Determine if 0.34375 is rational or irrational and give a reason for your answer.

Answer:

Sequence of arithmetic

Step-by-step explanation: An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Answer:3a ?

Step-by-step explanation:

Answer:

✈️?

Step-by-step explanation:

The total time that tammy sent in total playing games is; 4.5 hours

The parameters given for Tammy in playing the game are;

Number of games played = 12 games

Time spent per game = ³/₈ hours

Thus;

Total time she spent playing game will be gotten by multiplying the time per game by number of games played to get;

Total time spent = ³/₈ * 12

= 9/2

= 4.5 hours

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Complete question is;

A game lasts 3/8 hours. Tammy played 12 of these games. For how long did she play in total? Write your answer in simplest form.

The 95% confidence interval for the average apple weight is (119.14, 125.86).

An apple typically weighs 120 grams with a 12-gram standard deviation, according to one manufacturer. The average weight of an apple was 122. 5 grams, according to statistics created from a sample of 49 apples that were randomly chosen from a shipment.

Let, n = 49

x = 122.5 

σ = 12

To calculate and interpret a 95% confidence interval for the average apple weight, use the formula;

⇒ (x ± 1.96*σ/√n)

⇒ (122.5 ± 1.96*12/√49)

⇒ (119.14, 125.86)

Consequently, the average apple weight has a 95% confidence interval of (119.14, 125.86).

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Answer:

x = 60

y = 50

Explanation:

in a triangle, the sum of all its angles should be 180°. so, to find x, we can subtract the known values from 180° like this:

180° - 50° - 70° = 60°

thus, x is 60.

using the same method, we can find the remaining angle of the other triangle:

180° - 50° - 60° = 70°

now, we know the values of x and the angle next to it. on a straight line, the sum of angles also adds up to 180°. therefore:

180° - 60° - 70° = 50°

i hope this helps! :D

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The required choice is given as, " A scatter plot is best when the data are positively correlated."

Here,
A scatterplot is a graph that displays the correlation between two variables. They are a very effective type of chart because they enable viewers to see relationships or trends that would be nearly impossible to see in any other form right away.
A positive correlation is best suited for the scatter plot.

Thus, the required choice is given as, " A scatter plot is best when the data are positively correlated.

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The space matrix is a strategic management tool that helps organizations analyze their internal dimensions by plotting their financial strength and competitive advantage on the axes. This analysis enables decision-makers to determine appropriate growth strategies and allocate resources effectively.

The two internal dimensions represented on the axes of the space matrix are technology and market diversity. This is determined by plotting the company's position on each dimension using a scale of one to six, with one being low and six being high. The space matrix then combines these two dimensions with two external dimensions (industry attractiveness and business strength) to create a visual representation of the company's position in the market. In summary, the space matrix assesses a company's competitive position and strategic choices by evaluating these four dimensions in a three-by-three matrix.

Financial Strength (FS): This axis represents the organization's financial position, which can include factors like revenue, profitability, and access to capital. A strong financial position allows a company to invest in new projects and face competition effectively. Competitive Advantage (CA): This axis represents the unique capabilities, resources, or attributes that give an organization an edge over its competitors. These can include aspects like superior products, strong brand recognition, and efficient supply chain management. A sustainable competitive advantage enables a company to maintain or improve its market position.

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Answer:

16

Step-by-step explanation:

Hope this helps

Just evaluate the line in the values of the point and check if the equation is true or not.

So let's say line l has an equaiton known:

y = a*x +b

To check if a point is on the line, just replace the values of the point on the line equation, if the equation is true, then that point belongs to the line, if don't, then the point does not belong to the line.

That is the only way to check that.

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The height of the red section of the design is 4.2 feet.

Ratio is used to compare two or more numbers together. The first step is to determine the total height of the red section and the blue section.

Height of the blue and red section = total height - height of the white section

10.5 - 4.2 = 6.3 feet

Now determine the height of the red section.

