Find the missing value. 8-?=-5 HELPPP!

Here, x value of 8 would be located on the left tail of the normal distribution curve, 3.67 standard deviations below the mean (μ=22.3) and with a very low value in terms of percentile or probability (0.015%).

To indicate where the given x value of 8 would be on the curve, we need to plot it on a normal distribution curve with a mean (μ) of 22.3 and a standard deviation (σ) of 3.9.
First, we need to convert the given x value of 8 into a z-score by using the formula:  z = (x - μ) / σ
Plugging in the values, we get: z = (8 - 22.3) / 3.9 = -3.67
This means that the value of 8 is located 3.67 standard deviations below the mean.
Next, we need to find this point on the normal distribution curve. We can use a z-score table or a graphing calculator to find the corresponding area under the curve.
If we use a z-score table, we can look up the area to the left of -3.67, which is 0.00015. This means that only 0.015% of the data falls below this point.
To plot this on the curve, we can locate the mean (μ) and mark it as the center of the curve. Then, we can count 3.67 standard deviations to the left of the mean and mark this as the point where the value of 8 would be located.

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y=2x-2 is the equation of the graph.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

From the given figure the points are (2, 2)(3,4)(4, 6)

m=6-4/4-3

m=2/1

slope =2

Now let us find the y intercept

4=2(3)+b

4=6+b

b=-2

y=2x-2

Hence, y=2x-2 is the equation of the graph.

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Answer:

1/2 cup of lemonade per lemon

Step-by-step explanation:

2 cups of lemonade use 4 lemons

(2 cups of lemonade)/(4 lemons) =

= 2/4 cup of lemonade per lemon

= 1/2 cup of lemonade per lemon

Answer:

y>x3+x2

Step-by-step explanation:

it has the greater than sign

The expression for the nth term of the sequence is 11 - 4n.

To find an expression for the nth term of the sequence, we need to identify the pattern and apply the given term-to-term rule.

Given that the third term is 11, we can assume that the first term is four less than the third term. Therefore, the first term can be calculated as:

First term = Third term - 4 = 11 - 4 = 7

Now, let's examine the pattern of the sequence based on the term-to-term rule of "take away 4". This means that each term is obtained by subtracting 4 from the previous term.

Using this pattern, we can express the nth term of the sequence as follows:

nth term = First term + (n - 1) * Difference

In this case, the first term is 7 and the difference between consecutive terms is -4. Therefore, the expression for the nth term is:

nth term = 7 + (n - 1) * (-4)

Simplifying this expression, we have:

nth term = 7 - 4n + 4

nth term = 11 - 4n

Thus, the expression for the nth term of the sequence is 11 - 4n.

This expression allows us to calculate any term in the sequence by substituting the value of n into the expression. For example, to find the 5th term, we would substitute n = 5:

5th term = 11 - 4(5) = 11 - 20 = -9

Similarly, we can find any term in the sequence using this expression.

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From the information available, the initial population was 16,007. That figure was taken as at the year zero which is January 1, 2014.

This means

This trend would be used until we get to January 1, 2030, when we would calculate as follows;

Note that the years count from Jan 1 to Jan 1.

The function that models the yearly growth is;

Using the first year, 2014 which is year zero, the result would remain 16,007. That is;

For the 16th year, which is year 2030, we woud now have the following;

Rounded to the nearest whole number, this figure becomes;

ANSWER:

The product of 56.2 and 9.2057 to the appropriate number of significant digits is 517.00.

The significant digits in a number are the digits that contribute to its precision. When multiplying numbers, the result should be rounded to the same number of significant digits as the factor with the least number of significant digits.

In this case, 56.2 has three significant digits, and 9.2057 has five significant digits. The factor with the least number of significant digits is 56.2. Therefore, the product should be rounded to three significant digits.

Multiplying 56.2 by 9.2057 gives 517.38134. Rounding this result to three significant digits gives us 517.00. The trailing zeros after the decimal point are significant in this case as they indicate the precision of the result. Hence, the correct answer is 517.00.

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a) The divergence of f = \(e^{xy\) i - cosy j + sin z²k is y \(e^{xy\) + sin y + 2z cos z², and the curl is 0.

b) The divergence of f = xi + yj - zk is 1, and the curl is 0.

a) To find the divergence and curl of the vector field f = \(e^{xy\) i - cosy j + sin z²k:

Divergence:

The divergence of a vector field f = P i + Q j + R k is given by the formula:

div(f) = ∇ · f = ∂P/∂x + ∂Q/∂y + ∂R/∂z

Given f = \(e^{xy\) i - cosy j + sin z²k, we can calculate the divergence as follows:

∂P/∂x = ∂/∂x(\(e^{xy\)) = y \(e^{xy\)

∂Q/∂y = ∂/∂y(-cosy) = sin y

∂R/∂z = ∂/∂z(sin z²) = 2z cos z²

Therefore, the divergence of f is:

div(f) = y \(e^{xy\) + sin y + 2z cos z²

Curl:

The curl of a vector field f = P i + Q j + R k is given by the formula:

curl(f) = ∇ × f = ( ∂R/∂y - ∂Q/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂Q/∂x - ∂P/∂y ) k

Using the vector field f = \(e^{xy\) i - cosy j + sin z²k, we can calculate the curl as follows:

∂P/∂y = ∂/∂y(\(e^{xy\)) = x \(e^{xy\)

∂Q/∂z = ∂/∂z(-cosy) = 0

∂R/∂x = ∂/∂x(sin z²) = 0

∂R/∂y = ∂/∂y(sin z²) = 0

∂Q/∂x = ∂/∂x(-cosy) = 0

∂P/∂z = ∂/∂z(\(e^{xy\)) = 0

Therefore, the curl of f is:

curl(f) = (0 - 0) i + (0 - 0) j + (0 - 0) k

curl(f) = 0 i + 0 j + 0 k

curl(f) = 0

b) To find the divergence and curl of the vector field f = xi + yj - zk:

Divergence:

∂P/∂x = ∂/∂x(x) = 1

∂Q/∂y = ∂/∂y(y) = 1

∂R/∂z = ∂/∂z(-z) = -1

Therefore, the divergence of f function is:

div(f) = ∇ · f = 1 + 1 - 1 = 1

Curl:

∂P/∂y = ∂/∂y(x) = 0

∂Q/∂z = ∂/∂z(y) = 0

∂R/∂x = ∂/∂x(-z) = 0

∂R/∂y = ∂/∂y(-z) = 0

∂Q/∂x = ∂/∂x(y) = 0

∂P/∂z = ∂/∂z(x) = 0

Therefore, the curl of f is:

curl(f) = (0 - 0) i + (0 - 0) j + (0 - 0) k

curl(f) = 0 i + 0 j + 0 k

curl(f) = 0

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Researchers must use experiments to determine whether causal relationships exist between variables.

Researchers use experiments to determine causative relationships between variables. A causative relationship exists when a change in one variable (the cause) leads to a change in another variable (the effect).

Experiments allow researchers to manipulate the cause and observe the effect while controlling for other factors that could influence the relationship.

For example, if a researcher is interested in examining the relationship between smoking and lung cancer, they would conduct an experiment where they randomly assign participants to either a smoking or a non-smoking group.

The researcher would then collect data on the incidence of lung cancer in each group while controlling for other factors that might influence the relationship, such as age, gender, and socioeconomic status.

By randomly assigning participants to the smoking and non-smoking groups, the researcher can be confident that any differences in lung cancer incidence are due to the effect of smoking and not due to differences in the participants.

This type of experiment is called a randomized controlled trial and is considered the gold standard for determining causative relationships.

Experiments are essential in determining causative relationships between variables because they help to establish a cause-and-effect relationship and avoid confounding (when the relationship between two variables is observed because of a third variable that affects both).

In addition, experiments can also provide information about the direction and strength of the relationship between variables.

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--The given question is incorrect; the correct question is

"Researchers must use experiments to determine whether ______ relationships exist between variables."--

At the 97% confidence interval estimate of the population mean is

(80.55, 77.45).

Following are the calculation to the confidence interval :

Given that,

σ = 15

n = 430

X = 79

Here C = 97% = 0.97

⇒ α = 1 -C = 1 - 0.97 = 0.03

∴ Zₙ =  Zₙ/2 = Z₀.₀₁₅ = 2.17

Now,

97% confidence interval,

C.I = X ± σ/√n

     = 79 ± 2.17 × (15/√430)

     = 79 + 2.17 × (15/ 21)                [taking round figure of √430=2.0736441]

     = 80.55

Now taking the negative sign,

        = 79 - 2.17 × (15/√430)

        = 79 - 2.17 × (15/ 21)

        = 77.45

The final answer is (80.55, 77.45).

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Answer:

It already is in standard form

Step-by-step explanation:

the answer to that equation is 2 which means it's between 1 and 10. therefore it's already in standard form or "scientific notation"

Data visualization is important because option (a) 90% of the information transmitted to the brain is visual.

