If two variables are correlated to each other, which of the following are characteristics of the dependent variable?
a. In a cause and effect relationship, it is the cause.
b. It is usually shown on the horizontal axis of a scatter diagram.
c. It is usually shown on the vertical axis of a scatter diagram.
d. In a cause and effect relationship, it is the effect.Answer: c. It is usually shown on the vertical axis of a scatter diagram.
d. In a cause and effect relationship, it is the effect.

Answers

Answer 1

Option C is correct, If two variables are correlated to each other It is usually shown on the vertical axis of a scatter diagram.

In statistics, correlation or dependence is any statistical dating, whether or not causal or no longer, among random variables or bivariate records. Even though in the broadest sense, “correlation” may additionally imply any sort of association, in statistics it normally refers back to the diploma to which a couple of variables are linearly related.  

Acquainted examples of based phenomena consist of the correlation between the peak of mother and father and their offspring, and the correlation between the rate of an excellent and the amount the clients are inclined to buy, as it’s far depicted within the so-referred to as call for the curve.

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Related Questions

An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 2 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume = 70 cubic feet which would minimize the cost of construction. The values for the dimension of the base are: ?, ? The height of the box is: ?

Answers

The length and height of the box with a volume of 70 cubic feet to reduce construction costs is 8.572 and 3.81.

Given that,

The base of an open box must be built with the length of the base being four times more than the width of the base. If building the base costs two dollars per square foot and building the four sides costs one dollar per square foot.

We have to identify the dimensions of a box with a volume of 70 cubic feet to reduce construction costs.

We know that,

The volume =70 cubic feet

L=4w    ------>equation(1)

Volume= l×w×h

70=4w×w×h

h=70/4w²     ------>equation(2)

The construction cost is

C= 4(lw)+2(wh)+2(hl)

C=4(4w×w)+2(w×70/4w²)+2(4w×70/4w²)

C=4(4w²)+2(70/4w)+2(70/w)

C=16w²+70/2w+140/w

Now,

To determine the minimum cost,

dC/dw

16w-70/4w²-140/w²=0

16w³=1/w²(70/4+140)

16w³=1/w²(315/2)

16w³=315/2

w³=315/32

w=2.143

From equation(1)

L=4w=4×2.143=8.572

H=70/4w²=70/4(2.143)²=3.81

Therefore, The length and height of the box with a volume of 70 cubic feet to reduce construction costs is 8.572 and 3.81.

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How many statements below are true? 1. Given two square matrices, AB-I, then BA-I 2. Given two matrices, Al is an eigenvalue of AB, then A is an eigenvalue of BA 3. If AB BA for all square matrices B, then A must be a multiple of the identity matrix. Pick one of the choices 0 1 O 2 0 3 Clear selection

Answers

The correct option: 3. If AB BA for all square matrices B, then A must be a multiple of the identity matrix.

Define the term identity matrix?

A square matrix called an identity matrix is one in which all of the primary diagonal members are one and all other components are zero.

As per the stated question-

In order to determine whether a b is equal to I we were first given two square matrices, a b & b a, both of which are equal to i. Therefore, a b is equal to i. A homogeneous system b x = 0 is subsequently taken into consideration. We could indeed transform b to row reduced echelon form using only elementary rule operations, but we then have that b is going to be invertible and an is the inverse of b, as such yes, we have that a b is equivalent to b a which is equal to i. This tells us that x is equal to 0 seems to be the only solution to the homogeneous system.

Thus, if A is a multiple of the identity matrix if AB BA for all square matrices B.

