Write 3 1/2 as a decimal number

Answer:

\( \boxed{ \bold{ { \boxed{ \sf{mean \: = \: 42 \: , \: mode = 46}}}}}\)

Option B is the correct option.

Step-by-step explanation:

Given data:

59 , 16 , 57 , 46 , 58 , 21 , 36 , 41 , 23 , 64 , 20 , 66 , 40 , 51 , 28 , 46

Σx ( sum of the items ) = 672

N ( total number of items ) = 16

Finding the mean

\( \boxed{ \sf{mean = \frac{sum \: of \: the \: items}{total \: number \: of \: items}}} \)

\( \longrightarrow{ \sf{ \frac{672}{16} }}\)

\( \longrightarrow{ \sf{42}}\)

Mean = 42

Finding the mode

In the given data , 46 has the highest frequency.

So, mode = 46

Hope I helped!

Best regards! :D

Answer:

b

Step-by-step explanation:

Answer:

parameter

Step-by-step explanation:

Answer:

\(\frac{167}{24}or\) \(6\frac{23}{24}\)

Step-by-step explanation:

\(9\frac{5}{6} -2\frac{7}{8} =\)

Convert to an improper fraction.

\(\frac{59}{6}-\frac{23}{8}\)

Find a common denominator.

\(\frac{236-69}{24}\)

Simplify

\(\frac{167}{24}=6\frac{23}{24}\)

good luck, hope this helps :)

The absolute minimum value is -8 and the absolute maximum value is 1.

Generally, To find the absolute extreme values of a function, you need to find its local extreme values (also called relative extreme values) and its global extreme values (also called absolute extreme values).

To find the local extreme values of a function, you can take the derivative of the function and set it equal to 0. This will give you the points at which the function has a local extreme value. For the function f(x) = x^3, the derivative is f'(x) = 3x^2. Setting f'(x) = 0 and solving for x gives us x = 0.

To find the global extreme values of a function, you also need to consider the values of the function at the endpoint of the interval. In this case, the interval is [-2, 1], so you need to find the values of f(-2) and f(1).

Plugging in these values gives us:

f(-2) = (-2)^3 = -8 f(1) = 1^3 = 1

So the absolute extreme values of f(x) = x^3 on the interval [-2, 1] are f(-2) = -8 and f(1) = 1.

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Answer:

10x+7

Step-by-step explanation:

6x+7+4x

6x+4x+7

10x+7

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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Answer:

\(\boxed{\tt A. \;y = .613x + 4.142}\)

Step-by-step explanation:

Equation: (y-y_1)=y_2-y_1/x_2-x_1 (x-x_1)

Here,

\(\tt (x_1,y_1):(-2,2.9)\)

\(\tt (x_2,y_2): (-3.5,2)\)

\(\tt y-2.9=\cfrac{(2-2.9)}{(-3-5-(-2))} (x-(-2))\)

\(\tt y-2.9=\cfrac{-0.9}{-1.5} (x+2)\)

\(\tt y-2.9=0.6(x+2)\)

\(\tt y-2.9=0.6x+1.2\)

\(\tt y=.613x+4.142\)

___________________

Hope this helps you!

Have a nice day!

Answer:

C. -34.972

Explanation:

Given the equation:

To solve for x, follow the steps below.

Step 1: Take the logarithm of both sides.

Step 2: Apply the index of a logarithm law stated below.

Step 3: Bring all the terms containing x together by dividing both sides by x log (9)

Step 4: Use a calculator to evaluate the right-hand side.

Step 5: Cross multiply and solve for x.

The value of x is -34.972 (Option C).

No, I don't agree with Sundeep. The mixture wont simply add up

When two liquids are mixed together, their volumes don't simply add up to equal the total volume of the mixture.

When sugar is mixed with water, the total volume of the mixture is usually slightly greater than the volume of the water alone, because the sugar particles take up space between the water molecules.

The volume of the mixture will be equal to the sum of the individual volumes only if the two liquids are completely immiscible, meaning they don't mix together at all. In this case, the total volume of the mixture will be equal to the sum of the volumes of water and sugar, which is 400 mL.

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The correct option are - A. x²  + (y – 3)²  = 36 and E. x²  + (y + 8)²  = 36 , for the equation of circle.

The standard form equation for just a circle, which is (x - s)² + (y - t)² = r², is used to formulate our equation if we assume a generic centre point like (s,t)and r is the radius of circle.

By simply expanding basic binomial squares in their regular form and merging like words, circles can likewise be presented in expanded form.

Now for the given data:

Put the values in the standard form of the circle:

(x - s)² + (y - t)² = r²,

(x - 0)² + (y - t)² = 6²,

x² + (y - t)² = 36

Where 't' can be any integer.

Thus, the options that satisfy the stated conditions are-

A. x²  + (y – 3)²  = 36 : here t = 3

and E. x²  + (y + 8)²  = 36 ; here t = - 8.

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Correct question:

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis?

Select two options.

A. x²  + (y – 3)²  = 36

B. x²  + (y – 5)²  = 6

C. (x – 4)² + y² = 36

D. (x + 6)² + y² = 144

E. x²  + (y + 8)²  = 36

From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

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Answer:

it will have 56 gallons

Step-by-step explanation:

Corrected Question

Given a triangle with two sides 4.1 cm and 6.7cm and an Included angle of \(35^\circ\). Use the Law of Cosines to determine the length of the third side of the triangle.

Answer:

(D) 4.1cm

Step-by-step explanation:

Given a triangle with two sides 4.1 cm and 6.7 cm and an included angle of \(35^\circ\).

Using Law of Cosines

\(a^2=b^2+c^2-2bc\cos A\\a^2=4.1^2+6.7^2-2*4.1*6.7\cos 35^\circ\\a^2=16.6958\\a=\sqrt{16.6958}\\a=4.09\\a \approx 4.1$ cm\)

The correct option is D.

Complete Question

The formula for the lateral area of a right cone is LA = πrs, where r is the radius of the base and s is the slant height of the cone. Which are equivalent equations? Select two correct answers.

a) s = s equals StartFraction L A Over pi r EndFraction.

b) s = s equals StartFraction pi r Over L A EndFraction.

c) s = LAr

d) r = r equals StartFraction L A Over pi s EndFraction.

e) r = LAs

Answer:

a) s equals StartFraction L A Over pi r EndFraction.

d) r = r equals StartFraction L A Over pi s EndFraction.

Step-by-step explanation:

The formula for the Lateral Surface Area of a right cone is given in the question as:

LA = πrs

Where

r is the radius of the base and s is the slant height of the cone.

From the options given,

We can make s the subject of the formula.

Hence:

Making s the subject of the formula

LA = πrs

Divide both sides by πr

s = LA/πr

Hence: Option a) s equals StartFraction L A Over pi r EndFraction. Is correct.

Step 2

Making r the subject of the Formula

LA = πrs

Divide both sides by πs

r = LA/πs

Hence: Option d) r equals StartFraction L A Over pi s EndFraction. Is correct.

Answer:

The answer is A and D.

Step-by-step explanation:

I took the quiz !

Answer:

884.4

Step-by-step explanation:

Answer:

The original price is 895.12$

I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this

Step-by-step explanation:

The range of the data is 5.

Ensure that the score column entries are listed in ascending numerical order. The entries in our example are listed in numerical order.

According to the definition, range is determined for continuous frequency distribution as the difference between the upper limit of the maximum interval and lower limit of the minimum interval of the grouped data.

1. Find the score column entry with the lowest value (with a Frequency greater than 0).

here we have 1 as the lowest entry. The lowest test score is 1.

2. Find the highest entry in the Score column (with a Frequency greater than 0).

here, we have 6 as the highest entry  The highest test score is 6.

Subtract the lowest number (1) from the highest number (6).

6 - 1 = 5

The range of the test scores is 5.

Hence we get the range of the given data as 5.

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Step-by-step explanation:

therefore 9 x 9+12

81+144

225/2

15

The solution of the system of equation above is (4, 6).

equation I = y=-1/4(3x-36)

y= -¾x+9

equation II= y=-1/2x+8

Substitute equation I into equation II

y= -¾x+9

-1/2x+8=-¾x+9

¾x-½x=9-8

¼x=1

x=4

Next, substitute the value x=4 into equation I

y= -¾x+9

y= -¾(4) +9

y=-3+9

y=6

The solution to the system of equations is (4, 6).

Your question is incomplete but most probably your full question was:

Solve the system of equations. Show your thinking. y=-1/4(3x-36) y=-1/2x+8

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Our vertex has an x-coordinate of 0, so the axis of symmetry for our function is x = 0. Now, let's consider the zeros of our function. Graphically, the zeros of a function are the x-coordinates of the points where the function crosses the x-axis. This occurs where y = 0.

A method of surveying their customers that will allow Big Deal to make valid conclusions about their customers' preferences is: A. Ask customers who are redeeming Big Bucks which they prefer.

In Science, a sample survey simply refers to a type of observational study that uses various data collection methods such as questionnaires and interviews, which favors it in revealing correlations between two data variables such as randomly selecting customers and interviewing them about their preferences.

In this context, a sample survey should be used to obtain or select data such as customers with a well defined sample size that is representative of the larger statistical population, in order to enhance valid conclusions about the customers' preferences.

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Complete Question:

Big Deal department store wants to conduct a survey of its customers to determine which type of promotion they prefer:

Big Bucks, which they earn each time they shop, or

Power Points, which they can redeem for coupons

They will ask their customers, “Which promotion do you prefer, Big Bucks or Power Points?” Which of the following methods of surveying their customers will allow Big Deal to make valid conclusions about their customers' preferences?

Ask customers who are redeeming Big Bucks which they prefer.

Ask every customer who shops on a particular Saturday between 8 a.m. and 10 a.m. for the Early Bird Promotion.

For a period of a year, ask every hundredth customer who enters the store which they prefer

Ask 100 customers who are shopping at Big Deal's competitor, Shop Till You Drop.

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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Continuous random variable is a random variable that can take on a continuum of worth. In alternative words, a random variable is said to be continuous if it supposes a value that falls between a particular interval.

A continuous random variable can be described as a random variable that can take on an infinite number of possible values. Due to this, the probability that a continuous random variable will take on a fixed value is 0.

The probability density function of a continuous random variable can be explained as a function that gives the probability that the value of the random variable will drop between a range of values. Let X be the continuous random variable, then the formula for the pdf, f(x).

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Answer:

1. distributive property

2. -1/6

3. 9/8

Step-by-step explanation:

for 2 and 3 check by using a calculator.

Answer:

5 to the fourth power is 625

625 / 25 is 25

so now you have 25 = 5 to the second power

and five to the second power is 25

Step-by-step explanation:

So the answer should be the third one.

Answer:

Step-by-step explanation:

(b/45) +7 > 5

(b/45) > -2

b > -90

Perimeter is 17 m ≥ 2* length 4.7 +2*widths

b. 9.4+2w ≤ 17

a. (2/7)n -10.6 < 12.4

(2/7)n <  12.4 +10.6

(2/7)n < 23

2n < 23*7

n < 161/2

n < 80.5

The visual that can help you in  creating a  3D structure using rectangular prism and others is given in the image attached.

3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.

In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure  will see and work within the real world.

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See text below



1. Start by creating a rectangular prism

as the base of your structure. This will

be the main structure that includes

the walls and interior rooms.

2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.

3. Add another cylindrical tower to the opposite corner of the rectangular

prism. Again, adjust the size and

height to your liking.

4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-

shaped roof to the other cylindrical tower.

5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.

6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.

7. Add a rectangular prism

perpendicular to the main structure,

creating an L-shape. This can be a

separate building or an extension of

the main structure.

8. Add a pyramid-shaped roof to the new

rectangular prism, and a cone-shaped roof to the cylindrical tower on the

opposite side of the main structure. 9. Finally, add spheres as decorative

elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,

pyramids, or cones, as long as you have at least 2 of each of the 5

required shapes.

Answer: i think c

Step-by-step explanation:

If x and y be  i.i.d. unif(0, 1), then the covariance of x + y and x - y is zero.

Yes, x y are x y independent studysoup.

Here  x and y be i.i.d. unif(0, 1)

The i.i.d stands for independent and identically distributed

unif means that the uniformly distributed

Here x and y are i.i.d unif (0,1)

The covariance is defined as the relationship between the two random variables . Therefore, variance of one variable is equal to the change in another variable

Here we have to find the covariance of x + y and x - y

According to the properties of covariance

Cov(x+ y, x - y) = Cov (x, x) + Cov(y, x) - Cov(x, y) - Cov(y, y) = 0

Because Cov(x, x) = Cov (y, y)

Cov(y, x) = Cov(x, y)

Therefore, the covariance of x+y and x - y is 0.

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