The value of a boat, in dollars, x years after its purchase is represented by the function. F(x)=10,000(0. 73)x What is the average decrease in value per year between years 1 and 2? Enter your answer in the box.

The attached graph describes the relationship between the amount of money raised and the number of students who attend the dance

The parameters that will help us to determine the graph are

Decorations for the dance cost $80,

The club is charging $10 per student that attends

This forms a linear equation:

y = mx + b

y = 10x - 80

Plotting the graph:

That is the full solution of the equation

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Answer:

x = 3

y = 0

Step-by-step explanation:

The method of substitution is when one solves an equation for one of the variables, and then substitutes the expression into the other equation. After doing so, one will solve the other equation for the remaining variable and then backsolve for the first variable.

4x + 2y = 12

x = y + 3

The second equation is already sovled for parameter (x), subttiute this into the other equation,

4(y + 3) + 2y = 12

Distribute,

4y + 12 + 2y = 12

Simplify,

6y + 12 = 12

Inverse operations,

6y + 12 = 12

-12

6y = 0

/6

y = 0

Backsolve for (x), substitute the value of (y) into the equation for (x) and solve,

x = y + 3

x = 0 + 3

x = 3

Answer: look at the picture, sorry I can’t solve x = y + 3 for x.

Step-by-step explanation: Hope this help :D

Answer:

Step-by-step explanation:

m<30

Answer:

1.4 centermeters

Step-by-step explanation:

if 2 centermeters is equal to 10 meters then divide 2 into 10 and come out to .5 so answer to 18 centermeters is 1.4

There is not sufficient evidence at the 0.10 level to support the marketing executive's claim that the percentage of readers owning a laptop is different from the reported percentage of 54T%.

To test whether the sample proportion of 50P% is significantly different from the reported proportion of 54T%, we can use a one-sample z-test.

The null hypothesis is that the true proportion is equal to 54T%, and the alternative hypothesis is that the true proportion is different from 54T%.

The test statistic is calculated as:

z = (p - p₀) / √(p₀(1-p₀)/n)

where p is the sample proportion, p₀ is the hypothesized proportion, and n is the sample size.

Plugging in the values, we get:

z = (0.50 - 0.54) / √(0.54(1-0.54)/110) ≈ -1.38

The critical value for a two-tailed test at the 0.10 level with a sample size of 110 is ±1.645. Since the calculated test statistic (-1.38) does not exceed the critical value (-1.645), we fail to reject the null hypothesis.

Therefore, there is not sufficient evidence at the 0.10 level to support the marketing executive's claim that the percentage of readers owning a laptop is different from the reported percentage of 54T%.

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Answer:

V = 90π in³ or 282.7 in³

Step-by-step explanation:

The formula for the volume of a cylinder is V = hπr²

Since we are given height(h) and the radius(r), we simply plug these in and solve for the volume(V).

V = (10)π(3²)

V = (10)π(9)

V = 90π in³ or 282.7 in³

According to the statement, the new flavour received 3 votes for every vote received by the original flavour. Denoting:

• x = # of votes of the original flavour,

• n = # of votes of the new flavour.

We can write the following equation for the number of votes:

Now, according to the statement, the number of votes of the new flavour is n = 723, replacing this number in the equation above and solving for x, we get:

Answer

The original flavour received 241 votes.

Answer:

false 15 is a positive number

Answer:

I really don't know , I am in 7th grade

Answer:

x = 121°

Step-by-step explanation:

The lower left vertex and 115 are adjacent and supplementary, thus

left vertex = 180° - 115° = 65°

The angle round a point = 360°, so the top vertex is

360° - 304° = 56°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 65° + 56° = 121°

the cheaper price for 12 orchids will be £8.60 for 4 orchids.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

4 orchids is pounds £8.60.

12 orchids are 8.6*3 = £25.8

Sor for 12 orchid: Orchid: 5.40 x 12 1 x £5.40x12 3

(648-21.6) = 43.2

So, the cheaper price for 12 orchids will be £8.60 for 4 orchids.

