State why simple bivariate correlations are not sufficient for establishing causation?

You need to save $62.06 each month for four years to achieve your total contribution goal before starting college.

First, 5% of the total cost for four years.

= 0.05 x ($14,895.00/yr x 4 years)

= 0.05 x $59,580.00

= $2,979.00

Second, Divide the total amount you need to pay over four years by the number of years.

= $2,979.00 / 4

= $744.75

Therefore, you need to pay $744.75 for each year of attending college.

Now, the total contribution goal.

= Amount to pay each year x 4 years

= $744.75 x 4

= $2,979.00

and, Monthly savings required

= Total contribution goal / 48 months

= $2,979.00 / 48

= $62.06

Therefore, you need to save $62.06 each month for four years to achieve your total contribution goal before starting college.

Learn more about Saving Problem here:

https://brainly.com/question/12610810

#SPJ1

The measure of <COD  and <POT are 43 and 43degrees respectively

The point where two lines meet or intersect is known as an angle:

Is <COP and angle TOD are vertical angles, this means that they are equal i.e.

Given that:

<COP = 11x - 17

<TOD = 9x + 11

Equate both expressions

11x - 17 = 9x + 11

11x - 9x = 11 + 17

2x = 28

x = 28/2

x = 14

Get <COP

<COP = 11x - 17

<COP = 11(14) - 17

<COP = 154-17

<COP = 137 degrees

Since <COP = <TOD, hence <TOD = 137 degrees

Calculate <COD:

<COD + <TOD = 180

<COD + 137 = 180

<COD = 180 - 137

<COD  = 43 degrees

Also <POT = <COD = 43degrees(vertically opposite angles)

Hence the measure of <COD  and <POT are 43 and 43degrees respectively

Learn more here: https://brainly.com/question/17247176

The main  Miguel's statement about rotating, reflecting, or translating a trapezoid to produce another trapezoid resulting in two similar trapezoids is correct.

However, his statement about dilating a trapezoid to produce another trapezoid resulting in two similar trapezoids is incorrect.


Similar figures have the same shape but not necessarily the same size. When a trapezoid is rotated, reflected, or translated, its angles and sides remain the same, and therefore, the resulting trapezoid is similar to the original.

On the other hand, when a trapezoid is dilated, its sides are stretched or shrunk by a scale factor, which changes the ratios of the sides and angles, making the resulting trapezoid not similar to the original.

Therefore, Miguel's statement about rotating, reflecting, or translating a trapezoid to produce another trapezoid resulting in two similar trapezoids is correct, while his statement about dilating a trapezoid to produce another trapezoid resulting in two similar trapezoids is incorrect.

To know more about trapezoids  visit:

brainly.com/question/8643562

#SPJ11

The test statistic-z or z-score will be 1.635.

What is test statistic-z?

A z-score, also known as a z-statistic, is a number that represents how many standard deviations above or below the mean population a z-test score is. It is essentially a numerical measurement that describes the relationship of a value to the mean of a collection of values. A z-score of 0 implies that the data point's score is the same as the mean score. A z-score of 1.0 indicates that the result is one standard deviation from the mean. Z-scores can be positive or negative, with a positive number indicating that the score is higher than the mean and a negative value indicating that it is lower than the mean.

Let p indicate the proportion of customers who are satisfied.

P=0.64

n=number of customers surveyed =125

x=number of satisfied consumers in the survey=89

p=89/125=0.71

The test statistic-z is calculated using the following formula,

z=(p-P)/√(P(1-P)/n)

=(0.71-0.64)/√0.64(1-0.64)/125

=0.07/√0.00184

=0.07/0.0428

=1.635

The test statistic-z is 1.635

To know more about z-statistic visit the link given below

https://brainly.com/question/22443207?referrer=searchResults

#SPJ4

Answer:

less than

Step-by-step explanation:

a. The rate of change is 2.25. b. It would cost $38.25 to ride 20 miles in the taxi. c. You can ride about 9.86 miles in the taxi with $20.

Using symbols and variables, a mathematical function may be represented using function notation. It includes expressing the function as f(x), where x is the independent variable or input value and f is the function's name. The symbol f(x), which may also be interpreted as "f of x," stands for "the value of the function f at the value x". We may find the value of the function f, which is the dependent variable or output value, by supplying the value of x. When a function has a complex formula or contains many variables, function notation provides a clear and practical approach to represent mathematical connections.

Given that the equation of the line is y = 1.80x +2.25.

In the given equation, 2.25 indicates the first drop on the meter or the set fare for a taxi, which is charged regardless of how far you go.

b. For x = 20 mile we have:

y = 1.80(20) + 2.25 = 36 + 2.25 = 38.25

c. Solving for x for $20 we have:

20 = 1.80x + 2.25

1.80x = 20 - 2.25

1.80x = 17.75

x = 9.8611.

Hence, it would cost $38.25 to ride 20 miles in the taxi. c. You can ride about 9.86 miles in the taxi with $20.

Learn more about function notation here:

https://brainly.com/question/20755259

#SPJ1

To solve this question, we use the combination formula.

