You rent an apartment that costs \$1100$1100 per month during the first year, but the rent is set to go up 9.5% per year. What would be the rent of the apartment during the 12th year of living in the apartment? Round to the nearest tenth (if necessary).

The correct explanation is (4). The spinner is likely fair, since in the output the player wins once or twice in the majority of the simulations.

The spinner is considered fair if the probability of winning each spin is 0.1, which means that the player should win about 1 out of every 10 spins. The output of the simulation shows that in the majority of the simulations, the player won once or twice, which is consistent with the expected probability of winning.

The fact that Miles lost all 10 times when he spun the spinner is just a matter of chance. It is possible to lose 10 times in a row even if the spinner is fair. In fact, the probability of losing 10 times in a row is about 0.1%, which is not very likely, but it is still possible.

Therefore, there is no evidence to suggest that the spinner is unfair. It is more likely that Miles simply lost due to chance.

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Answer:

seventh tenths as a decimal are 0.7

Answer:

\(f\left(2,3,1\right)=\bold{14}\)

Step-by-step explanation:

Given the function:

\(f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}\)

To find:

The value of \(f(2, 3, 1)\) = ?

Solution:

\(f(2, 3, 1)\) means the values of \(x, y\ and\ z\) as:

\(x=2\\y=3\\z=1\)

Let us put the given values in the given function and let us solve for it:

\(\Rightarrow f\left(2,3,1\right)=\dfrac{2^3-2.5\times 3^2+\frac{1}{2}}{1\left(2-3\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-2.5\times 9+0.5}{1\left(-1\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-22.5+0.5}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{-14}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\bold{14}\)

Therefore, the answer is:

\(f\left(2,3,1\right)=\bold{14}\)

Answer:

Isolate the variable and simplify.

Step-by-step explanation:

13h = 109.2

h = 109.2 ÷ 13

h = 8.4

Your answer would be 8.4 units.

Don't forget units! :)

Answer:

6.912 students did NOT choose a taco type out of the 72 students.

Step-by-step explanation:

I got the number of kids for 54.4% of 72 and 36%, and added them, then subtracted that from 72 to get the total amount

750 - 750 * 0.544 - 750 * 0.36 = 72.

The length of the missing side is approximately 6.2 cm.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In mathematical terms, it can be written as:

c² = a² + b²

Where c is the length of the hypotenuse and a and b are the lengths of the other two sides. Using this equation, we can solve for the missing side.

In your case, you have been given the length of the hypotenuse, c, as 8 cm, and one of the other sides, a, as 5 cm. Let's represent the missing side with b. Substituting the given values into the equation, we get:

8² = 5² + b²

Simplifying the equation, we get:

64 = 25 + b²

Subtracting 25 from both sides, we get:

39 = b²

Taking the square root of both sides, we get:

b ≈ 6.2

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Complete Question:

Find the missing side when the value of the side is 5 cm and the hypotenuse is 8 cm. Round to the nearest tenth.

The inequality that describe the situation, temperature for water when it is not liquid is x ≤ 0 °C.

The graph of the inequality is shown below.

The interval notation of the inequality is (-∞, 0].

From the question, we are to write an inequality to describe the situation.

The situation is we are to write the temperature for water, in degrees Celsius, when it is not liquid.

Let x represent the temperature of the water

When water is not liquid, the temperature is less than or equal to 0 °C.

That is,

x ≤ 0 °C

The graph of the of the inequality on a number line is shown below.

The inequality in interval notation is (-∞, 0].

Hence, the inequality is x ≤ 0 °C and the interval notation is (-∞, 0].

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∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information

Two angles are given.

∠g = (2x-90)°

∠h = (180-2x)°

We have to find the statement which is true about the angles g and h.

If both angles are greater than zero.

Complementary angles add up to 90 degrees

i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.

Substituting the given values:

∠g + ∠h

= (2x-90)° + (180-2x)° = 90°

Thus, ∠g and ∠h are complementary angles.

and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h  are acute.

So the statement ∠g and ∠h are acute angles is also true

Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements

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None of the provided options (a. two-way repeated-measures ANOVA, b. three-way ANOVA, c. t-test, d. two-way independent ANOVA) are suitable for analyzing the data regarding the question of Mozart reincarnation.

To analyze the data regarding the question "Are you Mozart reincarnated?", none of the provided options (a. two-way repeated-measures ANOVA, b. three-way ANOVA, c. t-test, d. two-way independent ANOVA) are directly applicable.

These options are typically used to analyze data with specific experimental designs or comparisons between different groups or conditions. However, the question about Mozart reincarnation does not fit into these frameworks.

In this case, a suitable approach would be regression analysis or correlation analysis to explore the relationship between belief in reincarnation and musical ability, or perhaps qualitative analysis methods to examine responses in more detail.

The specific analytical method would depend on the nature of the data and research objectives.

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The least square regression line implies a mathematical equation that models the relationship between the dependent and independent variables. Hence, it may be used to predict a value of y if the corresponding x value is given. The least square regression line also called the best fit line, gives a mathematical relationship between variables in slope-intercept form.The predicted value of y or x if the corresponding value of either variable is given.

what is regression?

