The median monthly rent in 2000 we $602 and $651 in 2003. What was the percent increase in the median monthly rent prices from 2000 to 2003?

In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.

The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.

In general, the choice of significance level depends on the specific application and context of the statistical analysis.

The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.

The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.

A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.

A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.

For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.

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Answer:

\( 5.1 - 2.015 \frac{19.1}{\sqrt{45}}= -0.637\)

\( 5.1 + 2.015 \frac{19.1}{\sqrt{45}}= 10.837\)

And for this case since the confidence interval contains the value 0 we don't have significant evidence that we have a net change in the levels

Step-by-step explanation:

For this case we have the following info given:

\( n=45\) represent the sample size

\( \bar X= 5.1\) represent the sample mean

\( s= 19.1\) represent the sample deviation

We can calculate the confidence interval for the mean with the following formula:

\( \bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}\)

The confidence level is 0.90 then the significance level would be \(\alpha=0.1\) and the degrees of freedom are given by:

\( df= n-1 = 45-1=44\)

And the critical value for this case would be:

\( t_{\alpha/2}=2.015\)

And replacing we got:

\( 5.1 - 2.015 \frac{19.1}{\sqrt{45}}= -0.637\)

\( 5.1 + 2.015 \frac{19.1}{\sqrt{45}}= 10.837\)

And for this case since the confidence interval contains the value 0 we don't have significant evidence that we have a net change or efectiveness in the levels

Answer:

the 3rd option is the right one

Answer:

the answer is a

Step-by-step explanation:

Based on experimental probability, 28 of the next 64 spins you expect on land on red

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

It is given that out of 16 spins, a purple-and-red spinner landed on purple 9 times and on red 7 times..

Experimental probabilities are

p(purple )= purple/total = 9/16

p(red )= red/total = 7/16

Based on experimental probability, we need to find how many of the next 64 spins would we expect on land on red.

The expected number of red in 64 spins is

expected red =64 * p(red ) = 64*7/16 = 28

Based on experimental probability, 28 of the next 64 spins you expect on land on red

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Answer:

9!-2880 = 360000.

Step-by-step explanation:

(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.

(10) The slope of a line parallel to this line, y = 10 -8x is -8.

The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.

Question 9.

f(x) = 0.75x + 6

where;

The slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3

Question 10.

For the equation of another line, y = 10 - 8x

The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;

y = 10 - 8x

where;

slope of a line parallel to the line = -8

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Answer:

1.0

Step-by-step explanation:

The 6 is bigger than 5, so that bups the number up to 1.0.

Answer: The blue dot is at -22

Step-by-step explanation:

The distance between two line is shown to be 6, so you subtract six from -16 to find the value of the dot.

Answer:

-22

Step-by-step explanation:

the distance between -10 and -16 is 6 and 6 divided by 2 is 3. I add -6 to -16 to get -22

Answer:

slope: 5/7

0.714 mile per hour

Step-by-step explanation:

slope: find the point where the line is right on the line graph, put y/x which is 10/14 make the fraction smaller which is 10/14 = 5/7(I divide the denominator and nominator by 2)

Mile per hour: 5/7 cross multiply with x/1, make into an equation:

7x=5 x 1

7x = 5

x = 0.714

Answer:

y= -2/5x + 5

Step-by-step explanation:

Answer:

y=-2/5x+5

is the answer

The value of intergal  \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\) is

\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)

In mathematics, an integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the two main tools used in calculus and are used to calculate areas, volumes, and their generalizations.

The integral \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\)  can be evaluated by first completing the square and then using the substitution method.

Completing the square gives us \(( 3 t^{4} -1 = (3t^{2} -1)^{2} \)\).

We can now make the substitution \(( u = 3 t^{2} -1 \)\)).

Differentiating, we get \(( du = 6t dt \)\)).

Therefore, the integral can be written as\(y=\int_{-2}^{x} \sqrt{(3t^{2}-1)^{2}} \frac{du}{6t} \)\).

Solving the integral, we get:

\(y = \frac{1}{6} \sqrt{(3t^{2}-1)^{2}} +C \)\)

Substituting back into the equation, we get the answer as:

\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)

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The probability of P(X = 48) and P(Y =2) is 0.1056 and 0.2642 respectively.

Suppose 10 percent of households earn over 80,000 dollars a year,and 0.25 percent of households earn over 450,000.

a random sample of 400 house-holds has been chosen

N = 400

P = 25%

n*p = 400*0.25 = 100

n(1-p) = 400 * 0.75 = 300

100 and 300 are greater than 5 so we use the normal distribution here to estimate further.

mean = n*p = 100

sd = √(np(1 - p))

sd = √(100(1 - 0.25))

sd = √(100 x 0.75)

sd = √75

sd = 8.66

p(X≥48)

= p(X≥47.5)

P(z <  (47.5 - 40)/6)

P(z < 1.25)

= 0.8944

1 - 0.8944

= 0.1056

FOR Y

N = 400 p = 0.25% = 0.0025

400 * 0.0025 = 1

1 is less than 5 so we use poisson distribution.

using the excel function,

1 - BINOMDIST(1, 400, 0.0025, TRUE)

= 1 - 0.735759074

= 0.2642

Therefore, the probability of P(X = 48) is  0.1056 and P(Y =2) is 0.2642

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Answer:

10,582 algae plants

Step-by-step explanation:

10,582 algae plants. You have to add 810 and 9,772 to get 10,582 algae plants.

