consider the standard normal distribution. the mean is always ___ and the standard deviation is always ___ .

Answer:

1025.76

Step-by-step explanation:

Formula for a right rectangular pyramid is (l*w*h)/3

The length and width are both 18.7, so we can plug that in. The height is 8.8.

It becomes:

(18.7*18.7*8.8)/3, which equals the answer above.

The values of sin(x + y) and tan(x - y) are:a. 318/325 and – 120/317.The values of sin(x + y) and tan(x - y) are 253/325 and 91/391, respectively we can use the trigonometric identities.

To determine the values of sin(x + y) and tan(x - y), we can use the trigonometric identities.

Since angle x is in quadrant II, sin x is positive and cos x is negative. We are given sin x = 7/25, which means cos x = -√(1 - sin^2 x) = -24/25.

Similarly, since angle y is in quadrant III, sin y is negative and cos y is negative. We are given cos y = -5/13, which means sin y = -√(1 - cos^2 y) = -12/13.

Using the sum of angles identity, sin(x + y) = sin x * cos y + cos x * sin y.

Plugging in the given values, we have:

sin(x + y) = (7/25 * -5/13) + (-24/25 * -12/13) = -35/325 + 288/325 = 253/325.

Using the difference of angles identity, tan(x - y) = (tan x - tan y) / (1 + tan x * tan y).

Plugging in the given values, we have:

tan(x - y) = ((7/25) - (-12/13)) / (1 + (7/25) * (-12/13)) = (91/325) / (391/325) = 91/391.

The values of sin(x + y) and tan(x - y) are 253/325 and 91/391, respectively. Therefore, the correct answer is option a. 318/325 and – 120/317.

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If the cost for 10 ounce of organic blueberry is $2. 70, the cost of 30 ounce of organic blueberry is represented by the equation x = 20y + 2.70 where y is the cost in dollars for one ounce of organic blueberry.

As x is the cost in dollar for 30 ounce of organic blueberry. For y is the cost in dollars for one ounce of organic blueberry, then

x = 30y + c

where c is the fixed cost

We know for 10 ounce of organic blueberry it costs $2.70. That is

2.70 = 10y + c

c = 2.70 - 10y

So x = 30y + 2.70 - 10y

x = 20y + 2.70

-- The question is incomplete, the complete question is as follows--

"The cost for 10 ounce of organic blueberry is $2. 70 which equation can be used to determine x the cost in dollars, for 30 ounces of organic blueberries.?"

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Answer:

v=4/3 pie r ³ you would put 8 in

Step-by-step explanation:

the formal

A) First derivative for y = 3x² + 5x + 10 is dy/dx = 6x + 5; B) First derivative of for, y = 100200x + 7x is dy/dx = 100207 ; C) First derivative for y = In (9x4) is dy/dx = 4 / (3x).

A. y = 3x² + 5x + 10:

First derivative of the given equation, y = 3x² + 5x + 10 is as follows:

dy/dx = d/dx (3x²) + d/dx (5x) + d/dx (10)dy/dx

= 6x + 5

Since there are no exponents in 5x, the derivative of 5x is simply 5.

Similarly, since 10 is a constant, the derivative of 10 is zero.

B. y = 100200x + 7x:

First derivative of the given equation, y = 100200x + 7x is as follows:

dy/dx = d/dx (100200x) + d/dx (7x)dy/dx

= 100200 + 7

= 100207

C. y = In (9x4):

The given equation is, y = In (9x4).

The first derivative of this function can be obtained as follows:

dy/dx = 1 / (9x4) * d/dx (9x4)dy/dx

= 1 / (9x4) * 36x3dy/dx

= 4x3 / (3x4)dy/dx

= 4 / (3x)

Therefore, the first derivative of the given function y = In (9x4) is 4 / (3x).

A) First derivative forgiven equation, y = 3x² + 5x + 10 is dy/dx = 6x + 5; B) First derivative for given equation, y = 100200x + 7x is dy/dx = 100207 ; C) First derivative for given equation, y = In (9x4) is dy/dx = 4 / (3x).

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Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

The mean sum of squares of treatment (MST) is 68.