Data visualization is important because the human brain is wired to process visual information more efficiently than text or numbers. Research shows that about 90% of the information transmitted to the brain is visual, and we can process visual information much faster than text.

Therefore, data visualization is an effective way to represent complex data in a way that is easy to understand and analyze. It allows us to identify patterns, trends, and outliers that might be difficult to detect in raw data.

Therefore, the correct option is (a) 90% of the information transmitted to the brain is visual.

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The given question is incomplete, the complete question is:

Data visualization is important because: a) 90% of the information transmitted to the brain is visual b) None of these are correct c) People can synthesize data better than visual representation d) Everybody likes chart and graphs

An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Answer:

-38h-30

4h+(−6)(5)+(−6)(7h)

=4h+−30+−42h

=(4h+−42h)+(−30)

=−38h+−30

Rounded to the nearest hundredth, the height of the cylinder is approximately 11.98 yards.

In mathematics, volume is a quantity that measures the amount of space occupied by an object or a shape. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet. The volume of an object can be calculated using its dimensions, such as length, width, and height, or using mathematical formulas specific to the shape of the object, such as the formula for the volume of a cylinder or sphere.

Here,

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height. We are given that the radius is 10 yards and the volume is 3,768 cubic yards. So we can set up the equation:

3,768 = π(10)²h

Simplifying and solving for h, we get:

h = 3,768 / (π(10)²)

h ≈ 11.98 yards

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The general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is: y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5

To solve this differential equation, we can use separation of variables.

First, we can rearrange the equation to get dy/dx on one side and the rest on the other side:

dy/dx = 1/3(sin x − xy^2)

dy/(sin x - xy^2) = dx/3

Now we can integrate both sides:

∫dy/(sin x - xy^2) = ∫dx/3

To integrate the left side, we can use substitution. Let u = xy^2, then du/dx = y^2 + 2xy(dy/dx). Substituting these expressions into the left side gives:

∫dy/(sin x - xy^2) = ∫du/(sin x - u)

= -1/2∫d(cos x - u/sin x)

= -1/2 ln|sin x - xy^2| + C1

For the right side, we simply integrate with respect to x:

∫dx/3 = x/3 + C2

Putting these together, we get:

-1/2 ln|sin x - xy^2| = x/3 + C

To solve for y, we can exponentiate both sides:

|sin x - xy^2|^-1/2 = e^(2C/3 - x/3)

|sin x - xy^2| = 1/e^(2C/3 - x/3)

Since the absolute value of sin x - xy^2 can be either positive or negative, we need to consider both cases.

Case 1: sin x - xy^2 > 0

In this case, we have:

sin x - xy^2 = 1/e^(2C/3 - x/3)

Solving for y, we get:

y = ±√[(sin x - 1/e^(2C/3 - x/3))/x]

Note that the initial condition y(0) = 5 only applies to the positive square root. We can use this condition to solve for C:

y(0) = √(sin 0 - 1/e^(2C/3)) = √(0 - 1/e^(2C/3)) = 5

Squaring both sides and solving for C, we get:

C = 3/2 ln(1/25)

Putting this value of C back into the expression for y, we get:

y = √[(sin x - e^(x/2)/25)/x]

Case 2: sin x - xy^2 < 0

In this case, we have:

- sin x + xy^2 = 1/e^(2C/3 - x/3)

Solving for y, we get:

y = ±√[(e^(2C/3 - x/3) - sin x)/x]

Again, using the initial condition y(0) = 5 and solving for C, we get:

C = 3/2 ln(1/25) + 2/3 ln(5)

Putting this value of C back into the expression for y, we get:

y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x]

So the general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is:

y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5

y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x], if sin x - xy^2 < 0 and y(0) = 5

Note that there is no solution for y when sin x - xy^2 = 0.

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SOLUTION

The polynomials expression given are

Expand the expression by distributing the parentheses

Simplify

Hence, the answer is

The domain of a function refers to the set of all possible values of x for which the function is defined. In the given function f(x) = 36 - x², we need to determine the values of x for which the function is defined.

The function f(x) is a polynomial function, which means that it is defined for all real values of x. Therefore, the domain of f(x) is all real numbers. There are no restrictions on the value of x, and the function can be evaluated for any real value of x. It is important to note that the function f(x) is continuous and smooth, with no points of discontinuity or sharp turns. This means that the function is well-defined and can be used to model a wide range of real-world phenomena. In conclusion, the domain of the function f(x) = 36 - x² is all real numbers. This means that the function is defined and can be evaluated for any value of x. It is important to keep in mind that the domain of a function is a fundamental concept in mathematics, and understanding it is essential for solving problems and analyzing real-world phenomena.

