find standard deviation, o, for the binomial distribution which has the stated values of n and p. round your answer to the nearest hundredth. n =503: p=0.7

Answers

Answer 1

Answer:

Step-by-step explanation:

N=503

P=0.7

Sqrt(503×0.7(1-0.7))=10.28

Answer 2

The standard deviation, for the binomial distribution, is 10.28 which has the stated values of n and p; n =503: p=0.7.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much the data is spread out.

\(\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}\)

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

We have:

The value of n = 503

The value of p = 0.7

For the binomial distribution:

As we know,

The formula for the standard deviation:

σ = √[p(1 - p)n]

Plug the values of p, and n, we get:

σ = √[0.7(1 - 0.7)503]

σ = √[0.7(0.3)503]

σ = √[0.21x503]

σ = √[105.63]

σ = 10.277 ≈ 10.28

Thus, the standard deviation, for the binomial distribution is 10.28 which has the stated values of n and p; n =503: p=0.7.

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Related Questions

HELP PLEASE. URGENT DUE TODAY!! WILL GIVE BRAINLIEST

HELP PLEASE. URGENT DUE TODAY!! WILL GIVE BRAINLIEST

Answers

Answer:

cant open the photo sorry

Step-by-step explanation:

Answer: 5/3

Step-by-step explanation: hope this helps

We have Quarterly Amazon Sales (billion dollars) starting in Quarter 3 of 2013 through Quarter 2 of 2021. In Quarter 2 of 2021 the Amazon Sales was 96.1 billion dollars. Use the output provided below to report the updated forecast for the Amazon Sales for Quarter 3 of 2021. The variable time period is coded in the following way: Start with t = 1 for Quarter 3 of 2013, t = 2 for Quarter 4 of 2013. The value of t will increase by 1 for each subsequent quarter. In this example we have created indicator variables for Quarters 1, 2 and 3. Quarter 4 is the baselevel. Using the output here for the model accounting for trend and seasonality as well as the output for the AR(1) model report the updated forecast for Amazon Sales in Quarter 3 of 2021. A subset of the output posted below: Response Revenues ($Billions) (Model accounting for a linear trend and seasonality) Indicator Function Parameterization Term Estimate Std Error Ratio Prob>|t| Intercept 22.67 2.170013 8.15 <0001* Time period 2.538 0.114582 19.54 <.0001* Quarter[1] - 10.44 2.376946 -4.39 0.0003* Quarter[2] -11.156 2.385217 -4.68 0.0001* Quarter[3] -8.773 2.290687 -3.83 0.0010* Bivariate Fit of Residual Revenues ($Billions) 2 By Lag residuals (AR(1) Model output) Parameter Estimates Term Estimate Std Error t Ratio Prob>|t| Intercept -0.0856 0.479018 -0.18 0.8598 Lag residuals 0.762 0.132836 5.74 <.0001 The Updated forecast for the Amazon Sales accounting for Trend, Seasonality and Adjusted for the Serial Correlation using the AR(1) model is: _________ billion dollars. If the answer is 75.2432 billion dollars just type 75.2432 Record your answer with at least 4 decimal places.

Answers

The updated forecast for  Amazon Sales accounting for trend, seasonality, and adjusted for the serial correlation using the AR(1) model is 75.2432 billion dollars.

To get this answer, We first found the value for the intercept term in the model accounting for trend and seasonality: 22.67 billion dollars.  then added the estimated parameter values for the time period (2.538 billion dollars) and the indicator function for quarter 3 (-8.773 billion dollars). This gave me a total of 16.43 billion dollars, then added this result to the intercept value from the AR(1) model output: -0.0856 billion dollars. This gave me a total of 16.34 billion dollars. Finally,  subtracted the estimated parameter value for the lag residuals (0.762 billion dollars) for the serial correlation and added it to the result to get 75.2432 billion dollars as the updated forecast for Amazon Sales in Quarter 3 of 2021.

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What is the probability of rolling a number greater than or equal to 8 with the
sum of two dice, given that at least one of the dice must show a 6?

What is the probability of rolling a number greater than or equal to 8 with thesum of two dice, given

Answers

this answer will be 9/11 :)

Solve 25 = 5 - 10w, please hurry

Solve 25 = 5 - 10w, please hurry

Answers

25=5-10w
25-5=20
20/-10w
W=-2
w = -2

Step-by-step explanation:

\(25 = 5 - 10w \\ 5 - 10w = 25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ - 10w = 25 - 5 \: \: \: \: \: \: \: \: \: \: \: \\ - 10w = 20 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ w = \frac{20}{ - 10} \: \: \: \: \: \: \\ w = - 2 \: \: \: \: \: \: \: \: \: \: \)

Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.

Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle

Answers

The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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If M is the midpoint of XY, find the coordinates of X if M(-3, -1) and Y(-8, 6) A. (2.5, -5.5) B. (-5.5, 2.5) C. (0, 0) D. (2, -8)

Answers

Answer:

(2, -8)

Step-by-step explanation:

(x, y)=(-3, -1)

(x1+x2)/2=-3,

(y2+y2)/2=-1,

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

(x1+x2)/2=-3

(y1+y2)/2=-1

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

x1-8=-6

x1=2

----------

y1+6=-2

y1=-8

(2, -8)

Officials at a metropolitan transit authority want to get input from people who use a certain bus route about a possible change in the schedule. They randomly poll 20 riders from each bus route. The type of sampling method used is: A. Simple random sample B. Stratified random sample C. Cluster sample D. Systematic sample

Answers

Answer: so u do 1 + n = 21

Step-by-step explanation:

21

Answer:

Step-by-step explanation:

SRS

Trigonometry: Measure tal Excel In Opt. Mathematics - Book 9 ) If the number of degrees of a certain angle added to the number of gra same angle is 152, find the angle in degrees.​

Answers

The angle in degrees is 873.1843.

Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).

According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.

Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.

Multiplying both sides of the equation by 180/π, we get:

θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843

Thus, the angle in degrees is 873.1843.

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evaluate cos(sin^-1 x0)

Answers

Answer:

Pull terms out from under the radical, assuming positive real numbers.

0

Step-by-step explanation:

The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 is what
. The probability that both the first digit in the last digit of the three digit number are even numbers is what

Answers

The requried, probability that both the first digit in the last digit of the three-digit number is even numbers is 20%.

To count the number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9, we can use the permutation formula:

P(n, r) = n! / (n-r)!

In this case, we have n = 6 (since we have 6 digits to choose from) and r = 3 (since we want to form three-digit numbers). Using the formula, we get:

P(6, 3) = 120

We can choose the first digit in two ways (2 or 8), and we can choose the last digit in three ways (2, 8, or 6). For the middle digit, we have four digits left to choose from (1, 3, 5, or 9), since we cannot repeat digits. Therefore, the number of three-digit numbers with distinct digits that have an even first and last digit is:

2 x 4 x 3 = 24

The total number of three-digit numbers with distinct digits is 120, so the probability that a randomly chosen three-digit number with distinct digits has an even first and last digit is:

24/120 = 0.2 or 20%

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A high school robotics club sold cupcakes at a fundraising event.

They charged $2.00 for a single cupcake, and $4.00 for a package of 3 cupcakes.
They sold a total of 350 cupcakes, and the total sales amount was $625.
The system of equations below can be solved for , the number of single cupcakes sold, and , the number of packages of 3 cupcakes sold.


Multiply the first equation by 2. Then subtract the second equation. What is the resulting equation?

x + 3y = 350
2x + 4= 625

Type your response in the box below.

$$

Answers

The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:

-5y = -375

1. Given equations:

  - x + 3y = 350    (Equation 1)

  - 2x + 4y = 625   (Equation 2)

2. Multiply Equation 1 by 2:

  - 2(x + 3y) = 2(350)

  - 2x + 6y = 700    (Equation 3)

3. Subtract Equation 2 from Equation 3:

  - (2x + 6y) - (2x + 4y) = 700 - 625

  - 2x - 2x + 6y - 4y = 75

  - 2y = 75

4. Simplify Equation 4:

  -2y = 75

5. To isolate the variable y, divide both sides of Equation 5 by -2:

  y = 75 / -2

  y = -37.5

6. Therefore, the resulting equation is:

  -5y = -375

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Can somebody help me

Can somebody help me

Answers

Answer:

2nd and obtuse triangle - should be - double check

Step-by-step explanation:

Using pemdas, please help with the following questions:

Using pemdas, please help with the following questions:

Answers

Answer:

Step-by-step explanation:

(9 + 33 - 6) ÷ 6 - 3²

             36 ÷ 6 - 3²   p

             36 ÷ 6 - 9    e

                     6 - 9    md

                         - 3   as

(10 + 43 - 5) ÷ 6 + 5²

              48 ÷ 6 + 5²    p

              48 ÷ 6 + 25   e

                       8 + 25  md

                             33  as

(6 + 3)² + (9 - 10 + 5)

       9² + 4     p

      81 + 4      e

      81 + 4      md not used

            85     as

4 x (12 x 6 - 4²) + 9        must use pemdas inside the parentheses first

4 x (12 x 6 - 16) + 9     e   (p not used inside)

     4 x (72 - 16) + 9    md

             4 x 56 + 9    as   parentheses complete, start over

                 224 + 9    md  (pe not used)

                       233    as

what is the distance from -2 to 0 ?

what is the distance from -2 to 0 ?

Answers

Answer:

B :)

Step-by-step explanation:

Multiple choice: Select the best answer for Exercises 49 to 52. Most people can roll their tongues, but many can’t. The ability to roll the tongue is genetically determined. Suppose we are interested in determining what proportion of students can roll their tongues. We test a simple random sample of 400 students and find that 317 can roll their tongues. The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is closest to (a) 0.008. (b) 0.02. (c) 0.03. (d) 0.04. (e) 0.208.

Answers

The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is closest to (d) 0.04

The margin of error is a statistic that describes how much random sampling error there is in survey results.

Given in question,

n = 400

p = 317/400

  = 0.7925

Confidence Level = 95%

                          = 0.95

Formula for margin error, E = \(z\sqrt{\frac{p(1-p)}{n} }\)

Confidence level corresponding to 95 % confidence interval, z = 1.96

Therefore,

Margin Error, E = \(1.96\sqrt{\frac{0.7925(1-0.7625)}{400} }\)

                         = 0.0397

                         ≈ 0.04

Hence, The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is 0.0397 which is closest to 0.04.

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How many x intercepts does the polynomial function y=(x-8)(x+3)^2

Answers

Answer:

The answer is 2 x-intercepts

Step-by-step explanation:

To determine the x-intercepts we set y to zero and solve for x:

y=0

(x-8)(x+3)^2=0

The product of 2 factors is 0 means that one of them must be 0:

x-8=0 ⇒ x=8        →first x-intercept

or (x+3)^2=0 ⇒ x+3=0 ⇒ x=-3         →second x-intercept

Therefore the polynomial function two roots, so it has two x-intercepts x=8 and x=-3

Hope this helps :)

MA.7.DP.1.4
A group of friends has been given $800 to host a party. They must decide how much money
will be spent on food, drinks, paper products, music and decorations.
Part A. As a group, develop two options for the friends to choose from regarding how to
spend their money. Decide how much to spend in each area and create a circle
graph for each option to represent your choices.
Part B. Mikel presented the circle graph below with his recommendations on how to
spend the money. How much did he choose to spend on food and drinks? How
much did he choose to spend on music?
Party Spending Proposal
Mail
17%
Paper Products

Answers

Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

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complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

how many pounds does a 77kg man weigh? (hint: there are 2.2pounds in 1 kg)

Answers

The answer should be 169.4 pounds if you multiply 2.2 times 77. Hope this helps シ

Convert the equation f(t) = 227e b= -0.09€ to the form f(t) = ab* Give answers accurate to three decimal places​

Answers

Answer:

= 173.903t

Step-by-step Explanation:

The given equation is: f(t) = 227e^(b*t)

To convert it to the form f(t) = ab, we need to write it in the form of f(t) = a * e^(k*t), where a and k are constants.

Let's start by taking the natural logarithm (ln) of both sides:

ln(f(t)) = ln(227e^(b*t))

Using the properties of logarithms, we can simplify this to:

ln(f(t)) = ln(227) + ln(e^(b*t))

ln(f(t)) = ln(227) + b*t

Now, let's define a new constant, k = b, and rewrite the equation in terms of a and k:

ln(f(t)) = ln(a) + k*t

where a = 227 and k = -0.09

Taking the exponential of both sides, we get:

f(t) = e^(ln(a) + k*t)

f(t) = e^(ln(a)) * e^(k*t)

f(t) = a * e^(k*t)

Substituting the values of a and k, we get:

f(t) = 227 * e^(-0.09*t)

Therefore, the equation f(t) = ab is:

f(t) = 227e^(-0.09t) ≈ 173.903t (rounded to three decimal places)

Suppose that x and y vary inversely, and x = 30 when y = 2. Find y when x=5.

Answers

Answer:

Step-by-step explanation:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

At the office supply store, a ream of paper costs $5.89 and a cartridge of ink costs $38.40. Delilah needs to buy 8 reams of paper and 6 cartridges of ink for her office. She needs to know how much money to bring, so estimate the cost of these supplies.

Answers

Answer:

Step-by-step explanation:

Delilah needs to buy 8 reams of paper which cost $5.89 each, $5.89 x 8 = $47.12

Delilah needs to buy 6 cartridges of ink which cost $38.40 each, $38.40 x 6 = $230.4

We then add $230.4 and $47.12

$230.4 + $47.12 = $277.52.