Answer:

no solution

Step-by-step explanation:

The solution to a system of equations is where the two graphs intersect.  The two lines do not intersect since the lines are parallel, so there is no solution.

Answer:

16.8

Step-by-step explanation:

s = ∅ × r

= 2π/3 × 8

= 16/3 * π

= 16.75516

= 16.8

Answer:

C.) 16.8 is your answer

Step-by-step explanation:

Answer:

2. kilograms

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

A. True

Step-by-step explanation:

7 divided by 1/4 flip it it equals 28

7 x 4 -= 28

Answer:

thanks

Step-by-step explanation:

Answer:

Step-by-step explanation:

Now, in order for it to be a proportion, both the number and the denominator must turn to the other number by the same method. I'll clarify when we do the steps.

So, the first one is 4/10 and 10/25

The first thing that you would do is divide 10 by 4, and then 25/10

When you do that, it turns out that they both equal 2.5. This means that both the number and denominator go to the new number with the same method, multiplying by 2.5

So, the answer would be A

Answer:

The number: x

Step-by-step explanation:

15+3x = 6x-10

3x = 25

Answer:

40

Step-by-step explanation:

15 + 3x = 6x - 10

15 + 10 = 6x - 3x

25 = 3x

25/3 = x

To check

15 + 3(25/3) = 6(25/3) - 10

15 + 25 = 50 - 10

40 = 40

Using simple unitary method process in the given problem with the provided values, The answer is £42 .

The unitary method is a method of solving mathematical problems in which the relationship between a quantity and its unit of measurement is used to find an unknown quantity. It involves expressing the given quantity in terms of a unit, then solving for the unknown quantity in terms of the same unit.

Arithmetic operators are used to perform basic mathematical operations, such as addition (+), subtraction (-), multiplication (*), division (/), and modulus (%). They take numerical values (either literals or variables) as their operands and return a single numerical value. These are widely used in mathematical computations, like in programming languages, spreadsheets and calculator apps.

4 glasses cost £24.

1 glass cost £24/4 = £6

7 glasses cost = £6 * 7 = £42

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Answer:

Option D.   \(g(x)=5(0.8)^{x}+2\)

Step-by-step explanation:

Main concepts

Concept 1: identifying horizontal asymptote

Concept 2: assuring decreasing exponential function

Concept 1. identifying horizontal asymptote

Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis.  A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number.  Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units.  Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.

Concept 2. assuring decreasing exponential function

Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".

Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.

To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.

Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.

Answer:

P= 112,490.26207887

P= 112,490 (it should be a whole number for oliy represents the number of humans)

Step-by-step explanation:

1,240,000 = P e^(0.08×30)

1,240,000 = P e^(0.08×30)

________ ____________

e^(0.08×30) e^(0.08×30)

P = 112,490.26207887

or

1,240,000 = P e^(0.08×30)

____________ ____________

11.0231763806 11.0231763806

P = 112,490.26207887

Transformation involves changing the position and size of a function.

\((x,y)\) will be transformed to \((-x,y+3)\)

Let the parent function be (x,y)

Reflection across y-axis

The rule for reflection across the y-axis is:

\((x,y) \to (-x,y)\)

So, (x,y) will give (-x,y); when reflected across the y-axis.

Vertical shift

The rule for vertical shift 3 units up is:

\((x,y) \to (x,y + 3)\)

Recall that, the first transformation gives (-x,y)

The vertical shift will then give the following transformation:

\((-x,y) \to (-x,y+3)\)

Hence, the parent function will be transformed to \((-x,y+3)\)

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Answer:

Step-by-step explanation:

radius = 16/2 = 8

Then you can apply the formula to calculate the base area, lateral surface or surface or even perimeter

Hey there! I'm happy to help!

A proportional relationship is a straight line that passes through the origin, which is (0,0). If you look at Graph 3, it looks like the line is straight, but it does not look like it will pass through (0,0). Therefore, Graph 3 does not show a proportional relationship.

Graph 4, however, does look like straight line and it does look like it will pass through (0,0). Therefore, Graph 4 does show a proportional relationship.

Have a wonderful day! :D

Answer:

4)

Step-by-step explanation:

3)

this relationship isn't a proprtional relationship since it does't pass through (0,0)

')

this relationship is a proportional relation since it is a straight line that passes through (0,0)