Data with a correlation coefficient of 0.05 has a _[blank A]_ correlation, and data with a correlation coefficient of −0.80 has a _[blank B]_ correlation.Which answers provide the words that fill in the blanks in the previous sentence, in the correct order, to make it a true statement?Select two answers. Select one answer for the blank labeled "A," and select one answer for the blank labeled "B."

Step 1- Write out the Future Value Ordinary Annuity formula:

Where,

Step 2- Write out the given values and substitute them into the formula:

Substituting the given values into the formula, we have:

Hence,

Hence, the future value is approximately:

Hence, the amount in the account in 3 years is:

$61109.00

Answer:

14,938

Step-by-step explanation:

i mean multiply it out

To do a quotient between two numbers in scientific notation we must do the usual division with the number, and subtract the exponents, for example:

Therefore, we must divide

Do the division:

Now we do the division of the exponents

Now we put it all together:

Given:

Simplify the equation,

Answer: x = 56.

For any line passing through the points (x1,y1) and (x2,y2), its slope is given by:

a = (y2 - y1)/(x2 - x1)

And its intercept is given by:

b = y1 - ax1 = y2 - ax2

And the equation of this line, in the slope-intercept form, is y = ax + b

Then, for a line passing through the points (3,4) and (-6,5), we have:

a = (5 - 4)/(-6 - 3) = -1/9

Then, the intercept is:

b = 4 + 3/9 = 13/3

Therefore, the equation of the line is given by:

y = -x/9 + 13/3

In order to find the correct answers, let's simplify the equation by calculating the square root of both sides of the equation:

Therefore the correct options are 3√7 and -3√7.

Interger numbers: are whole numbers (numbers without fractional part). Can be negtive and possitive numbers.

Whole numbers: Positive whole numbers

Rational numbers: A number that can be made by dividing two intergers. A number that can be written as a fraction

As in the given numbers not all are whole numbers it can not be intergers or whole.

All the given numbers can be written as fractions:

Then, all are rational numbers

we know that

the total surface of a cylinder is equal to

where

B us the area of the circular base

P is the circumference of the circular base

h is the height of the cylinder

we have

h=2r

so

substitute

substitute the value of h

therefore

Explanation

the y-intercept is the point where the line intersects the y-axis, it is when x=0

and

the x-intercept is the point where the line intersects the x-axis,this is when y=0

so

Step 1

y-intercept

let x=0 and replace

so, the ordered pair is ( 0,-13)

Step 2

x-intercept

let y=0 and solve for x

hence, the ordered pair is (13/5, 0)

I hope this helps you

Given:

The equation that represents the given situation is

Required:

We need to find the y-intercept of the given function.

Explanation:

The y-intercept is the intersection point where the line crosses the y-axis.

Substitute x =0 in the equation to find the y-intercept.

Divide both sides by 4.

The y-intercept is 2,800.

We know that x represents the cost of general admission and y represents the student tickets to a high school football.

We get y =2800.

This tells us that only student's attended the high school football game.​

Final answer:

The y-intercept is 2,800. This tells us that only student's attended the high school football game.​

Solve the following inequality for p. Write your answer in simplest form.

8p + 10 > -5p - 1

group terms

8p+5p > -1-10

13p > -11

p > -11/13

Observe that the given number is 67,430,000.

If we express it as a scientific notation, then we would have to move the decimal point 7 spots to the left.

So Bill and Laura like all of the choices equally. This means that the probability of each of them choosing one out of the four is the same for each options. So this probability is 1 out of 4: 1/4. So the probability of Bill choosing apple pie is 1/4 and that of Laura choosing strawberry cheesecake is also 1/4. The probability of both making those choices at the same time is given by the product of the mentioned probabilities. Then the probability we are looking for is:

Then the answer is the fourth option.