Height of the red section = (ratio that represents the red section / sum of ratios) x height of the blue and red section

(2 / 3) x 6.3 = 4.2 feet

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a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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Answer:

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Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

Q and W are similar but not congruent.

Step-by-step explanation:

The error bound for the 95% confidence interval ≈ 0.800.

To construct a confidence interval for the true population mean, we can use the formula:

Confidence Interval = Sample Mean ± Margin of Error

The margin of error depends on the desired confidence level, the sample standard deviation, and the sample size.

In this case, the desired confidence level is 95%.

The margin of error can be calculated using the formula:

Margin of Error = Critical Value * (Sample Standard Deviation / √Sample Size)

Since the population is assumed to be normally distributed, we can use the Z-distribution and find the critical value associated with a 95% confidence level.

The critical value for a 95% confidence level corresponds to a Z-score of approximately 1.96.

We have:

Sample Mean (xbar) = 13.10

Sample Standard Deviation (s) = 1.55

Sample Size (n) = 15

Critical Value (Z) = 1.96

Calculating the margin of error:

Margin of Error = 1.96 * (1.55 / √15) ≈ 0.800

Therefore, error bound ≈ 0.800.

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Answer:

$22

Step-by-step explanation:

tax and the tip increase the price paid for the meal

she paid 15 + 10 = 25% more than the price of her meal

p = original price

1.15 x p = 27,50

p = 27.50 / 1.15 = 22

The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.

Substitute x = 0 into the function T(x):

T(0) = -19 + 39e^(-0.45*0).

Simplify the expression:

T(0) = -19 + 39e^0.

Since e^0 equals 1, the expression simplifies to:

T(0) = -19 + 39.

Calculate the sum:

T(0) = 20.

Therefore, the initial temperature of the soda is 20 degrees Celsius.

To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):

Substitute x = 20 into the function T(x):

T(20) = -19 + 39e^(-0.45*20).

Simplify the expression:

T(20) = -19 + 39e^(-9).

Use a calculator to evaluate the exponential term:

T(20) = -19 + 39 * 0.00012341.

Calculate the sum:

T(20) ≈ -19 + 0.00480599.

Round the answer to the nearest degree:

T(20) ≈ -19 + 1.

Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.

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INCOMPLETE QUESTION

A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.

Answer:

volume remaining ≈ 153 in³

Step-by-step explanation:

the volume remaining after the cylinder has been drilled is

volume of prism - volume of cylinder

volume of prism = lbh ( l is length, b is breadth, h is height )

                           = 5 × 7 × 5

                           = 175 in³

volume of cylinder = πr²h ( r is the radius and h the length of cylinder )

                               = π × 1² × 7

                               = 7π in³

volume remaining = 175 - 7π

                               = 175 - 21.99

                               = 153.01

                              ≈ 153 in³ ( to the nearest cubic inch )

Answer:

The answer is -285

Step-by-step explanation:

Answer: V = 28,600(0.909)^2

Step-by-step explanation: This is because the value of the car depreciates at a rate of 9.1% per year, which means that the value after the first year will be 0.909 times the original value, and the value after the second year will be 0.909 times the value after the first year. Therefore, we need to multiply the original value of the car by (0.909)^2 to find the value after 2 years.

Answer:

3.2 *10^-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\dfrac{9.6*10^{-8}}{3*10^{-7}}==\dfrac{9.6}{3}*10^{-8-[-7]}\\\\\\= 3.2*10^{-8+7}\\\\\\=3.2*10^{-1}\)

Answer:

33

Explanation:

replace y with 18 and solve.

