefore, the predicted stock price for an employment value of 9 is 12.2.

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Answer:

1.88

Step-by-step explanation:

47/25

= 1.88

Answer:

-1=5.3

not sure if this is right; it should be though

Step-by-step explanation:

2.1(0) - (1+2(0))= 5.3

-(1)=5.3

-1=5.3

Answer:

i dont understand it

Step-by-step explanation:

If x is a positive integer , 4x^1/2 is equivalent to product of 2 and square root of x, wherein it would surely be a positive value greater than 2.

Positive integers are the numbers on the number line which are greater then zero and extend on the right hand side of the number line till infinity. These numbers are also whole numbers in itself such as 1, 2, 3...,∞. When 4x^1/2 is calculated, it is assumed that 4x is raised to power half, which will provide the answer as 2√x.

It is because square root of 4 will be 2 and that of x will be √x. Square roots are the numbers obtained by multiplying a specific number by the number itself. For example: 3×3 = 9 or square root of 9 is 3.

If some positive integer is fixed in the equation, the desired outcome would be obtained as follows:

If x=4, (4×4)^1/2 = 4

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Answer:

x = 55

Step-by-step explanation:

Use the property of a parallelogram,

" Opposite interior angles of a parallelogram are equal in measure"

By this property, opposite angles given in the figure will be equal.

(2x + 5)° = 115°

2x = 115 - 5

2x = 110

x = \(\frac{110}{2}\)

x = 55

Therefore, x = 55 will be the value.

Answer:

side length a = 2 cm

Step-by-step explanation:

side length a = 2 cm

face diagonal f = 2.8284271247462 cm

solid diagonal d = 3.4641016151378 cm

surface area S = 24 cm^2

volume V = 8 cm^3

The correct answer is Using numerical integration techniques:Approximation using the Trapezoidal Rule (t10) is approximately [2.763211].Approximation using the Midpoint Rule (m10) is approximately [2.079728].Approximation using Simpson's Rule (s10) is approximately [2.094395].

To approximate the values of t10, m10, and s10 for the integral 0 to 8 sin(x) dx, we can use numerical integration techniques, such as the Trapezoidal Rule, Midpoint Rule, and Simpson's Rule.

Trapezoidal Rule (t10):

The Trapezoidal Rule estimates the integral by approximating the area under the curve using trapezoids. The formula for the Trapezoidal Rule is given by:

t10 = (b - a) * [(f(a) + f(b)) / 2 + ∑(f(xi))] / n

where a and b are the limits of integration (0 and 8 in this case), f(x) is the function (sin(x) in this case), xi are the equally spaced points between a and b, and n is the number of intervals.

Using n = 10, we can calculate t10:

t10 ≈ (8 - 0) * [(sin(0) + sin(8)) / 2 + ∑(sin(xi))] / 10

Midpoint Rule (m10):

The Midpoint Rule estimates the integral by approximating the area under the curve using rectangles. The formula for the Midpoint Rule is given by:

m10 = (b - a) * ∑(f(xi + h/2)) / n

where a, b, f(x), xi, and n have the same meanings as in the TrapezoidalRule, and h is the width of each interval (h = (b - a) / n).

Using n = 10, we can calculate m10:

m10 ≈ (8 - 0) * ∑(sin(xi + (8 - 0) / (2 * 10))) / 10

Simpson's Rule (s10):

Simpson's Rule estimates the integral by approximating the area using parabolic arcs. The formula for Simpson's Rule is given by:

s10 = (b - a) * [f(a) + 4 * ∑(f(xi)) + 2 * ∑(f(x2i)) + f(b)] / (3 * n)

where a, b, f(x), xi, and n have the same meanings as in the Trapezoidal Rule, and x2i represents the points with an even index.

Using n = 10, we can calculate s10:

s10 ≈ (8 - 0) * [sin(0) + 4 * ∑(sin(xi)) + 2 * ∑(sin(x2i)) + sin(8)] / (3 * 10)

By evaluating these formulas using numerical methods and rounding the results to six decimal places, you can find the approximations t10, m10, and s10 for the given integral 0 to 8 sin(x) dx.

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The value of x in the line is 0.5 units and the value of y is 1.7 units.

The length of the lines are indicated on the diagram. The line below is bisected into two equal halves.

Therefore, let's find the value of x in the line segments.

5x + 8 = 21x

5x - 21x = -8

-16x = -8

divide both sides of the equation by -16

x = -8 / -16

x = 1 / 2

Therefore, let's find the value of y in the line segments.

20y - 2 = 17y + 3

20y - 17y = 3 + 2

3y = 5

divide both sides of the equation by 3

y = 5 / 3

y = 5 / 3 = 1.66666666667 = 1.7

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The magnitude of the resultant force can be found using the law of cosines, and it is approximately 692 pounds.

The direction of the resultant force can be found using the law of sines, and it is approximately 14.6° with respect to the positive x-axis

To find the magnitude of the resultant force, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of their magnitudes and the cosine of the included angle.

In this case, the two sides are the magnitudes of the given forces (300 pounds and 500 pounds), and the included angle is the angle between the forces.

Applying the law of cosines, we have: Resultant force^2 = 300^2 + 500^2 - 2 * 300 * 500 * cos(60° - (-45°))

Calculating this equation, we find that the resultant force^2 is approximately equal to 479,200 pounds^2. Taking the square root of this value, we get the magnitude of the resultant force, which is approximately 692 pounds.

To find the direction of the resultant force, we can use the law of sines. The law of sines states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, the sides are the magnitudes of the forces, and the opposite angles are the angles between the forces and the positive x-axis.

Applying the law of sines, we have: (sin θ) / 500 = (sin 60°) / Resultant force

Solving for θ, we find that sin θ is equal to (sin 60°) / (Resultant force / 500). Calculating this equation, we get sin θ is approximately 0.250.

Taking the inverse sine of this value, we find that θ is approximately 14.6°. Therefore, the direction of the resultant force is approximately 14.6° with respect to the positive x-axis.

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Answer:

\((x - \frac{ - 9 + \sqrt{161} }{2} )(x - \frac{ - 9 - \sqrt{161} }{2} ) \)

Step-by-step explanation:

\(1. \: a(x - \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} ) \: (x - \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a}) \\ 2. \: (x - \frac{ - 9 + \sqrt{ {9}^{2} - 4 \times - 20 } }{2} ) \: (x - \frac{ - 9 - \sqrt{ {9}^{2} - 4 \times - 20 } }{2} )\)

Answer:

$180

Step-by-step explanation:

Simple interest formula:

I = R x T x P divided by 100

=(900 x 2 x 10) / 100

=18000 / 100 = 180

=$180

Answer:

What is the index of the radical below? 4 radical 8

Answer:

8

Step-by-step explanation:

index is the root

square root would have an index of 2

To simplify the expression 7⁻², each of the boxes should be completed as follows;

1A) 7

1B) 2

1C) 49

In Mathematics and Geometry, an exponent is a mathematical operation that is commonly used in conjunction with an expression, so as to raise a given quantity to the power of another.

Mathematically, an exponent can be modeled by this mathematical expression;

bⁿ

Where:

By applying the law of indices for powers to the given expression, we would have the following simplified expression in order to determine the value of A, B, and C:

a⁻ᵇ = 1/aᵇ

7⁻² = 1/7²

1/7² = 1/49

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.