write as a single fraction 1/1_x+2/1+x​

Answer:

12

Step-by-step explanation:

60% is the same as 0.6

So, we simply multiply:

20 * 0.6 = 12

Therfore, the answer is 12

~~~Harsha~~~

A) A point C such that the distance from the origin can be plotted at (1, 0).

B) A point E which is at 4/5 closer to the origin than C can be plotted at (4/5, 0) = (0.8, 0)

A) Given a point O(0, 0).

A distance of 1 from the origin can be marked at 4 points :

(1, 0), (-1, 0), (0, 1) and (0, -1).

Using the distance formula, all the points from O is 1.

Let's take C as (1, 0).

B) Point E is at 4/5 closer to O than C.

Ratio of the distance between OE and EC is 4/5 : 1/5 = 4 : 1.

The section formula states that If a line with end points (x, y) and (x', y') is divided in the ratio m : n, then the divided point is,

P = [(mx' + nx)/(m + n) , (my' + ny)/ (m + n)]

Here (x, y) = (0, 0) and (x', y') = (1, 0)

m : n = 4 : 1

Using the section formula,

Coordinates of E = ((4 + 0)/ 5 , (0 + 0)/5) = (4/5, 0) = (0.8, 0).

If the distance between (0, 0) and (1, 0) is divided in to 5 segments, then the point E will be at 4th segment.

Hence the required coordinates are C(1, 0) and E(0.8, 0).

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Examining the figure, the missing angles are

angle AOC = 148 degrees

angle OCD =  21 degrees

Line AB and CB are tangents to the circle and hence will make angle 90 degrees at the point of tangent.

OA bisects angle AOC and angles ABC

In triangle AOB

90 + 32/2 + angle AOB = 180 degrees

angle AOB = 180 - 90 - 32 / 2

angle AOB =  74 degrees

angle AOC = 74 x 2 = 148 degrees

Using inscribed angle theorem

angle D = 1/2 x angle AOC

angle D = 74 degrees

In quadrilateral ABCD

143 + 32 + 74 + angle C = 360

angle C = 360 - 143 - 32 - 74

angle C = 111 degrees

angle OCD = 111 - 90

angle OCD = 21 degrees

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Answer:

AB = 10

CD = 10

AD = 29

BC = 29

Step-by-step explanation:

perimeter = AD + BC + AB + CD

AD + BC + AB + CD = 78

Let AB = x

Opposite sides of a parallelogram are congruent.

AB = CD = x

AD = BC = 2x + 9

2x + 9 + 2x + 9 + x + x = 78

6x + 18 = 78

6x = 60

x = 10

2x + 9 = 2(10) + 9 = 29

AB = 10

CD = 10

AD = 29

BC = 29

Answer:

AB = 10 CD = 10 AD = 29 BC = 29

Step-by-step explanation:

I did the test

Hope this helps :)

A point-slope equation for the line that has slope 3 and passes through the point (5, 21) is y - 21 = 3(x - 5).

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

At data point (5, 21) and a slope of 3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 21 = 3(x - 5)  

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[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ SA=2826 \end{cases} \implies 2826=4\pi r^2 \\\\\\ \cfrac{2826}{4\pi }=r^2\implies \cfrac{1413}{2\pi }=r^2\implies \sqrt{\cfrac{1413}{2\pi }}=r \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\sqrt{\frac{1413}{2\pi }} \end{cases}\implies V=\cfrac{4\pi }{3}\cdot \left( \sqrt{\cfrac{1413}{2\pi }} \right)^3 \\\\\\ V=\cfrac{4\pi }{3}\cdot \cfrac{4239\sqrt{157}}{2\pi \sqrt{2\pi }}\implies V=\cfrac{2826\sqrt{157}}{\sqrt{2\pi }}\implies V\approx 14126.42~mm^3[/tex]

The required, we need 740 feet of fencing to enclose the rectangular area of the Tarbosaurus enclosure.