18 = 2/3x - 4

add 4 to both sides and divide by 2/3

Answer:

(Choice B) B 10 ( h + 3 + 5 j ) 10(h+3+5j)10, left parenthesis, h, plus, 3, plus, 5, j, right parenthesis

(Choice C) C 2 ( 5 h + 15 + 25 j ) 2(5h+15+25j)2, left parenthesis, 5, h, plus, 15, plus, 25, j, right parenthesis

Step-by-step explanation:

10h+30+50j

There are two answers

First answer

Factorise using 10 as common factor

10h+30+50j

=10(h+3+5j)

(Choice B) B 10 ( h + 3 + 5 j ) 10(h+3+5j)10, left parenthesis, h, plus, 3, plus, 5, j, right parenthesis

Second answer

Factorise using 2 as the common factor

10h+30+50j

=2(5h+15+25j)

(Choice C) C 2 ( 5 h + 15 + 25 j ) 2(5h+15+25j)2, left parenthesis, 5, h, plus, 15, plus, 25, j, right parenthesis

Answer: Choice B and C

Step-by-step explanation:

The probability that the sample mean will be within 0.5 of the population mean is 1        

From the theorem of Central Limits, The distribution of the sample mean will be roughly normally distributed when we have a population mean μ and standard deviation.

Since the sample means are normally distributed, we can compute probability using Z scores.        

Here the formula for Z - score is given by  

                      Z = (x - μₓ) /s    

Here we have,  

x is a random variable,    

mean μ = 47, and standard deviation, σ = 8

A random sample of size, n = 36 is selected

As we know the sample means are normally distributed

Then, the mean of the distribution of the sample mean is given by,

μₓ = μ = 47    

And the standard deviation of the distribution of the sample mean is given by,  s = σ/√n  

s = \(\frac{8}{ \sqrt{36} } = \frac{8}{6} = 1.33\)  

Now Compute the probability that the sample mean will be within 0.5 of the population mean as given below:

P(|x - μₓ | \(\leq\) 0.5) = P( -0.5 < |x - μₓ | < 0.5)  

= P( -0.5/s  < |x - μₓ | /s  < 0.5/s )  

= P( -0.5/1.33  < Z < 0.5/1.33 )    

= P( -0.376 < Z < 0.376 )      

= P(Z < 0.376 ) - P (Z < - 0.376)              

= 1  - 0 = 1                                                              

Therefore,

The probability that the sample mean will be within 0.5 of the population mean is 1    

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Answer:

Option C i.e. 2 and 9, constants have a fixed value is a correct option.

Step-by-step explanation:

In algebra, a constant is basically a fixed value.

Sometimes, a constant is a number for a letter such as a, b, or c for a fixed number.

For example: in ''2x+7=3'', 7 and 3 are constants.

In our case:

Given the equation

\(3x+2=9\)

Therefore, 2 and 9 are constants, having a fixed value.

Thus, option C i.e. 2 and 9, constants have a fixed value is a correct option.

Answer:

y=3x²+24x+45

Step-by-step explanation:

y=3(x+3) (x+5)

y=(3x+9) (x+5)

y=3x²+15x+9x+45

y=3x²+24x+45

The probability that 3 individuals have conditions caused by outside factors is 0.1496

The proportion of heart failures due to outside factors, p = 11% = 0.11

Sample size, n = 15

The formula for binomial distribution is:

                    P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ

Here, x = Number of heart failures.

We are asked to determine the probability that 3 individuals have conditions caused by outside factors

So, here x = 3

                    P(3) = ¹⁵C₃ p³ (1 - p)¹⁵⁻³

                    P(3) = ¹⁵C₃ (0.11)³ (1 - 0.11)¹²

                    P(3) = ¹⁵C₃ (0.11)³ (0.89)¹²

                    P(3) = 455 (0.11)³ (0.89)¹²

                    P(3) = 0.1496

Hence, the probability that 3 individuals have conditions caused by outside factors is 0.1496

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a multiplicative factor in some term of

Answer:

Step-by-step explanation:

The number of boxes can't be negative or in fractions.

so the domain would be "All whole numbers from 0 to 10"

Answer:

A) All whole numbers from 0 to 10.

Step-by-step explanation:

The domain of a function is given by the available values of the independent variable.

In this case you have that the independent variable is the number of boxes, and the available values of this variable are integers in between 0 and 10, by including 0 and 10.

Then, the domain of the functions composed by all positive integers number from 0 to 10 including 0 and 10.

A) All whole numbers from 0 to 10.