10 points!! Scatter plots; please help me!

Answer:

d. 6

Step-by-step explanation:

Answer:

D: 6

Step-by-step explanation:

The Main Rules Are:

1) A negative number times a negative number is a positive number.

2) A positive number times a positive number is a positive number.

3) A negative number times a positive number is a negative number.

This problem is read as negative 1 times negative 6. Any negative symbol in front of a parentheses would be read as negative 1. In other words, the problem reads -1(-6). Remember, a negative number times a negative number is a positive number. Multiplying negatives is no different than multiplying numbers greater than zero, you just change the sign of the answer. Lets read this as 1 times 6 which is 6. Therefore, -1 times -6 is 6.  

Hope that helped, as well as explained the concept :)  

Answer:

x=20

Step-by-step explanation:

Let's solve your equation step-by-step.

4x−4+3x−2+2x+6=180

Step 1: Simplify both sides of the equation.

4x−4+3x−2+2x+6=180

4x+−4+3x+−2+2x+6=180

(4x+3x+2x)+(−4+−2+6)=180(Combine Like Terms)

9x=180

9x=180

Step 2: Divide both sides by 9.

9x

9

=

180

9

x=20

Answer:

x=20

Answer:

x=20

Step-by-step explanation:

im pretty sure this is right. you can't take away 4 from 4 x, so you do it like this: -4+(-2)+6 =0. 4x + 3x + 2x =9x. 180/9 = 20

Answer: 35log4x

Step-by-step explanation:

Answer:

I hope I helped sorry l didn't understand question number 19

Answer:

$36

Step-by-step explanation:

The stock value of $40 increased by 20%.

Increased value

= 20% of $40

= (20/100) × $40

= $800/100

= $8

New stock value

= Initial value + increased value

= $40 + $8

= $48

Then, the value decreased by 25%.

Decreased value

= 25% of $48

= (25/100) × $48

= $1200/100

= $12

New stock value

= Initial value + decreased value

= $48 - $12

= $36

So, the resulting stock value is $36.

Answer:

The resulting value of the stock is $36.

Step-by-step explanation:

First, we need to find out what 20% of $40 is.

40 x 0.20 = 8

40 + 2 = $48

Therefore, the stock value, when increased, is $48.

Now, we need to see what 25% of $48 is.

48 x 0.25 = 12

48 - 12 = $36

Therefore, the resulting value of the stock is $36.

The fertilizer he needs is 1000 square feet if the length is 40ft and width 25ft.

Area is the amount of room a two-dimensional (flat) surface occupy. It is helpful since it indicates how much of a certain material is required to create a hollow container. An object or shape's area is the total amount of surface it occupies.

The square foot, square mile, square meter, and square kilometer are a few examples of units used to measure area. Formulas can be used to determine the areas of regular forms like squares, rectangles, triangles, and circles. Grid or graph paper can be used to estimate the area of an irregular form.

Jose's rectangle yard, which is 40 feet long and 25 feet wide, will reportedly receive a fertilizer application.

We must determine the quantity of fertilizer he requires.

We are aware that the rectangle's area formula is as follows:

Area = Length * Width

using the values provided as a substitute, we obtain:

Area=40×25

Area=1000 square feet

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Answer:  $127.00

Step-by-step explanation:

you just multiply all the numbers by two then you add everything up. make sure to have a great day, and I really hope that this help! :)

Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

(a) There are 36 ways to select 8 apartments randomly by cluster sampling method.

(b) Throughout this process, we obtain floors 3, 4, 6, or 3, 6, which do not have sample flats with children, and as a result, the sample will not accurately reflect the population.

(a) Given the building has 9 floors which are taken as N=9 clusters.

Each floor has 4 apartments.

It is to select 8 apartments by cluster sampling method.

That is to select a sample of size any n=2 floors(clusters) by cluster sampling method out of the population of N=9 clusters.

By simple random sampling without replacement, there are NCn = 9C2 =36 ways to select 2 clusters.

Hence, there are 36 ways to select 8 apartments randomly by cluster sampling method.

(b) The main benefit of stratified sampling over cluster sampling is that the sample obtained using this method will unquestionably include representations of both features, i.e., apartments with and without children as a full representative of the population.

In contrast, there is no guarantee that the sample of flats with and without children from the cluster sampling approach will accurately reflect both qualities. Sometimes throughout this process, we obtain floors 3, 4, 6, or 3, 6, which do not have sample flats with children, and as a result, the sample will not accurately reflect the population.

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The right question is given beow:

The value of the probability P(x < 3) is 0.8

From the question, the table of values is given as

x = -1,0,1,2,3.

P(X = x) 0.2, 0.2, 0.2, 0.2, 0.2

To calculate the probability P(x < 3). we make use of the probability values where x is less than 3

This means that

P(x < 3) = P(-1) + P(0) + P(1) + P(2)

Substitute the known values in the above equation

So, we have

P(x < 3) = 0.2 + 0.2 + 0.2 + 0.2

Evaluate the sum

P(x < 3) = 0.8

Hence, the probability value is 0.8

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Answer:

you can found it on this document.

Step-by-step explanation:

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

\(3x+6+2x+5\)

Step 2: Add like terms

\(5x+11\) < your answer

Answer:

The amount of the loan Mr. Tan borrowed was $ 287,000.

Step-by-step explanation:

Since Mr. Tan bought a house for $ 410,000, paying a deposit of 30% of its value and requesting a loan for the rest of its value, to determine the amount of the loan, the following calculation is required:

100 - 30 = 70

410,000 x 0.70 = X

287,000 = X

Therefore, the amount of the loan Mr. Tan borrowed was $ 287,000.

Answer:

\(\boxed{\tt A. \;y = .613x + 4.142}\)

Step-by-step explanation:

Equation: (y-y_1)=y_2-y_1/x_2-x_1 (x-x_1)

Here,

\(\tt (x_1,y_1):(-2,2.9)\)

\(\tt (x_2,y_2): (-3.5,2)\)

\(\tt y-2.9=\cfrac{(2-2.9)}{(-3-5-(-2))} (x-(-2))\)

\(\tt y-2.9=\cfrac{-0.9}{-1.5} (x+2)\)

\(\tt y-2.9=0.6(x+2)\)

\(\tt y-2.9=0.6x+1.2\)

\(\tt y=.613x+4.142\)

___________________

Hope this helps you!

Have a nice day!

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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With θ in quadrant III, we expect to have both cosθ and sinθ negative. Then from the Pythagorean identity, we get

\(\cos^2\theta+\sin^2\theta=1\implies\sin\theta=-\sqrt{1-\cos^2\theta}=-\dfrac{\sqrt{35}}6\)

Then from the definition of tangent, that is

tanθ = sinθ / cosθ

we get

\(\tan\theta=\dfrac{-\frac{\sqrt{35}}6}{-\frac16}=\boxed{\sqrt{35}}\)

The value of \(\tan \theta\) is required.

The required value in quadrant three is \(\tan\theta=\sqrt{35}\)

\(\cos \theta=-\dfrac{1}{6}\)

We have the identity

\(\tan \theta=\dfrac{\sqrt{1-\cos^2\theta}}{\cos \theta}\\\Rightarrow \tan\theta=\dfrac{\sqrt{1-\left(-\dfrac{1}{6}\right)^2}}{-\dfrac{1}{6}}\\\Rightarrow \tan \theta=\dfrac{\sqrt{\dfrac{35}{36}}}{-\dfrac{1}{6}}\\\Rightarrow \tan\theta=\pm\sqrt{35}\times -1\\\Rightarrow \tan\theta=\pm\sqrt{35}\)

The required value in quadrant three is \(\tan\theta=\sqrt{35}\)

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It only seeks a single value and does not involve collecting data to draw general conclusions.

"Which employee worked the most hours in the previous month?" is not a statistical question because it only seeks a single value and does not involve collecting data to draw general conclusions.

On the other hand, "What is the average number of hours worked by employees in the previous month?" is a statistical question because it involves collecting data on all employees and using it to draw general conclusions about the entire workforce.

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The value of a, b and c are found as 6, 10 and 2 respectively.

Values for exponents, commonly referred to as powers, indicate how many often to multiply a quantity by itself.

The given expression is;

\(4x^{8} y^{c} = \frac{24x^{b}y^{-3} }{ax^{2} y^{-5} }\)

Solving expression using the law of indices.

\(x^{8} y^{c} = \frac{6x^{b-2}y^{-3+5} }{a}\)

\(ax^{8} y^{c} = {6x^{b-2}y^{2} }\)

Comparing powers of both sides:

a = 6

8 = b-2 : b = 10

c = 2

Thus, the value of  a, b and c are found as 6, 10 and 2 respectively.

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Step-by-step explanation:

Using the distance formula

√(x1-x2)²+(y1-y2)²

√(-3+5)²+(7-2)²

√(2)²+(5)²

√4+25

√29 units

Answer:

4.5 hours

Step-by-step explanation:

fbdjdbercyTxxivdu

Answer:

Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.

Answer: The answer is 36. Hope you have a nice day.

There you go

The inverse of the given function \(f(x)=\sqrt[5]{x^3}\) is \(f^{-1}(x)=x^{\frac{5}{3}}\)

The given function is:

\(f(x)=\sqrt[5]{x^3}\)

This function can be written in exponent form as:

\(f(x)=x^\frac{3}{5}\)

Make x the subject of the formula:

\(x=[f(x)]^\frac{5}{3}\)

Let x be replaced by \(f^{-1}(x)\) and f(x) be replaced by x

The inverse function therefore becomes:

\(f^{-1}(x)=x^{\frac{5}{3}}\\\\ f^{-1}(x)=\sqrt[3]{5}\)

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Answer: The building is in the form of a cylinder surmounted by a cone. To find the outer surface area of the building, we need to find the total surface area of the cylinder and the cone and add them together.

The total surface area of the cylinder = 2πr^2 + 2πrh = 2π(7^2) + 2π(7)(24) = 2π(49) + 2π(168) = 98π + 336π = 434π square meters

The total surface area of the cone = πr^2 + πr√(r^2 + h^2) = π(7^2) + π(7)(√(7^2 + 24^2)) = 49π + 49π(√(625)) = 49π + 49π(25) = 49π + 1225π = 1274π square meters

The outer surface area of the building is the sum of the total surface area of the cylinder and the cone, which is 434π + 1274π = 1708π square meters.

Step-by-step explanation:

If the population grows at the same rate 't' , then the population in next 20 years will be approximately 896 people.

The general formula can be used to calculate the exponential growth, which is:

P(t) = P0 e^(rt)

In the above equation,

P(t) is the population at time t

P0 is the population present initially

r is the rate of growth

e is the mathematical constant, whose value is approximately equal to 2.71828...

Since the population is growing at a rate proportional to the population present at time t, we know that: r = kP(t) (k is the proportionality constant)

P(t) = P0 e^(kP(t) t)

Since we are provided with the value of initial population P0 is which is 500, and that the population increases by 20% in 10 years. This infersthat:

P(10) = 500 + 0.2(500) = 600

The information above can be used to find the value of k. We plug in t=10 and P(10) = 600 into the equation above and solve for k:

600 = 500 e^(10k)

1.2 = e^(10k)

ln(1.2) = 10k

k = ln(1.2)/10

Now we can use this value of k can be utilized in order to calculate P(20), the population after 20 years:

P(20) = 500 e^(20k)

P(20) = 500 e^(20 ln(1.2)/10)

P(20) = 896 (approx.)

Hence, in can be said that the population in 20 years will be approximately 896 people.

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Answer:

44

Step-by-step explanation:

circumference = 2πr = 2*(22/7)*(14/2) = 44

Answer:

C = 44 cm

Step-by-step explanation:

The diameter is 14.  

The formula for circumference is

C = pi * d  where d is the diameter

C = 22/7  * 14

C = 22 * 2

C = 44 cm

Answer:

1/2 or 50% or 3/6

Step-by-step explanation:

There are 6 numbers on a die.

If the die is rolled 1 time and you want a number 4 or greater that leaves 4, 5, and 6.

6 - 3 = 3

3 + 3 = 6

therefore, 1/2 a chance of getting one of those numbers.

Answer:

it's 3/6

Step-by-step explanation:

because there are 3 numbers greater, equal than 4(4,5,6) and there in total are 6 sides in a die so the probability is 3/6

The required ratio is 1:2.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given that, A lighthouse typically has 2 beacons that rotate together but not necessarily facing opposite directions, it can be a shorter time between the first and second flashes than between the second flash and the third flash,  One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. The beacons are set 120 degrees apart along the rotation

If the second beacon is 120° after the first, then the first is 360° -120° = 240° after the second.

Therefore, the ratio of the times between beacons is =

120° : 240° = 1 : 2

Hence, the ratio is 1 : 2

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