(-5, 2)

1) Solving this Linear System with the method of Addition/Elimination:

2x + 3y=-4

x + 9y = 13​ x-2 Multiply the whole equation by -2

2x +3y = -4

-2x -18y= -26

--------------------

-15y= -30

15y= 30 Divide both sides by 15

y = 2

2) Plug into the simpler equation y=2

x +9y = 13

x + 9(2) = 13

x +18 = 13

x =13-18

x= -5

3) So the answer is (-5, 2)

We will illustrate on how to find the inverse function.

First, recall that the inverse function is a function that given the output of a function, it will give you back the input out of which that output came from.

when athe function has a formula, we can follow some steps to find the inverse function. Suppose we are given the function

Now, we first change f(x) with the letter y. So we get

now, we interchange variables x and y. So we get

Finally we solve this equation for y. We will first subtract 5 on both sides and then divide both sides by 3. So we get

and now we replace the y with the symbol of the inverse function. So we have that

Given the function f(x) = x

We will find the function g(x) whose graph is produced by the following transformations on the graph of f(x)

First, The graph of f is reflected vertically

So,

Second, expanded horizontally by a factor of 2

So,

Finally, shifted right 6 units, and shifted down 4 units.

So,

Simplifying the function g(x):

The graph of the function (f) and (g) will be as shown in the following figure:

Solution;

To the describe the error on the graph;

The graph is supposed to pass through point(1/3, -1).

Answer:

I call this a simple solution because it does not involve probability distributions. It just requires simple knowledge of probability, that’s it!

The question says any 15-minute interval, so one hour can be thought of as four 15-minute intervals.

Now, the question asks the probability of seeing at least one shooting star in those four 15-minute intervals.

Such a probability is the same as the complement of the probability of not seeing any shooting star in those four 15-minute intervals.

All of those four 15-minute intervals are independent of each other. So, their combined probability is the product of the individual probabilities.

The individual probability of not seeing any shooting star in an interval of 15 minutes is 1 - 0.2 = 0.8.

So, the combined probability of not seeing any of the shooting stars in the four intervals is: 0.8 * 0.8 * 0.8 * 0.8 = 0.8⁴ = 0.4096

Now, the complement of its probability is 1 - 0.4096 = 0.5904

So, that is the answer or the probability of seeing at least one shooting star in an interval of an hour.

Step-by-step explanation:

Why?

Before diving into the Poisson process, let me explain why such a demonstration is helpful even if the problem can be solved simply.

The problems we encounter in the real-life can’t be solved by mere simple probability formulas. That is the reason more complex concepts are developed in mathematics. They help model real-life scenarios. When the scenarios are not exactly the same as the mathematical model, we do some assumptions and approximate the scenarios with mathematical models. Then, we do the modeling.

Mathematical modeling requires prior practice. To visualize the mathematical models and naturalize ourselves to such (abstract) models, good practice with the problems always helps. So, even if these problems can be solved easily using simpler methods, such problems provide us a good opportunity to practice mathematics and modeling.

Assumptions

At first, let’s see if the assumptions of the Poisson process hold here. The number of events can be counted. The occurrences of the events are independent of each other. The average rate at which the events occur can be calculated and let’s assume two events can not occur exactly at the same instant in time.

So, all the assumptions of the Poisson process hold here. That gives us the green light to move forward.

Mathematical Work

Let’s assume the rate of λ per minute. Then, the rate corresponds to 15λ per quarter.

Now, the formula for the probability distribution is:

P(X = x) = μ^x * e^-μ / x!

Before we go further, let’s understand the mathematical statement. The mathematical statement expresses the probability of seeing x events in a time period. μ is the average number of events seen in the time period. The time period can be a minute, an hour, or even a day. It can be any time period.

At first, let’s see the first statement — In any 15-minute interval, there is a 20% probability that you will see at least one shooting star.

Here, the interval is of 15 minutes. So, the average number of events in the interval is 15λ. The probability of seeing 0 events (i.e X = 0) is:

P(X = 0) = μ⁰ * e^-(15λ) / 0! = 1 / e^(15λ) — — (1)

(1) is equal to 80% as the probability of at least one event happening is 20%.

So, 1 / e^(15λ) = 0.8

or, e^(15λ) = 1.25

or, 15λ = ln(1.25) = 0.2231

=> λ = 0.0149 / min

So, the average number of events (shooting stars) is 0.0149 per minute.

Now, the average number of events in an hour is:

0.0149 * 60 = 0.8926 / hour

So, the Poisson distribution expression becomes:

P(X = x) = 0.8926^x * e^-0.8926 / x! — — (2)

Here, the time period is an hour.

Now, let’s find the probability of not having even a single event in an hour:

P(X = 0) = 0.8926⁰ * e^-0.8926 / 0! = 0.4096

So, the probability of having at least one event is the complement of the above probability.

So, P(X≥1) = 1 - P(X=0) = 1 - 0.4096 = 0.5904

Step-by-step explanation:

we have

Z1=0

Z2=-2.18

so

using the z-scores table values

We have a problem that can be solved with a system of equations.

First we need to identify the equations of the system.

We have two unknown variables, the number of adult's tickets sold and the number of children's tickets sold. Let's call them:

- number of adult's tickets sold: x

- number of children's tickets sold: y.

The total number of tickets sold, 5600, is the sum of these:

And since the prices are 27.25 (adult) and 12.00 (children), the total revenue (117311.50) will be the sum of these prices multiplyied by the number of tickets of each of them:

So, the system of equations is:

Since we want y the number of children's tickets sold, we can solve for the other varible, x, in one equation, and substitute into the other.

Solving in the first equation, we have:

And substituting into the other:

Since y is the number of children's tickets sold, then the number of children's tickets sold is 2314.

The given expression is

We will use the distributive property to solve it

Divide each term in the bracket by 10

Simplify each term

The answer in standard form is 4s + 10t

The proportion of the first row with the second row is

that is, we have the proportionality 1:2, which correspond to the pink square.

10x - 2y = -4 ==== (1)

4x + 5y = -19 ==== (2)

To solve the system we should make the coefficients of y have the same values to eliminate it, then

Multiply equation (1) by 5 and equation (2) by 2

5(10x) - 5(2y) = 5(-4)

50x - 10y = -20 ===== (3)

2(4x) + 2(5y) = 2(-19)

8x + 10y = -38 ===== (4)

Now add equations (3) and (4) to eliminate y

(50x+8x) + (-10y + 10y) = (-20 + -38)

58x + 0 = -58

58x = -58

Divide both sides by 58 to find x

x = -1

Substitute the value of x in equation (1) or (2) to find the value of y

4(-1) + 5y = -19

-4 + 5y = -19

Add 4 to both sides

-4 + 4 + 5y = -19 + 4

0 + 5y = -15

5y = -15

Divide both sides by 5 to find y

y = -3

The solution of the system is (-1, -3)

SOLUTION:

Step 1:

In this question, we have the following:

Step 2:

Given:

To convert a rectangular equation to polar forma, we use

In the equation x=18, we only have x, so

Given the functions below

We are to find (fg)(-x)

SOLUTION

First of all, we have to get (fg)(x)

Expand the function

Let us now solve for (fg)(-7)

Hence,

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following equation:

We solve for T:

Therefore, the correct answer is option 2.

The intercept on the equation of line is represented by c, where the equation of line is y = mx + c

Now, ( 2,2 ) means x=2, y=2 , the slope is m which is -3/2 ( from the question )

Hence, substitute all into the equation of line to find c

Recall, equation y = mx + c

Hence, we say that the intercept of the slope C is 5

The equation form is y = -3/2 x + 5 ( since m = -3/2 and c = 5 )

Using simple mathematical operations, the funding for 3 years is:

So, let the funding in 1995 be 'x'.

Now, the equation will be formed as:

Hence,

Therefore, using simple mathematical operations, the funding for 3 years is:

Know more about mathematical operations here:

https://brainly.com/question/28937023

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The given system is

We can multiply the first equation by 8, then we sum and solve for x.

Then we, solve for x.

Now we use this value to find y.