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Solve for p
3(2p−1)−2(3p+4)=11p

Answer:

200.96 ft²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius ) , then

A = 3.14 × 8² = 3.14 × 64 = 200.96 ft²

Answer:

Step-by-step explanation:

Given expression

Solving for x

Value of x when p= - 5

Answer:hdhdh

Step-by-step explanation:

the answer to your question is a.

Answer:

5 > n + 10

8 x 7 < n

n/3 + 1

6 x 8 - 10 < n

n - 1 x n

n x -n + 7

The probability of making a Type I error is represented by alpha (α), which is typically set to 0.05 in hypothesis testing. Therefore, if α = .05, the likelihood of making a Type I error is 5% at most.

What is hypothesis testing? Hypothesis testing, also known as statistical hypothesis testing, is a technique used to evaluate two hypotheses about a population using sample data. One hypothesis, known as the null hypothesis (H0), proposes that there is no significant difference between a population parameter and a sample parameter, whereas the other hypothesis, known as the alternative hypothesis (H1), suggests that there is a significant difference between a population parameter and a sample parameter.You might have made a Type I error, but the probability is only 5% at most is true if you complete a hypothesis test using α = .05, and based on the evidence from the sample, your decision is to reject the null hypothesis, but the treatment actually has no effect. In the given situation, if the treatment actually has no effect, you might have made a Type I error, but the probability is only 5% at most. When the null hypothesis is rejected when it should not be, a Type I error occurs. The probability of making a Type I error is represented by alpha (α), which is typically set to 0.05 in hypothesis testing. Therefore, if α = .05, the likelihood of making a Type I error is 5% at most.

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Blender provides a visual interface that allows users to interactively mark seams and unwrap the UV coordinates for further adjustments and mapping onto the surface of the cube.

(a) In the simplest possible structure of a cube mesh, there are 8 vertices. Each corner of the cube represents a vertex.

(b) In the simplest possible structure of a cube mesh, there are 12 edges. Each edge connects two vertices of the cube.

(c) In the simplest possible structure of a cube mesh, there are 6 faces. Each face of the cube represents a face in the mesh.

(d) To mark seams in the mesh for the standard UV layout of a cube in Blender, you can select the edges that define the boundaries of each face. In the case of a cube, this means selecting all the edges that surround each face of the cube. By marking these edges as seams, Blender will unwrap the UVs in a way that corresponds to the standard layout of a cube.

(e) To create a different-looking UV layout, you can mark seams along different edges of the cube. For example, instead of marking the edges that define the boundaries of each face, you can mark seams along diagonals or other edges that result in a different division of the cube's surface. This will produce a UV layout that looks distinct from the standard layout.

Note: To actually perform these actions and see the results in Blender, you can open Blender and enter Edit Mode (press Tab), select the edges you want to mark as seams (press Ctrl+E and choose "Mark Seam"), and then unwrap the UVs (press U and choose the unwrapping method).

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The distance between J1 and J2 is 2.94 miles using cosine rule.

What is cosine rule?

Cosine rule relates to the lengths of the sides of a triangle with any of its angles being a cosine angle. With the help of this rule, we can calculate the length of the side of a triangle or can find the measure of the angle between the sides.

cos x = (\(b^{2} +c^{2} -a^{2}\))/2bc

x = 45

b = 4

c = 2

to find a

cos 45 = 4(4) +2(2) - \(a^{2}\)/2(4)(2)

1/\(\sqrt{2}\) = 16 +4 - \(a^{2}\)/16

16/\(\sqrt{2}\) = 20 - \(a^{2}\)

a = 2.94

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In regression analysis, the predictor variable is  called independent variable. So the option a is correct.

An independent variable is an explanatory variable in a statistical model which is hypothesized to cause or influence the dependent variable. The independent variables are the factors that are changed or controlled in an experiment in order to observe the effects on the dependent variable.

A dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable. In other words, its value is affected by the independent variable.

A correlation variable is a variable that is measured and compared in order to assess the relationship between two or more variables. It is often used to measure the strength of the relationship between two variables.

A variable of determination is a statistical measure of the strength of the relationship between two variables. It is calculated by squaring the correlation between the two variables. It is used to determine how much of the variation in one variable can be explained by the other variable.

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The complete question is:

In regression analysis, what is the predictor variable called?

a. independent variable

b. dependent variable

c. correlation variable

d. variable of determination

Answer:

x=17 degrees

Step-by-step explanation:

All 3 angles = 180 degrees

So 90 + 54 + (x+19) = 180

Combine like terms

163 + x = 180

Subtract 163 from both sides

x = 180-163

x = 17

The area of the heptagon will be 533.61 square feet. Then the cost of the gazebo's flooring will be $ 5336.1.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A landscape design company is building a large gazebo for a backyard. It is in the shape of the regular polygon shown below, where the measurements are in feet.

A heptagon is given with an apothem of 12.6 ft and a side length of 12.1 ft.