The combination formula is

Where n represents the amount of items in the set, and r represent the amount of items we want to select from this set.

For our problem, we have

Then, the combinations are given by

Solving this we have

We have 36 combinations.

Answer:

x = 19 ft

Step-by-step explanation:

\( \frac{x}{57} = \frac{8}{24} \\ \\ \frac{x}{57} = \frac{1}{3} \\ \\ x = \frac{57}{3} \\ \\ x = 19\: ft\)

I assume the third term in the first problem should be -7x², not -7x³.

5x⁴ = 5x³•x, and

5x³ (x - 4) = 5x⁴ - 20x³

Subtract this from the dividend to get an initial remainder of

(5x⁴ - 2x³ - 7x² - 39) - (5x⁴ - 20x³) = 18x³ - 7x² - 39

Next, 18x³ = 18x²•x, and

18x² (x - 4) = 18x³ - 72x²

Subtract this from the previous remainder to get a new one of

(18x³ - 7x² - 39) - (18x³ - 72x²) = 65x² - 39

Next, 65x² = 65x•x, and

65x (x - 4) = 65x² - 260x

which gives a new remainder of

(65x² - 39) - (65x² - 260x) = 260x - 39

Next, 260x = 260•x, and

260 (x - 4) = 260x - 1040

which gives a final remainder of

(260x - 39) - (260x - 1040) = 1001

1001 does not divide x, so we're done, and we've shown that

\(\dfrac{5x^4-2x^3-7x^2-39}{x-4}=\boxed{5x^3+18x^2+65x+260+\dfrac{1001}{x-4}}\)

A similar process can be used to show

\(\dfrac{4x^4+5x-4}{x-2}=\boxed{4x^3+8x^2+16x+37+\dfrac{70}{x-2}}\)

Answer: y=0.5x+5

Step-by-step explanation:

just did it on edg

Answer:

B.

Step-by-step explanation:

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

To know more about proportional savings, refer here:

https://brainly.com/question/29251832#

#SPJ11

Answer:

perpendicular

Step-by-step explanation:

The standard form of equation of a line is expressed as y = mx+c

m is the slope

c is the intercept

For the line Y= -1/2x-11

Compare

mx = -1/2x

m = -1/2

slope = -1/2

For the equation

16x-8y=-8

Divide through by 8

2x - y = -1

- y = -2x-2

y  = 2x+2

Compare

mx = 2x

M = 2

Take the product of the slopes

Mm = -1/2 *  2

Mm = -1

Since the product of their slope is -1, hence the two lines are perpendicular

The accuracy of the computation relies on having the specific values of the point coordinates and the slope of the line. Without these values, we cannot provide a numerical answer.

To compute the angle formed by the tangents from a point in the second quadrant that is bisected by the line with a given slope, we need the specific values of the point coordinates and the slope of the line. Unfortunately, these values are not provided in the question.

However, I can provide you with the general steps to compute the angle when the necessary information is available:

1. Determine the point in the second quadrant: Let's assume the point is (x, y), where both x and y are negative since it lies in the second quadrant.

2. Find the slopes of the tangent lines: The slopes of the tangent lines can be determined using the derivative of the function representing the curve at that point. Without knowing the specific curve equation, we cannot calculate this.

3. Use the slope bisector formula: The slope bisector of the two tangent lines will have a slope that is the average of the slopes of the tangent lines. We can compute this using the formula:

  **m_bisector = (m1 + m2) / 2**

4. Find the angle of the bisector line with the given slope: Using the slope of the bisector line, we can calculate the angle it forms with a horizontal line by taking the arctangent of the slope. The angle will be in radians or degrees, depending on the unit of the arctangent function used.

Please note that the accuracy of the computation relies on having the specific values of the point coordinates and the slope of the line. Without these values, we cannot provide a numerical answer.

Learn more about accuracy here

https://brainly.com/question/4405672

#SPJ11

Answer:

k=3

Step-by-step explanation:

Answer:

you type 75 words per minute.

Step-by-step explanation:

since there are 60 minutes in an hour, simply divide 4,500 by 60 to get 75. i hope this helps you! good luck and have a great day. :)

See attachment for math work and answer.

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

rate of change is essentially slope

\(Rate Of Change = \frac{rise}{run}\)              or

\(Rate Of Change = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)          or

\(Rate Of Change = \frac{f(x_{2})- f(x_{1}) }{x_{2} -x_{1} }\)

The correct answer is B) the graph of g is a 1/3 horizontal shrink of the graph of f.

A mathematical transformation is the movement of a geometric object or function from one space to another. This new space may be a new quadrant in a Cartesian coordinate system, or it could be a whole new plane or number set. When we translate, we move a figure in any direction. When we flip a figure over a line, we call this reflection. When we rotate a figure a given amount around a point, we call this rotation. Transformations are classified into four types: translation, rotation, reflection, and dilation. Rotation, translation, and reflection are examples of stiff transformations.

