HELP MEE NOWW PLEASEEEEEEEE

The values of r with the accompanying scatterplots are:
r = -0.359, weak negative linear relationship ; r = 0.714, strong positive linear relationship ; r = 0, no relationship
r = 1, perfect positive linear relationship.

Scatterplots are diagrams used in statistics to show the relationship between two sets of data. The scatterplot graphs pairs of numerical data that can be used to measure the value of a dependent variable (Y) based on the value of an independent variable (X).

The strength of the relationship between two variables in a scatterplot is measured by the correlation coefficient "r". The correlation coefficient "r" takes values between -1 and +1.

A value of -1 indicates that there is a perfect negative linear relationship between two variables, 0 indicates that there is no relationship between two variables, and +1 indicates that there is a perfect positive linear relationship between two variables.

Match these values of r with the accompanying scatterplots: -0.359, 0.714, 0, and 1.

For the value of r = -0.359, there is a weak negative linear relationship between two variables. This means that as one variable increases, the other variable decreases.

For the value of r = 0.714, there is a strong positive linear relationship between two variables. This means that as one variable increases, the other variable also increases.

For the value of r = 0, there is no relationship between two variables. This means that there is no pattern or trend in the data.

For the value of r = 1, there is a perfect positive linear relationship between two variables. This means that as one variable increases, the other variable also increases in a predictable way.

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Answer:

2. b) New amount = £6200

Same ratio → Jon : Bon = 3 : 7

6200 ÷ (3 + 7) = 620

⇒ 620 × 3 : 620 × 7

⇒ 1860 : 4340

Jon = £1860

Bon = £4340

3.

  Tom : Thom : Thomas

= 2 : 3 : 5

= 2x: 3x : 5x

Given Tom received £2400:

⇒ 2x = 2400

⇒ x = 1200

   2x: 3x : 5x

⇒ (2 × 1200) : (3 × 1200) : (5 × 1200)

⇒ 2400 : 3600 : 6000

Tom = £2400

Thom = £3600

Thomas = £6000

4.

  cats : dogs

= 1 : 5

= 1x : 5x

Given there are 8 cats:

⇒ 1x = 8

⇒ x = 8

   1x : 5x

⇒ (1 × 8) : (5 × 8)

⇒ 8 : 40

Therefore, there are 40 dogs

The answer of the question based on population growth is , the estimated population after one year is approximately 34 deer.

To estimate the population after one year, we can use the formula for exponential growth:

P = P0 * (1 + r)^t.

P0 represents the initial population (20 deer in this case), r represents the growth rate (70% or 0.7 as a decimal), and t represents the time period in years (1 year in this case).

Using these values, we can calculate the population after one year as follows:

P = 20 * (1 + 0.7)¹
P = 20 * 1.7
P ≈ 34

Therefore, the estimated population after one year is approximately 34 deer.

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Answer:

1

Step-by-step explanation:

1/2x1x2

1

Based on the information provided, the two whose is 101 are 1010 and 1313.

?

The is the highest common factor or in other words, the highest by which two numbers can be divided. Let's start by listing the four digits that can be the related to 101.

101 x 10 = 1010

101 x 11 = 1111

101 x 12 = 1212

101 x 13 = 1313

Now, from these numbers, there are two numbers whose difference is

1313 - 1010 = 303

Based on this, the two numbers are and

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Find two numbers whose difference is 303, hcf is 101 and are 4 digits long.

Start by writing down two 4-digit numbers that have a difference of 303. The two numbers should be close together, but not the same number. For example, you could choose 9801 and 9498.

Next, find the factors of each number. For 9801, the factors are 3 x 3 x 11 x 101 and for 9498 the factors are 2 x 7 x 13 x 101.

Now, find the Highest Common Factor (HCF) of the two numbers. To do this, you can look at the factors of both numbers and find which ones are the same. In this case, the HCF is 101.

Finally, check if the difference between the two numbers is still 303. As 9801-9498 = 303, this is correct. Therefore, 9801 and 9498 are the smallest pair of 4-digit numbers with a difference of 303 and an HCF of 101.

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To find the slope of the line, we need to use the formula:

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

where (x1, y1) is the given point (3, -2) and (x2, y2) is any point on the line that we can choose. Since we know that the line passes through the x-intercept, we can choose the point (5, 0) which lies on the x-axis and has a y-coordinate of 0.

slope = (0 - (-2))/(5 - 3) = 2/5

Therefore, the slope of the line is 2/5.

To find the equation of the line, we can use the point-slope form of a line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point.

Substituting the values we get:

y - (-2) = (2/5)(x - 3)

y + 2 = (2/5)x - (6/5)

y = (2/5)x - (16/5)

Therefore, the equation of the line is y = (2/5)x - (16/5).

To find the coordinate of the point at which the line intersects the y-axis, we need to set x = 0 in the equation of the line:

y = (2/5)(0) - (16/5) = -16/5

Therefore, the line intersects the y-axis at the point (0, -16/5).

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Answer:

x = 7 √3 km

Step-by-step explanation:

Here, we want to get the value of x

As we can see, we have a right angled triangle with hypotenuse 14 km

we can use the Pythagoras’ theorem to get the value of x

Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides

Thus,

14^2 = x^2 + 7^2

x^2 = 196-49

x^2 = 147

x = 7 √3 km

The order entry cost associated with a manual order with 10 line items is $16.80.

The order entry cost associated with a manual customer order with 10 line items can be calculated by adding the time it takes to enter basic customer information with the time it takes to enter each line item.

First, we need to calculate the time it takes to enter basic customer information. Since it takes an order entry employee about 0.1 hour to enter the basic customer information for a manual customer order, we can multiply 0.1 by the number of employees needed to enter the information. In this case, we assume one employee is needed to enter the basic information.

0.1 hour x 1 employee = 0.1 hour

Next, we need to calculate the time it takes to enter each line item. Since manual orders require an operator to spend an additional 0.02 hour to enter each line item on the order, we can multiply 0.02 by the number of line items.

0.02 hour x 10 line items = 0.2 hour

Now we can add the time it takes to enter basic customer information with the time it takes to enter each line item.

0.1 hour + 0.2 hour = 0.3 hour

Finally, we can calculate the order entry cost by multiplying the total time by the rate per hour of each order entry employee.

0.3 hour x $56.00 per hour = $16.80

Therefore, the order entry cost associated with a manual order with 10 line items is $16.80.

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Answer:

Avoid histograms with small bin widths that group data into lots of bins. A histogram constructed with small bin widths will show the distribution as a “pancake.” so no it does not help us see the pattern in the data.

Step-by-step explanation:

Answer: Maricopa Success invested $13,350 in CDs, $38,350 in bonds, and $23,300 in stocks.

Step-by-step explanation:

Let x be the amount invested in CDs.

Then, the amount invested in bonds would be (x + $25,000) and the amount invested in stocks would be ($75,000 - x - (x + $25,000)) = ($50,000 - 2x).

The annual income from the investments is $4,142.5, so we can set up the following equation:

0.0375x + 0.038(x + $25,000) + 0.103($50,000 - 2x) = $4,142.5

Simplifying the equation, we get:

0.0755x + $5,150 = $4,142.5

0.0755x = -$1,007.5

x = -$1,007.5 / 0.0755

x = $13,350

Therefore, the amount invested in CDs is $13,350.

The amount invested in bonds is $13,350 + $25,000 = $38,350.

The amount invested in stocks is $75,000 - $13,350 - $38,350 = $23,300.

So, Maricopa Success invested $13,350 in CDs, $38,350 in bonds, and $23,300 in stocks.

The equation for the indifference curve using the values A=4, alpha=2/5, and beta=3/5 is \(Y=4*(X^(2/5))*(Z^(3/5)).\)

The equation for the indifference curve represents combinations of two goods, X and Z, that provide the same level of utility or satisfaction to an individual. In this case, the values provided are A=4, alpha=2/5, and beta=3/5.