Then the area of the heptagon is given as

Area of heptagon = 7 x area of a triangle

Area of heptagon = 7 x 0.5 x 12.1 x 12.6

Area of heptagon = 533.61 square ft

If the costs $10 per square foot for the special wood the homeowner wants.

Then we have

Total cost = 10 x 533.61

Total cost = $ 5336.1

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Answer:

3x-15

Step-by-step explanation:

7x-35/21

7(x-5)/21

3(x-5)

3x-15

As the y-intercept increases, the graph of the line shifts up;

As the y-intercept decreases, the graph of the line shifts down

There are two perspectives on this issue. The graphical technique would be the first method.

If we merely alter the y-intercept, the slope remains unchanged;

The vertical axis is the y-axis;

A higher or lower y-intercept can be obtained by shifting the line's point of intersection with the y-axis, respectively.

Now, using algebraic reasoning, a line has the general form of the following equation:

When x = 0, the y-intercept is essentially computed as follows:

y = b:

The graph shifts up or down depending on how much we change the b value, which also affects how much the y value changes.

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The given function is strictly decreasing in interval (−∞, 4) & trictly increasing in interval  (4, −∞).

What is an increasing and decreasing functions?

For a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.

We have,

\(\frac{5}{512}\left(x-4\right)^2\left(x-8\right)\left(x-10\right)\left(x^2+16\right)\)

\(\frac{d}{dx}\left(\frac{5}{512}\left(x-4\right)^2\left(x-8\right)\left(x-10\right)\left(x^2+16\right)\right)\)

\(=\frac{5}{512}\frac{d}{dx}\left(\left(x-4\right)^2\left(x-8\right)\left(x-10\right)\left(x^2+16\right)\right)\)

\(f'(x)=\left(x-4\right)^2,\:g=\left(x-8\right)\left(x-10\right)\left(x^2+16\right)\)

\(=\frac{5}{512}\left(\frac{d}{dx}\left(\left(x-4\right)^2\right)\left(x-8\right)\left(x-10\right)\left(x^2+16\right)+\frac{d}{dx}\left(\left(x-8\right)\left(x-10\right)\left(x^2+16\right)\right)\left(x-4\right)^2\right)\)\(=\frac{5}{512}\left(2\left(x-4\right)\left(x-8\right)\left(x-10\right)\left(x^2+16\right)+\left(4x^3-54x^2+192x-288\right)\left(x-4\right)^2\right)\)

\(f'(x)=\frac{5\left(x-4\right)\left(3x^4-53x^3+300x^2-816x+1856\right)}{256}\)

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.

x = 4, 4i, −4i, 10, 8

∴ f′(x) = 0  

   x = 4,

Now, the point 4 divides the real line into two disjoint intervals i.e., (−∞, 4) and (4, −∞)

In interval (−∞, 4),  f′(x) < 0

Hence, the given function (f) is strictly decreasing in interval (−∞, 4)

​

In interval (4, −∞),  f′(x) > 0

Hence, the given function (f) is strictly increasing in interval  (4, −∞)

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​

Answer:

m∠A = 120°

m∠C = 45°

Step-by-step explanation:

all triangle angles add up to 180

(12x + 12) + 15 + (3x +18) = 180

15x + 45 = 180

15x = 135

x = 9

m∠A = (12x + 12) = 12(9) + 12 = 120

m∠C = (3x +18) = 3(9) + 18 = 45

Answer:

38

Step-by-step explanation:

(4² - (4 - 2)²) × 3.14 = 37.68 ≈ 38

1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.

2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.

3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.

The number on the third term and the eleventh term will be 22 and 46, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

In a game, the number of dominos in different lines structures an A.P. Assuming that the quantity of dominos in the third and eleventh cell together is 68 and the quantity of dominos in the eleventh cell is 24 a bigger number than of the third cell.

Let 'x' be the third number and 'y' be the eleventh number. Then the equations are given below.

x + y = 68          ...1

y = x + 24          ...2

From equations 1 and 2, then we have

x + x + 24 = 68

2x = 44

x = 22

Then the value of the variable 'y' will be given as,

y = 22 + 24

y = 46

The number on the third term and the eleventh term will be 22 and 46, respectively.

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The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

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Answer:

Given:

radius of bigger half circle[R]=(7+7+14)/2=14cm

radius of smaller half circle [r]=14/2=7cm

Area of shaded region =1/2[πR² -πr²]

=1/2×22/7×[14²-7²]=231cm²

Area of shaded region=231cm²

Answer:

1800 grams

Step-by-step explanation:

1.8 × 1000 = 1800

To convert kg to g you have to multiply the mass value by 1000

hope it helps!

Using the method of undetermined coefficients, we found one solution to the given differential equation:
\(y_p(t) = (1/6) * e^(5t)\)

To find a particular solution of the given differential equation\(y'' - 9y' + 26y = e^(5t)\)using the method of undetermined coefficients, follow these steps:
Step 1: Identify the form of the non-homogeneous term
The non-homogeneous term is \(e^(5t).\).

Since it is an exponential function, our guess for a particular solution will be in the form A * e^(5t),

where A is an undetermined coefficient.
Step 2: Compute derivatives
Now, compute the first and second derivatives of our guess:
\(y_p = A * e^(5t)\)
\(y_p' = 5A * e^(5t)\)
\(y_p'' = 25A * e^(5t)\)
Step 3: Plug the derivatives into the given equation
Substitute the guess and its derivatives into the differential equation:
\((25A * e^(5t)) - 9(5A * e^(5t)) + 26(A * e^(5t)) = e^(5t)\)
Step 4: Solve for the undetermined coefficient
Now, we need to solve for the undetermined coefficient A:
\((25A - 45A + 26A) * e^(5t) = e^(5t)\)
\((6A) * e^(5t) = e^(5t)\)
Divide both sides by e^(5t):
6A = 1
Now, solve for A:
A = 1/6
Step 5: Write the particular solution
Our particular solution with the found coefficient is:
\(y_p(t) = (1/6) * e^(5t)\)

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Answer:

28

Step-by-step explanation:

A complimentary angle means that both angles (together) will equal a right angle (90°)

∠1 + ∠2 = 90°

90 - 62 = 28

Answer:

D. h = 63

Step-by-step explanation:

h/9 = 7

h = 9×7

h = 63

Answer:

$4.25

Step-by-step explanation:

4 quarters is 1 dollar

1 nickel is 5 cent

14 divided by 4 = 3.5

3.5 + 5 times 5 =  $4.25

Step-by-step explanation:

1 dollar = 4 quarters

1 dollar = 20 nickel

1 nickel = 0.2 quarter

5 nickel = 0.2 x 5 = 1 quarter

14+ 1 = 15 quarter

15 quarter = 3.75$

The correct answer is c. Inferential Statistics.

Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.

Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.

This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.

Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.

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Answer:

C

Step-by-step explanation:

Answer:

Answer :c

step by step explanation:

a) A z-score of 2.67 corresponds to a very small probability, indicating that a pregnancy length of 308 days is indeed unusual. b) The probability associated with a z-score of -7.87 using the standard normal distribution table or statistical software.

To find the z-score for a given value, we can use the formula:

z = (x - μ) / σ

where:

x is the given value,

μ is the mean,

σ is the standard deviation,

and z is the z-score.

a) For a pregnancy length of 308 days:

Mean (μ) = 268 days

Standard Deviation (σ) = 15 days

x = 308 days

z = (308 - 268) / 15 = 40 / 15 ≈ 2.67

To determine if this length is unusual, we can compare the z-score to the standard normal distribution table or use statistical software to find the corresponding probability.

b) For a pregnancy length of 150 days:

Mean (μ) = 268 days

Standard Deviation (σ) = 15 days

x = 150 days

z = (150 - 268) / 15 = -118 / 15 ≈ -7.87

Similarly, we can find the probability associated with a z-score of -7.87 using the standard normal distribution table or statistical software. A negative z-score indicates a value below the mean. In this case, a pregnancy length of 150 days would have an extremely low probability, suggesting it is highly unusual and likely indicative of a significant deviation from the norm.

The complete question is:

A woman wrote to Dear Abby and claimed that she gave birth 308 days after a visit from her husband, who was in the Navy. Lengths of pregnancies have a mean of 268 days and a standard deviation of 15 days. Find the z score for 308 days. Is such a length unusual?  

a) What is the probability for this pregnancy?

b) What is the probability for  150 days pregnancy?  Mean = 268, Standard Deviation = 15.

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Answer:

-4 1/2 or -4.5 or -9/2

Step-by-step explanation:

4x +3y =5 -------> eq (1)

2x -5y =9 -------> eq(2)

eq(2) * -2 --------> -4x +10y =-18 ------->eq(3)

eq(1) + eq(3) -----> 13y =13 ----> y=1 <>

then When you substitute y=1 into any equation

x=7

The total number of ways/ permutation that A occupies first position is 24 ,  A occupies the first position, and B the second is 6 and a appears before b is 10 ways.

What is permutation ?

Permutation is a meeting of objects in an exceedingly definite order. The members or components of sets square measure organized here in an exceedingly sequence or linear order.

Main body:

A) a occupies the first position-

As A is first, and arrange the remaining letters.  letters (B,C,D,E,F) can be arranged as-

4*3*2*1 = 24 ways

B) a occupies the first position, and b the second

As A is first and b is just after it , there are 5 position out of which 2 are taken by A, B in order , so number of ways they can be arranged is

3*2*1 = 6 ways

C) a appears before b

in this part there is no  condition that a appears just before b , so b can be places anywhere after A.

after fixing A at first place , B can be placed at 4 places.

after fixing A at 2nd place , B can be placed at 3 places.

after fixing A at 3rd place , B can be placed at 2 places.

after fixing A at 4th  place , B can be placed at 1 places.

total ways = 4+3+2+1 = 10

Hence the answer to these parts are 24, 6,10

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