To calculate the mean sum of squares of treatment (MST), we need the degrees of freedom (df) for the treatment and the error. From the given information, we have:

SS (Sum of Squares) for Treatment = 136

SS for Error = 416

Total SS (Sum of Squares) = ? (not provided)

The degrees of freedom for the treatment (dfTreatment) can be calculated as the number of treatment groups minus 1. In this case, there are 3 methodologies (traditional, online, mixed), so dfTreatment = 3 - 1 = 2.

The degrees of freedom for the error (dfError) can be calculated as the total number of observations minus the number of treatment groups. In this case, there are 6 classes with 10 students each, resulting in a total of 60 observations. Since there are 3 treatment groups, dfError = 60 - 3 = 57.

Now, we can calculate the mean sum of squares of treatment (MST) using the formula:

MST = SS for Treatment / df for Treatment

MST = 136 / 2

MST = 68

Therefore, the mean sum of squares of treatment (MST) is 68.

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When subtracting several quantities, the number of decimal places in the result should match the quantity with the fewest decimal places or the highest level of precision for consistency and accuracy.

When performing subtraction, it is important to maintain consistency in terms of decimal places or precision. The number of decimal places in the result should match the quantity with the fewest decimal places among the numbers being subtracted.

For example, let's consider the following subtraction:

2.4567 - 1.23 = 1.2267

In this case, both numbers have four decimal places, so the result also has four decimal places.

However, if we have a situation like this:

3.45 - 1.236 = 2.214

In this case, the number being subtracted has three decimal places, so the result is rounded to three decimal places to maintain consistency.

The general principle is to consider the number with the fewest decimal places or the highest level of precision when determining the number of decimal places in the result of a subtraction operation. This ensures that the result is presented in a consistent and meaningful manner.

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Answer:

1-8x

Step-by-step explanation:

1/x - 8

x × 1/x - 8× x

1-8x

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer:

5.72430099

Step-by-step explanation:

The correct answer is S = {A, D, D, I, T, I, O, N}.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The sample space is the set of all possible outcomes of an experiment or event.

In this case, the experiment is choosing one card from a set of eight labeled cards.

The sample space for this experiment is the set of all possible cards that can be chosen.

In the given problem, there are eight cards labeled A, D, D, I, T, I, O, N.

The sample space is the set of all possible cards that can be chosen, which is {A, D, D, I, T, I, O, N}.

This is because each card is distinct and can be chosen independently of the others.

Therefore, the correct answer is S = {A, D, D, I, T, I, O, N}.

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Answer: A( A,D, D,I, I,N,O,T)

Step-by-step explanation:

Order does not matter!!

The answer to this question is c.The use of a correlation coefficient.

The use of a correlation coefficient would tell you that an association claim is being made in a research study. A correlation coefficient is a statistical measure that shows the strength and direction of a relationship between two variables. It ranges from -1 to 1, with 0 indicating no relationship and -1 or 1 indicating a perfect negative or positive relationship, respectively.

A scatterplot or bar graph may be used to visually display the relationship between two variables, but they do not necessarily indicate that an association claim is being made. The measurement of two variables is necessary for any type of research study, but it does not inherently imply that an association claim is being made.

Interrogation of internal validity is a process used to ensure that the study's results accurately reflect the relationship between the variables being studied. It is important for any research study but does not specifically indicate that an association claim is being made.

Therefore,the answer to this question is c.The use of a correlation coefficient.

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Answer:

11) x = -1

12) y = 8

13) j = 155

14) g = -4

15) x = 18

Step-by-step explanation:

11) 2(x - 3) = -8

x - 3 = -4

x = -4 + 3 = -1

12) y + 3 = -2y + 27

3y = 24

y = 8

13) 2j - 3 + 3j = 2 (341 + 45)

5j - 3 = 2(386)

j = 155

14) 2(g + 1) = 3(g + 2)

2g + 2 = 3g + 6

-4 = g

15) 25 = 4/3 x + 1

25 - 1 = 4/3 x

24 = 4/3 x

18 = x

x = 18

g = -4

Answer:

7.57

Step-by-step explanation:

30.28/4 = 7/57

Answer:90

Step-by-step explanation:

If f(-x) = -f(x), the function is odd. and if f(-x) = f(x), the function is even.

A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.

We can decide algebraically if a function is even, odd or neither by replacing x by -x and computing f(-x).

If f(-x) = f(x), the function is even.

If f(-x) = -f(x), the function is odd.

In order to "determine algebraically" whether a function is even, odd, or neither, you take the function and plug − x in for x, simplify, and compare the results with what you'd started with.

If you end up with the exact same function that you started with (that is, if f (− x) = f (x), so all the signs are the same), then the function is even; if you end up with the exact opposite of what you started with (that is, if f (− x) = − f (x), so all the signs are switched), then the function is odd.

If the result is neither exactly the same nor exactly opposite (that is, nor having all the same terms but with all the signs reversed), then the function is neither even nor odd.

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Answer:

the answer will be 6 if am wrong please tell me

Answer:

f(6) = 30

Step-by-step explanation:

f(x) = x^2 - x is the function, correctly written.

To find f(6), substitute 6 for each occurrence of x:

f(6) = 6^2 - 6, or

f(6) = 36 - 6, or

f(6) = 30

Using the standard z table, a 95% confidence interval for p is (0.5327,0.6173).

In the given question,

A poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate.

We have to find a 95% confidence interval for p.

From the question, x=302, n=525

So estimation point,

P=x/n

P=302/525

P=0.575

Now the z value of 95% confidence interval is 1.960 using the standard z table.

Margin of Error (E)=z×√{P(1−P)}/n

Now putting the value

E=1.960×√{0.575(1−0.575)}/525

E=1.960×√(0.575×0.425)/525

E=1.960×√0.244/525

E=1.960×√0.000465

E=1.960×0.0216

E=0.0423

At 95% confidence interval for p is

P−E ≤ p ≤ P+E

Now putting the value

0.575−0.0423≤ p ≤0.575+0.0423

0.5327≤ p ≤0.6173

Hence, a 95% confidence interval for p is (0.5327,0.6173).

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Answer:

I get 3 so i don't know

Step-by-step explanation:

Although part of your question is missing, you might be referring to this full question: The stadium has 15400 seats and it is to be renovated with a new seating capacity of 20790 seats. After renovation what will be the percentage increase in the number of seats?

The initial capacity of the stadium  = 15400 seats

Planned new capacity = 20790 seats

Increment in the number of seats = 20790 - 15400 = 5390 seats

Percentage increase in the number of seats = (Increment in seats/Initial capacity of the stadium)*100

Therefore,

(5390/15400)*100 = 0.35*100 = 35%

So the percentage increase in the number of seats after renovation will be 35%

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Let the event D be that a person has the disease.

Now Let T be positive test and T' be a negative test result.

So the probability that the person has the disease given that the test is positive is given by:

So only 0.46% of the people who tested positive will have the disease.

Answer:

18 and 42 are both multiples of 6, and when I add them, I also get a multiple of 6:

18+42=60.

Explain to Nina why adding two multiples of 6 will always result in another multiple of 6.

Step-by-step explanation:

18 and 42 are both multiples of 6 which means 6 is a factor of both numbers.

6⋅3=18

6⋅7=42

Solution_1_82d819495d2abc4f1edf4f9286349041

When you add 18 and 42, you can use the distributive property to show that the sum is also a multiple of 6:

6⋅3+6⋅7=6⋅(3+7)=6⋅10

This is due to the distributive property of addition of numbers.

It is given that while finding multiples of 6 , Nina got that 18 and 42 are both multiples of 6, and when she add them, she again get's a multiple of 6.

We have to explain the reason behind this.

What is the distributive property of addition ?

This is given by ; a × ( b + c ) = ( a + b ) × c .

As per the question , 18 and 42 are multiples of 6 which meant 6 is a factor of both numbers , i.e.,

6 × 3 = 18

6 × 7 = 42

While adding these two numbers we can use distributive properties to show that sum is also a multiple of 6.

6 × 3 + 6 × 7 = 6 × ( 3 + 7 ) = 6 × 10

Assume , if a & b are two multiples of 6 , then ;

6 × a

6 × b

When we add them ;

6 × a + 6 × b = 6 × ( a + b )

here ; a and b are whole numbers.

