Find the length of the missing side. The triangle is not drawn to scale

Answer:

It's D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

the x-coordinates are -1 and 6. there's a distance of 7 between those two.

the y-coordinates are -5 and -5. there's a distance of 0 between those two.

(distance between points)² = 7² + 0² = 49 + 0 = 49.

take the square root of both sides:

distance between points = √49 = 7.

this would also have worked if the y-coordinates were different.

The required probability that the total number of spots showing is less than 7 is 9.26%

The probability of an event is found by considering all possibilities that follow the given condition. The probability value cannot exceed the interval [0,1].

Three six-sided dice are rolled at the same time.

It is asked to calculate the probability that the total number of spots showing is less than 7.

If the die is rolled, possible outcomes are as given below.

S: {1, 2, 3, 4, 5, 6}

Number of elements in sample space, n(S) = 6.

Probability of any specific outcome from S = 1/6

If the three dice are rolled together, the total number of elements in the sample space will be \((6^3)\)

Then, the probability of getting any of any specific outcome from this sample will be given by: \(\frac{1}{6^3} =\frac{1}{216}\)

Find the total possibilities for which the total of outcomes of all three dice is less than 7. It is possible when we get the following outcomes.

The minimum total that we get is 3 with outcomes (1,1,1) on three dice.

For a total of 3:

Possible outcomes: [1, 1, 1]

The number of possibilities \(A_1=1\)

For total 4:

Possible outcomes: [1,1,2], [1,2,1], [2, 1, 1]

Number of possibilities \(A_2=3\)

For a total of 5:

Possible outcomes:  [1,1,3], [1,3,1], [3, 1, 1],  [1,2,2], [2,2,1], [2, 1, 2]

The number of possibilities \(A_3=6\)

For a total of 6:

Possible outcomes :  [1,1,4], [1,4,1], [4, 1, 1],[1, 2, 3] ,[1,3,2],[2, 3, 1], [3,2,1], [3, 1, 2],[2,1,3], [2, ,2 ,2]

The number of possibilities : \(A_4=10\)

The number of possibilities for which the total number of spots showing is less than 7 is given by,

\(A_1+A_2+A_3+A_4\)

=> 1+ 3+ 6+ 10

=> 20

The probability that the total number of spots showing are less than 7 is calculated below.

P = 20/216

P = 0.0926

P = 9.26%

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The given question is incomplete, complete question is:

Explain how to solve this problem:

You have three six-sided dice. When all three dice are rolled at the same time, calculate the probability of the following outcomes:

a. The total number of spots showing is less than 7

Certainly! Here's a word problem example that involves working through formulas to determine if there is a significant difference among different sports fans in the number of hours spent watching games:

Problem:

A researcher wants to investigate if there is a significant difference in the number of hours spent watching sports games among fans of three different sports: basketball, football, and baseball. The researcher randomly selects 50 participants from each fan group and records the number of hours each participant spends watching games in a week. The data collected is as follows:

Basketball fans: 15, 18, 20, 12, 16, ... (50 observations)

Football fans: 10, 11, 8, 9, 13, ... (50 observations)

Baseball fans: 14, 17, 16, 12, 15, ... (50 observations)

The researcher wants to determine if there is a significant difference in the mean number of hours spent watching games among the three fan groups.

Solution:

To determine if there is a significant difference among the fan groups, we can use a one-way analysis of variance (ANOVA) test. The ANOVA test compares the means of multiple groups to assess if there is a statistically significant difference between them.

Look up the critical F-value for a given significance level and degrees of freedom (df and df).

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Cobb's arguments about p-value is about the uncertainty of data that p-value represents. It doesn't signify truth and must be comprehended in the setting of other variables.

A p-value of 0.05 specifies that the possibility of observing the result by chance is 5%, but the other aspect of that is that it also shows that there is a 95% probability of obtaining a result that is not due to chance.

Cobb argues that other variables such as multiple testing, confounding variables, or sampling variability can affect the p-value's precision. The p-value is considered invalid in the presence of any

or sampling variability, as it may mislead the results. A p-value is also vulnerable to multiple testing, which is when numerous evaluations are done on the same data. When performing multiple testing, a more conservative p-value is required to regulate for the risk of an accidental Type I error.

Cobb's argument emphasizes that while the p-value is essential for hypothesis testing, it should not be the sole determinant of data's validity. Researchers must consider other sources of variability when interpreting p-values to determine if they support or refute a hypothesis.

Hence, p-value alone should not be considered conclusive, and one must consider other sources of data to make decisions.

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Answer:

1

X+.12*x=190.40

X(1+.12)=190.40

X=190.40/1.12=170

2a

X+x+25=100

2x=75

X=37.5%

Men=.375*270=101

2b

The 90% confidence interval's margin of error is 0.0183, and its success probability is 0.546.

The term "margin of error" refers to the probability or "chances of error" when selecting or computing a sample in a survey.

Jamie works as an analyst for a provider of educational technologies. She gathered information on the outcomes of a particular kind of query. 1,092 of the 2,000 replies she examined were accurate.

Here,

Number of samples, N=2000

Probability of responding correctly,

=1092/2000

=0.546

Z-score at 90% confidence level,

=1.645

Margin of Error ME,

=z*√(p*(1-p)/N)

=1.645*√(0.546*(1-0.546)/2000)

=1.645*√(0.546*0.454)/2000

=1.645*√(0.248/2000)

=1.645*√0.000124

=1.645*0.011

=0.0180

With a success rate of 0.546 percent, the margin of error for the 90% confidence interval is 0.0183.

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|-3| + |9| represents the vertical distance between the points (-3, -5) and (9, -5).

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

Given that, |-3| + |9| represents the distance between the points (-3, -5) and (9, -5).

The horizontal distance between two coordinate points on plane is sum of x-coordinate points.

The vertical distance between two coordinate points on plane is sum of y-coordinate points.

The vertical and horizontal distances between the points

Vertical distance = |-3| + |9| = 12

Horizontal distance = |-5| + |-5|

= 5+5

= 10

Therefore, |-3| + |9| represents the vertical distance between the points (-3, -5) and (9, -5).

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The two equations  y=x²+6x+8 and y=(x+2)(x+4) are equal.

The given two equations are y=x²+6x+8 and y=(x+2)(x+4)

We have to check whether the two equations are equal or not

y=x²+6x+8 ----(1)

y=(x+2)(x+4) ---(2)

y=x² + 4x+2x+8

y=x² + 6x+8 ....(2)

From equation (1) and (2), y=x²+6x+8 and y=(x+2)(x+4) are equal.

Hence, the two equations  y=x²+6x+8 and y=(x+2)(x+4) are equal.

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Answer: A. (4,6)

Step-by-step explanation: 2(6y−4x = 20)                                                   3(−4y+3x = −12)                                                                                                     −8x+12y = 40                                                                                                     9x−12y = −36                                                                                                   -8x+9x                                                                                                                 +12y-12y                                                                                                               40-36                                                                                                                     x=4                                                                                                                   6y−4x = 20                                                                                                       6y−(4)(4) = 20                                                                                                   6y−16+16 = 20+16                                                                                                 6y/6 = 36/6                                                                                                           y = 6                                                                                                                       x = 4, and y = 6.

The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.

The given system of equations are 6y-4x=20 and -4y+3x=-12.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here,

6y-4x=20 ----------(I) and -4y+3x=-12 ----------(II)

Multiply equation (I) by 3, we get

-12x+18y=60 ----------(III)

Multiply equation (II) by 4, we get

12x-16y=-48 ----------(IV)

Add equation (III) and (IV), that is

-12x+18y+(12x-16y)=60-48

⇒ 2y=12

⇒ y=6

So, 6y-4x=20

⇒ 36-4x=20

⇒ -4x=-16

⇒ x=4

The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.

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Answer:N/A

Step-by-step explanation:

I need more context to answer this question.

Eva and Jin volunteer on the first day of the month, if they volunteer once a month (assuming this month has 31 days) it would be 31 days until they volunteer again. Now, if Eva volunteers every 6 days and Jin volunteers every two days (this is just an example) on the sixth of the month is when they will volunteer on the same day. If you want a complete answer I would recommend writing the whole question.

True. Since the square matrix that represents the DCT coefficient is an orthogonal matrix, its inverse and transpose are the same. This property is a fundamental characteristic of orthogonal matrices and holds true for all orthogonal matrices.

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False While it is true that the square matrix that represents the DCT coefficient is orthogonal, it does not mean that its inverse and transpose are the same.

the inverse of an orthogonal matrix is its transpose. However, the transpose of the matrix does not necessarily mean that it is the same as the inverse of the matrix. In the statement is false because the inverse and transpose of an orthogonal matrix are not always the same.


The Discrete Cosine Transform (DCT) coefficient matrix is an orthogonal matrix. In the case of orthogonal matrices, the inverse matrix is indeed equal to the transpose of the original matrix. This is because the product of an orthogonal matrix and its transpose results in the identity matrix.

Since the square matrix representing the DCT coefficient is an orthogonal matrix, its inverse and transpose are the same.

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After solving the given expression (3x+10)(2x²+1)(2-x)>0 the answer is

(- 6x⁴ - 3x³ + 37x² - 4x + 20) > 0.

So, (3x+10)(2x²+1)(2-x)>0:

Solve the expression as follows:

Therefore, after solving the given expression the answer is (- 6x⁴ - 3x³ + 37x² - 4x + 20) > 0.

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The command in Stata would be the most useful is reg when  you want to combine this with a dataset that reports how much each individual sleeps per week.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.

For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.

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Answer:

Prime numbers:

11, 61, 43, and 29.

Step-by-step explanation:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

For example:

13 has only two factors, itself and 1. So, it is a prime number.

4 has three factors, itself, 1, and 2. So, it is not a prime number.

Your other answers are correct.

Hope this helped!

Answer:12/20  3/5

Step-by-step explanation:

After the calculation of the expression (32+4×(16x)-2³) ÷ (6×4+3+2) × (28+7+6+3)×2 ÷ (20(5×2/5+3x²)4 ÷ 2×(6+2+8)-4 ÷ (21+3+(8-2+2)))

We concluded that the answer will be (80x+30) ÷ 58 × (11+33x²)

Expressions can be written in different forms such as numerical, algebraic, or geometric expressions. Examples of numerical expressions include 5 + 2, 3 × 8, and 10 ÷ 2. Algebraic expressions involve variables and algebraic operations, such as x + 3, 2y - 5, or 4a² + b. Geometric expressions involve formulas and measurements for calculating properties of shapes, such as the area or perimeter of a rectangle.

Expressions can be simplified by performing arithmetic or algebraic operations to reduce them to their simplest form. For example, the expression 3x + 2x can be simplified to 5x by combining the like terms.

Without an equal sign or any other relation, it is not possible to find the value of x. So according to my expression we can solve it as:

(32+4×(16x)-2³) ÷ (6×4+3+2) × (28+7+6+3)×2 ÷ (20(5×2/5+3x²)4 ÷ 2×(6+2+8)-4 ÷ (21+3+(8-2+2)))

We can simplify each of the terms step by step:

(32+4×(16x)-2³) ÷ (6×4+3+2) × (28+7+6+3)×2 ÷ (20(5×2/5+3x²)4 ÷ 2×(6+2+8)-4 ÷ (21+3+(8-2+2)))

= (32+4×(16x)-8) ÷ (6×4+5) × (44) ÷ (20(1+3x²) ÷ 2×16 ÷ 30)

= (32+64x-8) ÷ (29) × (44) ÷ (20+60x²) ÷ (8/15)

= (64x+24) ÷ (29) × (44) ÷ (20+60x²) × 15/8

= (16x+6) ÷ (29/2) × (11/5+33/5x²)

= (16x+6) ÷ (58/5) × (11+33x²)

= (80x+30) ÷ 58 × (11+33x²)

Therefore, the solution is:

(80x+30) ÷ 58 × (11+33x²)

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Answer:

5/8= .625

Step-by-step explanation:

Answer:

5:8

Step-by-step explanation:

N/A

Answer:

y=5

Step-by-step explanation:

trust me on this one broski

Thus, the length of a side of the regular hexagon is 8 centimeters using the Pythagorean theorem.

The key to solving this problem is to realize that the perpendiculars drawn from the interior point to the sides of the hexagon form a right triangle with one leg being the perpendicular and the other leg being a side of the hexagon. We also know that the hexagon is regular, meaning all sides have the same length.

Let's label the length of the side of the hexagon as "x". We can use the Pythagorean theorem to find the length of each perpendicular as follows:

- For the perpendicular that is 4 cm long, we have x^2 = 4^2 + (x/2)^2
- For the perpendicular that is 5 cm long, we have x^2 = 5^2 + (x/2)^2
- For the perpendicular that is 6 cm long, we have x^2 = 6^2 + (x/2)^2
- For the perpendicular that is 8 cm long, we have x^2 = 8^2 + (x/2)^2
- For the perpendicular that is 9 cm long, we have x^2 = 9^2 + (x/2)^2
- For the perpendicular that is 10 cm long, we have x^2 = 10^2 + (x/2)^2

Simplifying each equation and using a bit of algebra, we get:

- 3x^2 = 16^2
- 7x^2 = 25^2
- 12x^2 = 36^2
- 24x^2 = 64^2
- 33x^2 = 81^2
- 40x^2 = 100^2

Solving for x in each equation, we find that x = 8 cm. Therefore, the length of a side of the regular hexagon is 8 centimeters.