A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.

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Answer:

Step-by-step explanation:

x+60=140

x=140-60

x=80 degree

Answer:

x is 33

Step-by-step explanation:

All 3 of these angles added together create a straight line, and such lines always measure 180°, so if we create an equation with the 3 angles being added together, set it equal to 180, and solve, we'll find the answer:

104+x+(x+10)=180

104+x+x+10=180 (use the distributive property to remove parenthesis)

104+10+x+x=180 (rearrange terms)

114+2x=180 (combine like terms)

2x=180-114 (subtract 114 from both sides)

2x=66

x=33 (divide 2 from both sides)

Answer:

d

Step-by-step explanation:

d

Two two numbers whose difference is 88 and whose product is a minimum are -44 and 44.

Let the numbers be x and y where x is larger value and y is smaller number.

According to ques,

x - y =88

and we need to make product of numbers i.e 'xy' minimum.

So we can take x = 88 + y ------(2)

substituting value of x in xy, we get

(88 + y) (y) = y² + 88y ------(1) to make it minimum we need to equate its derivative equal to zero.

derivative of  (1) is 2y + 88

Equating it to zero, we get

2y + 88 = 0

subtracting 88 from both sides, we get

2y = -88

Dividing 2 from both sides, we get

y = -44 ------(3)

Substituting value of y from (3) in (2), we get

x = 88 - 44

x = 44

So, we get value of x as 44 and y as -44 to get their product as minimum.

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After f(x) = 2x translated up 5 units, then it reflect in x-axis is g(x) = f(2x)+5.

What does a graphing translation mean?

The rules for transforming a function f(x) into g(x):

g(x) = a·f(b(x-c)) + d

Hence, After f(x) = 2x translated up 5 units, then it reflect in x-axis is g(x) = f(2x) + 5.

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Answer:

Image result for what is the formula for a pyramid in a example

The general formula for the total surface area of a regular pyramid is T. S. A. =12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.

The significance of the Louisiana Purchase to the United States and France includes the following:

The United States: Would expand its territory further, have access to the Mississippi River and enjoy more national security.

France: Would get rid of a territory that troubled it and would also enjoy the financial gain of the deal.

The two countries that engaged in the Louisiana Purchase also had risks that they would encounter.

For the United States, the risks included the possibility of having conflicts with Native Americans, and for France, some risks included losing some of its territory to America and having the United States as a rival.

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Answer:

4

Step-by-step explanation:

22=4(x+3)-5

22+5=4(x+3)-5+5

27=4(x+3)

27/4=4(x+3)/4

27/4=x+3

(27/4)-3=x+3-3

x=(27/4)-3

x=15/4

x=3.75

x=4

Answer:

The sum of 1/3x and 2/5x will be:

\(\frac{1}{3}x+\frac{2}{5}x=\frac{11}{15}x\)

Step-by-step explanation:

Finding the sum of 1/3x and 2/5x.

i.e.

\(\frac{1}{3}x+\frac{2}{5}x\)

Factor out common term x

\(\frac{1}{3}x+\frac{2}{5}x=x\left(\frac{1}{3}+\frac{2}{5}\right)\)

as

\(\frac{1}{3}+\frac{2}{5}=\frac{5+6}{15}=\frac{11}{15}\)

so the expression becomes

                 \(=\frac{11}{15}x\)      

Therefore,  the sum of 1/3x and 2/5x will be:

\(\frac{1}{3}x+\frac{2}{5}x=\frac{11}{15}x\)

The pdf of W is: fw(w) = dFw(w)/dw = (1/16) \(e^{(-w/16)}\) for w>=0 .This is the pdf of a Gamma distribution with shape parameter 2 and scale parameter 16.

Since x and y are independent exponential random variables with E[x] = E[y] = 16, we have the pdf of x and y as:

fX(x) = (1/16) \(e^{(-x/16)}\)for x>=0

fY(y) = (1/16) \(e^{(-y/16)}\)for y>=0

Let W = XY, and we need to find the pdf of W. We can find the cumulative distribution function (CDF) of W and then differentiate it to find the pdf.

The CDF of W is given by:

Fw(w) = P(W<=w) = P(XY<=w) = ∫∫[xy<=w] fX(x) fY(y) dx dy

where [xy<=w] is the indicator function, which takes the value 1 if xy<=w and 0 otherwise.

Since x and y are non-negative, we can write:

Fw(w) = ∫∫[xy<=w] (1/256) \(e^{(-x/16)}\) \(e^{(-y/16)}\) dx dy

= (1/256) ∫∫[xy<=w] \(e^{(-x/16-y/16)}\) dx dy

Let's make a change of variables and define u = x+y and v = x. Then we have:

x = v

y = u-v

The Jacobian of this transformation is 1, so we have:

Fw(w) = (1/256) ∫∫[uv<=w] \(e^{(-u/16)}\) du dv

We can split the integral as:

Fw(w) = (1/256) ∫[0,w] ∫[v,∞] \(e^{(-u/16)}\) du dv

= (1/256) ∫[0,w] 16\(e^{(-v/16)}\) dv

= 1 - \(e^{(-w/16)}\)

Therefore, the pdf of W is: fw(w) = dFw(w)/dw = (1/16) \(e^{(-w/16)}\) for w>=0

This is the pdf of a Gamma distribution with shape parameter 2 and scale parameter 16.

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Answer:

1 9/16

Step-by-step explanation:

First, you do 25 - 16, and the answer is 9. After that you put a 1, as its a whole. Lastly, you put the 9 on top of the 16.

Answer:

I think it is 1 9/16

The approximate probability that the total score is at least 375 when a fair six-sided die is rolled 100 times is (d) 0.4420.

When a fair six-sided die is rolled, the random variable X represents the outcome. The mean (μX) of X is 3.5, and the standard deviation (σX) is 1.71.

To find the probability that the total score is at least 375 when the die is rolled 100 times, we can use the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approximates a normal distribution.

In this case, the sum of the outcomes of 100 rolls of the die follows a normal distribution with a mean of μX multiplied by the number of rolls (100) and a standard deviation of σX multiplied by the square root of the number of rolls (10). Therefore, the approximate probability can be calculated by finding the probability that the sum is greater than or equal to 375.

Using a normal distribution table or a calculator, we can find that the approximate probability is 0.4420, which corresponds to answer (d). This means that there is a 44.20% chance that the total score will be at least 375 when the die is rolled 100 times.

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Answer:

\(\sqrt{34}\) or 5.831

Step-by-step explanation:

Plug the coordinates into the formula and there's your answer.

To estimate f(3.1) using the linearization of the function f(x) = x^2 - x at x = 3, we first find the equation of the tangent line to the curve at x = 3. The linearization is given by:

L(x) = f'(3)(x - 3) + f(3)

To find f'(3), we differentiate f(x) with respect to x:

f'(x) = 2x - 1

Substituting x = 3 into f'(x), we get:

f'(3) = 2(3) - 1 = 5

Now, substitute the values into the linearization equation:

L(x) = 5(x - 3) + (3^2 - 3) = 5x - 10

Finally, we can estimate f(3.1) by substituting x = 3.1 into the linearization equation:

f(3.1) ≈ 5(3.1) - 10 = 15.5 - 10 = 5.5

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The requried domain of the given relation is {−5, 0, 3, 4}. Option A is correct.

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

Here,
We have the ordered pair of a relation given as,
(-5, -10), (0, 0) (3, 6) (4, 8)

From above, the x absciss of each ordered pair is termed as the domain of the relation.

So, set of domain = {−5, 0, 3, 4}]

Thus, the requried domain of the given relation is {−5, 0, 3, 4}. Option A is correct.

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The 98% confidence interval for the population mean (μ) is approximately (2.711, 3.009).

1: Identify the given data

Sample size (n) = 150 students

Sample mean (x) = 2.86

Population standard deviation (σ) = 0.78

Confidence level = 98%

2: Find the critical z-value (z*) for a 98% confidence level

Using a z-table or calculator, you'll find that the critical z-value for a 98% confidence level is 2.33 (approximately).

3: Calculate the standard error (SE)

SE = σ / √n

SE = 0.78 / √150 ≈ 0.064

4: Calculate the margin of error (ME)

ME = z* × SE

ME = 2.33 × 0.064 ≈ 0.149

5: Construct the confidence interval

Lower limit = x - ME = 2.86 - 0.149 ≈ 2.711

Upper limit = x + ME = 2.86 + 0.149 ≈ 3.009

The 98% confidence interval is approximately (2.711, 3.009).

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Answer:

  -16

Step-by-step explanation:

You want the difference (5.42x10^-15)-(4.98x10^-15).

Consider the difference of the coefficients:

  0.44

Multiplying and dividing by 10 gives ...

  0.44 = 4.4/10 = 4.4 × 10^-1

When this is multiplied by the original numbers' factor 10^-15, we have ...

  0.44 × 10^-15

  = (4.4 × 10^-1) × 10^-15

Exponents are combined in the usual way:

  = 4.4 × 10^-16

The value of k in 4.4×10^k is -16.

__

Additional comments

The rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

The power of 10 multiplier of the number tells you the place value of the digit immediately to the left of the decimal point. Place values to the right of that have a power of 10 that is 1 less for each digit position. Perhaps the second attachment can help you visualize this.

Answer:

-16

Step-by-step explanation:

The answers are  46/35 ,5/4, 5/4, 7/3

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given here: 3/5 + 5/7 = 46/35

6/12 + 9/12=5/4

1/4 + 4/4 = 5/4

2/3 + 5/3 = 7/3

Hence, The answers are  46/35 ,5/4, 5/4, 7/3

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Answer:

Step-by-step explanation:

Don't make life difficult with decimals. First multiply both sides with 10 to get rid of decimals.

10 (3x^2 + 2.5x) = 10 (12.5)

30x^2+ 25x = 125 (now rearrange to write in quadratic form)

30x^2 + 25 x - 125 = 0 (now we know a = 30, b= 25, c = -125)

Final answer x = 5/3 , -5/2