Here,

The function g(x) = f(3x) is defined as the transformation of f(x) by replacing x with 3x in the argument of f. This means that each x-value of f(x) is replaced with 3 times its original value in g(x). As a result, the graph of g(x) will be a horizontal shrink of the graph of f(x) by a factor of 1/3. The horizontal axis will be compressed, making the graph appear narrower than the graph of f(x).

The correct answer is B) the graph of g is a horizontal shrink of the graph of f by a factor of 1/3.

To know more about transformation,

https://brainly.com/question/28993652

#SPJ1

The system of equation have one solution.

x² + y² = 25

x² - 6 = 0

x² = 6

x = √6

Therefore, let's substitute the value of x in equation (i)

x² + y² = 25

(√6)² + y² = 25

y² = 25 - 6

y² = 19

hence,

y = √19

Therefore, the system of equation have one solution.

learn more on equation here: https://brainly.com/question/21758204

#SPJ1

45 - [ 38 - { 60/3 - ( 6 - 3 )/3} ]

45 - [ 38 - { 60/3 - 3/3 } ]

45 - [ 38 - { 20 - 1 } ]

45 - [ 38 - 19 ]

45 - 19

=26

hope this helps....

Answer:

A’ is (-2,-3)

B’ is (-5,-3)

C’ is (2,0)

Step-by-step explanation:

We have three operations to perform;

a) translate 4 units right

means that we add 4 to the x-coordinate

b) Reflect over x-axis

If we reflect over x-axis;

(x,y) becomes (x,-y)

c) Rotate 90 degrees clockwise

(x,y) becomes (y,-x)

We have the following as the solution;

A( - 1,2)

Add 4 to x-coordinate

(3,2)

Reflect over x-axis

(3,-2)

Rotate 90 degrees clockwise

(-2,-3)

for B (-1,5)

Add 4 to x-coordinate

(3,5)

Reflect over x-axis

(3,-5)

Rotate

(-5,-3)

C; (-4,2)

Add 4 units to x-axis

(0,2)

Reflect

(0,-2)

Rotate

(2.0)

Step-by-step explanation:

XY^2=8^2+15^2 ... (Theorem of Pythagoras)

XY^2=64+225

XY^2=289

XY=17 units

Therefore:

SinX=15/17

CosX=8/17

TanX=15/8

Answer:

x = 1/2

y = 1/3

Step-by-step explanation:

6x – 3y = 2 (Multiply this by -3)

2x – 9y = -2

-18x + 9y = -6

2x – 9y = -2

-16x = -8

x = 1/2

2x – 9y = -2

2(1/2) - 9y = -2

1 - 9y = -2

-9y = -3

y = 1/3

The simplified form of the given radical expression is rational.

Exponent can be defined as the method of expressing large numbers in terms of powers. Exponent refers to how many times a number multiplied by itself. For example, 6 is multiplied by itself 4 times, i.e. 6 × 6 × 6 × 6.

We are asked to determine whether the simplified form of  2√3.√12

To solve our given problem we will use exponent property for radicals

           √m.√n = a√m.n

          2√3.√12=2√3.12

            2√3.√12=2√36

             2√3.√12=2×6

              2√√3.√12=12

The simplified form of the given radical expression is rational.

Learn more about exponent here : brainly.com/question/13669161

#SPJ1

Since our given radical expression simplifies to a rational, therefore, our answer is yes

Learn more about simplified here : brainly.com/question/432678

#SPJ1

Answer:

a 90° clockwise rotation about the origin and then a reflection a cross the x-axis

The correct sequence is  90° clockwise rotation about the origin and then a reflection a cross the x-axis.

There are two different directions of rotations, clockwise and counterclockwise: Clockwise Rotations (CW) follow the path of the hands of a clock. These rotations are denoted by negative numbers. Counterclockwise Rotations (CCW) follow the path in the opposite direction of the hands of a clock.

So, according the given transformation the point A' appears on right side then is clockwise rotation.

If it was counterclockwise rotation then point A' appears on left side.

After that is over x- axis then it is reflection across the x-axis.

Learn more about  counterclockwise rotation and clockwise rotation here:

https://brainly.com/question/1790540

#SPJ2

The correct statements about a line segment are; they connect two endpoints and they are one dimensional.

option C and D.

A line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.

The following are characteristics of line segments;

From the given options we can see that the following options are correct about a line segment;

They connect two endpoints

They are one dimensional

Learn more about line segments here: https://brainly.com/question/2437195

#SPJ1

Answer:

160.941176471

Step-by-step explanation:

Answer:

160.9411764705882

Step-by-step explanation:

Question:

Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)

B) The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth.

Answer:

A) 16.64 Feets

B) 7.65 feets

Step-by-step explanation:

Given the following :

The question above can be solved by applying Pythagoras rule :

A^2 = B^2 + C^2

PR² = PQ² + QR²

PR² = 14² + 9²

PR² = 196 + 81

PR = √277

PR = 16.64feet

Now if PR is adjusted to 16 Feets, the New height of the scaffold will be:

QR² = PR² - PQ²

QR² = 16² - 14²

QR² = 256 - 196

QR² = 60

Take the Square root of both sides

QR = √60

QR = 7.7459666 Feets

Answer:

3

Step-by-step explanation: