What is 7/8 minus 6 3/4

Answer:

x² + y² - 12x - 6y + 29 = 0

Step-by-step explanation:

Simplifying the equation using (a + b)² = a² + 2ab + b²:

(x - 6)² + (y - 3)² = 16

⇒ [x² - 2(x)(6) + 6²] + [y² - 2(y)(3) + 3²] = 16

⇒ [x² - 12x + 36] + [y² - 6y + 9] = 16

⇒ x² - 12x + 36 + y² - 6y + 9 = 16

General form of a circle = x² + y² + Cx + Dy + E = 0

Before we reorganize the equation in general form, we need to have the R.H.S as 0. For that, we need to subtract 16 both sides.

Subtract 16 both sides:

⇒ x² - 12x + 36 + y² - 6y + 9 = 16

⇒ x² - 12x + 36 + y² - 6y + 9 - 16 = 16 - 16

⇒ x² - 12x + 20 + y² - 6y + 9 = 0

Reorganizing the equation in general form:

x² - 12x + 20 + y² - 6y + 9 = 0

⇒ x² - 12x + 20 + y² - 6y + 9 = 0

⇒ x² + y² - 12x + 20 - 6y + 9 = 0

⇒ x² + y² - 12x + 20 - 6y + 9 = 0

⇒ x² + y² - 12x - 6y + 20 + 9 = 0

⇒ x² + y² - 12x - 6y + 29 = 0

Thus, the equation in general form is x² + y² - 12x - 6y + 29 = 0.

Answer: a:c = 1:3 / a:b:c = 1:2:3

Step-by-step explanation: a = 1 / b = 2 / c = 3

Answer:

a:c = 1:3

a:b:c = 1:2:3

Step-by-step explanation:

This is actually a very easy question! We just have to break the numbers up and make a sort of graph I guess? Since a:b equals 1:2, this means that a equals 1 and b equals 2. Since b:c equals 2:3 this means that c is equal to 3 and we already know that b is equal to 2.

Chart/Graph:

a = 1

b= 2

c = 3

(We use this chart to identify a:c and a:b:c)

Answer:

18

Step-by-step explanation:

first figure out how much it was dilated by. 4.4 times X equals 15.4. So 15.4 divided by 4.4 gives us X, which is 3.5.

multiply 7.2 by 3.5, and get 25.2, then subtract 7.2 to get C'C. Its 18.

Answer:

C'C = 18

Step-by-step explanation:

A'B' = 7.2

B'C' = 4.4

BC = 15.4

4.4 * X = 15.4

4.4 * 3.5 = 15.4

3.5 is the dilation

7.2 * 3.5 = 25.2

AB = 25.2

25.2 - 7.2 = 18

C'C = 18

The following scenario is a good example of a matched-pairs experiment.

So, the given situation of a pesticide manufacturer is a perfect example of a matched-pairs experiment.

Therefore, the following scenario is best described as an example of a matched-pairs experiment.

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The correct question is given below:
A pesticide manufacturer is developing a new type of organic pesticide for a particular plant. To study the effectiveness of the new pesticide, a large sample of young plants is collected. The sample is then separated into many groups of two plants based upon age, size and soil type so that plants with similar characteristics are grouped together. One of the two plants in each group is randomly chosen and administered the pesticide, while both plants are placed in a controlled environment and are exposed to the possibility of attack from the target pests. The plants are inspected regularly over a 3 month period and the results are recorded for comparison.

This scenario is best described as an example of...

Answer:

Your answer is A

Step-by-step explanation:

Answer: Lower-right corner  \(3^7 \times \frac{1}{3^4}\)

Explanation:

We use the rule that

\(a^{-b} = \frac{1}{a^b}\)

The negative exponent tells us to apply the reciprocal if we want the exponent to be positive.

In this case, a = 3 and b = 4

So,

\(a^{-b} = \frac{1}{a^b}\\\\3^{-4} = \frac{1}{3^4}\)

which is why overall,

\(3^7\times 3^{-4} = 3^7 \times \frac{1}{3^4}\)

Answer:

Step-by-step explanation:

The rising time of a star depends on its right ascension and the latitude of the observer.

In this case, since both stars have the same declination, their altitude above the horizon at any given time will be the same. Therefore, the star with the smaller right ascension will rise first.

Since star A has a right ascension of 5h and star B has a right ascension of 2h, star B will rise first. This is because the Earth rotates from west to east, causing the stars to appear to move from east to west in the sky. As a result, stars with smaller right ascensions will appear to rise earlier in the east than those with larger right ascensions.

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The probability that a person will wait for more than 4 minutes is 0.9332

\(\mu=7\text{ min}\)

\(\sigma=2\text{ min}\)

\(x=4\text{ min}\)

Using the z-score formula,

\(z=\frac{x-\mu}{\sigma}\)

Hence,

\(z=\frac{4-7}{2}\)

\(z=\frac{-3}{2}\)

\(z=-1.5\)

From the z-scores table, the probability that a person will wait for more than 4 minutes is

\(z=-1.5\)

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Answer:

D

Step-by-step explanation:

Answer:

38 degrees

Step-by-step explanation:

DTU added to STD will make STU so we can make an equation for this

(4x+10)+(102)=19x+7

4x+112=19x+7

-4x.      -4x

112=15x+7

-7.         -7

105=15x

/15.  /15

7=x

now to find DTU we fill in x

4(7)+10

28+10

38 degrees

hopes this helps

It is known that the radius is half the diameter of the circle so it follows:

1. For d=16 meters it follows:

The radius is 8 meters.

2. For d=4 centimeters it follows:

Hence the radius is 2 centimeters.

Procedure

- Calculate the height of the lowerrectangle

height = 11x - 4 - (6x - 18)

= 11x - 4 - 6x + 18

= 5x + 14

-Calculate the area of the lower rectangle

Area = (5x + 14) (2x + 5)

= 10x(2) + 25x + 28x + 70

= 10x(2) + 53x + 70

-Calculate the area of the upper triangle

Area = (4x + 22)(6x - 18)

= 24x(2) - 72x + 132x - 396

= 24x(2) + 60x - 396

-Calculate the area of the kitchen

Area = 10x(2) + 53x + 70 + 24x(2) + 60x - 396

= 34x(2) + 113x - 396 m(2) Number two is an exponent

but I cannt write exponents

Answer:

25 cases of 12 bottles

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Each output is 3 more than the input

Answer: the answer is c, y + 3

Answer:

c = kh²

Step-by-step explanation:

there is not much to explain, as this is basically self-explanatory.

you could also say it goes directly with the square of h.

the square of h = h².

The expression c = kh² represents k as the constant and c varies directly as the square of h.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that c varies directly so it means it is a direct proportion, not the inverse.

For example, x ∝ y is a direct proportion while x ∝ 1/y is an inverse proportion.

So,

c ∝ h²

Now if we remove proportion then there will be a constant of proportionality.

So,

c = kh².

Hence "The expression c = kh² represents k as the constant and c varies directly as the square of h".

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Step-by-step explanation:

I know the last one is : A.)letter M.

Answer:

4

Step-by-step explanation:

1/2 of 24=12

1/3 of 12=4

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Answer:

d = 146

Step-by-step explanation:

Answer:

d=146

Step-by-step explanation:

the sqrt of 2(2) is 4 which can be simplified to 2 and the 12 raised to the second power is 144 so 2+144 is 146

Answer:

g(x) = [x/6]

Step-by-step explanation:

The given graph is f(x)=[x]

On stretching the function f(x) by a factor of 6, the new function g(x) is

g(x) = f(x/6)

So, g(x) = [x/6]

Hence, on stretching the f(x) by a factor of 6, the new function g(x)=[x/6].

Note that none of the given options matched.

The answer is, (1)  the probability of switching from Brand 3 to Brand 1 after 3 months of advertising is 0.1 * 0.1 * 0.1 = 0.001 (or 0.1%)., (2) x = 0.1667 (or 16.67%) ,y = 0.3571 (or 35.71%) ,z = 0.4762 (or 47.62%) , (3) μ33 = 1 / P[3,3] = 1 / 0.8 = 1.25 months. , (4) μ12 = 1 / P[1,2] = 1 / 0.2 = 5 months.

1. To determine the probability of switching from Brand 3 to Brand 1 after 3 months of advertising, we can use the transition matrix.

The probability can be calculated by multiplying the probabilities of transitioning from Brand 3 to Brand 1 over the course of 3 months.

The transition probability from Brand 3 to Brand 1 is 0.1 (P[3,1] = 0.1), and we need to multiply it by itself three times since we want to find the probability after 3 months.

Therefore, the probability of switching from Brand 3 to Brand 1 after 3 months of advertising is 0.1 * 0.1 * 0.1 = 0.001 (or 0.1%).

2. To determine the steady state probabilities, we need to solve the equation P = P * P, where P is the transition matrix and * represents matrix multiplication.

The steady state probabilities are the eigenvector corresponding to the eigenvalue 1.

Let x, y, and z represent the steady state probabilities for Brand 1, Brand 2, and Brand 3, respectively.

We have the following equations:
0.8x + 0.3y + 0.1z = x
0.2x + 0.5y + 0.1z = y
0.2y + 0.8z = z

Simplifying the equations, we get:
0.8x + 0.3y + 0.1z - x = 0
0.2x + 0.5y + 0.1z - y = 0
-0.2y + 0.8z - z = 0

Solving these equations, we find that the steady state probabilities are:
x = 0.1667 (or 16.67%)
y = 0.3571 (or 35.71%)
z = 0.4762 (or 47.62%)

3. The average number of months it takes a customer to return to Brand 3 can be found by calculating the expected number of transitions from Brand 3 to Brand 3.

This is represented by the element μ33 in the transition matrix.

In the given transition matrix, P[3,3] represents the probability of staying with Brand 3 after one month.

Therefore, μ33 = 1 / P[3,3] = 1 / 0.8 = 1.25 months.

4. To determine the average number of months it takes to switch from Brand 1 to Brand 2, we need to calculate the expected number of transitions from Brand 1 to Brand 2.

This is represented by the element μ12 in the transition matrix.

In the given transition matrix, P[1,2] represents the probability of switching from Brand 1 to Brand 2 after one month. Therefore, μ12 = 1 / P[1,2] = 1 / 0.2 = 5 months.

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The term that describes the distribution of the given graph is "skewed left."

Based on the given dot plot, the distribution of the graph can be described as skewed left.

A skewed left distribution, also known as a negatively skewed distribution, is characterized by a longer tail on the left side of the graph.

In this case, the values 1, 1, 1, 2, and 3 are clustered on the left side, indicating a concentration of lower values.

The distribution gradually becomes less dense as the values increase.

The term "skewed left" accurately describes the shape of the graph in this dot plot.

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Given:

Diameter of the hole = 30 cm

To find:

The area of the hole.

Solution:

The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:

\(r=\dfrac{30}{2}\)

\(r=15\)

Area of a circle is:

\(A=\pi r^2\)

Putting \(\pi = 3.14\) and \(r=15\) in the above formula, we get

\(A=(3.14)(15)^2\)

\(A=(3.14)(225)\)

\(A=706.5\)

Therefore, the area of the hold is 706.5 square cm.

i love you and Add an independent clause to each dependent clause below to complete

No. The total amount after ordering n drinks can't be arithmetic because arithmetic consists of a number not an expression.

It is given that we have a reward card with which we can earn a free drink after every 12 drink we buy.

We have to find out that is the total amount after ordering n drinks can be arithmetic ?

What do you mean by arithmetic ?

Arithmetic meant to work with numbers by doing processes such as ; addition, subtraction, multiplication, and division.

As per the question ,

We earn a free drink after every 12 drinks.

That meant , if we order n drinks then we will get free drink after every 12 drink.

As we know that ;

Arithmetic only has numbers and it doesn't consist of variables.

The money spent at Biggby is an expression about n and n is a variable , so it can't be considered arithmetic.

Thus , it can't be considered as an arithmetic because arithmetic has only numbers and no variables.

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The expression to find the width of the rectangle is 2x + 3.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Length of the rectangle = 16 inches

Area of the rectangle = 32x + 48

Width of the rectangle = w

Now,

Area of the rectangle = Length x Width

32x + 48 = 16 x w

Taking 16 as common.

16 (2x + 3) = 16w

2x + 3 = w

w = 2x + 3

Thus,

The width of the rectangle is 2x + 3.

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The answer is 0.64 or 64%. The Pearson correlation (r) measures the strength and direction of the relationship between two variables, in this case, X and Y.

To determine the proportion of variance in Y that is predicted by the relationship with X, you need to square the correlation coefficient (r²). In this case, r = 0.80, so r² = 0.80 * 0.80 = 0.64 or 64%. Therefore, 64% of the variance in the Y scores is predicted by the relationship with X. To calculate the amount of variance in Y scores predicted by the relationship with X, we need to square the correlation coefficient (r) which gives us the coefficient of determination (r²).
r² = 0.80² = 0.64
This means that 64% of the variance in Y scores is predicted by the relationship with X.

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Answer:

The answer is 0.64 or 64%. The Pearson correlation (r) measures the strength and direction of the relationship between two variables, in this case, X and Y.

To determine the proportion of variance in Y that is predicted by the relationship with X, you need to square the correlation coefficient (r²). In this case, r = 0.80, so r² = 0.80 * 0.80 = 0.64 or 64%. Therefore, 64% of the variance in the Y scores is predicted by the relationship with X. To calculate the amount of variance in Y scores predicted by the relationship with X, we need to square the correlation coefficient (r) which gives us the coefficient of determination (r²).

r² = 0.80² = 0.64

This means that 64% of the variance in Y scores is predicted by the relationship with X.

Step-by-step explanation:

If the volume of any object is 1 cubic unit, then it has a volume of 1 cubic unit. Then the correct option is A.

A measure of volume is a standard instrument used to determine the volume or capacity of an item or place in three axes.

If the volume of any object is 1 cubic unit then this is called the cubic unit volume of that object.

The unit volume is given as

Volume = 1 cubic unit

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The probability that a family with 4 children has no more than 3 boys is 15/16.

To find the probability that a family with 4 children has no more than 3 boys, we can use the binomial distribution.

The binomial distribution is used to calculate the probability of obtaining a certain number of successes (boys in this case) in a fixed number of trials (children in this case), where each trial has only two possible outcomes (boy or girl) and the trials are independent.

Let X be the number of boys in the family. We want to find P(X ≤ 3), which is the probability of having no more than 3 boys. Since the probability of having a boy is 1/2 and the trials are independent, we can use the binomial distribution formula:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= (1/2)⁴ + 4(1/2)⁴ + 6(1/2)⁴ + 4(1/2)⁴

= 15/16

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• We are required to find Z so that the area is to the right, this means that the area is to be positive .

• 88 % can be converted to 88/100 = 0.88

• z = 1-0.88 = 0.12

The value tha corresponds with 0.12 = 0.04775

= 0.048

using the cumulative standard normal z score of 0.12 = 0.5478