7. What is the number?
The number is between 10 and 20.
The number is composite.
The number is odd.

The 99 percent confidence interval for the mean score of all subjects lies greater than 63.464 and less than 78.936.

Given:

No. of samples (n)= 16

df = n-1 = 16 -1 = 15

The mean score is 71.2

The standard deviation = 10.5.

So, from the t-distribution of critical values table through the above-mentioned details. We get the values:

Alpha / 2 = 0.005

z = 99/100 + 0.005 = .99 + .005 = .995

Sample mean = xbar = 76.2

t = 2.947

The formula for standard error = E = value of t (at z, and df) / S.D./sqrt(n)

i.e. E = 2.947 x 10.5 / sqrt 16 = 7.736

I = 71.2 +/- E =  71.2 +/-  7.736

99 percent confidence interval - 71.2 +/- 7.736

Adding both sides 7.736 for range. We get,

63.464 < u < 78.936

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To solve such problems we need to know about the Linear function.

A.)  y – 2 = –5(x – 2)

B.)  x + 7 = –4(x + 8)

C.)  y – 3 = y(x + 4)

D.)  y + 9 = x(x – 1)

A linear function is a function that is in the form of y=mx+c. thus we will check which functions are in this form, to know that a function is linear or not.

A.)  y – 2 = –5(x – 2)

\(y-2=-5(x-2)\\y-2= -5x+10\\y = -5x+10+2\\y = -5x+12\)

As we can that the function is in the form of y=mx+c. therefore, the function is a linear function.

B.)  x + 7 = –4(x + 8)

\(x+7 = -4(x+8)\\x+7 = -4x-32\\4x + x = -32-7\\5x = -39\)

As we can that the function is not in the form of y=mx+c. therefore, the function is a non-linear function.

C.)  y – 3 = y(x + 4)

\(y-3=y(x+4)\\y-3=yx+4y\\\)

As we can that the function is not in the form of y=mx+c. therefore, the function is a non-linear function.

D.) y + 9 = x(x – 1)

\(y+9 = x(x-1)\\y+9 = x^2 -x\\\)

As we can that the function is not in the form of y=mx+c. therefore, the function is a non-linear function.

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Answer:

the answeris A

Step-by-step explanation:

Took the test on E-2022

Check the picture below.

let's firstly convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{7\frac{1}{2}}\implies \cfrac{7\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{15}{2}} ~\hfill \stackrel{mixed}{12\frac{1}{2}}\implies \cfrac{12\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{25}{2}} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{\Large Areas}}{\stackrel{two~triangles}{2\left[ \cfrac{1}{2}\left(\cfrac{15}{2} \right)(10) \right]}~~ + ~~\stackrel{\textit{three rectangles}}{(10)(15)~~ + ~~\left( \cfrac{15}{2} \right)(15)~~ + ~~\left( \cfrac{25}{2} \right)(15)}} \\\\\\ 75~~ + ~~150~~ + ~~112.5~~ + ~~187.5\implies \boxed{525}\)

Answer:

-10= -40/4 b=-40

Step-by-step explanation:

Answer:

b=40

Step-by-step explanation:

The sample means are Mean(Y) = 61.4 and Mean(X) = 15, the sample variances are Variance(Y) ≈ 1124.89 and Variance(X) ≈ 2.67, the sample standard deviations are Standard deviation(Y) ≈ 33.56 and Standard deviation(X) ≈ 1.63, the sample covariance is Covariance(X, Y) ≈ -131.69, and the sample correlation is Correlation(X, Y) ≈ -0.77.

a. To find the sample means, variances, and standard deviation, we can use the following formulas:

Sample mean of income (Y):

Mean(Y) = (100 + 65 + 47 + 112 + 34 + 85 + 92 + 83 + 67 + 29) / 10 = 614 / 10 = 61.4

Sample mean of education (X):

Mean(X) = (18 + 14 + 14 + 16 + 12 + 16 + 18 + 14 + 16 + 12) / 10 = 150 / 10 = 15

Sample variance of income (Y):

Variance(Y) = [(100 - 61.4)^2 + (65 - 61.4)^2 + (47 - 61.4)^2 + (112 - 61.4)^2 + (34 - 61.4)^2 + (85 - 61.4)^2 + (92 - 61.4)^2 + (83 - 61.4)^2 + (67 - 61.4)^2 + (29 - 61.4)^2] / 9 ≈ 1124.89

Sample variance of education (X):

Variance(X) = [(18 - 15)^2 + (14 - 15)^2 + (14 - 15)^2 + (16 - 15)^2 + (12 - 15)^2 + (16 - 15)^2 + (18 - 15)^2 + (14 - 15)^2 + (16 - 15)^2 + (12 - 15)^2] / 9 ≈ 2.67

Sample standard deviation of income (Y):

Standard deviation(Y) = √Variance(Y) ≈ √1124.89 ≈ 33.56

Sample standard deviation of education (X):

Standard deviation(X) = √Variance(X) ≈ √2.67 ≈ 1.63

b. To find the sample covariance and correlation, we can use the following formulas:

Sample covariance:

Covariance(X, Y) = [(18 - 15)(100 - 61.4) + (14 - 15)(65 - 61.4) + (14 - 15)(47 - 61.4) + (16 - 15)(112 - 61.4) + (12 - 15)(34 - 61.4) + (16 - 15)(85 - 61.4) + (18 - 15)(92 - 61.4) + (14 - 15)(83 - 61.4) + (16 - 15)(67 - 61.4) + (12 - 15)(29 - 61.4)] / 9 ≈ -131.69

Sample correlation:

Correlation(X, Y) = Covariance(X, Y) / (Standard deviation(X) * Standard deviation(Y)) ≈ -131.69 / (1.63 * 33.56) ≈ -0.77

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Correct question-

Consider the following random sample of income and education: Income(Y) Education(X) 100 18 65 14 47 14 112 16 34 12 85 16 92 18 83 14 67 16 29 12 a. Find sample means, variances and standard deviation. b. Find sample covariance and correlation.

The difference between distributed vs. distributional representations: Distributed representations use word co-occurrence, while distributional representations use vectors. So, option 1 is the correct answer.

A distributed representation is a model for representing a concept, object, or event in which each entity is defined by a list of factors. These features are usually weighted to reflect their relative importance to the object being modeled.

A distributional representation is a model for representing linguistic meaning in which words are represented by vectors. This approach builds on the observation that words that appear in similar contexts in texts are often semantically similar. As a result, a word's meaning is derived from the distributional information about it that is captured by its context in the text. Distributed representations use word co-occurrence, while distributional representations use vectors. Option 1 is the correct answer.

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With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.

Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.

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The algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y). (Option D)

A dilation is a type of transformation that changes the size of the shape or object.  It refers to a process of changing an object’s size by decreasing or increasing its dimensions by a scaling factor. A dilation produces an image that has the same shape as the original image but is a different size.

A dilation that results in a larger image is called an enlargement while a dilation that generates a smaller image is called a reduction. A dilation is described using the scale factor and the center of the dilation (which is a fixed point in the plane).

For a scale factor > 1, the image is an enlargement; for a scale factor < 1 and  > 0, the image is a reduction; and for a scale factor = 1, the figure and the image are congruent. Hence, for a point (x,y), algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y) as the scale factor is greater than 1. For the remaining options, the scale factor is between 0 and 1, hence they are reduction.

Note: The question is incomplete. The complete question probably is: Which of the following algebraic representation shows a dilation that is an enlargement? A) (1/3 x,1/3 y) B) (0.1x, 0.1y) C) (5/6 x,5/6 y) D) (5/2 x,5/2 y)

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Answer:

$126

Step-by-step explanation:

A deposit adds money into your checking account, so add $150 to $37.

150+37=187

If you write a check, you take money out, so subtract $61 from $187

187-61=126

Your final answer is $126. Hope this helps!