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Use the Intermediate Value Theorem to show that at least one zero lies in the given interval for the given polynomial. f (x) = x^3 - 6x + 1, between x = 2 and x = 3 Substitute x = 2 and x = 3 into the function and simplify. f (2) = f (3) = Interpret the results using the Intermediate Value Theorem. Because f is a polynomial function and since f (2) it and f (3) is, there is at least one real zero between x = 2 and x =

Answers

Proved that at least one zero lies in the interval x  = 1 and x = 2 for the given polynomial

The polynomial is given by

f(x) = [tex]x^3[/tex] - 6x + 1

We have to show that at least one zero lies in the given interval for the given polynomial using the intermediate value theorem

When the value of x = 2

Substitute the value of x in the polynomial

f(2) = (2)^3 - 6(2) + 1

= 8 - 12 + 1

= -3

When the value of x = 3

Substitute the value of x in the polynomial

f(3) = (3)^3 - 6(3) + 1

= 27 - 18 + 1

= 10

Here the value of f(2) is negative and the value of f(3)  is positive therefore there is at least one real zero between x = 1and x = 2

Hence, proved that at least one zero lies in the interval x  = 1 and x = 2 for the given polynomial

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(Ch 8.2) True or False? In any random sample drawn from a population, the sample mean is an unbiased estimator of the population mean.
11. (Ch 8.2) A consistent estimator for the population mean a. collapses on the true parameter μ as the variance increases. b. collapses on the true parameter μ as the sample size increases. c. consistently follows a normal distribution. d. is impossible to obtain using real sample data.
12. (Ch 8.3) The Central Limit Theorem (CLT) implies that a. the population will be approximately normal if the sample size n is at least 40. b. repeated samples must be taken to obtain normality. c. the distribution of the sample mean is approximately normal for a large n. d. the sample mean is not an unbiased estimator of the population mean.
13. (Ch 8.3) True or False? The Central Limit Theorem says that, if the sample size n exceeds 30, then it must be the case that the population will be normal.
14. (Ch 8.4) True or False? A higher confidence level leads to a narrower confidence interval.
T
B
C
F
F

Answers

True , In any random sample drawn from a population, the sample mean is an unbiased estimator of the population mean.

What is the central limit theorem formula?

The central limit theorem gives a formula for the sample mean and the sample standard deviation when the population mean and standard deviation are known. This is given as follows: Sample mean = Population mean = μ μ Sample standard deviation = (Population standard deviation) / √n = σ / √n.

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What are the end behavior of the graph of a polynomial function with a positive leading coefficient and has an even degree?.

Answers

If a polynomial's degree is even and its leading coefficient is positive, then f(x) → ∞ as x → ±∞

What is a polynomial?

A polynomial is a mathematical statement that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminates (also known as variables) and coefficients. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. x3 + 2xyz2 yz + 1 is a three-indeterminate example.

Numerous branches of mathematics and science use polynomials. For instance, they are used to define polynomial functions, which show up in contexts ranging from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems. In higher mathematics, polynomials are used to build algebraic varieties and polynomial rings, two fundamental ideas in algebra and algebraic geometry.

How to check the end behaviour of polynomials?

The endpoints of the graphed lines entered and exited the same side of the image in each of the four images above. Like every positive quadratic you've ever graphed, the ends of the graphs of functions with positive leading coefficients came in and left off the top of the image. Like every negative quadratic you've ever graphed, the ends of the graphs of functions with negative leading coefficients came in and left out the bottom of the image.

Every polynomial of even degree will exhibit these characteristics. You can recall the end behavior of every even-degree polynomial if you can remember the behavior for quadratics (or for parabolas).

Hence from the above explanation:-

If a polynomial's degree is even and its leading coefficient is positive, then f(x) → ∞ as x → ±∞

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what is 5.37 divided by 3 equals put 5.37 at the top and 3 at the bottom PLEASE EXPLAIN YOUR ANSWER I HAVE 19 MINS TO TURN THIS IN

Answers

The answer is 1.79.

What is division?

Division is breaking a number up into an equal number of parts.

Given that, 5.37 divided by 3

5.37÷3 = 1.79

Hence, 5.37 divided by 3 equals to 1.79.

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Monique has three different types of pencils. She wants to investigate which type of pencil stays sharpened the longest. She writes the same thing on a
piece of paper with each pencil. In this scenario, what is the dependent variable?
O The type of pencil sharpener.
O Time the pencil takes to become dull.
The type of pencil.
O What she is writing with the pencil.