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Answer:

$160

Step-by-step explanation:

Step one:

given data

Principal = $2000

rate= 8%

time t= 1 year

Required

The Simple interest paid after 1 year

Step two:

Simple interest = PRT/100

Simple interest = 2000*8*1/100

Simple interest = 16000/100

Simple interest =$160

The simple interest paid after 1 year is $160

The solution for these discrete mathematics questions will be: a) No. The element d is in two of the sets. B) Yes C) No. The element 4 is in two of the sets. D) No. None of the sets contains 6. E) a) no b) yes

The study of mathematical structures that are discrete rather than continuous (it's similar to discrete variables and having a bijection with the set of natural numbers) is known as discrete mathematics. Graphs, integers, and logical statements are among the objects studied in discrete mathematics.

Both finite and infinite sets of objects can be studied in discrete mathematics. Some areas of discrete mathematics that deal with finite sets, especially those that have a bearing on business, are referred to as "finite mathematics" at times.

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Note that the full question is:

a) Is {{a, d, e}, {b, c}, {d, f}} a partition of {a, b, c, d, e, f }?

Yes or No

(b) Is {{w, x, v}, {u, y, q}, {p, z}} a partition of {p, q, u, v, w, x, y, z}?

Yes or No

(c) Is {{5, 4}, {7, 2}, {1, 3, 4}, {6, 8}} a partition of (1, 2, 3, 4, 5, 6, 7, 8}?

Yes or No

(d) Is {{3, 7, 8}, {2, 9}, {1, 4, 5}} a partition of {1, 2, 3, 4, 5, 6, 7, 8, 9}?

Yes or No

(e) Is {{1, 5}, {4, 7}, {2, 8, 6, 3}} a partition of {1, 2, 3, 4, 5, 6, 7, 8}?

Yes or No

The perimeter and the area of each composite figure is summarized below:

Case 1: p = 2 · (4√2 + 5), A = 20

Case 2: p = 28, A = 16

Case 3: p = 4 · (√13 + 2), A = 48

In this problem we find three cases of composite figures, whose perimeters and areas should be found. The perimeter is the sum of all side lengths and the area is the sum of areas of simple figures. The area formulas needed are introduced below:

Triangle

A = 0.5 · b · h

Rectangle

A = b · h

Where:

The length of oblique lines are determined by Pythagorean theorem, whereas lengths of horizontal and vertical lines are found by direct inspection. Now we proceed to find the perimeter and area of each figure:

Case 1:

p = 4 · √(2² + 2²) + 2 · 5

p = 4√8 + 10

p = 8√2 + 10

p = 2 · (4√2 + 5)

A = 4 · 5

A = 20

Case 2:

p = 2 · 6 + 4 · 1 + 4 · 2 + 2 · 2

p = 12 + 4 + 8 + 4

p = 28

A = 2 · 6 · 1 + 2²

A = 12 + 4

A = 16

Case 3:

p = 4 · √(2² + 3²) + 2 · 4

p = 4√13 + 8

p = 4 · (√13 + 2)

A = 4 · 6 + 4 · 0.5 · 2 · 3

A = 24 + 24

A = 48

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Answer:

2.41666666667

Step-by-step explanation:

Answer:

A = 1.5

B= 10

c =16

Step-by-step explanation:

Ok. so. I had this same test. Plug in 2 everytime there is a 3. link: https://brainly.com/question/14428692?exp=25-1

Answer:

(x-y)(3a-2b)

Step-by-step explanation:

1. group together ax and ay, and bx and by.

(3ax-3ay)(2bx-2by)

2. factor the common term x and y

3a(x-y)-2b(x-y)

3. factor by using distributive property

(x-y)(3a-2b)

Answer:

(x-y)(3a-2b)

Step-by-step explanation:

done it

Volunteer/voluntary response bias, also known as self-selection bias, occurs when research participants exert control over the decision to engage in the study.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

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Two steps that will complete the list correctly are:

4. The original measurement should be multiplied by the conversion factors.

5. Verify that it makes sense.

A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.

Let's use an example of converting from inches to centimeters to address this query.

10 inches should be converted to cm.

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Step-by-step explanation:

Jack mows 1 lawn in 3 hours

= 1/3 lawn in 1 hour

Marilyn mows 1 lawn in 6 hours

= 1/6 lawn in 1 hour

Together, they can mow 1/3 + 1/6

= 1/2 lawn in 1 hour.

Hence they will need 2 hours to mow the lawn.