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Answer:

The answer is 1.35 answer (1). You can graph both equations to give you the answer.

Step-by-step explanation:

Graph the equations and see where they intersect.

The positive x coordinate is given as √13/2 - 1.

The equation for a circle having the centre located at a point (a, b) and the radius r can be written as (x - a)² + (y - b)² = r².

Given that,

The equation for the line is y = x + 2

And, the equation of the circle is x² + y² = 13.

In order to find the point of intersection substitute the equation of line into that of circle as below,

x² + y² = 13

=> x² + (x + 2)² = 13

=> x² + x² + 4x + 4 = 13

=> 2x² + 4x - 9 = 0

Use quadratic formula to solve the above equation as,

x = (-4 ± √(4² - 4 × 1 × -9))/(2 × 2)

  = -1 ± √13/2

Thus, the positive x coordinate is given as √13/2 - 1.

Hence, the positive x-coordinate of the point of intersection of the circle and line is given as √13/2 - 1.

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The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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(A) A normal distribution centered at 1/3 with a standard deviation of about 0.0351.

Normal Distribution:

The normal distribution, also known as the Gaussian distribution, is a probability distribution symmetrical about the mean, indicating that data near the mean occurs more frequently than data far from the mean. The normal distribution model is important in statistics and is the key to the central limit theorem (CLT). The theory states that means computed from independent, identically distributed random variables have an approximately normal distribution, regardless of the type of distribution from which the variable is sampled (provided it has finite variance). Mean (average value), median (center), and mode (most frequent observation) are all equal. Moreover, these values ​​all represent the peak or highest point of the distribution.

Standard Deviation:

The standard deviation (or σ) is a measure of the distribution of data from the mean. A low standard deviation means the data is clustered around the mean, and a high standard deviation means the data is more scattered. A standard deviation close to zero indicates that the data points are close to the mean, while a high or low standard deviation indicates that the data points are above or below the mean, respectively.  The top curve is more spread out and therefore has a higher standard deviation, while the bottom curve is more concentrated around the mean and therefore has a lower standard deviation.

Complete Question:

A successful waffle-man has recently developed a new recipe for waffles. To test the popularity of this new waffle compared to two other tried-and-true types of waffles, our friend the waffle-man randomly selected 180 lucky customers to vote on which of the three waffle types they liked best. Exactly 35% of these customers (or 63 in total) voted in favor of the new waffle. If all waffles were equally tasty, then the waffle-man knows to expect that each waffle would receive around 1/3 of the votes (so around 60 votes per waffle).

Are 63 votes for the new waffle enough to conclude that significantly more customers like it compared to the others? Luckily, our friend the waffle-man triple-majored in waffles, statistics, and clinical neurophysiology and knows how to objectively answer this question. He conducts a hypothesis test for proportions,

H0:p=1/3 H0:p=1/3, Ha :p>1/3 Ha: p>1/3

with a sample proportion of 63/180.

In carrying out this test, what null distribution for p^p^ should he use? In other words, what is the distribution of the sample statistic assuming the null hypothesis is true? (Be sure to use at least four decimal places in your calculations.)

Select one:

a)A normal distribution centered at 1/3 with a standard deviation of about 0.0351

b)A normal distribution centered at 1/3 with standard deviation of about 0.0356

c)A normal distribution centered at 0.35 with standard deviation of about 0.0356.

d)A normal distribution centered at 0.35 with standard deviation of about 0.0351.

e)We cannot use a null distribution in this problem because the population is not normally distributed.

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Answer:

40

Step-by-step explanation:

The amount of students who don't take either class is 8% * 200 = 0.08 * 200 =  16 which means that the sum of students who take the classes is 200 - 16 = 184. Let's call the amount of French students x. Therefore the amount of students who take History is 4x and the amount of students who take both is 10% * 4x = 0.4x. To find x we can write:

(x + 4x) - 0.4x = 184

4.6x = 184

x = 40 so the answer is 40.

To achieve a reduced interval width, the sample size should be increased, and the confidence level should be increased. Hence, option C is the correct choice.

For the first question regarding the 95% confidence interval for the mean commute time, the correct option would be D) meaningful because the sample size exceeds 30 and the Central Limit Theorem ensures normality of the sampling distribution of the sample mean.

For the second question regarding reducing the width of a 90% confidence interval for the average salary of CEOs in the electronics industry, the correct option would be C) Increase the sample size and increase the confidence level.

In the first scenario, with a sample size of 200, the Central Limit Theorem can be applied, and the sampling distribution of the sample mean is expected to be approximately normal. Thus, a 95% confidence interval for the mean commute time can be meaningfully calculated.

In the second scenario, to reduce the width of a confidence interval, we need to decrease the margin of error. The margin of error is influenced by the sample size and the confidence level. Increasing the sample size will generally lead to a narrower interval as it reduces the variability of the estimate. Additionally, increasing the confidence level (e.g., from 90% to 95%) will widen the interval as it requires a larger range of plausible values.

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the complete question is:

The registrar's office at State University would like to determine a 95% confidence interval for the mean commute time of its students. A member of the staff randomly chooses a parking lot and surveys the first 200 students who park in the chosen lot on a given day. The confidence interval is A) not meaningful because of the lack of random sampling. B) meaningful because the sample is representative of the population. C) not meaningful because the sampling distribution of the sample mean is not normal D) meaningful because the sample size exceeds 30 and the Central Limit Theorem ensures normality of the sampling distribution of the sample mean A 90% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was ($100, 951, $115, 349). To make more useful inferences from the data, it is desired to reduce the width of the confidence interval. Which of the following will result in a reduced interval width? A) Decrease the sample size and decrease the confidence level B) Decrease the sample size and increase the confidence level C) Increase the sample size and increase the confidence level D) Increase the sample size and decrease the confidence level.

Answer:

a. 105 and 115 employees

b. 185 employees

c. 20 years

Step-by-step explanation:

The total of employees at any given year is y

x is the number of year

then y = 85 + 10x

a. 2nd year: y = 85 + 10(2) = 85 + 20 = 105

  3rd year: y = 85 + 10(3) = 85 + 30 = 115

b. 10th year: y = 85 + 10(10) = 85 + 100 = 185

c: if y = 285

285 = 85 + 10x

10x = 285 - 85

10x = 200

x = 20

Answer:

16

Step-by-step explanation:

Answer:

q - 8

Step-by-step explanation:

q - 8

Answer:

q=0

Step-by-step explanation:

The area of the flower bed in square yards is 28 Square yards.

The area of the rectangular flower bed in square yards, we need to convert the measurements from feet to yards. There are 3 feet in 1 yard, so:

Length in yards = 21 feet / 3 = 7 yards

Width in yards = 12 feet / 3 = 4 yards

Now we can calculate the area in square yards:

Area = Length × Width

Area = 7 yards × 4 yards

Area = 28 square yards

Therefore, the area of the flower bed in square yards is 28 square yards.

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Answer:

x=50

Step-by-step explanation:

67=x+17

67-17=50

x=50

Answer:

can be written as this in interval notation

\(( - 4 . \infty ) \)

Step-by-step explanation:

since x is greater than -4 it is always going to be positive infinity on the right with -4 on the left.

if it is less than -4 then it is always going to be negative infinity on the left with -4 on the right

You can write the interval notation for the given set as:
(-4, ∞)

To write the set {x | x > -4} in interval notation, follow these steps:

1. Identify the lower limit of the interval: In this case, the lower limit is -4.
2. Identify the upper limit of the interval: Since x > -4, there is no upper limit, so we'll use infinity (∞) as the upper limit.
3. Determine whether the lower and upper limits are included in the set: In this case, x is strictly greater than -4, so -4 is not included. Therefore, we use the parenthesis "(" for the lower limit.

Interval notation is a way to describe continuous sets of real numbers by the numbers that bound them. Intervals, when written, look somewhat like ordered pairs. However, they are not meant to denote a specific point. Rather, they are meant to be a shorthand way to write an inequality or system of inequalities.

Now, you can write the interval notation for the given set as:

(-4, ∞)

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it is not a universal rule that the sum of two repeating decimals will always be a repeating decimal. There are instances where their sum can result in a terminating decimal or an integer, as demonstrated in the examples above.

It is not always true that the sum of two repeating decimals must be a repeating decimal.

There are cases where their sum can result in a terminating decimal or even an integer.
Let me provide you with a step-by-step explanation:
Firstly, understand what a repeating decimal is. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point, such as 0.333... or 0.272727...
Now, let's consider two repeating decimals as examples: 0.333... and 0.666...
Add these two repeating decimals together:
  0.333...
+ 0.666...
---------
= 0.999...
Observe that the result, 0.999..., is also a repeating decimal. In fact, it is mathematically equal to the integer 1. This demonstrates that the sum of two repeating decimals can be an integer.
Let's consider another example: 0.333... and 0.467467...
Add these two repeating decimals together:
  0.333...
+ 0.467467...
------------
= 0.800467...
In this case, the sum of the two repeating decimals is a mixed decimal with a terminating part (0.800) and a repeating part (467).

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Answer:

\( 3 \: miles\)

Step-by-step explanation:

\(eric = \frac{9/2} miles \\ josh \: = \frac{9}{2} \times \frac{5}{6} = \frac{45}{12} = \frac{15}{4}miles \\ kerry = \frac{15}{4} \times \frac{4}{5} = \frac{60}{20} = 3 \: miles\)

Hope this helps

Can I have the brainliest please?

The Law of Large Numbers is a fundamental concept in probability theory and statistics stating the number of trials of a random event increases, the average of the outcomes approaches the expected value of the event. It's better to use 500 trials.

In other words, as we repeat an experiment a large number of times, the proportion of times that a certain outcome occurs will converge to its probability of occurrence. This is an important concept in statistical inference, as it helps to ensure that the results of a sample are representative of the population from which it was drawn.

Now, if you were using the relative frequency of an event to estimate the probability of the event, it would be better to use 500 trials rather than 100 trials. The reason is that the larger the number of trials, the more accurate the estimate of the probability is likely to be.

Using a larger sample size reduces the impact of random variation and provides a more precise estimate of the true probability. The Law of Large Numbers tells us that as the sample size increases, the relative frequency of the event should converge to the true probability, so a larger sample size will generally give a more reliable estimate

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Answer:

60ft²

Step-by-step explanation:

A=½l×w

=½×8×15

=60

Answer:

step 1: =4% of £500

=20

=20 × 5 years

= 100

= £500 + £100

=£600 ....therefore Rob will have £600 in his bank account after years.

The most widely used probability model for continuous numerical variables is the normal probability distribution.

Probability for the normal probability distribution make use of statistical tables where the normal probability distribution has zero mean and one standard deviation.

In this normal probability distribution method, the mean is represented as μ and the standard deviation is represented as σ.

These values from the normal probability distribution are converted to respective value for a standard normal distribution through mathematical formulas.

Thus, normal probability distribution method is the most widely used probability model for continuous numerical variables.

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The flow velocity measured as in/min at the meter is 5924.13 in/min

We know that the volume flow rate Q = Av where

Now, Q = 18 gal/min

Converting this to in³/min, we have

Q = 18 gal/min = 18 × 1 gal/min = 18 × 231 in³/min = 4158 in³/min

A = πd²/4 where d = diameter of pipe = 1.0 in.

Since Q = Av, making v subject of the formula, we have

v = Q/A

v = 4Q/πd²

Substituting the values of the variables into the equation, we have

v = 4Q/πd²

v = 4 × 4158 in³/min ÷ π × (1.0 in)²

v = 16632 in/min ÷ π

v = 5924.13 in/min

So, the flow velocity measured as in/min at the meter is 5924.13 in/min

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