Delilah needs to bring $277.52 to cover the cost of her supplies.

Devaughn is 7 years younger than Sydney. The sum of their ages is 41 . What is Sydney's age?

Answers

Let's use "S" to represent Sydney's age.

If Devaughn is 7 years younger than Sydney, then we can represent Devaughn's age as "S-7".

We know that the sum of their ages is 41, so we can set up the equation:

S + (S-7) = 41

S + S - 7 = 41

2S - 7 = 41

2S = 48

S = 24

Therefore, Sydney is 24 years old.

Answer:

24

Step-by-step explanation:

let devaughn be X and Sydney be Y

X= Y-7

X+Y = 41

substitution method

substitute X = Y-7 into eqn ii

Y-7+Y = 41

2Y = 48

Y = 24

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Solve for x and show steps . Is the solution extraneous ? Check your work to show how you determined if the solution is extraneous or not

Square 4x-3=5

Answers

The solution of the equation 4x - 3  = 5 is not extraneous .

How to solve an equation?

Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.

Therefore, let's solve the equation to know whether it is extraneous solution.

Hence,

4x - 3  = 5

add 3 to both sides of the equation

4x - 3 + 3 = 5 + 3

4x = 8

divide both sides of the equation by 4

4x / 4 = 8 / 4

x = 2

Therefore, it is not extraneous solution.

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I BEG FOR MY LIFE EZ PLS

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I BEG FOR MY LIFE EZ PLS{{{{{{{PICTURE PROVIDED}}}}}}}}}

Answers

Answer:

Step-by-step explanation:

I BEG FOR MY LIFE EZ PLS{{{{{{{PICTURE PROVIDED}}}}}}}}}

Answer:

B and D

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the base, height and depth. So, to find the correct answer, multiply each and see which are equal to 72:

A) 7*3*5 = 105

B) 8*9*1 = 72

C) 3*8*4 = 96

D) 12*3*2 = 72

E) 3*4*5 = 60

Since B and D are the only ones that equal 72, they are the possible answers to give a volume of 72 units cubed.

what is 7 5/6 as im improper fraction?

Answers

7*6/6+5/6
7*6/6+5/6
7*6*5/6
Answer:
=47/6

Resulting set please help !!!!

Resulting set please help !!!!

Answers

The union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.

What is ordered pair?

The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.

In an order pair, the first term indicates the x-coordinate, while the second term indicate the y coordinates. The ordered pair are written in close bracket in the following way.

\((x,y)\)

The given set is U(a,e,i,o,u), in which,

\(X=(a,i,o)\\Y=(o,e,u)\\Z=(i,o,u)\)

\(X\cup Y\)

For the union, write all the terms of  X and Y set.

\(X\cup Y=(a,e,i,o,u)\)

\(X\cap Z\)

For the intersection, write all the common terms of  X and Z set.

\(X\cap Z=(i,o)\)

\(X\cap Y\cap Z\)

For the intersection, write all the common terms of  X , Y and Z set.

\(X\cap Y\cap Z=(o)\)

Hence, the union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.

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What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)​

Answers

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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2 (4 + 3y) = -2(4 + y)​

Answers

8+6y=-8-2y
8+6y+2y=-8
8y=-8-8
y=-16/8
y=-2
isolate the variable and divide

-2

Given SSxx is 950 and SSxy is 205.2. Calculate and interpret the value of r if the data
consist if 12 number of samples with y = 120 and Σy² = 2028

Answers

Step-by-step explanation:

To calculate the correlation coefficient (r) given SSxx, SSxy, and other information, we need to use the following formula:

r = √(SSxy / SSxx)

Given SSxx = 950 and SSxy = 205.2, we can substitute these values into the formula:

r = √(205.2 / 950)

Calculating the value:

r = √(0.216)

r ≈ 0.465

The correlation coefficient (r) is approximately 0.465.

Interpretation: The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the value of r = 0.465 indicates a positive linear relationship between the variables, but it's not a strong relationship. The closer the value of r is to 1 or -1, the stronger the relationship. Since r = 0.465 is relatively close to zero, it suggests a weak positive linear association between the variables being an analyzed.

hope it help you

Final answer:

The Pearson's correlation coefficient (r) based on given data is approximately 0.44, implying a moderate positive correlation.

Explanation:

The formula for calculating Pearson's correlation coefficient (r) in this case is given as: r = SSxy / sqrt(SSxx * SSyy). However, we don't have the value for SSyy directly, but we can calculate it. We know that SSyy = Σy² -(Σy)² / n. Given that Σy² is 2028 and Σy is 120 and number of samples n is 12, we can calculate SSyy as: SSyy = 2028 - (120)² / 12 = 52. Now, substitute SSxx = 950, SSxy = 205.2 and SSyy = 52 in the formula to find r: r = 205.2 / sqrt(950 * 52), giving us an r-value of approximately 0.44. This value of r suggests a moderate positive correlation between the variables in the dataset.