The general form of the equation for the indifference curve is given by \(Y=A*(X^alpha)*(Z^beta)\), where Y represents the level of utility, X represents the quantity of good X consumed, and Z represents the quantity of good Z consumed.

By substituting the given values, the equation for the indifference curve becomes \(Y=4*(X^(2/5))*(Z^(3/5))\). This equation shows that the level of utility, Y, is determined by the quantities of goods X and Z, with X raised to the power of 2/5 and Z raised to the power of 3/5, and multiplied by the scaling factor A=4.

Therefore, the equation for the indifference curve is \(Y=4*(X^(2/5))*(Z^(3/5))\) based on the provided values of A, alpha, and beta.

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The value of the profitability index of the project is 2.381.

We know that the growth rate is 4% and the cash flow is $3.7 million, so we can calculate the present value of all future cash flows as follows;

PV of all subsequent cash flows = 3.7 million * (1 + 0.04) / (0.11 - 0.04) = $68.1333 million

Total PV = PV of first-year cash flow + PV of all subsequent cash flows = $3.3154 million + $68.1333 million = $71.4487 million

Finally, we can calculate the profitability index as;

Profitability index = PV of future cash flows / Initial investment = $71.4487 million / $30 million = 2.381

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The polynomial 6x² - 2x + 4 + 3x in standard form is: C) 6x² + x + 4 - 2x

What is polynomial ?

In mathematics, a polynomial is a function of the form:

P(x) = anxn + an-1xn-1 + ... + a1x + a0

where x is the variable, the coefficients an, an-1, ..., a1, a0 are constants, and n is a non-negative integer that represents the degree of the polynomial. The degree of the polynomial is the highest power of the variable x in the polynomial.

According to the question:
To arrange 6x² - 2x + 4 + 3x in standard form, we need to write the polynomial in descending order of degree, meaning the term with the highest power of x comes first, followed by the term with the next highest power of x, and so on. So, we need to combine the like terms and rearrange the polynomial.

6x² - 2x + 4 + 3x = 6x² + (3x - 2x) + 4 (rearranging the terms)

= 6x² + x + 4

So, the polynomial 6x² - 2x + 4 + 3x in standard form is:

C) 6x² + x + 4 - 2x


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The interest rate is 10.89%

1. Given,С = 200+ 0.69YI = 80 - 1,000rG = 20NX = 850.09ee = 90M = 115YL = 0.5Y - 200rY = 300Using the equation for National Saving, we get,National Saving = Investment + Government Saving + Net exports(S – I) + (T – G) + (X – M) = 0T = 0, hence (S – I) + (X – M) = 0(1 – t)Y – C – (I + G) + NX = 0Where t = 0, we get,0.5Y – 200r – 200 – 69/100Y + 80 – 850.09e = 0.5Y – 200r – 970.09e – 120 = 0.5Y – 200r – 970.09e – 120 = 0Therefore, Y = 325.0454 - 0.5r + 4.851eThis is the equation for the IS curve.On the other hand, the equation for the LM curve is given by,Ms / P = YL(i)115 / 1 = 0.5Y - 200rTherefore, Y = 400 + 400rThis is the equation for the LM curve.The interest rate is given by the point of intersection of the two curves. Equating Y from both equations, we get,325.0454 - 0.5r + 4.851e = 400 + 400rSolving the above equation for r, we get r = 0.1089 or 10.89%..

The size of the nominal money supply in the new short-run equilibrium is 121.07.

2. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate.Flexible Exchange Rates:In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output.Real exchange rate will fall.Increase in output will be higher compared to the fixed exchange rate case.Fixed Exchange Rates:In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.Real exchange rate will remain unchanged.Increase in output will be less compared to the flexible exchange rate case.The nominal money supply in the new short-run equilibrium will change in the case of Fixed Exchange Rates. In the fixed exchange rate case, the domestic interest rate will increase, leading to an inflow of capital. This will increase the money supply and the LM curve will shift downwards until it intersects the IS curve at the new equilibrium point.

Real exchange rate will remain unchanged.

3. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate. Flexible Exchange Rates :In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output .Real exchange rate will fall. Value of the real exchange rate in the new equilibrium is 0.891.Fixed Exchange Rates: In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.

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Answer:

x=97/2 or x=48.5 or 48 1/2

Answer:

x=97/2 or 2x=97

Step-by-step explanation:

hope it helps

Given that the average time spent by a consultant with each customer is 10 minutes.We have been given the following data:

[\begin{aligned}\mu &=1 \\L_{q} &=? \\w_{q} &=?\end{aligned}\].

The given data doesn't give a clear picture of the service goal, therefore we need to find out the service goal.

This is nothing but the waiting time of the customer.

To calculate the waiting time of the customer we need to first find the average number of customers in the queue and then the average waiting time in the queue.

We know that the distribution of customers arriving at the consultant follows Poisson's distribution.  

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The correct option is- B) 60 students from each grade level, sample Mr. Q should use to arrive at the most reliable conclusion.

If each person or component of the population does have an equal probability of being chosen, the sample is considered impartial.

It can be advantageous to look at an impartial sample while trying to understand a population. An impartial sample can serve as a reliable indicator of the population as a whole and aid in your population analysis.

Mr. Q should use the following sample to draw the most trustworthy conclusion:

B) 60 students from each grade level.

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For a second order differential equation t²y'' - 4ty' + 6y = 0, general solution is of the form y(t) = c₁t² + c₂t³, so another solution other than y₁(t) = t² is y₂(t) = t³.

Given solution to t²y'' - 4ty' + 6y = 0 is

y₁(t) = t²

Using the method of reduction of order, let us assume, y₂(t) = v(t)y₁(t) is a solution to t²y'' - 4ty' + 6y = 0 for suitable choice of v(t). So,

y₂ = vt²

y₂' = 2vt + t²v'

y₂'' = 2v + 2tv' + 2tv' + t²v''

y₂'' = 2v + 4tv' + t²v''

Substituting this

t²×( 2v + 4tv' + t²v'') - 4t×(2vt + t²v') + 6×(vt²) = 0

t⁴v'' = 0

v'' = 0

v' = c, c is a constant

v = ct

Therefore, y₂(t) = ct×t²

y₂ (t) = ct³

Therefore general solution will be y(t) = c₁t² + c₂t³

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Step-by-step explanation:

..............

=> 3x + 4y = 12

Answer:

z=23

Step-by-step explanation:

z=2

10 ft pls like if it helped

Answer: + or - in between the 3x and 6? Can be either 7 or 3

Step-by-step explanation:

3x+6=15.

Subtract '6' on both sides.

3x=9.

Divide by '3'.

x=3

3x-6=15.

Add '-6' on both sides.

3x=21

Divide by '3'.

x=7

Again, it solely depends on your sign in between the first two numbers.

To find the value of the sculpture in 9 years, we can use the formula for compound interest:

V = P * (1 + r/100)^t

where V is the final value, P is the initial value (37,000), r is the annual interest rate (3.5%), and t is the number of years (9).

Plugging in the values into the formula, we get:

V = 37,000 * (1 + 3.5/100)^9

= 37,000 * 1.0355^9

= 37,000 * 1.978044

= approximately 73,656.78

So, the sculpture will be worth approximately 73,656.78 in 9 years if the owner's estimate is correct and its value increases by 3.5% every year.

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The value of alpha is 0.025. The Z-value is 1.96. The P(z) is 0.5. The effect size is 0.05. The Sample size for the study is 384.

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers. The 68-95-99.7 Rule states that 95% of values lie within two standard deviations of the mean, hence to get the 95% confidence interval, you add and subtract two standard deviations from the mean.

Here,

All the calculations attached in image.

z= 1.96

p = 0.5

q = 1-p = 0.5

E = 0.05

sample size =

(z^2).(pq)=(1.96^2).(0.5)(.0.5)

384.16,

round up

n for study =385

Alpha has a value of 0.025. There is a 1.96 Z-value. P(z) equals 0.5. The impact factor is 0.05. The Sample size for the study is 384.

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Answer:

618.2203≈618.22

Step-by-step explanation:

618.2203≈618.22

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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