The volume of the cylinder are:

V₁ = 4.8 unit³

V₂ = 5.6 unit³

V = 10.4 unit³

To read the volume in a cylindrical tube, you need to locate the meniscus. The meniscus is the curve at the surface of the liquid in the tube. The bottom of the meniscus indicates the volume measurement.

In this case, the meniscus is at 4.8 and 5.6 for V₁ and V₂ respectively. Thus, the volume readings are:

V₁ = 4.8 unit³

V₂ = 5.6 unit³

V = V₁ + V₂

V = 4.8 + 5.6 = 10.4 unit³

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A bar chart is a graph that shows the differences in frequencies or percentages among categories of a nominal or an ordinal variable.

A bar chart is a commonly used graphical representation to display the distribution of data in different categories. It is particularly useful when working with nominal or ordinal variables, where the categories are distinct and unordered or have a specific order.

In a bar chart, each category is represented by a rectangular bar whose length corresponds to the frequency or percentage associated with that category. The height of the bar represents the magnitude or count of the variable in each category, allowing for easy visual comparison between the categories.

The bars in a bar chart can be arranged horizontally or vertically, depending on the preference or nature of the data. The chart may also include labels or annotations to indicate the category names or additional information.

By examining the lengths or heights of the bars in a bar chart, it becomes easy to identify the categories with the highest or lowest frequencies or percentages, as well as to compare the relative magnitudes among the different categories. This graphical representation aids in visualizing and interpreting the distribution of a nominal or an ordinal variable effectively.

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The distance from home plate to second base is 180 feet, which is double the distance from home plate to first base.

A baseball diamond is a square with four bases, with home plate in the middle. 90 feet separate first base from home plate, and 90 more feet separate first base from second base. Therefore, the total distance from home plate to second base is twice that distance, or 180 feet. The same applies to all of the bases; the distance between them is always 90 feet, so the total distance from home plate to any base is twice that of the distance from home plate to first base. This means that the distance from home plate to second base, third base, and home plate is all 180 feet.

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Answer:

Angle g = 90°

Angle between x and G = 30°

Angle x= 180-(90+30)

= 180-120=60°

The correct statement as to how to obtain the length of the hypotenuse is given as follows:

Multiply that leg's length by √2.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

On a 45-45-90 triangle, we have that the two sides have the same length, hence the hypotenuse is obtained as follows:

h² = l² + l²

h² = 2l²

\(h = \sqrt{2 \times l^2}\)

\(h = l\sqrt{2}\)

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Answer:

Factor each coefficient into primes

Step-by-step explanation:

The Factor  expression shows the greatest common factor correctly factored from the expression 12a2−36ab+18b2 is each coefficient into primes.

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You can use a rule of three to find the answer to this question.

$55------>2

x---------->8

The value of x, that is the amount he will do in 8 hours, is:

He will make $220 in 8 hours.

Answer: 220

Step-by-step explanation:

because it is

The height the anchor begins to drop is 17.5 m

Since a Naval Carrier dropped anchor off the coast. The massive anchor drops at 3.5 m/s and will be 52.5 meters under the surface of the water after 20 seconds.

Let

The total height the anchor drops is thus H = h + h'

Now, the total height the anchor drops H = vt where

So, equating both equations, we have

vt = h + h'

Making h subject of the formula, we have that

h = vt - h'

Given that

Substituting the values of the variables into the equation, we have that

h = vt - h'

h = 3.5 m/s × 20 s - 52.5 m

h = 70 m - 52.5 m

h = 17.5 m

So, the anchor drops 17.5 m

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Answer:

remaining portion is area= area of rectangle- area of semicircle

= 18*14 - 3.14*7^2

=252-154.86

=199.86cm^2

Answer: 75%

Step-by-step explanation:

common sense

Answer:

Here the Greek letter π represents a constant, approximately equal to 3.14159, which is equal to the ratio of the circumference of any circle to its diameter.

Step-by-step explanation:

so true

have a good day

The dimensions that will result in a solid with maximum volume are approximately x = 12.02 centimeters and h = 5.01 centimeters.

Let the side of the square base be x, and let the height of the rectangular solid be h. Then, the surface area of the solid is given by:

Surface area = area of base + area of front + area of back + area of left + area of right

Surface area = x² + 2xh + 2xh + 2xh + 2xh = x² + 8xh

We are given that the surface area is 433.5 square centimeters, so we can write: x² + 8xh = 433.5

We want to find the dimensions that will result in a solid with maximum volume. The volume of the solid is given by:

Volume = area of base × height = x² × h

We can use the surface area equation to solve for h in terms of x:

x² + 8xh = 433.5

h = (433.5 - x²)/(8x)

Substituting this expression for h into the volume equation, we get:

Volume = x² × (433.5 - x²)/(8x) = (433.5x - x³)/8

To find the maximum volume, we need to find the value of x that maximizes this expression. To do this, we can take the derivative of the expression with respect to x, set it equal to zero, and solve for x:

d(Volume)/dx = (433.5 - 3x²)/8 = 0

433.5 - 3x² = 0

x² = 144.5

x = sqrt(144.5) ≈ 12.02

We can check that this is a maximum by computing the second derivative of the volume expression with respect to x:

d²(Volume)/dx² = -3x/4

At x = sqrt(144.5), this is negative, which means that the volume is maximized at x = sqrt(144.5).

Substituting x = sqrt(144.5) into the expression for h, we get:

h = (433.5 - (sqrt(144.5))²)/(8×sqrt(144.5))

h = 433.5/(8×sqrt(144.5)) - sqrt(144.5)/8

h = 5.01

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The dimensions of the rectangular solid that will result in a maximum volume are approximately.\(6.34 cm \times 9.03 cm \times 9.03 cm.\)

Let's assume that the length, width, and height of the rectangular solid are all equal to x, so the base of the solid is a square.

The surface area of the rectangular solid can be expressed as:

\(SA = 2xy + 2xz + 2yz\)

Substituting x for y and z, we get:

\(SA = 2x^2 + 4xy\)

We are given that the surface area is 433.5 square centimeters, so:

\(2x^2 + 4xy = 433.5\)

Simplifying, we get:

\(x^2 + 2xy - 216.75 = 0\)

Using the quadratic formula to solve for y, we get:

\(y = (-2x\± \sqrt (4x^2 + 4(216.75)))/2\)

\(y = -x \± \sqrt (x^2 + 216.75)\)

Since the base of the rectangular solid is a square, we know that y = z. So:

\(z = -x \± \sqrt(x^2 + 216.75)\)

The volume of the rectangular solid is given by:

\(V = x^2y\)

Substituting y for\(-x + \sqrt (x^2 + 216.75),\) we get:

\(V = x^2(-x + \sqrt(x^2 + 216.75))\)

Expanding and simplifying, we get:

\(V = -x^3 + x^2\sqrt(x^2 + 216.75)\)

The dimensions that will result in a solid with maximum volume, we need to find the value of x that maximizes the volume V.

We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

\(dV/dx = -3x^2 + 2x\sqrt(x^2 + 216.75) + x^2/(2\sqrt (x^2 + 216.75)) = 0\)

Multiplying both sides by \(2\sqrt (x^2 + 216.75)\) to eliminate the denominator, we get:

\(-6x^2\sqrt (x^2 + 216.75) + 4x(x^2 + 216.75) + x^3 = 0\)

Simplifying, we get:

\(x^3 - 6x^2\sqrt (x^2 + 216.75) + 4x(x^2 + 216.75) = 0\)

We can solve this equation numerically using a graphing calculator or computer software.

\(The solution is approximately x = 6.34 centimeters.\)

Substituting x = 6.34 into the expression for y and z, we get:

\(y = z \approx 9.03 centimeters\)

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A Poisson random variable represents the number of occurrences of an event in a fixed interval of time or space. It is a discrete random variable, which means that it can only take on integer values, starting from zero. Therefore, the smallest numerical value that a Poisson random variable can be is zero.