Thus , if we use distributive property , the sum of two multiples of any whole number is always a multiple of that number.

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The surface area οf the larger sοlid is apprοximately 99 cm².

If twο sοlids are mathematically similar, then their cοrrespοnding dimensiοns are prοpοrtiοnal.

Let the dimensiοns οf the larger sοlid be k times that οf the smaller sοlid. Then, we have:

Vοlume οf smaller sοlid \(= (side length)^3 = 24 cm^3\)

Vοlume οf larger sοlid \(= k^3 * (side length)^3 = 81 cm^3\)

By dividing the secοnd equatiοn by the first, we get:

\(k^3 = 81/24 = 3.375\)

When we take the cube rοοt οf bοth sides, we get:

k ≈ 1.5

Sο, the dimensiοns οf the larger sοlid are 1.5 times that οf the smaller sοlid.

Let A just be the surface-area οf the smaller sοlid. Then, the surface area οf the larger sοlid is given by:

\(A' = (1.5)^2 * A = 2.25A\)

Substituting \(A = 44 cm^2\), we get:

\(A' = 2.25 * 44 cm^2 \approx 99 cm^2\)

Therefοre, the surface area οf the larger sοlid is apprοximately 99 cm².

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Answer:

4a×6a^5 ÷8a^2

24a^6÷8a^2

3a^4

Answer:

Step-by-step explanation:

here you go mate

step 1

4a x 6a⁵ ÷ 8a²   equation

step 2

4a( 6a^5 /8 =a2)  simplify

answer

\(3a^8\)

Answer:

\(\huge\boxed{\sf (f+g)(x) = 4x - 1}\)

Step-by-step explanation:

Add both functions

(f+g)(x) = 3x - 2 + x + 1

Combine like terms

(f+g)(x) = 3x + x - 2 + 1

(f+g)(x) = 4x - 1

\(\rule[225]{225}{2}\)

Answer:

\((f+g)(x)=4x-1\)

Step-by-step explanation:

Functions written in equation form usually have several parts:

So, for instance, \(g(x)=x+1\) has a name of "g", has an input of "x", and has a rule that it adds 1 to the input to get the output.

The name of the function should tell what rule to follow (look for the equation with that function name), or it may give some details on what the function does.

Dealing with so many different problems, functions often get a default name of "f", "g", or "h".  

If a function is special and/or used commonly, it will sometimes get a special name (like the natural logarithm function "ln").

In this case, the function is (f+g)(x).  The function name means that the result of each function, f and g, will be added together, while using the same input "x" for both functions.

\((f+g)(x)=f(x)+g(x)\\=(3x-2)+(x+1)\\=3x+(-2)+x+1\\=4x+(-1)\\=4x-1\)

So, given these two functions for "f" and "g",  \((f+g)(x)=4x-1\)

The process capability ratio for the width of the product is approximately 7.15.

To find the process capability ratio, we need to calculate the ratio of the process tolerance to the process variation. The process tolerance is defined as the difference between the upper specification limit (USL) and the lower specification limit (LSL). The process variation can be estimated using the standard deviation.

Given that the process specification for the width of the product is 1.50 ± 0.50 microns, we can determine the USL and LSL as follows:

USL = 1.50 + 0.50 = 2.00 microns

LSL = 1.50 - 0.50 = 1.00 microns

The process tolerance is the difference between the USL and LSL:

Process Tolerance = USL - LSL = 2.00 - 1.00 = 1.00 micron

The process variation can be estimated using the given standard deviation of 0.1398.

Now, we can calculate the process capability ratio, which is the ratio of process tolerance to process variation:

Process Capability Ratio = Process Tolerance / Process Variation

Process Capability Ratio = 1.00 / 0.1398 ≈ 7.15

The process capability ratio provides an indication of how well the process is capable of meeting the specified tolerances. In this case, a process capability ratio of 7.15 suggests that the process has a relatively high capability to meet the width specifications, as the process tolerance is about 7.15 times smaller than the estimated process variation.

It's important to note that the process capability ratio is just one measure of process performance, and other factors such as process centering and process stability should also be considered for a comprehensive assessment of the process capability.

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Answer: 55

Step-by-step explanation: