When Savannah's parents are away celebrating their anniversary, she gets to sleepover for a week at her grandparents' house. Afterwards, Savannah decides to make her grandparents a photo album of their time together. There are 9 pages in the album. Savannah puts the same number of photos on each page, for a total of 63 photos.

Answer:

- 2

Step-by-step explanation:

The output of a function is a value of f(x) for a given value for x. From the table, only - 2 matches a value of f(x) and so this is the output.

All the others are values for x so they are inputs to the function

The function is a continuous random variable. The correct option is B.

Continuous random variables are those that have a large number of uncountable possible values. There are countless possible values. In this illustration, there is no limit to the range of possible values for the height of a giraffe in meters, such as 10.5m, 15.22m, 12.0m, etc. There are countless options.

Discrete Variables that have a finite number of possible outcomes are known as random variables. When a dice is rolled, for example, the outcomes could be 1, 2, 3, 4, 5, or 6. There are only six possible values, with nothing in between.

Therefore, the function is a continuous random variable. The correct option is B.

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Based on the context, the range of this function is given by: C. [−7, 7]

A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.

The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of function f(x) shown, we can infer and logically deduce the following:

Range = [−7, 7]

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A linear recurrence relation is a function or sequence in which each term is a linear combination of the terms that came before it.

The recurrence relation exists [tex]$T(n)=\Theta\left(3^n\right)$[/tex].

Recurrence relations are used to simplify complex problems by reducing them to an iterative process based on simpler versions of the problem.

Using the substitution method, we find out that

[tex]T(n) &=n+3 T(n-1) \\[/tex]

[tex]&=n+3(n-1)+3^2 T(n-2) \\[/tex]

[tex]&=n+3(n-1)+3^2(n-2)+3^3 T(n-3) \\[/tex]

[tex]&=\cdots \\[/tex]

[tex]&=n+3(n-1)+3^2(n-2)+\cdots+3^{n-1}(n-(n-1))+3^n T(0) \\[/tex]

simplifying the above equation, we get

[tex]$&=\frac{3^{n+1}-2 n-3}{4}+3^n T(0) \\[/tex]

[tex]&=\Theta\left(3^n\right)[/tex]

Even without doing the full calculation it is not hard to check that [tex]$T(n) \geq 3^{n-1}+3^n T(0)$[/tex], and so [tex]$T(n)=\Omega\left(3^n\right)$[/tex].

A cheap way to obtain the corresponding upper bound is by considering

[tex]$S(n)=T(n) / 3^n$[/tex], which satisfies the recurrence relation  

[tex]$S(n)=S(n-1)+n / 3^n$[/tex].

Repeated substitution then gives

[tex]$\frac{T(n)}{3^n}=\sum_{m=1}^n \frac{m}{3^m}+T(0)[/tex]

Since the infinite series [tex]$\sum_{m=1}^{\infty} \frac{m}{3^m}$[/tex] converges, this implies that [tex]$\frac{T(n)}{3^n}=\Theta(1)$[/tex] and so [tex]$T(n)=\Theta\left(3^n\right)$[/tex]

Therefore, the recurrence relation exists [tex]$T(n)=\Theta\left(3^n\right)$[/tex].

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Answer:986

Explanation? Calculator;)

Answer: 986

Step-by-step explanation? It’s easier to use a calculator.

Answer:

0.5

Step-by-step explanation:

12/24 = 0.5

6/12 = 0.5

3/6 = 0.5

1.5/3 = 0.5

Answer: 0.5

Answer:

In linear algebra, an augmented matrix is a matrix obtained by appending the columns of two given matrices, usually for the purpose of performing the same elementary row operations on each of the given matrices.

Step-by-step explanation:

Using the function concept, we have that:

A relation represents a function when each value of the input is mapped to only one value of the output.

For the relations that are not functions, we have that:

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Testing for within × within and between × within moderation using random intercept cross-lagged panel models "allow measurement decomposition into between- & within components and have thus are becoming famous for testing developmental hypotheses."

Cross lagged panel design is a form of structural equation model in which data is gathered at a number of points in time. It is primarily used to assess causal relationships (which may be bi-directional) in a non-experimental setting, where variables are not controlled but simply recorded.

According to cross-lagged panel design analysis:

If we understand that X and Y are correlated but with us data shows no conclusive correlation (neither rX1Y2 or rX2Y1 are significantly different from zero), it is possible that our time lag was just too short (or too long) to enable causal influences to operate, and we need to redesign our experiment.

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Answer:

y=231/10

Step-by-step explanation:

First you want to add 2/5 to 15.

Now you will have 2/3y=77/5

Now you want to mulitply both sides 3/2

3/2*2y/3=3/2*77/5

Then you will get y=231/10.

The solution to the expression is x= 18

15 over x=2 equals 3 over 4 can be written as follows

15/x+2 = 3/4

Cross multiply both sides

15×4= 3(x+2)

60= 3x +6

collect the like terms

3x= 60-6

3x= 54

divide both sides by the coefficient of x which is 3

3x/3 = 54/3

x= 18

Hence the value of x in the expression is 18

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Answer:

x = 3.2 and No solution.

Step-by-step explanation:

5x - 4 = 12

5x = 12 + 4

5x = 16 (divide both sides by 5 to get x)

5x/5 = 16/5

x = 3.2

–––––––––––––––––––––––––––––

5x-3≥12 AND 12x+5≤-4. Solve it separately.

5x - 4>=12. add 4 on both sides. 5x>=16.

The function shows that the cost of hotdogs is 1.75 and the cost of hamburger is 1.5.

Let hotdogs = h

Let hamburger = x

The expression will be:

h + x = 3.25

h + 7x = 12.25

Subtract the functions

6x = 9

x = 1.5

Therefore, hot dogs will be:

= 3.25 - 1.5

= 1.75

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At a concession stand, one hot dog and one hamburger cost $3.25; one hot dog and seven hamburger cost $12.25. Find the cost of one hotdog and the cost of one hamburger.

1 2/5 and 2 2/5 are  two mixed numbers added together equals 3 4/5.

What is a mixed fraction?

What is a mixed number improper fraction?

A mixed fraction is one that has both a correct fraction and a whole number portion, and whose value is consistently greater than 1.

= 1 2/5 + 2 2/5

= 7/5 + 12/5

= 19/5

= 3 4/5

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The volumes of the cylinder are 565. 56 cubic inches and  1131. 12 cubic inches respectively.

The formula for volume of a cylinder is expressed as;

Volume = πr²h

Where;

Substitute the values

Volume = 3. 142 × 6² × 5

Volume = 3. 142 × 36 × 5

Volume = 565. 56 cubic inches

If the height is doubled, h = 2 × 5 = 10

Substitute the values

Volume = 3. 142 × 6² × 10

Volume = 3. 142 × 36 × 10

Volume = 1131. 12 cubic inches

Thus, the volumes of the cylinder are 565. 56 cubic inches and  1131. 12 cubic inches respectively.

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The simplified form of the expression is a⁻¹²/8b⁶

From the question, we are to simplify the given expression

The expression is

a raised to the negative fourth power over quantity 2 times b squared end quantity all cubed

That is,

(a⁻⁴/2 × b²)³

Simplifying the expression

(a⁻⁴/2 × b²)³

= a⁻⁴ˣ³/(2³ × b²ˣ³)

= a⁻¹²/(8 × b⁶)

= a⁻¹²/8b⁶

Hence, the simplified form of the expression is a⁻¹²/8b⁶

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Answer: Yes

Step-by-step explanation: can be written as 6 17/50

Answer: yes because its a terminating number

Answer: 7.49

Step-by-step explanation:

7 is above 5, so we round up from .48 to .49.

Answer:

a) 18

b)248

c) 58

Step-by-step explanation:

The formula is:

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n-1)d

[tex]a_{n}[/tex]  Is the number at the n term

[tex]a_{1}[/tex] Is the first number in the sequence

n Is the number for the term

d is the common difference.  How much is added each time in the sequence.  In this case, 2.5

Put in the numbers that you know and solve for the unknown.

A:

[tex]a_{8}[/tex] = 0.5 + (8 -1)(2.5)

[tex]a_{8}[/tex]  = 0.5 +(7)(2.5)

[tex]a_{8}[/tex] = 0.5 + 17.5

[tex]a_{8}[/tex] = 18

B:

We follow the same pattern, but we are now looking for [tex]a_{100}[/tex].

[tex]a_{100}[/tex] = 0.5 + (100-1)(2.5)

[tex]a_{100}[/tex] = 0.5 + 247.5

[tex]a_{100}[/tex] = 248

C:

This time we know the value of the number in the sequence, we do not know which term it is.

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d  Put in what we know

148 = 0.5 + (n -1)2.5  Distribute the 2.5

148 = 0.5 + 2.5n - 2.5  Combine like terms

148 = 3 + 2.5n  Subtract 3 from both sides of the equation

145 = 2.5n  Divide both sides by 2.5

58 = n

The expression of 15km as a percentage of 120km as required in the task content is; 12.5%

Since it follows from convention that a percentage is a representation of an entity as a fraction of a hundred partitions.

On this note, the percentage representation is such that;

15km of 120km is;

(15/120) × 100%

0.125 × 100%

= 12.5%.

Ultimately, 15km is 12.5% of 120km.

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Mean > median, the distribution is skewed to the right.

So,

Therefore, mean > median, the distribution is skewed to the right.

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The correct question is given below:
A survey was conducted from a random sample of 8225 Americans, and one variable that was recorded for each participant was their answer to the question, "How old are you?" The mean of this data was found to be 42, while the median was 37. What does this tell you about the shape of this distribution?

We get the surface area as 202 inches² and volume as 168 inches³.

The surface area of a cuboid is given by:

Surface area = 2xy + 2xz + 2yz

Here length = x = 7 inches

Breadth = y = 3 inches

Height = z = 8 inches.

Substituting the values in the formula, we get that:

Surface area = A = 2(7)(3) + 2(7)(8) + 2(3)(8) inches²

A = 42 + 112 + 48 inches²

A = 42 + 160 inches²

A = 202 inches²

Volume of a cuboid is given by :

Volume = xyz

Substituting the values, we get that:

Volume = (7) (3) (8) inches³

Volume = 21 × 8 inches³

Volume = 168 inches³.

Therefore, we get the surface area as 202 inches² and volume as 168 inches³.

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Answer:

s=2,−10

Step-by-step explanation:

Find all solutions for s by breaking the absolute value into the positive and negative components.

There are 36 males and 45 females in the sales field.

Ratio of the number:

Ratios compare two numbers, usually by dividing them.

For example,

If you are comparing one data point (A) to another data point (B), your formula would be

=> A/B.

This means you are dividing information A by information B.

Given.

Suppose that the ratio of males to females in the sales field of a large company is 4:5.

Total number of representatives = 81.

Now, we need to find the number of males and number of females.

Let x be the number of representatives.

So, based on the ratio we have written this as,

=> 4x : 5x = 81

So, the total number of representatives is,

=> 4x + 5x = 81

=> 9x = 81

=> x = 81/9

=> x = 9

So, the number of males is

=> 4x => 4(9) = 36

And the number of females is,

=> 5x => 5(9) = 45

Therefore, there are 36 males and 45 females in the sales field.

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Answer:

Rika

Step-by-step explanation:

The side opposite the 30° angle is longer than the side opposite the 60° angle.

Answer:

Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.

Step-by-step explanation:

Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.

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Work Shown:

[tex]A = (x_1,y_1) = (-2,4) \text{ and } B = (x_2, y_2) = (1,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-1)^2 + (4-0)^2}\\\\d = \sqrt{(-3)^2 + (4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]

I used the distance formula.

A slight alternative is to plot the points to form a right triangle. The hypotenuse is the segment from A to B. Then use the pythagorean theorem to find the hypotenuse. Take note how a 3-4-5 right triangle forms.