What is the probability of getting 5 out of 20 numbers?

Answer:

  19

Step-by-step explanation:

382 can be divided 33 ways to give 11 apples in each bag with a remainder of 19 apples.

The diameter of a hemisphere with a volume of 7195 in^3 is 117.2 in.

In the given question we have to find the diameter of a hemisphere with a volume of 7195 in^3.

As we know that the volume of hemisphere is (2/3)πr^3 cubic unit.

The given volume of hemisphere is 7195 in^3.

Now we firstly finding the radius of hemisphere then we find the diameter of hemisphere

The volume of hemisphere = 7195 in^3

(2/3)πr^3 = 7195

We know that; π = 22/7

(2/3) * (22/7) *r^3 = 7195

44/21 * r^3 = 7195

Multiply by 21/44 on both side, we get

r^3 = 7195*21/44

r^3 = 3433.98

r^3 = 3434 (approx)

Taking cube root on both side, we get

r = 58.60

Now finding the diameter,

Diameter = 2*radius

Diameter = 2*58.60

Diameter = 117.2

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Answer: 30.2

Step-by-step explanation:

14390=(4/3π)r^3

14390=(4.1887902)r^3

14390/4.1887902=(4.1887902)r^3/4.1887902

3435.3594466=r3

15.0888936=r

Explanation:

Given the functions

f(x) = x-5

G(x) = x^2

We are to find the composite function G(f(x))

Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

Answer: 138

Step-by-step explanation:

The correct answer is analysis of variance.

Given that,

Which ethnic group visits movie theaters most frequently That is the question being asked by a researcher. Metric is the dependent variable.

To find :  Which of the following tests is most appropriate

What is ANOVA ?

Analysis of variance (ANOVA) is a statistical technique for examining variations in means. It consists of a number of statistical models and the estimating techniques they require. The statistician Ronald Fisher is credited with creating the ANOVA. According to the law of total variance, which is the foundation of ANOVA, the observed variance in a given variable is divided into components that can be attributed to various causes of variation. ANOVA generalizes the t-test beyond two means by offering a straightforward statistical test for the equality of two or more population means. In other words, the ANOVA is employed to compare two or more means.

Therefore, the correct answer is analysis of variance.

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The inequality represented by the graph is given as follows:

y < 0.5x + 2.

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients m and b have the meaning presented as follows:

The graph of the function crosses the y-axis at y = 2, hence the intercept b is given as follows:

b = 2.

When x increases by 2, from x = 0 to x = 2, y increases by 1, from y = 2 to y = 3, hence the slope m is given as follows:

m = 1/2

m = 0.5.

Hence the function is given as follows:

y = 0.5x + 2.

The inequality is composed by the values to the left of the dashed line, hence it is given as follows:

y < 0.5x + 2.

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Answer:

d/dx = -2/x^3

Step-by-step explanation:

1/x^2 + 1

We can solve for the derivative using the power rule

d/dx = -2/x^3 + 0

d/dx = -2/x^3

In order to find the volume of a composite figure, we will first need to break it down into simpler shapes whose volumes we can calculate and add them together.

We can use this same method to find the volume of a composite figure. For example:Let's say we have a composite figure consisting of a cylinder and a rectangular prism. We can break it down into a cylinder and a rectangular prism, and find the volume of each separately. Once we have done that, we can simply add the volumes together to find the total volume of the composite figure. We will round our final answer to the nearest tenth.

Let's factorize the denominator to solve the given question, 2x³ - 25x⁴ / x² - 2x - 8We need to solve the denominator: x² - 2x - 8Now, let's use the quadratic formula to solve the denominator. x² - 2x - 8  Let's find the roots of the quadratic function x² - 2x - 8.x = (-b ± √(b² - 4ac)) / 2a

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Answer:

A ) -5

B) -4

C) -9

D) -12

\( \)

The equation line of the of the road in slope-intercept form is; y = 2·x - 10

The standard form of the equation of a line is Ax + Bx + C, where A, B, and C are constants and A and B are nonzero numbers.

The parameters for the new road are;

The road will be parallel to village way with points (0, 5), and (-4, -3)

The road will pass through the intersection  of Gray Dr and Canon Rd., which is the point with coordinates (3, -4)

Required; The equation of the road

Since the new road is parallel to Village Way, which has slope;

m = (5 - (-3))/(0 - (-4)) = 8/4 = 2

The slope of the new road will also be 2.

Let the equation of the new road be y = m·x + c, where m = 2 is the slope we just found. To find c, we use the fact that the road passes through the point (3, -4);

y - (-4) = 2 × (x - 3)

y = 2·x - 6 - 4 = 2·x - 10

y = 2·x - 10

Therefore, c = -10

Therefore, the equation of the new road in slope-intercept form, therefore is; y = 2·x - 10

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Answer:

The volume is approximately 50 m^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

The radius is 1/2 of the diameter r = 8/2 = 4

V = pi ( 4)^2 (1)

V = 16 pi

Letting pi be approximated by 3.14

V = 3.14 * 16

V = 50.24

The volume is approximately 50 m^3

Answer:

4×1000000 6×100000 7×10000 2×1000

Step-by-step explanation:

Answer:

\(4.672 * 10^{6}\)

Step-by-step explanation:

move the orginial number 6 decimal points to the left to determine its scientific notation

4672000

467200.0

46720.00

4672.000

467.2000

46.72000

4.672000

The only point that lies on both lines is (-4,5).

To determine which of the points (−4,5), (4,3), and (1,2) lie on both the lines −x1−4x2=−16 and −3x1−5x2=−13, we need to check if the coordinates of each point satisfy both of the equations.

For the first line, we can rewrite it as x2 = (-x1 + 16)/4 and for the second line, we can rewrite it as x2 = (-3x1 + 13)/5.

Substituting the coordinates of each point into these equations, we get:

For the point (-4,5):

-4(2) + 16/4 = -4 + 4 = 0, and

-3(-4) + 13/5 = 12/5 + 13/5 = 25/5 = 5.

Therefore, (-4,5) satisfies both equations.

For the point (4,3):

4(2) + 16/4 = 8 + 4 = 12, and

-3(4) + 13/5 = -12 + 13/5 = -47/5.

Therefore, (4,3) does not satisfy both equations.

For the point (1,2):

-1(2) + 16/4 = -2 + 4 = 2, and

-3(1) + 13/5 = -3 + 13/5 = 2/5.

Therefore, (1,2) does not satisfy both equations.

Therefore, the only point that lies on both lines is (-4,5).

When given two equations, the solution can be found by solving the system of equations. To solve a system of equations, one should find the values of x and y that satisfy both equations. The solution to the system is the point (x,y) that satisfies both equations.

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Answer:

8

Step-by-step explanation:

1/2x+2=3/2x-6

3/2x-1/2x-6=2

2/2x-6=2

x-6=2

x=2+6

x=8

Answer:

x=8

Step-by-step explanation:

I would love to show you the steps, but honestly, I dont want to give 20 complicated steps. I'll give you the steps, if you really need them though.

Answer:

14

Step-by-step explanation:

The width of the satellite dish at the opening is 23 feet.

To find the width of the satellite dish at the opening, we need to use the formula for the cross section of a parabola, which is y^2 = 4px, where p is the distance from the vertex to the focus. In this case, p = 4 and y = 5 (half the depth of the dish). We can solve for x by plugging in these values and solving for y:

25 = 4(4)x

x = 25/16

Since we need to find the width at the opening, we need to double this value to account for both sides of the dish:

2x = 25/8

To round to the nearest foot, we need to find the nearest whole number. Since 25/8 is between 3 and 4, we round up to 4, giving us a width of 23 feet.

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Answer:

Benjamins cost this month would be $27.

The monthly cost for x slices of pizza would be x+20

Step-by-step explanation:

The new surface area is (1/4)S, which is equivalent to (1/4) times the original surface area.

Let the original surface area of the figure be S.

If the new surface area is 1/4 of the original, then the new surface area is (1/4)S.

Since the surface area is proportional to the square of the dimensions, we know that the ratio of the new dimensions to the original dimensions must be √(1/4) = 1/2.

Therefore, if the original dimensions were x, y, and z, then the new dimensions must be (1/2)x, (1/2)y, and (1/2)z.

The new surface area can be calculated using the formula for the surface area of the figure with the new dimensions:

New surface area = 2((1/2)xy + (1/2)xz + (1/2)yz)

                  = xy + xz + yz

But we know that the new surface area is (1/4)S, so we have:

xy + xz + yz = (1/4)S

Multiplying both sides by 4 gives:

4xy + 4xz + 4yz = S

Factor out 4:

4(x+y+z)² - 4x² - 4y² - 4z² = S

Substituting the expressions for the new dimensions:

4((1/2)(x+y+z))² - 4((1/2)x)² - 4((1/2)y)² - 4((1/2)z)² = S

Simplifying:

(1/4)(x+y+z)² - (1/4)x² - (1/4)y² - (1/4)z² = (1/4)S

Multiplying both sides by 4 again:

x² + 2xy + y² + 2xz + 2yz + z² - x² - y² - z² = S

Simplifying:

2xy + 2xz + 2yz = S

Substituting (1/2)x, (1/2)y, and (1/2)z for x, y, and z:

2(1/2)(1/2)xy + 2(1/2)(1/2)xz + 2(1/2)(1/2)yz = (1/4)S

Simplifying:

(1/4)xy + (1/4)xz + (1/4)yz = (1/4)S

Therefore, the new surface area is (1/4)S, which is equivalent to (1/4) times the original surface area.