Answers

In this scenario, the dependent variable is the time the pencil takes to become dull and the type of pencil.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, there are three different pencils that Monique possesses. She's interested in finding out what kind of pencil maintains its sharpness the longest. Each pencil she uses leaves an identical mark on a piece of paper.

There are often two different sorts of variables in analytics. We obtained that independent variables will have an impact on dependent variables. What occurs as a result of the independent variable is referred to as a dependent variable.

Thus, in this scenario, the dependent variable is the time the pencil takes to become dull and the type of pencil.

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Which criteria for triangle congruence can be used to prove that the pair of triangles are congruent?.

Answers

SSS is the correct response because two triangles are considered to be congruent when all three of their respective sides and all three of their corresponding angles have the same measure.

How can you demonstrate a triangle's congruency?

Triangles that really are precisely the same in size and shape are said to be congruent. The symbol is in the term congruent. Two triangles are said to have been congruent when the three sides as well as three angles of one triangle have the identical dimensions as the three sides as well as three angles of another triangle.

Write the names of the vertices as shown below, starting with triangle DAB and triangle BCD.

AB = CD

DA = BC

The sides BD are identical in both triangles, so,

BD = BD

Since the triangles DAB and BCD have the same three sides, we may infer that they are congruent using the SSS property of a congruent triangle.

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an independent random sample is selected from an approximately normal population with unknown standard deviation. find the degrees of freedom and the critical t-value (t*) for the given sample size and confidence level.

Answers

a) The critical value 90% is 1.833

b) The critical value for 98% is 2.528

c) The critical value of 90% is 1.645

d) 3.169 is the critical value of 99%.

What is meant by critical value?

The critical probability (p*) = 1 - (α / 2), where α equals 1 - (confidence level / 100).

Given that an independent random sample is drawn from a population with an essentially normal standard deviation.

To calculate the degrees of freedom and crucial t-value for a given sample size and confidence level.

n-1 degrees of freedom

Critical t can be obtained from the internet's t table.

a) degree of liberty = 5

The critical 90% is 1.833

b) degree of freedom is 20.

The critical value for 98% is 2.528

c) degree of freedom =28

The critical value of 90% is 1.645

d) degree of freedom =10.

3.169 is the critical value of 99%.

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If X1, X2, X3, and X4 are (pairwise) uncorrelated random variables, each having mean 0 and variance 1, compute the correlations of (a) X1 + 2X2 and X2 + 3X3; (b) Xi + 1,000, 000X2 and X3 + 1, 000, 000X4_ Note: This problem will be graded without partial credit each part receiving 0 or 1.5 points

Answers

If X1, X2, X3, and X4 are (pairwise) uncorrelated random variables, each having mean 0 and variance 1, the correlations of X1 + 2X2 and X2 + 3X3, the value will be 0.5.

Define variance.

Variance is the anticipated squared variation of a random variable from its population mean or sample mean in probability theory and statistics. Variance is a measure of dispersion, or how far apart from the mean a group of data are from one another.

Given,

X1, X2, X3, and X4 are (pairwise) uncorrelated random variables, each having mean 0 and variance 1,

Cov(X1+X2  , X2+X3)

= Cov(X1,X2) + Cov(X1,X3)+Cov(X2,X2)+Cov(X2,X3)

= 0+0+V(X2)+0

= 1

V(X1+X2)

=V(X1)+V(X2)+2Cov(X1,X2)

= 1+1-2*0

=2

Similarly V( X2+ X3) =2

So, correlation between ( X1+X2  and  X2+x3) is

Corr( X1+X2, X2+x3)

= Cov(X1+X2  , X2+X3) / \sqrt{}(V(X1+X2)*V( X2+ X3))

=1/\sqrt{}(22)

= 0.5

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The perimeter of a triangle is 59 in. The shortest side is 10 in. less than the longest side. The middle side is 21 in. less than the combined lengths of the
shortest and longest sides. Find the lengths of the three sides.

Answers

The lengths of the three sides are 15 inches , 19 inches and 25 inches respectively.

Let a represent the length of the shortest side.

Let b represent the length of the mid-length side.

Let c represent the length of the longest side.

From the question, we have

The perimeter of a triangle is 59 in.

a + b + c = 59

The shortest side is 10 in. less than the longest side.

a = c-10

The middle side is 21 in. less than the combined lengths of the shortest and longest sides.

b=(a+c)-21

b=(59-b)-21

2b = 38

b = 19 inches

substituting the value  we get

a+c = 40................(i)

a-c = -10................(ii)

Solving, we get

2a = 30

a = 15 inches

c=25 inches

The lengths of the three sides are 15 inches , 19 inches and 25 inches respectively.

Addition:

The act of combining two or more items is known as addition. The process of computing the sum of two or more numbers in mathematics is called addition. It is a fundamental mathematical procedure that is frequently used in daily life. When we work with money, figure out our food bills, or figure out the time, we frequently employ addition. One-digit numbers can be added simply for solving addition problems, however for bigger numbers, we divide the numbers into columns using their corresponding place values, such as ones, tens, hundreds, thousands, and so on.

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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The total amount the college student has in his saving account if 13000 dollars  was invested and earned 3% compounded quarterly for 5 years    is  $15,095.39

How to find the total amount the student have in her/his saving?

The total amount a college student has in a saving account if 13000 dollars was invested and earned 3% compounded quarterly for 5 years can be calculated as follows:

Therefore,

[tex]A = p(1 +\frac{r}{n} )^{nt}[/tex]

where

p = principalr = rate t = timen = number of time compounded

Therefore,

p = 13000 dollars

t = 5 years

n = 4

r = 3% = 0.03

Therefore,

[tex]A = p(1 +\frac{r}{n} )^{nt}[/tex]

[tex]A = 13000(1+ \frac{0.03}{4} )^{(4)(5)}[/tex]

A = 13,000.00(1 + 0.0075)²⁰

A = $15,095.39

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What is an example of a linear function table?.

Answers

An example of a linear function table is y=3x

A linear function is used to relate an independent variable and a dependent variable by introducing a rate of change(function) of which the independent variable is equated to find the dependent variable. Linear functions are those whose graph is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

for example:

y=3x hence is the dependent variable as it depends on the change of x and 3 is the rate of change which is a constant and is determined by the division of the values of y/x hence to make a table of y over x of which y is determined by the rate of change the unrelated variable x, 3.

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if f(x) is a polynomial of degree 7, and g(x) is a polynomial of degree 7, then what is the product of the minimum and the maximum possible degrees of f(x) g(x)? (assume that f(x) g(x) is nonzero.)

Answers

The maximum degree of f(x) g(x) will be 14 and the minimum degreee of f(x) g(x) will be 0.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Function f(x) is a polynomial of degree 7,

And, g(x) is a polynomial of degree 7.

Now,

Since, Function f(x) is a polynomial of degree 7,

And, g(x) is a polynomial of degree 7.

Hence, The maximum degree of f(x) g(x) = 7 + 7 = 14

And, The minimum degree of f(x) g(x) = 0

Thus, The maximum degree of f(x) g(x) will be 14 and the minimum degree of f(x) g(x) will be 0.

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17. A 50 foot tall tree casts a 72 foot shadow. Find the measure of the angle of elevation of the sun


Answers

The measure of the angle of elevation of the sun to the nearest degree is 35 degrees.

Given:

A 50 foot tall tree casts a 72 foot shadow.

Here tree height is opposite to angle of elevation and shadow is adjacent to angle of elevation.

Let E be the angle of elevation.

tan(E) = opposite side / adjacent side

= 50/72

= 25/36

= 0.694

E = tan^-1(0.694)

= 34.99 degrees

≈ 35 degrees.

Therefore The measure of the angle of elevation of the sun to the nearest degree is 35 degrees.

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When you add a positive number and a negative number how can you tell whether the sun will be positive or negative

Answers

Step-by-step explanation:

it depends on what the numbers are now if it's negative 10 and you're positive number is like over 10 then your number will be positive now if the negative number is more than the positive number then you know your answer is going to be negative so negative 10 - -5 is -5 so there would be your answer now if it was negative 10 - 20 that would be positive 10 does that make any sense

Which system of equations can be used to find the roots of the equation 12 x cubed minus 5 x = 2 x squared + x + 6?.

Answers

We use the quadratic formula to find the roots of the quadratic equation.

The quadratic equation is given below:

f(x) = a[tex]x^{2}[/tex] + bx + c = 0 where a, b, c

The system of equations used to find roots of equation is y = 12[tex]x^{3}[/tex]-5x and y=2[tex]x^{2}[/tex]+x+6.The given equation will be,12[tex]x^{3}[/tex]-5x=2[tex]x^{2}[/tex] + x + 6.

Now we take the root of equation into two parts:

1. Left-hand side

2. Right-hand side

Equation no.1 : 12[tex]x^{3}[/tex]-5x=0

Equation no.2: 2[tex]x^{2}[/tex]+x+6=0

Now we contains system of equation 0 with y.

So, the equation will be:

12[tex]x^{3}[/tex]-5x=y

2[tex]x^{2}[/tex]+x+6=y

However,system of equations can be used to find the roots of the equation 12[tex]x^{3}[/tex]-5x=2[tex]x^{2}[/tex]+x+6 is:
y = 12[tex]x^{3}[/tex]-5x and y = 2[tex]x^{2}[/tex]+x+6

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What is the value of x in the equation?

Answers

Answer:

x=11

Step-by-step explanation:

we need to change 3/2 to have a denominator of 6

3x3/2x3

9/6

Now we set x-2 equal to 9

x-2=9

 +2 +2

x=11

Hopes this helps please mark brainliest

Answer:

[tex]\huge\boxed{\sf x = 11}[/tex]

Step-by-step explanation:

Given equation:

[tex]\displaystyle \frac{x-2}{6} = \frac{3}{2} \\\\Cross \ Multiply\\\\2(x-2)=3 \times 6\\\\Distribute\\\\2x - 4 = 18\\\\Add \ 4 \ to \ both \ sides\\\\2x = 18+4\\\\2x = 22\\\\Divide \ 2 \ to \ both \ sides\\\\x = 11\\\\\rule[225]{225}{2}[/tex]

What is the probability of randomly selecting a male?.

Answers

The probability of randomly selecting a male is dependent upon the gender distribution of the population from which the selection is made.

For example, if the population is evenly split between males and females, then the probability of randomly selecting a male would be 50%. Alternatively, if the population had more females than males, then the probability of selecting a male would be lower than 50%.

In general, the probability of randomly selecting a male is determined by the ratio of males to females in the population. For example, if there were twice as many females as males, then the probability of randomly selecting a male would be 33.3%. Similarly, if there were four times as many females as males, then the probability of randomly selecting a male would be 25%.

These probabilities can also be applied to specific populations. For example, the United States Census Bureau estimates that there are 101.8 males for every 100 females in the US population. Therefore, the probability of randomly selecting a male from the US population is approximately 50.9%.

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at a certain auto parts manufacturer, the quality control division has determined that one of the machines produces defective parts of the time. if this percentage is correct, what is the probability that, in a random sample of parts produced by this machine, exactly are defective?

Answers

The probability of a random sample of parts produced by this machine being exactly defective = 0.15

Step-by-step explanation:

Let the percentage of defective part be 12%

and the sample be out of 7 , 2 are defective.

P(X=x) = (e-λ λ x)/ x!   [ poisson distribution]

Since, 12%  defective parts is produced by one of the machines of the time.

μ= (12%×7)= 0.84

the number of defective product =2

Therefore ,

P(X=2) = 0.15

Thus the required probability becomes 0.15

In Statistics, Poisson distribution is one of the important topics. It is used for calculating the possibilities for an event with the average rate of value. Poisson distribution is a discrete probability distribution.

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At the current prices of goods X and Y, the quantity demanded of good X is 10 units, and the quantity demanded of good Y is 5 units. The cross-price elasticity of demand between goods X and Y is 0.6. A 10 percent increase in the price of good Y will result in which of the following?
A 6 percent increase in the quantity demanded of good X.

Answers

A 10% increase in the price of good Y will result in a 6% increase in the quality demanded of good X.

A number or variable is a quantity. Measuring the percentage change of the quantity demanded for a good to the percentage change in the price of another good is called cross-elasticity of demand.

As per the question,

Quantity demanded by X   =   10 unitsQuantity demanded by Y   =   5 unitsCross-elasticity of demand between goods X and Y   =   0.610% increase in the price of good Y   =   ?

As the cross-elasticity of the goods is 0.6 i.e. 1% will increase in the price of good Y, increasing the demand for good X by 0.6%. X and Y are the substitute goods because when the price of Y increases sales of X increase.

⇒ When the price of good Y increases by 10%, then that will result in

    increase in quantity demanded of good X   =   0.6 × 10

                                                                              =   6%

⇒ quantity demanded of good X is 10 units, 6% increase means

    quantity demanded of good X   =   ( 1.06 × 10 )

                                                          =   10.6 units

Therefore, A 6% increase in the quantity demanded of good X, when a 10% increase in the price of good Y i.e. option a is correct.

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The complete question is

At the current prices of goods X and Y, the quantity demanded of good X is 10 units, and the quantity demanded of good Y is 5 units. The cross-price elasticity of demand between goods X and Y is 0.6. A 10% increase in the price of good Y will result in which of the following?

a. A 6% increase in the quantity demanded of good X.

b. A 10% increase in the quantity demanded of good X.

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 31 ft/s. Its height in feet after t seconds is given by y = 31 t − 23 t 2 . A. Find the average velocity for the time period beginning when t=1 and lasting .01 s: .005 s: .002 s: .001 s: NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator. Estimate the instanteneous velocity when t=1.

Answers

The average velocity for the time period is -15 feet per second

The velocity of the ball = 31 feet / seconds

The function of the height is

y = 31t - 23t^2

Time period beginning when t = 1 and lasting .01 s, .005 s, .002 s, .001 s

The average velocity = f(1.01) - f(1) / 1.01 - 1

f(t) = 31t - 23t^2

f(1.01) = 31(1.01) - 23(1.01)^2

= 31.31 - 23.46

= 7.85 feet per second

Similarly

f(1) = 31(1) - 23(1)^2

= 31 - 23

= 8 feet per second

The average velocity =  7.85 - 8 / 1.01 - 1

= -0.15 / 0.01

= -15 feet per second

Hence, the average velocity for the time period is -15 feet per second

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What is the domain and range of y=|x| ?​

Answers

Answer:

Below

Step-by-step explanation:

x values are the DOMAIN....for this equation 'x' can have any value :

 (- inf, + inf)

the y values that the function can have define the RANGE of the function. Due to the absolute value bars.....'y' can only be positive values or zero:

  [ 0 , + inf)

just read!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Angle3 and Angle6

(also, Angle4 and Angle5)

Step-by-step explanation:

Alternate interior angles are between the parallel lines and also on opposite sides of the transversal.

FILL IN THE BLANK. the ___ is the probability, assuming is true, of observing a value for the test statistic that is as extreme as or more extreme than the value actually observed

Answers

P-Value

Explanation: I just looked it up :)

What is an equation of the line that passes through the points (-2, -5) (−4,−4

Answers

Answer:

y=ax+b

a=(y2-y1) /(x2-x1) =(-4+2)/(-4+5)=-2

The equation becomes:

y=-2x+b

Substitute (-2,-5) in the equation:

-5=-2(-2)+b

b=-9

y=-2x-9

What are similarities in poems?.

Answers

Because both poems highlight the wonders of nature and the cyclical rhythm of the seasons, they are similar.

What is similarities?

The state of likeness can be referred to as a similarity. When two elements, things, ideas, or people resemble one another, they are said to be similar. Example: In terms of the number of sides, a square and a rectangle are comparable. The state of being different can be used to define a difference.

The moods and tones of two poems by the same author may be similar or dissimilar. You may, for instance, contrast and compare two poems written by the same author, such as Robert Frost's "A Prayer in Spring" and "A Late Walk." Because both poems highlight the wonders of nature and the cyclical rhythm of the seasons, they are similar. On the other hand, "A Prayer in Spring" has a joyful, lovely tone and a calm, appreciative atmosphere. On the other hand, "A Late Walk" has a gloomy, solemn tone and a downcast, pessimistic mood. Frost successfully contrasts the beauty of spring and the aridity of fall in each instance.

Look for similarities and variations in the two poems' language, style, and format. The length of each line or stanza, the meter, the rhythm, and the author's word choice should all be considered. For instance, some poets, like Dr. Seuss, favor monosyllabic words and short lines, while others, like William Wordsworth, favor polysyllabic words and lengthy lines or stanzas. Determine the level of technicality your teacher expects from your comparisons and contrasts, such as whether she wants you to talk about iambic pentameter, stressed syllables, and feet..

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A researcher at a major clinic wishes to estimate the proportion of the adult population of the united states that has sleep deprivation. what size sample should be obtained in order to be ​% confident that the sample proportion will not differ from the true proportion by more than ​%? round up to the nearest whole number.

Answers

A population proportion is estimated to be around 541.

We can use the formula for the minimal sample size required for an interval estimate of a population proportion to address the problem.

n = pq ((Z/2) / E)^2

We use the conventional p and q, which are 0.5 and 0.5, because p is not defined.

The reason for this is that, if we choose values for p and q that range from 0.1 to 0.9, we will see that this is the point at which pq reaches its greatest value.

The value of (Z/2) will then be determined. We may determine that (Z/2) = 2.326 with a 98% confidence level by looking at the Z-table. We now begin changing the values in the formula above.

n = (0.5)×(0.5) × (2.326/0.05)^2

n = 541.027

n ≅ 541.

So, population proportion is estimated to be around 541

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bernard drew a scale drawing of a campsite. the scale of the drawing was 1 inch : 5 feet. in the drawing, the tent is 3 inches long. what is the length of the actual tent?

Answers

Length of the actual tent is 15 feet.

Actual length is any distance between points that is not foreshortened by the view type.

Given that the scale of drawing is

1 inch : 5 feet

and length is 3 inches.

We have to find actual length of the tent.

Let us denote actual length of the tent by 'x'

We have by given data

3 inches : x = 1 inch : 5 feet

multiplying LHS by 3 we get,

3 : x = 3 : 15

By comparing both the sides

x = 15

Therefore the actual length of the tent is 15 feet.

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when thinking about the change model and quadrants 1-4, the lowest level of resistance to change and the highest probability of successful change will more likely occur when the .

Answers

Impact on the existing set of beliefs and values is small and the extent of the change to be introduced is relatively minor.

What is resistance?

The obstruction to current flow in an electrical circuit is measured by resistance. The Greek letter omega (Ω) represents the unit of measurement for resistance, known as ohms. Georg Simon Ohm (1784–1854), a German physicist who investigated the connection between voltage, current, and resistance, is the name given to the unit of resistance.

The movement of electrons is referred to as electric current. Consider the scenario of a person navigating a busy market and encountering difficulty moving from one shop to another to better understand resistance.

Hence,  the lowest level of resistance to change and the highest probability of successful change will more likely occur when the, impact on the existing set of beliefs and values is small and the extent of the change to be introduced is relatively minor.

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