find the mean of the following numbers 7,21,2,17,3,13,7,4,9

The amount of water poured out by Newton from the filled 2 liter breaker is 975 milliliters of water.

One liter is equal to 1,000 milliliters.

Therefore, a 2-liter beaker has 2,000 milliliters of water when it is full.

After pouring out some water, the beaker now has 1,025 milliliters of water left.

To find how many milliliters of water Newton poured out, we need to subtract 1,025 from 2,000:

So, we have

Amount = 2,000 - 1,025

Amount = 975

Therefore, Newton poured out 975 milliliters of water.

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Answer: 75°

Step-by-step explanation:

ALL TRIANGLE ANGLES MUST ADD UP TO 180°

Take 50°+55°=105°

Now take 180°-105°

75°

Answer:

75 degrees

Step-by-step explanation:

a Triangle is 180 degrees all together, so you add 50+55=105

you subtract 180-105=75 degrees

The intercepts of the graph are:

x-axis interception: \(\left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right)\).

y-axis interception: \(\left(0,\:-9\right)\).

See the graph of the function \(f(x)=x^3+x^2-9x-9\)  in the attached image.

For constructing a graph we have the following steps:

For this exercise, for example, we can define a range -4<x<4.  In others words, the values of x will be in this interval.

Replace these x-values in the given equation. For example:

When x=-4, we will have: \(\left(-4\right)^3+\left(-4\right)^2-9\left(-4\right)-9=-21\).  Do this for the all x-values of your ranges.

See the results for this step in the attached table.

Mark the points x and y that you found in the last step. After that, connect the dots to draw the graph.

The attached image shows the graph for the given function.

The intercepts are points that crosses the axes of your plot. From your graph is possible to see:

x-axis interception points (y=f(x)=0)  are: \(\left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right)\).

y-axis interception point (x=0) is: \(\left(0,\:-9\right)\).

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Answer:

B) y - 2 = (-1/4)(x - 2)

Step-by-step explanation:

Start with the equation of the given line: y = 4x + 7.

Determine the slope of the given line, which is 4.

Since the perpendicular line has a negative reciprocal slope, the perpendicular line's slope is -1/4.

Use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.

Substitute the values x₁ = 2 and y₁ = 2 into the point-slope equation: y - 2 = (-1/4)(x - 2).

Simplify by distributing -1/4 to (x - 2): y - 2 = (-1/4)x + 1/2.

Add 2 to both sides to isolate y: y = (-1/4)x + 1/2 + 2.

Simplify further: y = (-1/4)x + 5/2.

The equation in point-slope form for the line passing through (2, 2) and perpendicular to y = 4x + 7 is y - 2 = (-1/4)(x - 2), which matches option B.

Each package has 18 granola bars.

This problem can be solved through a system of linear equations.

Let "x" be the total number of granola bars that each pack of granola has. Let "y" be the total amount of granola bars that each cafeteria has.

For cafeteria A: \(7x+12=y\)

For cafeteria B: \(3x+84=y\)

Since both equations are solved for y, we may take the argument at the left of the equal sign from both equations and equal them.

\(7x+12=3x+84\).

\(7x+12=3x+84\)

\(7x-3x=84-12\) --> Substract 3x and 12 from both sides.

\(4x=72\) --> Simplify by solving the substraction.

\(\frac{4x}{4} =\frac{72}{4}\)--> Divide both sides by 4.

\(x= 18\)

\(y=7(18)+12\\ \\y=138.\)

If a system of linear equations was created, where 2 equations that gave the number of granola bars that each cafeteria has, then the x value obtained when the system was solved, indicates the amount of granola bars that each cafeteria has in each package. Each package has 18 granola bars.

Answers

Hope you could understand.

If you have any query, feel free to ask.

In using quarterly time series data, Quarter two  can serve as the base period for interpretation of dummy variables.

What do you mean by interpretation?

The process of interpreting anything involves elaborating, rephrasing, or otherwise demonstrating your own understanding of it.

                           Because they are explaining what someone is saying to someone who doesn't understand, a person who translates one language into another is known as an interpreter.

What are examples and variables?

A trait that is measurable and capable of taking on several values is known as a variable. A few examples of variables are height, age, income, province of birth, school grades, and kind of dwelling.

                                 The two primary categories of variables are categorical and numeric.

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Answer:

A linear model is an equation that describes a relationship between two quantities that show a constant rate of change.

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Answer: A linear model is an equation that represents a relationship between two quantities at a constant rate of change.

A linear line can be represented by the equation: y=mx+b. This is also known as the linear equation.

Answer

a) chart

Step-by-step explanation:

a) chart best represents the following information about student results from a class assignment

i thing the answer is D the last chart

Answer:

n mathematics, the range of a function may refer to either of two closely related concepts: The codomain of the function The image of the function Given two sets X and Y, a binary relation f between X and Y is a function if for every x in X there is exactly one y in Y such that f relates x to y

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

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we have that

the mean would increase

Verify the median

we have

0 0 1 0 0 2 0 1 1 0 0 0 0 3 0 0 2

originally the median is

0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3

the median is 0

the new set of the data

0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 20

the median is 0

answer is

9514 1404 393

Answer:

  A)  x is less than 4 AND x is less than 1

Step-by-step explanation:

It's all about understanding the meaning of the English words involved.

A) any member of the solution set must be less than 1 and less than 4. Only numbers less than 1 can satisfy both requirements. (This is the correct choice.)

__

B) members of the solution set may be less than 1 or may be greater than 3. Numbers less than 1 are part of the solution set, but not all of it.

__

C) members of the solution set are required to be both greater than 3 and less than 1. There are no such numbers. The solution set is the empty set.

__

D) members of the solution set may be less than 4 or less than 1. Any number less than 4 will be a member of the solution set.

Answer: Z=-5

Step-by-step explanation:

we want to group Z on only one side of the equation

-18=Z-3+2Z

-18-Z-2Z=-3 (subtract Z and 2Z from both sides, to remove Z from one side and to move it to the other side)

-3Z=-3+18 (regroup Z and add 18 on both sides, to have Z on only one side)

-3Z=15 (add -3+18)

3Z=-15 (multiply both sides by -1 to get a positive Z)

Z=-5 (divide both sides by 3)

Hi there u have not given us the figure please correct the answer and I will send my answer.Is it a cylinder cuboid cube or?

The average change as a simplified mixed number would be,

⇒ 1 3/4

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.

Now, The average change as a simplified mixed number would be,

⇒ (12 1/4) / 7

⇒ (49/4) / 7

⇒ (49 / 4×7)

⇒ 7/4

⇒ 1 3/4

Therefore, The average change is,

⇒ 1 3/4

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Answer:

6 People Do now own a cat or dog.

Step-by-step explanation:

Subtracting all numbers will be a negative.

Given equation:

142 - 81 - 55

142 - 81 = 61.

61 - 55 = 6.

Your answer is 6.

Answer:

cup B can hold 21.2  cubic in more than cup A when theyre both full, so the answer is cup B.

Step-by-step explanation:

Answer:14

Step-by-step explanation:0.35 times 14 equals 4.9

Where the above ratio are given, the length of the side of the smaller square is approximately 14.7 feet.

The area of a square is calculated by squaring the length of its side. Given that the area of the larger square is 324 square feet, we have:

(3/2)x² = 324

To solve for x, we can rearrange the equation and take the square root of both sides  -

x² = (324 * 2) / 3

x² = 216

x ≈ √216

x ≈ 14.7

Hence , the length of the side of the smaller square is approximately 14.7 feet.

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Answer:

t=6

Step-by-step explanation:

your welcome :)

Answer:

I believe that the answer is 6  

Step-by-step explanation:

Because I got it right

Answer:

Height is 40√2 m or 56.57 m

Explanation:

Use Pythagoras theorem: a² + b² = c²

where 'a' and 'b' are the legs and 'c' is the hypotenuse

Here given:

Substitute values:

(20)² + (h)² = 60²

400 + h² = 3600

h² = 3600 - 400

h² = 3200

h = √3200

h = 40√2

h = 56.6 meter

Answer:

A.) Yes, because 0.064 is less than 0.4

Step-by-step explanation:

The equation \(0.4^3 = 0.064\) is a counterexample to the given conjecture because 0.064 is less than 0.4. This shows that the cube of a number is not always greater than the number.

In general, the cube of a number is the result of multiplying the number by itself three times. For example, the cube of 2 is \(2 * 2 * 2 = 8\), and the cube of 5 is \(5 * 5 * 5 = 125\). The cube of a number is always greater than the number when the number is positive, because a positive number multiplied by itself three times is always a larger number. However, when the number is negative or a decimal, this is not always the case.

In the given equation, 0.4 is a decimal number, and \(0.4^3\) is the cube of 0.4. The result of this calculation is 0.064, which is less than 0.4. This means that the cube of 0.4 is not greater than 0.4, and therefore the given conjecture is false.

Answer

The exact value of the lateral surface area = 395 cm²

The exact value of the total surface area = 572 cm²

Explanation

The solid shape is a cone with a height of 15 cm and the diameter of the base of the solid shape is 15 cm.

The Lateral Surface Area of the Solid Shape:

The formula to calculate the lateral surface area (LSA) of a cone is given by:

The radius will be = diameter/2 = 15cm/2 = 7.5 cm

To find legth, we use Pythagoras rule:

Put π = 3.14, r = 7.5 cm, and l = 16.77 cm into the lateral surface area formula:

Therefore, The exact value of the lateral surface area = 395 cm²

Total Surface Area of the Solid Shape:

To find the exact value for the total surface area of the solid shape, we use the total surface area (TSA) formula of a cone which is:

put π = 3.14, r = 7.5 cm, and l = 16.77 cm

The exact value of the total surface area = 572 cm²

9514 1404 393

Answer:

  (3)  12

Step-by-step explanation:

Let x represent the length of leg XY. Then the length of YZ is x/2 and the area  of the right triangle is ...

  A = 1/2bh

  A = 1/2(x)(x/2) = x²/4

  36 = x²/4 . . . . . use the given value for area

  144 = x² . . . . . . multiply by 4

  √144 = 12 = x . . . . . take the square root

The length of leg XY is 12 cm.

The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

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According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

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Using the normal distribution, it is found that the z-scores are:

a) z = -1.5

b) z = 1.9

c) z = 0

In normal distribution with mean 'μ' and the standard deviation 'σ', the z-score of a measure X is given by:

z = x-μ/σ

It measures how many standard deviations the measure is from the mean, either above the mean(positive z-score), or below(negative z-score).

For first blank: 1.5 standard deviations below the mean, hence z = -1.5.

For second blank: 1.9 standard deviations below the mean, hence z = 1.9.

For third blank: The mean is 0 standard deviations from itself, hence z = 0.

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