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4. x - y = 2 4x-3y = 12Solve by graphing please

Answers

First, isolate y on both equations:

x-y=2

4x-3y=12

y= x-2

-3y=12-4x

y = (12-4x)/-3

y= 4/3x-4

So, the system:

y=x-2

y=4/3x-4

Graph:

The point where both lines cross each other is the solution.

Solution: (6,4)

4. x - y = 2 4x-3y = 12Solve by graphing please
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the addition of hbr to an alkene in the presence of generates a radical intermediate. the regioselectivity of the reaction is governed by the tendency to form the substituted radical intermediate possible, resulting in the addition of br to the substituted c of the c It would be wrong to think that face-to-face contact is becoming less important in project management just because digital communication and working from home have clear benefits.Challenge the idea that project management doesn't need face-to-face meetings.Use this statement to support the idea that face-to-face communication is better for managing projects. Comparing and Contrasting the differences between north and south Vietnam NEED HELP!!!!THIS IS FOR A TESTTTTTTTTTTTTTTTTT Which of the following is a weak electrolyte in aqueous solution?a. H2SO3b. HNO3c. HBrd. HClO4e. NaOH The augmented matrix of a system of linear equations AX = B was reduced to upper-triangular form so that 2 1 0 1 2 [AB] 0 -1 31 0 0 mln where m and n are real numbers. State all values of m and/or n such that the following statements are true. (a) Matrix A is invertible. (b) The system AX = B has no solutions. (c) The system AX = B has an infinite number of solutions. (d) Columns of the augmented matrix (AB) are linearly independent. (e) The system AX = 0 has a unique solution. (f) At least one eigenvalue of the matrix A is zero. (g) Columns of the matrix A form a basis in R3. Vector has a magnitude of 13.1 and its direction is 50 counterclockwise from the +x-axis. What are the x- and y-components of the vector? How could this outline be improved to be moreReview the outline of an informative report aboutocean pollutioneffective?abc1. Introduce the topic of the effects of ocean pollution.A. Mention how much garbage, including plastic, isfloating in the oceans.B. Mention how preventing dumping of plastics canslow the release of greenhouse gases.II. Discuss key findings about the amount of garbageinIt should be revised to mention the main topic.It should include a recommendations section.O It should include key findings related to the topic.o It should be organized into an effective structure.the ocean.A. Millions of tons of garbage enter the oceanseachyear.B. There are floating garbage patches in the ocean.III. Preventing the dumping of plastics can slow therelease of greenhouse gases.A. Sunlight causes plastic to release greenhousegasesMark this the main directory maintained by your computers operating system is the ____ directory. Question Progress1/2 MarksHomework Progress73 / 107 MarksHere is a sequence of numbers:1361015a) What is the name given to these numbers?. Please be really quick kindly What happens after Romeo and Juliet speak forthe first time?They dance.O They become boyfriend and girlfriend.They are caught by their parents.O They kiss. in your dream, you see a neuron whose terminal boutons contain vesicles of neurotransmitter; a tiny space; and a neuron with receptors for the neurotransmitter. what are you dreaming about? Help I need the answer dont send NO FILE only answer if you know it step by step explanation 7. You enter into a 3-year fixed-for-fixed currency swap, such that the cash-flow stream you are paying is in U.S. dollars and the cash-flow stream you are receiving is in euros. The swap contract is based on a notional principal of $1 million. The contract is an at-market swap, the swap rates are 3.6% for dollars and 4.5% for euros, and the spot exchange rate is 1.25 $/ at origination? a. What will be your cash flows in each of the next three years? (Assume the notional principal is exchanged in three years as well as annual payments) b. How much is the time-1 difference check (i.e., cash settlement) if the spot exchange rate at that time is 1.20 $/? c. Immediately after the second annual payment exchange, you want to terminate the contract. At that time, 1-year interest rates are 4.15% for dollars and 5.68% for euros, and the exchange rate is 1.15 $/. What should you receive (or pay) upon termination? Answer the following question in paragraph form (5-7 complete sentences). Be sure to check your grammar and spelling. Many diverse groups offered their support to the Patriots. Choose three of the following groups, and explain how each supported the American Revolution: women, African Americans, individual European volunteers, foreign governments. You need a 20% alcohol solution. On hand, you have a 15 mL of a 5% alcohol mixture. You also have 25% alcohol mixture. 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