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The marginal propensity to consume (MPC) for Australia in 2021, when total income (Y) is 10, is 0.3.

The consumption function for Australia in 2021 is given as C = 0.0052 + 0.3Y + 20, where C represents the total consumption and Y represents the total income. To calculate the MPC, we need to determine how much of an increase in income is consumed rather than saved. In this case, when Y = 10, we substitute the value into the consumption function:

C = 0.0052 + 0.3(10) + 20

C = 0.0052 + 3 + 20

C = 23.0052

Next, we calculate the consumption when income increases by a small amount, let's say ΔY. So, when Y increases to Y + ΔY, the consumption function becomes:

C' = 0.0052 + 0.3(Y + ΔY) + 20

C' = 0.0052 + 0.3Y + 0.3ΔY + 20

To find the MPC, we subtract the initial consumption (C) from the new consumption (C') and divide it by the change in income (ΔY):

MPC = (C' - C) / ΔY

MPC = (0.0052 + 0.3Y + 0.3ΔY + 20 - 23.0052) / ΔY

Simplifying the equation, we can cancel out the terms that don't involve ΔY:

MPC = (0.3ΔY) / ΔY

MPC = 0.3

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The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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The two mathematical expressions 5(3t - 6) and 15t - 30 are equivalent.

Mathematical expressions are equivalent or equal when they have the same value.

Equivalent expressions work the same way despite their different looks.

We determine that two or more mathematical expressions are equivalent when simplified or yield the same value after substituting the variables.

Equivalent mathematical expressions are usually indicated using the equation symbol (=).

5(3t - 6) = 15t - 30

If t = 3

5(3t - 6) = 15

15t - 30 = 15

Thus, if two algebraic expressions are equivalent, then the two expressions have the same value.

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A. Grow wheat in the sunshine, instead of the shade, or make sure that the wheat in the shade gets light.

B. This would overcome the problem of the slugs eating the wheat.

C. Yes, it would.

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Hi my lil bunny!

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Let's solve your equation step-by-step.

\(2x-3x+5=18\)

Step 1: Simplify both sides of the equation.

\(2x-3x+5=18\\2x + -3x + 5 = 18\)

\(( 2x + -3x ) + ( 5) = 18\) (Combine Like Terms)

\(-x + 5 = 18\\-x + 5 = 18\)

Step 2: Subtract 5 from both sides.

\(-x + 5 - 5 = 18 - 5 \\-x = 13\)

Step 3: Divide both sides by -1.

\(\frac{-x}{-1} = \frac{13}{-1} \\x = -13\)

Answer : \(\boxed {x = -13}\)

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Have a great day/night!

❀*May*❀

Answer:

Step-by-step explanation:

\( \mathsf{2x - 3x + 5 = 18}\)

Collect like terms

\( \mathsf{ - x + 5 = 18}\)

Move constant to R.H.S and change it's sign

\( \mathsf{ - x = 18 - 5} \)

Calculate the difference

\( - x = 13\)

Change the signs on both sides of the equation

\( \mathsf{x = - 13}\)

---------------------------------------------------------------

\( \blue{ \mathsf{verification}}\)

\( \mathsf{LHS \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: RHS}\)

\( \mathsf{2x - 3x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 18}\)

\( \mathsf{ = 2 \times ( - 13) - 3 \times ( - 13) + 5}\)

\( \mathsf{ - 26 + 39 + 5}\)

\( \mathsf{ = 13 + 5}\)

\( = 18\)

Thus, LHS = RHS

hope I helped!

Best regards!

Slope = (-2 - 4)/(14 - (-1)) = -6/15

Factor when dividing the function the remainder is zero. The factorized form of the function \(f(x)=-3x^3+12x^2\) is -3x²(x-4).

A factor of a function is a factor which when multiplied by another the result is the function itself.

We know that in order to factorize a function of the third-order, we need to take the common terms out from the expression,

\(f(x)=-3x^3+12x^2\)

Taking -3x² as the common terms out of the entire function,

\(\begin{aligned}f(x)&=-3x^3+12x^2\\\\&=-3x^2(x-4)\end{aligned}\)

Hence, the factorized function \(f(x)=-3x^3+12x^2\) is -3x²(x-4).

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Answer:15)5760.1 6)78. 17)582.4 18)112

Step-by-step explanation:

Answer:

-x

Step-by-step explanation:

12 5/6=77/6

77/6x-14x+1/6x

77/6x+1/6x-14x

78/6x-14x

78/6x-84/6x

-6/6x

-x

Answer:

-9750

Step-by-step explanation: