Two squares are chosen at random on a chess board. The probability that they have a side in common is

A. 1/9
B. 2/7
C. 1/ 18
D. None of these

Answer:

3+10=13+17=30+24=54+0=54

The factorization of the expression 36x⁴y³ - 16x³y is 4x³y(9xy² - 4)

Factorization or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorization of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.

To the factor, a number means to break it up into numbers that can be multiplied to get the original number.

In the given expression, 36x⁴y³ - 16x³y can be factorized as

36x⁴y³ - 16x³y = 4x³y(9xy² - 4)

The common factor in the expression is 4x³y

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Answer:

Step-by-step explanation:

11 ÷ 4 = 2 + 2 = 4

1 + 4 + 4 = 9

19 ÷ 4 = 4

Answer:

I think its 4.

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

5 Raise to the power of 3

125-4=

121

Answer:

Step-by-step explanation:

121 simplify the equation

Answer:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Step-by-step explanation:

Google

Answer:

2, 3, 5, 7, 11, 13, 17, 19, 23 and 29!

Step-by-step explanation:

Answer:

\(f(x) = 6x^2 - 11x + 4\)

\(g(x) = 3x - 4\)

\(q(x) = 2x - 1\)

Step-by-step explanation:

Represent the two polynomials with \(f(x)\) and \(g(x)\)

Let

\(f(x) = 6x^2 - 11x + 4\)

\(g(x) = 3x - 4\)

The quotient of two polynomial is the result of division between the two polynomials

Let q(x) represent the quotient polynomial

\(q(x) = \frac{f(x)}{g(x)}\)

Where g(x) is the divisor

\(q(x) = \frac{6x^2 - 11x + 4}{3x - 4}\)

Factorize the numerator

\(q(x) = \frac{6x^2 - 3x - 8x + 4}{3x - 4}\)

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

\(q(x) = 2x - 1\)

Notice that: q(x) and g(x) have the same degree of 1

To complete the blank, the answer will be represented as: 9 × \(1 \frac{4}{5} \) is greater than \(1 \frac{4}{5} \).

We need to convert the number on Left Hand Side and Right Hand Side from mixed fraction to fraction.

LHS = 9 × ((5×1)+4)/5

Solving the brackets

LHS = 9 × (9/5)

Multiply the numbers

LHS = 81/5

Converting the numbers on RHS

RHS = ((5×1)+4)/5

RHS = 9/5

We see that number of LHS is greater than RHS, hence, greater than will be the correct option.

Alternatively, we do not to solve the numbers. As both LHS and RHS contain same mixed fraction, with extra presence of 9 on LHS with multiplication sign. It simply increases the value of LHS number and hence it will be greater.

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The formula for work is Work=Force × Distance, i.e., W=(F)x(d). Where F represents Force and d represents Distance.

Work is created by applying force and moving in the force's direction. Force and displacement are two vectors, and work is their dot product. Work is a scalar quantity as a consequence. The joule (J) is the SI unit of work. Also we can derive the formula as W = (F cos θ)d, where d represents the magnitude of distance.

Work may be estimated if the force acting along the path is constant by multiplying the length of the path by the component of the force acting along the path. To quantitatively express this concept, the work W is equal to the force f times the distance d, or W=(F)x(d). If the force is applied at an angle to the displacement, the work is W = (F cosθ)d.

Therefore, it is all about the work formula.

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Answer: m²-mn

Explanation: multiply the letter outside the brackets by everything inside the brackets, so, m×m = m² and m×n = mn, altogether it is m²-mn.

The probability of choosing all five white balls correctly from a bowl of 69 white balls and the probability of choosing the correct red ball from a bowl of 29 red balls is \({}^{69}C_5/29\) .

The probability of choosing all five white balls correctly can be calculated using the formula for combinations, where the order does not matter and the balls are chosen without replacement. The probability is given by:

P(Choosing all 5 white balls correctly) = (Number of ways to choose 5 white balls correctly) / (Total number of possible combinations)

The number of ways to choose 5 white balls correctly is 1, as there is only one correct combination.

The total number of possible combinations can be calculated using the formula for combinations, where we choose 5 balls out of 69. It is given by:

Total number of combinations = \({}^{69}C_5\)

Next, we need to calculate the probability of choosing the correct red ball from a bowl of 29 red balls. Since there is only one correct red ball, the probability is 1/29.

Finally, to find the likelihood of being the winner of the Powerball lottery, we multiply the probability of choosing all five white balls correctly by the probability of choosing the correct red ball:

Likelihood = P(Choosing all 5 white balls correctly) * P(Choosing correct red ball)

=\({}^{69}C_5 \times 1/29\\\)

This gives us the probability of being the winner of the Powerball lottery.

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Answer:

wouldn't this be 4,2?

Step-by-step explanation:

i remember doing this in school last year and dilation means you would multiple the coordinates by what ever the dilation factor was, in this case its 2.

Answers:

======================================================

Explanations:

4.6783x10^3     P.E.M.D.A.S.   exponent before multiplication  10^3 =1000  

1000x4.6783= 4,678.3

The correct option is B) one minus the probability of not rejecting a false null hypothesis.

The power of a statistical test refers to its ability to correctly reject a false null hypothesis. It is the probability of rejecting a false null hypothesis, or in other words, the probability of correctly concluding that there is an effect or difference when one truly exists.

Option A) "the probability of rejecting a true null hypothesis" is incorrect because the power of a test is not related to the probability of rejecting a true null hypothesis. The power is focused on the ability to detect false null hypotheses.

Option C) "Type II error" is incorrect because Type II error refers to failing to reject a false null hypothesis. It is the error of accepting a false null hypothesis or failing to detect an effect or difference when one truly exists.

Option D) "Type I error" is also incorrect because Type I error refers to rejecting a true null hypothesis, which is not directly related to the power of a test.

Therefore, the correct option is B) one minus the probability of not rejecting a false null hypothesis, which represents the power of a test.

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Answer:

loolooloolool

Step-by-step explanation:

Answer:

3x = 40 * 3

40= x

120 juice

40 C

Answer:

A.

Step-by-step explanation:

Answer:

x = 42

Step-by-step explanation:

\(\frac{x}{6} = 7\)

Multiply both side of the equation by 6.

\(6(\frac{x}{6} ) = 7 * 6\)

∴ x = 42

So, the answer is D.

Hope this helps

Answer:

\(78.54:314.16\)

Step-by-step explanation:

First circle area with diameter 10 inches =

\(\pi r^2\)

\(\pi \times 5^2\)

\(=78.53981\)

Second circle area with diameter 20 inches =

\(\pi r^2\)

\(\pi \times 10^2\)

\(=314.159265\)

\(78.53981:314.159265\)

Answer:

78.5 : 314.2

Step-by-step explanation:

Diameter of the first Circle = 10 inches

Diameter of the second Circle = 2(10) [TWICE] = 20 inches

So,

Area of the first circle:

Radius = 5 inches

Area = πr²

A = (3.14)(5)²

A = 78.5 inches²

Area of the second circle:

Radius = 10 inches

Area = πr²

Area = (3.14)(10)²

Area = 314. 2 inches

Now the ratio of the area of smaller circle to the larger circle is

78.5 : 314.2

Answer:

C.  m Angle M = 113o and m Angle N = 61o

Step-by-step explanation:

It's the only answer that makes all the angles added together equal 360 degrees.

67 + 119 + 113 + 61 = 360

Answer:

C

Step-by-step explanation:

Answer:

a metal brush to simulate wear and tear from wind, rain, and other environmental factors. The shingle is then exposed to extreme temperatures and humidity levelsthat it may encounter during its lifetime, and the overall effect of these tests is used to estimate the shingle's durability over time.

The manufacturer uses statistical analysis to determine the expected failure rate of its shingles based on the results of the accelerated-life

The equation used to find the distance of the flowerbed from the hive is called the "time equation".

The flowerbed is 900 feet far from the hive.

Find the traveling time

The bee spends 12 minutes hunting down the nectar in the flowerbed. Since it was away from the hive for a total of 16 minutes, the traveling time is

16min - 12min = 4 min

Convert the Minutes to seconds

1 minute = 60 seconds

4 minutes = 4*60 = 240 seconds

Find the time each way

The total time is 240 seconds, but it is not divided evenly.

Let the time there = t

Let the time back = 240 - t

The distances are the same

r = 10 m/s

r1 = 6 m/s

t1 = t

t2 = 240 - t

dthere = dback

d = rate * time

10 m/s *t = 6 m/s (240 - t)      

Remove the brackets on the right.

10 * t = 6*240 - 6t                

Combine the like terms on the right.

10t = 1440 - 6t                        

Add 4t to both sides

10t + 6t = 1440 - 6t + 6t          

Combine

16t = 1440                            

Divide both sides by 16

16t/16 = 1440/16                    

Do the division

t = 90                                    

Find the height

d = ?

r = 10 m/s

t = 90 second

d = r*t

d = 10 * 90 = 900 feet

The flowerbed is 900 feet far from the hive.

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The complete question is:

A babe flies at 10 feet per second directly to a flowerbed from its hive. the bee stays at the flowerbed for 12 minutes and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 16 minutes.

What equation can you use to find the distance of the flowerbed from the hive?

The number of pheasants in 2012 was 1832. The number of pheasants in 2016 was 422. The minimum viable density is 100 pheasants per hectare.

So, we need to find out the year in which the population will fall below 100 pheasants per hectare.

First, we need to find out the rate of decline per year which can be calculated as follows: Rate of decline per year = (1832 - 422) / (2016 - 2012)= 1410 / 4= 352.5 per yearNow, let the number of pheasants per hectare be y after t years from 2012.

Then, y = 1832 - 352.5t (as we know the rate of decline per year)We need to find the year in which the population will fall below 100 pheasants per hectare. So, we need to solve the equation:1832 - 352.5t = 100⇒ 352.5t = 1732⇒ t = 1732 / 352.5⇒ t = 4.91 Therefore, the population will fall below the minimum viable density of 100 pheasants per hectare after 4.91 years from 2012, which is around 2017 or 2018.

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Answer:

x is a horizontal line and y is a vertical line

a. the equation for the hyperbola is x^2 / 4 - y^2 / 12 = 1. b. the equation for the hyperbola is [(x - 4)^2 / 9] - [(y - 3)^2 / 7] = 1.

A) To find the equation for the hyperbola with vertices (±2, 0) and foci (±4, 0), we can use the standard form equation for a hyperbola:

[(x - h)^2 / a^2] - [(y - k)^2 / b^2] = 1,

where (h, k) represents the center of the hyperbola, a is the distance from the center to the vertices, and c is the distance from the center to the foci.

In this case, the center is at (0, 0) since the vertices are symmetric with respect to the y-axis. The distance from the center to the vertices is a = 2, and the distance from the center to the foci is c = 4.

Using the formula c^2 = a^2 + b^2, we can solve for b^2:

b^2 = c^2 - a^2 = 4^2 - 2^2 = 16 - 4 = 12.

Now we have all the necessary values to write the equation:

[(x - 0)^2 / 2^2] - [(y - 0)^2 / √12^2] = 1.

Simplifying further, we get:

x^2 / 4 - y^2 / 12 = 1.

Therefore, the equation for the hyperbola is:

x^2 / 4 - y^2 / 12 = 1.

B) To find the equation for the hyperbola with foci (4, 0) and (4, 6) and asymptotes y = 1 + (1/2)x and y = 5 - (1/2)x, we can use the standard form equation for a hyperbola:

[(x - h)^2 / a^2] - [(y - k)^2 / b^2] = 1,

where (h, k) represents the center of the hyperbola, a is the distance from the center to the vertices, and b is the distance from the center to the foci.

From the given information, we can determine that the center of the hyperbola is (4, 3), which is the midpoint between the two foci.

The distance between the center and each focus is c, and in this case, it is c = 4 since both foci have the same x-coordinate.

The distance from the center to the vertices is a, which can be calculated using the distance formula:

a = (1/2) * sqrt((4-4)^2 + (6-0)^2) = (1/2) * sqrt(0 + 36) = 3.

Now we have all the necessary values to write the equation:

[(x - 4)^2 / 3^2] - [(y - 3)^2 / b^2] = 1.

To find b^2, we can use the relationship between a, b, and c:

c^2 = a^2 + b^2.

Since c = 4 and a = 3, we can solve for b^2:

4^2 = 3^2 + b^2,

16 = 9 + b^2,

b^2 = 16 - 9 = 7.

Plugging in the values, the equation for the hyperbola is:

[(x - 4)^2 / 9] - [(y - 3)^2 / 7] = 1.

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Answer:

angle ABC=72 degrees

Step-by-step explanation:

8x+6x+6x=180 degrees   (all triangles contain 180 degrees)

20x=180

x=9

angle ABC=8x or (8)(9)=72 degrees

Answer:

72°

Step-by-step explanation:

Angle A = 6x

Angle B = 8x

Angle C = 6x

The sum of all interior angles in a triangle is 180°, which means angles A, B and C add up to 180:

A + B + C = 180

substitute in the values for A B and C:

6x + 8x + 6x = 180

Simplify by combining like terms:

6x + 6x + 8x = 180

20x = 180

solve for x:

20x/20 = 180/20

x = 9

Since we know x = 9 and angle B = 8x, u can substitute in the value of x to find the value of angle B:

B = 8x

B = 8(9)

B = 72°

hope this helps!

Answer:

non linear

Step-by-step explanation:

when you graph it, the line is a zero slope

The measure of angle 4 is equal to the sum of the measures of the two nonadjacent interior angles because the angle 4 is exterior to the given interior angles.

The sum of interior angles is equal to the exterior. From the given figure;

Interior angles are 25 degrees and 52 degrees.

The measure of angle 4 is equal to the sum of the measures of the two nonadjacent interior angles because the angle 4 is exterior to the given interior angles.

2) <4 = 25 + 52

<4 = 77 degrees

Hence the measure of angle 4 is 77 degrees

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Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.

To find the number of cups of rice that remained in the box, we need to calculate three-fourths (3/4) of the total amount of rice in the box.

The total amount of rice in the box is given as five and two-thirds cups. To work with a fraction, we can convert the mixed number to an improper fraction:

5 and 2/3 = (5 * 3 + 2) / 3 = 17/3 cups

Now, we can find three-fourths (3/4) of 17/3:

(3/4) * (17/3) = (3 * 17) / (4 * 3) = 51/12 = 4 and 3/12 = 4 and 1/4 cups

Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.

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