To enclose the rectangular area needed for the Tarbosaurus, we need to calculate the perimeter of the rectangle, which is the sum of the lengths of all four sides. Since we are given the length and width of the rectangle, we can use the formula:

Perimeter = 2(length + width)

Substituting the given values, we get:

Perimeter = 2(300ft + 70ft)

Perimeter = 2(370ft)

Perimeter = 740ft

Therefore, we need 740 feet of fencing to enclose the rectangular area of the Tarbosaurus enclosure. Since the park can provide up to 800 feet of fencing, we have enough fencing to enclose the area.

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Answer:

Boys equal 189 and girls equal 108

Step-by-step explanation:

Let b = the number of boys

Let g = the number of girls

b + g = 297

Rewrite as g = 297 - b

[tex]\frac{4}{9}[/tex]b = [tex]\frac{7}{9}[/tex]g Multiply both sides by 9

4b = 7g  Substitute 297 - b for g

4b = 7(297 -b)  Distribute the 7

4b = 2079 - 7b   Add 7 b to both sides

11b = 2097  Divide both sides by 11

b = 189

There are 189 boys.

g = 297 - b  Substitute 189 for b to solve for g

g = 297 - 189

g = 180

The number of girls is 108.

Helping in  the name of Jesus.

To find a basis for a given subspace by deleting linearly dependent vectors, we start with a set of vectors that spans the subspace and then remove any vectors that can be expressed as a linear combination of the other vectors in the set. The remaining vectors form a basis for the subspace.

The term "subspace" refers to a subset of a vector space that is closed under addition and scalar multiplication. In other words, if we take any two vectors in the subspace and add them together or multiply them by a scalar, the result is also in the subspace.

The term "linearly" refers to the idea that vectors in a set are independent if none of them can be expressed as a linear combination of the others. A linear combination is simply a sum of scalar multiples of vectors. If we can find a non-trivial (i.e. not all zero) linear combination of vectors in a set that equals zero, then the vectors are linearly dependent.

Therefore, to find a basis for a given subspace by deleting linearly dependent vectors, we must start with a set of vectors that spans the subspace and then remove any vectors that can be expressed as a linear combination of the others. The remaining vectors form a linearly independent set that spans the subspace, and thus they form a basis for the subspace.

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Answer:

I think it is 5 I think that will help

Step-by-step explanation:

Answer:

option c

might not be congruent

Step-by-step explanation:

as the triangles that have three pairs of congruent angles i.e. AAA might not have the sides of the same length.

so, AAA is not a congruence rule or congruent postulate

ANOVA assumes that the observations from different groups (methods) are independent of each other.

i) The sample mean costs for the three methods are equal

A. False

Explanation: ANOVA tests the hypothesis that the population means of the three methods are equal, not the sample means.

ii) The daily costs from each method are from a Normal distribution

A. True

Explanation: ANOVA assumes that the data within each group (method) are normally distributed.

iii) The daily costs for each method are independent.

A. True

Explanation: ANOVA assumes that the observations within each group (method) are independent of each other.

iv) The sample standard deviations of the costs for each method are equal.

A. False

Explanation: ANOVA tests the hypothesis that the population variances of the three methods are equal, not the sample standard deviations.

v) The daily costs for the different methods are independent.

A. True

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Tukey's procedure to investigate significant differences between brands is x3. and x5.

x4. and x5.

To use Tukey's procedure to investigate significant differences between brands, we need to calculate the value of W and compare it with the critical value from the Studentized Range Distribution.

The formula for W is:

W = q(α, 5, 15) * √(MSE/4)

where q(α, 5, 15) is the critical value from the Studentized Range Distribution with α = 0.05, k = 5 (number of brands), and df = 15 (total degrees of freedom). Using a table or calculator, we find:

q(0.05, 5, 15) = 3.07

Plugging in the given values, we get:

W = 3.07 * √(450.8/4) ≈ 17.99

Since the computed value of F was found to be significant at level α = 0.05, we can conclude that there are significant differences between at least some of the brands. To determine which brands differ significantly from one another, we can use the formula:

|xi. - xj.| ≥ W / √(2MSE/4)

where xi. and xj. are the sample averages for any two brands i and j. If this inequality is satisfied, then we can say that the two brands differ significantly from one another.

Calculating the absolute differences between all pairs of sample averages and comparing them with the right-hand side of the inequality above, we get:

|462.0 - 502.8| = 40.8 ≥ 8.99 → Significant

|462.0 - 427.5| = 34.5 < 8.99 → Not significant

|462.0 - 469.3| = 7.3 < 8.99 → Not significant

|462.0 - 532.1| = 70.1 ≥ 8.99 → Significant

|502.8 - 427.5| = 75.3 ≥ 8.99 → Significant

|502.8 - 469.3| = 33.5 < 8.99 → Not significant

|502.8 - 532.1| = 29.3 < 8.99 → Not significant

|427.5 - 469.3| = 41.8 ≥ 8.99 → Significant

|427.5 - 532.1| = 104.6 ≥ 8.99 → Significant

|469.3 - 532.1| = 62.8 ≥ 8.99 → Significant

Using the critical value W, we can conclude that brands 1, 2, 4, and 5 differ significantly from one another. Therefore, the correct answer is:

x1. and x2.

x1. and x5.

x2. and x3.

x3. and x4.

x3. and x5.

x4. and x5.

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The coordinate of the triangle after the dilation is (3, 3), (6, 3), (3, 6)

From the question, we have the following parameters that can be used in our computation:

(5, 5), (10,5), (5, 10)

Scale factor = 3/5

The coordinate of the triangle after the dilation is calculated as

Image' = triangle * Scale factor

Substitute the known values in the above equation, so, we have the following representation

(5, 5), (10,5), (5, 10) * 3/5

Evaluate

(3, 3), (6, 3), (3, 6)

Hence, the image is (3, 3), (6, 3), (3, 6) and it is attached

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Answer:

{(12, 3), (11, 2), (10, 1), (9, 0), (8, 1), (7, 2), (6, 3)}

Step-by-step explanation:

In a function, all x-coordinates must be different.

{(7, 2), (100, 10), (13, –7), (7, 9), (10, 100), (4, –2), (5, 5)}

7 appears twice as an x-coordinate. Not a function.

{(1000, 10), (1000, 12), (1000, 16), (100, 5), (100, 7), (78, 3), (90, 5)}

1000 appears 3 times as an x-coordinate. Not a function.

{(6, 3), (5, 2), (4, 1), (3, 0), (4, –1), (5 ,–2), (6 ,–3)}

4 appears twice as an x-coordinate. Not a function.

{(12, 3), (11, 2), (10, 1), (9, 0), (8, 1), (7, 2), (6, 3)}

All x-coordinates are different. Function.

The ratio of family practice physicians to pediatricians is 5:1.

The ratio of family practice physicians to pediatricians can be found by dividing the number of family practice physicians by the number of pediatricians:

Ratio = Number of family practice physicians / Number of pediatricians

Ratio = 10 / 2

Ratio = 5

Therefore, the ratio of family practice physicians to pediatricians is 5:1.

The clinic administrator can use this ratio to assess the balance of the clinic's medical staff. If the ratio is not ideal, the administrator may need to take steps to hire more pediatricians or family practice physicians to better meet the needs of the clinic's patients.

Additionally, the ratio can be used to allocate resources, such as staff time and medical equipment, more effectively based on the patient population the clinic serves.

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The function V(x, y) = ax² + bxy + cy² is positive definite if and only if a > 0 and ac - b²/4 > 0.

The function V(x, y) is negative definite if and only if a < 0 and ac - b²/4 > 0.

The function V(x, y) is indefinite if and only if ac - b²/4 < 0.

In other words, the sign of a determines whether V(x, y) is positive or negative definite, and the discriminant ac - b²/4 determines whether it is definite or indefinite.

The proof of this theorem is based on the properties of the eigenvalues of the symmetric matrix A = [[a, b/2], [b/2, c]], which corresponds to the Hessian matrix of V(x, y) at the critical point (0, 0). The eigenvalues of A are λ1 = a + c + √(ac - b²/4) and λ2 = a + c - √(ac - b²/4), and their signs determine the definiteness of V(x, y).

If both eigenvalues are positive, V(x, y) is positive definite. If both eigenvalues are negative, V(x, y) is negative definite. If the eigenvalues have opposite signs, V(x, y) is indefinite. If one of the eigenvalues is zero, the test is inconclusive and higher-order derivatives must be considered.

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The expression of the linear equation is f(x) = 1200 - 5x

From the question, we have the following parameters that can be used in our computation:

Initial = 1200 gallons

Rate= 5 gallins per day

using the above as a guide, we have the following:

f(x) = Initial - Rate * x

substitute the known values in the above equation, so, we have the following representation

f(x) = 1200 - 5x

Hence, the function is f(x) = 1200 - 5x where x is the number of days

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The probability of getting an even number when rolling a six-sided number cube is 1/2 or 50%, the probability of getting an even number is the number of ways to roll an even number (3) divided by the total number of possible outcomes (6), which is 3/6 or simplified to 1/2. This means that if you roll the cube multiple times, you can expect to get an even number about half of the time.

The probability of getting an even number when rolling a six-sided number cube is 1/2 or 50%. This is because there are three even numbers (2, 4, 6) and three odd numbers (1, 3, 5) on the cube. Each number has an equal chance of being rolled, so the probability of rolling an even number is the same as rolling an odd number. Therefore, the probability of getting an even number is the number of ways to roll an even number (3) divided by the total number of possible outcomes (6), which is 3/6 or simplified to 1/2. This means that if you roll the cube multiple times, you can expect to get an even number about half of the time.

The probability of getting an even number when rolling a six-sided number cube can be determined by examining the possible outcomes. A standard six-sided cube has numbers ranging from 1 to 6. Among these, the even numbers are 2, 4, and 6. To find the probability, you can divide the number of successful outcomes (rolling an even number) by the total number of possible outcomes (rolling any number from 1 to 6).

In this case, there are 3 successful outcomes (2, 4, and 6) and 6 total possible outcomes (1, 2, 3, 4, 5, and 6). So, the probability of getting an even number is:

Probability = (Number of successful outcomes) / (Total number of possible outcomes) = 3/6

Upon simplification, you'll find the probability is:

Probability = 1/2 or 50%

Therefore, when rolling a six-sided number cube, the probability of getting an even number is 1/2 or 50%.

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This count includes the empty set, so there are 256 - 1 = 255 non-empty spacy subsets of {1, 2, 3, ..., 12}. To solve this problem, we can use a combination of counting and logical reasoning.

First, let's consider the smallest possible spacy subset of {1, 2, 3, ..., 12}. It must contain one of the integers 1, 2, or 3, but not any of the others in that sequence. The same is true for the next set of three integers, 4, 5, and 6, and so on. Therefore, we can break down the problem into smaller subproblems by considering subsets that start with each of the integers 1 through 10.

For example, let's consider subsets that start with 1. If a spacy subset contains 1, it cannot contain 2 or 3. It can, however, contain any of the other integers from 4 through 12. Therefore, there are 8 possible integers that can be included in such a subset. Similarly, if a spacy subset starts with 2, it can contain any of the integers 5 through 12, giving us 8 possible integers again. If a subset starts with 3, it can contain any of the integers 6 through 12, giving us 7 possible integers.

We can continue this process for each of the possible starting integers, and count up the number of possible subsets. The total number of spacy subsets of {1, 2, 3, ..., 12} is then the sum of these subproblems.

Starting with 1: 8 possible integers
Starting with 2: 8 possible integers
Starting with 3: 7 possible integers
Starting with 4: 7 possible integers
Starting with 5: 7 possible integers
Starting with 6: 6 possible integers
Starting with 7: 6 possible integers
Starting with 8: 6 possible integers
Starting with 9: 5 possible integers
Starting with 10: 5 possible integers

Adding these up, we get a total of 63 possible spacy subsets of {1, 2, 3, ..., 12}, including the empty set.

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The expression is simplified to 1/2(6²/4²)

Index forms are simply defined as those mathematical models that are used in the representation of values or variables that are too large or small in more convenient forms.

These index forms are known with other names which are;

Note that the rules of indices are;

From the information given, we have that;

36/32

Find the perfect squares

6/2× 16

6²/2(4)²

1/2(6²/4²)

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True. It is possible for a small treatment effect to still be statistically significant if the sample size is large enough.

We have,

Statistical significance is determined by the p-value, which measures the probability of obtaining the observed results if the null hypothesis (no difference between groups) is true.

A small treatment effect may still produce a low p-value if the sample size is large enough to detect even small differences.

However, the clinical significance of the treatment effect should also be considered in addition to statistical significance.

Thus,

It is possible for a small treatment effect to still be statistically significant if the sample size is large enough.

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The correct equation which represents the graph is,

⇒ y = 1/3x - 2

We know that;

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (3, -1) and (0, -2).

Now,

Since, The equation of line passes through the points (3, -1) and (0, -2).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 2 - (-1)) / (0 - 3)

m = - 1 / -3

m = 1/3

Thus, The equation of line with slope 1/3 is,

⇒ y - (-1)= 1/3 (x - 3)

⇒ y + 1 = 1/3x - 1

⇒ y = 1/3x - 2

Therefore, The equation of line passes through the points ((3, -1) and

(0, -2).will be;

⇒ y = 1/3x - 2

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Answer:

29.46 cubic inches is the answer

Step-by-step explanation:

An inscribed square is a square whose vertices lie on the circumference of a circle.

An inscribed square is a square that is drawn inside a circle, in such a way that all four vertices of the square lie on the circle's circumference. In other words, the square is inscribed within the circle.

To construct an inscribed square, the circle's diameter is divided into four equal parts, and perpendicular lines are drawn at the endpoints of each division. These lines intersect at the center of the circle. The length of each side of the square is then equal to the radius of the circle. The square can be seen as inscribed because its vertices all lie on the circle's circumference.

An inscribed square has some interesting properties, such as the fact that its diagonal is equal in length to the diameter of the circle that circumscribes it. Additionally, the area of an inscribed square can be used to approximate the area of a circle, and vice versa.

Hence, An inscribed square is a square whose vertices are on the circle's circumference.

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As per the given values, the volume of the prism is 1235/12 cubic centimetres

Length of the prism = 3.1/4 cm

Width of the prism = 5 cm

Height of the prism = 6.1/3 cm

Converting the given values to proper fractions -

Length of prism = 3.1/4

= (3 × 4 + 1)/4

= 13/4

Height of prism = 6.1/3

= (6 × 3 + 1)/3

= 19/3

Calculating the volume of a prism, by using the formula -

Volume = Length × Width × Height.

Substituting the values -

= 13/4 × 5 × 19/3

= 13 × 5 × 19/4 × 3

= 1235/12

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Answer:

D. There are no outliers

Step-by-step explanation:

So if you open your eyes and count the numbers you'll realize that 2 is in fact an outlier

The average residential electrical power use refers to the amount of electrical energy consumed by households. It is typically measured in hundreds of watts per hour. By examining the provided table, you can identify the specific values for average power consumption in a residential setting.

According to the given table, the average residential electrical power use is measured in kilowatt-hours (kWh) per month, not hundreds of watts per hour. However, to convert it to the requested unit, we can divide the monthly average by the number of hours in a month (720 hours) and then multiply by 100 to get the average residential electrical power use in hundreds of watts per hour.

So, for example, if the monthly average is 600 kWh, the hourly average would be (600 kWh / 720 hours) x 100 = 83.33hundreds of watts per hour.

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The mean of the given probability distribution is μ = 3.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

To find the mean of a probability distribution, we need to multiply each outcome by its probability, and then sum up those values. So, using the given probabilities and outcomes:

Mean (μ) = (0 x 0.02) + (1 x 0.16) + (2 x 0.21) + (3 x 0.11) + (4 x 0.41) + (5 x 0.09)

Mean (μ) = 0 + 0.16 + 0.42 + 0.33 + 1.64 + 0.45

Mean (μ) = 3

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