In summary, we used the fact that the perpendiculars from an interior point to the sides of a regular hexagon form right triangles to set up equations using the Pythagorean theorem. Solving for the length of a side of the hexagon in each equation, we found that it is 8 cm long.

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The coordinates (2,1) will be on graph but (1,3) is not on graph.

What is a coordinate?

A coordinate is a set of two or more numbers or variables that identify the position of a point, line, or plane in a space of a given dimension. Coordinates are used to pinpoint a particular location, such as a specific point on a map or a specific point in a mathematical equation.

This means that for every 1.5 cups of dried fruit, there is 1 pound of granola. The graph of this proportional relationship would be a line that goes through the origin and has a slope of 1.5. For the point (2,1), the x-coordinate (2) is exactly 1.5 times the y-coordinate (1). This means that if you used 2 cups of dried fruit, you would get 1 pound of granola. Therefore, this point would be on the graph of the proportional relationship, so the answer is Yes. However, for the point (1,3), the x-coordinate (1) is not 1.5 times the y-coordinate (3). This means that if you used 1 cup of dried fruit, you would not get 3 pounds of granola.

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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.

The value of the ratios 16: 4 and 8: 2 in the simplest form is 4:1. Then the ratios are equivalent to each other.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The ratios are given below.

16: 4 and 8: 2

Simplify the ratio, then we have

16: 4 = 4: 1

8: 2 = 4: 1

The value of the ratios 16: 4 and 8: 2 in the simplest form is 4:1. Then the ratios are equivalent to each other.

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Answer:

the answer is B

x = 1

Step-by-step explanation:

the symmetry is in the middle of the curve like a mirror and the equation of the mirror or symmetry line is x=1

Answer:

The integer representing the fish's depth is -19.

Step-by-step explanation:

for the function

f(x) = (x -g)(x - h)

To get the x-intercept, we can equate the function to zero

f(x) = (x -g)(x - h) = 0

so (x - g) = 0

which gives x = g

And (x - h) = 0

which gives x = h

Since we have been told that g and h are positive, then it follows that both intercepts are positive

Answer:

1 and 6

5 and 7

Step-by-step explanation:

Supplementary angles are 180 degrees and so is a linear pair

1 and 6 add up to 180 degrees meaning they are supplementary. Angle 1 and angle 2 are a linear pair so 180-120=60 which is the degree of angle 1, angle 2 corresponds to angle 6, so angle 1 + angle 6 would equal 180 degrees. (120+60)

5 and 7 are a linear pair which automatically makes them supplementary

The others are vertical angles which don't add up to 180. (120+120=240)(60+60=120)

Answer:

Ok this is easy you got this!

Step-by-step explanation:

Ok so, we know their over total is 98.00, we also know that the boots cost $34 each

lets start with 34+34= 68

now we are going to take that from 98

98-68=30

now because they bought two canteens we will divide 30 by 2

30 divided by 2 is 15

the cost of each canteen is $15

The divergence of a vector field measures the rate at which the field's vectors spread out or converge at a given point. In the case of the vector field F = <5z cos(x), 2z sin(x), 4z>, let's calculate its divergence.

The divergence of a vector field F = <P, Q, R> is given by the formula div F = ∂P/∂x + ∂Q/∂y + ∂R/∂z. Applying this formula to our vector field F, we obtain:

∂P/∂x = -5z sin(x) (using the derivative of cos(x) = -sin(x))

∂Q/∂y = 0 (since there is no y-component in Q)

∂R/∂z = 4 (as the derivative of z with respect to z is 1)

Summing up these partial derivatives, we get the divergence of F:

div F = -5z sin(x) + 0 + 4 = -5z sin(x) + 4

Therefore, the divergence of F is given by the expression -5z sin(x) + 4.

In conclusion, the divergence of the vector field F = <5z cos(x), 2z sin(x), 4z> is -5z sin(x) + 4. This means that at each point in space, the vectors in the field either spread out or converge according to this expression.

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