Finding the Mean and Median 42,5,25,2,35

Answer:

4 x \(10^{8}\)

Step-by-step explanation:

Round the number to

400,000,000

4 x \(10^{8}\)

We moved the decimal 8 places.

Answer:

4 x 10^8 (four times ten to the power of eight) is the best approximation of the number 399,867,231 written in scientific notation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello,

\(f(g(x))=\dfrac{8}{x^2}+4\)

So if we take

\(f(x)=\dfrac{8}{x}+4 \ \ and \\\\g(x)=x^2\\ \\f(g(x))=\dfrac{8}{g(x)}+4=\dfrac{8}{x^2}+4\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

Let's start by breaking down the information given:

- Three-fourths of the yard is covered with grass.

- One-fourth of the yard is used as a garden.

- The sprinkler could only water 1/5 of the yard.

To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.

Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.

The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.

To find the portion of the grass that died, we subtract the watered portion from the total grass area:

Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.

Simplifying, we get:

Portion of grass that died = 3/5.

Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

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Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

The trigonometric function on the graph is:

f(x)= -cos(x)

So the correct option is B.

Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.

Notice that:

sin(0)= 0

cos(0) = 1

So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:

f(x) = -cos(x)

That is the graphed function.

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Answer:

a)  We get \(\mathbf{A+B=x^2-2x+1}\)

So, Is the result of A+B is a polynomial:Yes

b) We get \(\mathbf{A-B=6x^3-7x^2+2x-1}\)

So, Is the result of A-B is a polynomial:Yes

c)  We get \(\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}\)

So, Is the result of A.B is a polynomial:Yes

Step-by-step explanation:

We are giving the polynomial equations:

\(A= 3x^2(x-1)\\B=-3x^3+4x^2-2x+1\)

We need to find

a) A+B

\(A+B=3x^2(x-1)+(-3x^3+4x^2-2x+1)\\A+B=3x^3-3x^2-3x^3+4x^2-2x+1\\A+B=3x^3-3x^3-3x^2+4x^2-2x+1\\A+B=x^2-2x+1\\\)

So, we get \(\mathbf{A+B=x^2-2x+1}\)

So, Is the result of A+B is a polynomial:Yes

b) A-B

\(A-B=3x^2(x-1)-(-3x^3+4x^2-2x+1)\\A-B=3x^3-3x^2+3x^3-4x^2+2x-1\\A-B=3x^3+3x^3-3x^2-4x^2+2x-1\\A-B=6x^3-7x^2+2x-1\\\)

So, we get \(\mathbf{A-B=6x^3-7x^2+2x-1}\)

So, Is the result of A-B is a polynomial:Yes

c) A . B

\(A.B=3x^3(-3x^3+4x^2-2x+1)-3x^2(-3x^3+4x^2-2x+1)\\A.B=9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2\\A.B=9x^6+12x^5+9x^5-6x^4-12x^4+3x^3+6x^3-3x^2\\A.B=9x^6+21x^5-18x^4+9x^3-3x^2\)

So, we get \(\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}\)

So, Is the result of A.B is a polynomial:Yes

Answer:

(5r-2)/3 = s

Step-by-step explanation:

-6= -15r+9s

Add 15r to each side

-6+15r= -15r+15r+9s

15r-6 = 9s

Divide each side by 9

(15r-6)/9 = 9s/9

(5r-2)/3 = s

Answer:A

Step-by-step explanation:

multiply -4 with each of variables inside bracket,

-4*b-(-4)*8=-4b+32

Problem 1

The variable "favorite style of sweatshirt" is a qualitative variable instead of a quantitative one. This is because the categories "hoodie", "pullover" and "zip-up" are not quantitative in nature. They are simply labels or names. Yes we can assign a frequency tally for each one, which is likely what she's doing, but that's a slightly different story from what your teacher is asking.

An example of a quantitative variable is "height". This variable can take on any positive numeric value, within realistic reason of course. Theoretically there are infinitely many possible height values if we allow as much precision as we want. Even in a more finitely restricted space, we still have a lot of values to work with. We don't consider each number a different label or category or class. It's just a number. So that's what makes "height" a quantitative variable.

Keep in mind that just because you have a number, doesn't mean it's automatically quantitative. A phone number or a basketball player jersey number are two examples of numbers that are labels. We cannot add up a bunch of phone numbers to get something meaningful. Ask yourself "can I do math operations on these numbers?". If the answer is "yes", then you have quantitative data. Be careful to ask this question for any kind of data you have. Going back to Dyani's data, the category names cannot have math operations applied to them, so that's more evidence we're not dealing with quantitative data.

In short, Dyani has qualitative data instead of quantitative data. Specifically, she has nominal data because each label can be thought of as a name. There is no order to each choice, which means the data is not ordinal.

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Problem 2

The answer to this question is found at the top, in the very first sentence. She wants to know what the most common car is. The population is the set of all student drivers at that school. Let's say there are 400 students who drive to school. That would mean the population would be those 400 people.

Because it's likely too time consuming to survey every member of the population, a sample is used instead to make the best estimate of what the population is. So this is what she's doing when she asks every 10th student to take part of the survey. This is known as systematic sampling because there's a pattern or rule to her choices. This form of sampling can be fairly unbiased assuming that she does this on various different days to get a good snapshot. If she only did it on one day, then it could be likely that some students skipped school or some were out sick. The more she samples, the better look she'll have at the population.

Answer:

2004

Step-by-step explanation:

The probability of picking the title that is letter j is 4/25 in fraction and in percent is 16%. we are more likely to pick a tile that is the letter from the first bag.

The probability of picking a letter tile that is the letter from the first bag is given as and from the second bag, it is 4/25.

To write the probability of picking a tile that is the letter j as a fraction and a percent, we can use the formula:

Probability = Number of desired outcomes / Total number of possible outcomes

For the second bag, the number of desired outcomes (the number of letter j tiles) is 4 and the total number of possible outcomes (the total number of tiles) is 25. Therefore, the probability of picking a tile that is the letter j from the second bag is:

Probability = 4 / 25

To write this as a percent, we can multiply by 100:

Probability = 4 / 25 * 100%

Probability = 16%

Comparing the probabilities, we can see that the probability of picking a letter tile that is the letter from the first bag is higher (since it is given as ) compared to the probability of picking a tile that is the letter j from the second bag, which is 16%.

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Answer:

x++3 is even equal sides

Step-by-step explanation:

Answer:

1.1     Factoring  x2-2x+5  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  +5  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 5 = 5  

Step-2 : Find two factors of  5  whose sum equals the coefficient of the middle term, which is   -2 .

     -5    +    -1    =    -6  

     -1    +    -5    =    -6  

     1    +    5    =    6  

     5    +    1    =    6  

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Y = 5

x = 4

Substitute

5 + 1 - 4

6 - 4

2

Answer:

Given that x = 4 and y = 5,

\(\sf 5 + 1 - 4\\(5 + 1) - 4\\5 + 1\\= 6\\= 6 - 4\\= 2\)

Therefore, the answer is 2.

Based on the given points on the graph, the equation for the line of best fit or the trend line is y = 1.874x + 3.656

Due to the fact that the points on the graph are not on a straight line, the least squares method can be used to find the line of best fit equation.

Using a linear regression calculator, you can find the equation of the trend line by inputting the values of y and x in the graph.

When run through a linear regression calculator, the result will be:

y = 1.874x + 3.656

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Answer: It is a reflection of Reflections of You (second location) in the x-axis.

Step-by-step explanation: Based on the given information, the relationship between the new location (The Gridiron) and the previous locations can be determined.

The correct answer is:

   It is a reflection of Reflections of You (second location) in the x-axis.

The coordinates of the first three checkpoints of The Gridiron (A''(0,−5), B''(9,−5), and C''(4,−5)) indicate that they have the same y-coordinate (-5) as the corresponding checkpoints in the second location, Reflections of You. However, there is no indication of a reflection in the y-axis or any transformation related to the first location, Transformation Fitness Studios. Therefore, the correct answer is that The Gridiron is a reflection of Reflections of You in the x-axis.

Answer:

2x+1=0.

2x=0-1.

2x=-1.

2x/2=-1/2.

x=-2.

3x+4=0

3x=0-4

3x=-4

3x/3=-4/3

\(x = 1 \frac{1 }{3} \)

Step-by-step explanation:

The situation described can be modeled using a linear equation, where the balance of the savings account increases by a fixed amount every month. Specifically, the equation that represents this situation is:

balance = $5000 + $825 * months

where "months" represents the number of months that have passed since the account was opened. The slope of this line is constant at $825, indicating that the balance is increasing by the same amount every month.

Therefore, the model for this situation is linear.

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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The way the numbers will be placed in the square box will be:

First row = 4 12 14

Second row = 2 10 18

Third row = 6 8 16

It should be noted that the question is simply about adding the numbers and getting 39 in each place.

This will be:

First row = 4 12 14 = 4 + 12 + 14 = 30

Second row = 2 10 18 = 2 + 10 + 18 = 30

Third row = 6 8 16 = 6 + 8 + 16 = 30

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Answer:

  growth rate = 0.1733 per day, or 17.33% per day

Step-by-step explanation:

Since the doubling time is 4 days, the growth factor over a period of t days is ...

  2^(t/4)

Then the growth factor for 1 day is

  2^(1/4) ≈ 1.189207

The instantaneous growth rate is the natural log of this:

  ln(1.189207) ≈ 0.1733 . . . per day

Answer:

80 square yards

Step-by-step explanation:

We know we have a width of 8 yards and a perimeter of 36.

how I figured it out was:

36=(8*2) * (x*2)

8*2=16

36-16=10

So now we know the length and width.

area of a rectangle is lw (length * width)

10*8=80.

Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's activities

9514 1404 393

Answer:

  D.  in quadrant III

Step-by-step explanation:

The signs of the coordinates tell you the point is located left of, and below, the origin (where the axes cross). That puts it in Quadrant III.

Hello there!

The point (-4, -5) is located in Quadrant III.

Points that look like (-x, -y) are located in Quadrant III.

Hope this helps!

~Just a cheerful gal

#CarryOnLearning

Answered by

\(-SilentNature-\)

Answer: -2

Step-by-step explanation:

Answer:

width = 2 ft

length = 8 ft

Step-by-step explanation:

area = L x W

area = 16 ft^2

width = x

length = 2x+4

width = 2 ft

length = 2(2)+4

length = 4+4

length = 8 ft

area = 8 x 2 = 16 ft^2

Answer:

2x^7

Step-by-step explanation:

add the exponents because they both are x

2x^4*x^3=2x^7