This means that there is a possibility that the event will not occur at all during the given interval. For example, if we are counting the number of customers who visit a store in an hour, it is possible that no customers show up during that hour, resulting in a Poisson random variable of zero.

However, the probability of this occurring depends on the average rate of the event occurring, which is denoted by the parameter λ in the Poisson distribution. The larger the value of λ, the smaller the probability of a Poisson random variable being zero.

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We can solve this system of equations by substitution or elimination method. Solving, we find the values a = -52 and b = -32.

To find the values of a and b, we need to use the properties of local maximum and minimum points in a function.

First, let's find the derivative of the given function, y = 2x^3 + ax^2 + bx + 36, with respect to x. The derivative will give us the slope of the function at any given point.

y' = 6x^2 + 2ax + b

For a local maximum or minimum, the derivative of the function should be equal to zero. So, we set y' = 0 and solve for x to find the critical points.

6x^2 + 2ax + b = 0

Now, we have two critical points: x = -4 and x = 5.

At x = -4, the function has a local maximum. Substituting x = -4 into the derivative equation:

6(-4)^2 + 2a(-4) + b = 0

96 - 8a + b = 0    ----(1)

At x = 5, the function has a local minimum. Substituting x = 5 into the derivative equation:

6(5)^2 + 2a(5) + b = 0

150 + 10a + b = 0   ----(2)

Now, we have a system of two equations (1) and (2) with two unknowns (a and b). Solving this system of equations will give us the values of a and b.

From equation (1):

-8a + b = -96

From equation (2):

10a + b = -150

We can solve this system of equations by substitution or elimination method. Solving, we find a = -52 and b = -32.

The values of a and b are a = -52 and b = -32, respectively.

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A source of money that allows individuals to pay for goods and services later is called consumer credit and an advantage of this source of money is that there are no interest charges.

Consumer credit, also known as consumer debt, enables the consumers to incur debt or borrow money and to defer repayment of that money over time. It allows consumers to buy goods without having to pay for them in cash at the time of purchase. Examples of consumer credit include credit cards, student loans, etc. Among the advantages of using consumer credit is that there is no interest charge to borrow the money for a certain period of time until the due date.

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Answer:

-7

Step-by-step explanation:

Pls give Brainliest!

the domain of the composition f(g(x)) is x ≥ -4, expressed in interval notation as (-4, ∞).

To find the composition f of g, we substitute the function g(x) into the function f(x). The composition is denoted as f(g(x)).

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

Replacing x in the function f(x) with (x - 1), we have:

f(g(x)) = √(3(x - 1) + 15)

Simplifying the expression inside the square root:

f(g(x)) = √(3x - 3 + 15)

f(g(x)) = √(3x + 12)

The composition of f(g(x)) is √(3x + 12).

To specify the domain of the composition, we consider the domain of g(x), which is all real numbers. However, since the function f(x) contains a square root, the argument inside the square root must be non-negative to ensure a real-valued result. Therefore, we set the expression inside the square root greater than or equal to zero:

3x + 12 ≥ 0

Solving this inequality, we have:

3x ≥ -12

x ≥ -4

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The calculated profit after 6 years since 2010 is 6.54 million dollars

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

P(t) = 2.1 + 0.5t + 0.04t^2

To calculate P(6), we substitite 6 for t in the function

So, we have

P(6) = 2.1 + 0.5(6) + 0.04(6)^2

Evaluating the expression

So, we have

P(6) = 6.54

Hence, the value of P(6) is 6.54 million dollars

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Answer:

A.

Step-by-step explanation:

EXPLANATION :

The cost of a 12 nights camp accommodation is 6720.

We need to divide the cost by 12 to get the cost per day.

Now, we are asked to find the cost of 7 nights and 4 nights.

We just need to multiply the daily rate by the number of nights.

a. 7 nights :

7 x 560 = 3920

b. 4 nights :

4 x 560 = 2240

ANSWER :

a. 3920

b. 2240

Answer:

26%

Step-by-step explanation: