18 + 4.5m = 6m + 12 help plz

The area of the figure is calculated to be

The area of the figure is calculated by dividing it into simpler sections, solve for the area of the simpler sections and add up

The figure is divided into

Area of triangles = 1/2 base * height

= 1/2 * 1.1 * 4.8 + 1/2 * 5.9 * (4.8 - 3.6)

= 2.64 + 3.54

= 6.18

Area of rectangle = length * width

= 5.9 * 3.6

= 21.24

Total area = area of the figure

= 6.18 + 21.21

= 27.42 square cm

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The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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Answer:

22 students do now have their own calculators

Step-by-step explanation:

80% of 110 is 88

you can find this by multiplying 110 by 0.8

110 - 88 = 22

22 students do now have their own calculators

Answer:

22 students

Step-by-step explanation:

There is two ways to do this problem.

1: since 80% of her class has a calculator you know that 20% does not because 100% - 80% = 20%, then from there you can multiply 110 by 0.2 (20% converted into a decimal) and get 22

2: or you could multiply 110 by 0.8 (80% as a decimal), then take that value (88) and subtract it from 110, (110 - 88 = 22)

Tell us the value of the variable to solve

The graph is attached btw

Answer:

Bet.

Step-by-step explanation:

Answer:

81.1111111111111

Step-by-step explanation:

Becuse

Answer:

80 (Estimate, we'll get to the exact result at the end.)

Step-by-step explanation:

\(\mathrm{(Round)~If~x < 5,~x=y.0}\)

→ y is the number, for instance, 60.0 since 63.0 in the ones/tenths place is less than 5 or 0.5

\(20 \times 70 = 1,400\)

→ imagine the newly rounded 73 as 2 × 7 which is 140, but it's 2 more 0's, so it's 1,400.

\(\bold{77}\\18|1,400\\18 \times 7 = 126\\140 - 126 = 14\\18 \times 7 = 126\\140 - 126 = 14\)

→ long division was performed. for each time a 0 appeared in 14 when 140 was subtracted by 126(18 • 7), a zero was either borrowed from 1,400 or dropped from 1,400 which became our remainder of 14 both ways around.

→ 77 is close to 75 but not below 5, so it round to 80. therefore, your estimate result is 80.

(The exact result is 81.1)

I hope this helped, let me know if you have concerns.

The integer for vector 1 {2,6,-7}, integer for vector 2 is 10,8,-14}, integer for vector 3 is {4,12,-14}, integer for vector 4 is {14,-2,-7} and integer for vector 5 is {22,0,-14}. (all these vectors are in span {V1 and V2})

List five vectors in Span {v_1, v_2}?

1) V1+v2={8,2,-7 }+{-6,4,0 }

={2,6,-7}

2) 2v1+v2={16,4,-14}+{-6,4,0}

={10,8,-14}

3)2v1+2v2={16,4,-14}+{-12,8,0}

={4,12,-14}

4)V1-v2={8,2,-7}-{-6,4,0}

={14,-2,-7}

5)2v1-v2={16,4,-14}-{-6,4,0}

={22,0,-14}

All of these vectors are contained within the span.

{v1,v2}={av1+bv2:ab∈r}

A matrix is a rectangular variety of ordered numbers (real or complex) or functions .Assume we want to express the following information about   Ram and his two friends Rohan and Yash's possession of pens and pencils:
Ram       has      20     pens       and       7       pencils,

Rohan    has      15     pens       and       5       pencils,

Yash       has      12     pens       and       3       pencils

Now, this could be arranged in tabular form as follows,
⎢20  7⎢
⎢15   5⎢                            
⎢12   3⎢        

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Answer:

w=45/2 or 22.5

Step-by-step explanation:

i hope this helps :)

Answer:

3.6

Step-by-step explanation:

In this division provlem, there is a variable. To find the value of the variable, you need to divide. What is 9 / 2.5? 3.6!

Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

Price = Dividend / (Required rate of return - Dividend growth rate)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3

PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3

PV = 0.877 + 0.769 + 0.675

PV = 2.321

Next, let's calculate the price:

Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV

Price = (1 / (0.14 - 0.06)) + 2.321

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

Capital gains yield = (Dividend growth rate) / (Price)

Capital gins yield = 0.06 / 12.5

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

\(Price = Dividend / (Required rate of return - Dividend growth rate)\)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

\(PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3\)

\(PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3\)

\(PV = 0.877 + 0.769 + 0.675\)

PV = 2.321

Next, let's calculate the price:

\(Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV\)

\(Price = (1 / (0.14 - 0.06)) + 2.321\)

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

\(Capital gains yield = (Dividend growth rate) / (Price)\)

\(Capital gins yied = 0.06 / 12.5\)

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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Answer:

is their a question?????

The directional derivative of f(x, y) = xey + cos(xy) at the point (2, 0) in the direction of 8 is 8e^2. Therefore, the directional derivative of f(x, y) = xey + cos(xy) at the point (2, 0) in the direction of 8 is 1.

To find the directional derivative, we need to calculate the gradient of the function f(x, y) and then take the dot product with the direction vector.

First, let's find the gradient of f(x, y):

∇f(x, y) = (∂f/∂x, ∂f/∂y)

Taking the partial derivatives:

∂f/∂x = ey + y(-sin(xy)) = ey - ysin(xy)

∂f/∂y = x(e^y) - xsin(xy)

Next, we evaluate the gradient at the given point (2, 0):

∇f(2, 0) = (e^0 - 0sin(0), 2e^0 - 2sin(0)) = (1, 2)

Now, let's calculate the directional derivative in the direction of 8:

The direction vector is 8/|8| = (8/8, 0/8) = (1, 0)

Taking the dot product of the gradient vector and the direction vector:

∇f(2, 0) · (1, 0) = 1 * 1 + 2 * 0 = 1

Therefore, the directional derivative of f(x, y) = xey + cos(xy) at the point (2, 0) in the direction of 8 is 1.

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The exact values of the remaining trigonometric functions are listed below:

Case 3: cos θ = 3 / 5, tan θ = 4 / 3, cot θ = 3 / 4, sec θ = 5 / 3, csc θ = 5 / 4

Case 4: sin θ = √11 / 6, tan θ = √11 / 5, cot θ = 5√11 / 5, sec θ = 6 / 5, csc θ = 6√11 / 11

Case 5: cos θ = 8√73 / 73, sin θ = 3√73 / 73, tan θ = 3 / 8, cot θ = 8 / 3, csc θ = √73 / 3

Case 6: sin θ = 1 / 2, cos θ = √3 / 2, tan θ = √3 / 3, sec θ = 2√3 / 3, csc θ = 2

In this problem we find four cases of trigonometric functions, whose exact values of remaining trigonometric functions must be found. The trigonometric functions are defined below:

sin θ = y / √(x² + y²)

cos θ = x / √(x² + y²)

tan θ = y / x

cot θ = x / y

sec θ = √(x² + y²) / x

csc θ = √(x² + y²) / y

Now we proceed to determine the exact values of the trigonometric functions:

Case 3: y = 4, √(x² + y²) = 5

x = √(5² - 4²)

x = 3

cos θ = 3 / 5

tan θ = 4 / 3

cot θ = 3 / 4

sec θ = 5 / 3

csc θ = 5 / 4

Case 4: x = 5, √(x² + y²) = 6

y = √(6² - 5²)

y = √11

sin θ = √11 / 6

tan θ = √11 / 5

cot θ = 5√11 / 5

sec θ = 6 / 5

csc θ = 6√11 / 11

Case 5: x = 8, √(x² + y²) = √73

y = √(73 - 8²)

y = 3

cos θ = 8√73 / 73

sin θ = 3√73 / 73

tan θ = 3 / 8

cot θ = 8 / 3

csc θ = √73 / 3

Case 6: x = √3, y = 1

sin θ = 1 / 2

cos θ = √3 / 2

tan θ = √3 / 3

sec θ = 2√3 / 3

csc θ = 2

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Answer: Choice B) between 6:48 AM and 5:12 PM

=========================================================

Explanation:

I've seen this problem before, and the first part states that if the temperature is above 25 degrees C, then the air conditioner turns on to start cooling the castle.

We want to find values of t that satisfy f(t) > 25

This is the same as trying to solve f(t) - 25 > 0

So we have,

\(f(t) = 24 - 5\cos\left(\frac{\pi}{12}t\right)\\\\ f(t)-25 = 24 - 5\cos\left(\frac{\pi}{12}t\right)-25\\\\ f(t)-25 = -1 - 5\cos\left(\frac{\pi}{12}t\right)\\\\ f(t)-25 > 0\\\\ -1 - 5\cos\left(\frac{\pi}{12}t\right) > 0\\\\\)

To solve this inequality, we can graph using Desmos as I've done so below. See the attached image.

Note how I used x in place of t. This is because the graphing calculator graphs (x,y) coordinates.

Furthermore, note how I marked the two points (6.769, 0) and (17.231, 0)

Between these two points is when the curve is above the x axis, when f(t) > 25 is true. This is when the temperature is above 25 degrees C, and when the air conditioner is working.

When t = 6.769, this means that roughly 6.769 hours have passed since midnight which means we're somewhere between 6 am and 7 am. The only value that works from the answer choices is 6:48 AM.

Note how 0.769*60 = 46.14 is fairly close to 48. This error is likely due to how things are rounded.

Then focusing on the point  (17.231, 0) means that t = 17.231. So 17.231 hours have elapsed since midnight and we're now at roughly 1700 hours

1700 hours in military time = 17-12 = 5 pm

The time value t = 17.231 is between 5 pm and 6 pm. The only thing that works is 5:12 pm.

We can then note how 0.231*60 = 13.86 which is also probably due to rounding error (it's fairly close to 12 though).

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

In short, we found the function for f(t)-25 and graphed it as shown below. The two points (6.769, 0) and (17.231, 0) help us see when the AC is turned on, which is roughly between 6:48 AM and 5:12 PM. This seems like a reasonable time for the AC to be operational. Something like between 5:12 PM and 6:48 AM seems like a bad idea because the AC would be working mostly at night, instead of during the day.

Anything beyond t = 24 represents the next day, which is when the cycle starts all over again. So we only need to focus on the window from t = 0 to t = 24. Specifically, the portion of the f(t)-25 curve that is above the x axis.

The solutions to the equation x^2 = 2x + 10, obtained by completing the square, are x = 1 + √11 and x = 1 - √11.

To solve the equation x^2 = 2x + 10 by completing the square, we can follow these steps:

1. Move the constant term to the right side:

x^2 - 2x = 10

2. Take half of the coefficient of x (-2), square it, and add it to both sides of the equation:

x^2 - 2x + (-2/2)^2 = 10 + (-2/2)^2

x^2 - 2x + 1 = 10 + 1

3. Simplify:

x^2 - 2x + 1 = 11

4. Rewrite the left side as a perfect square:

(x - 1)^2 = 11

5. Take the square root of both sides, considering both positive and negative square roots:

x - 1 = ±√11

6. Solve for x:

x = 1 ± √11

Therefore, the solutions to the equation x^2 = 2x + 10, obtained by completing the square, are x = 1 + √11 and x = 1 - √11.

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The valid C identifiers from the given options are (b) travel time, (d) number, (f) inchesinonecentimeter, (g) monthly pay, and (h) first.

In C programming, identifiers are names used to identify variables, functions, and other entities. They must follow certain rules to be considered valid. Here's an analysis of each option:

(a) firstc prog: Invalid identifier because it starts with a number, which is not allowed in C.

(b) travel time: Valid identifier because it consists of alphabetic characters and spaces are allowed.

(c) 3feetinayard: Invalid identifier because it starts with a number, which is not allowed in C.

(d) number: Valid identifier because it consists of alphabetic characters.

(e) cpp assignment: Invalid identifier because it contains a space, which is not allowed in C.

(f) inchesinonecentimeter: Valid identifier because it consists of alphabetic characters.

(g) monthly pay: Valid identifier because it consists of alphabetic characters and spaces are allowed.

(h) jack'shomework: Invalid identifier because it contains an apostrophe, which is not allowed in C.

To summarize, the valid C identifiers from the given options are (b) travel time, (d) number, (f) inchesinonecentimeter, (g) monthly pay, and (h) first.

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Answer:

.25

Step-by-step explanation:

i do not know what Plot the first addend and the sum on the number. is... sorry

Answer:

-6x = 12+x/2

Step-by-step explanation:

-6 times a number equals -6x

12 more than half a number is 12 + x/2

therefore, the euqation is -6x = 12 + x/2

Answer:

The equation would be

X=Y/2+12

The definite integral that represents the area of the region enclosed by the polar curve r = 1 sin θ is ∫[a, b] 1/2 r^2 dθ

To determine the definite integral that represents the area of the region, we integrate the expression 1/2 r^2 with respect to θ over the interval [a, b], where a and b are the limits of the region.

In this case, the polar curve r = 1 sin θ represents a circle with radius 1 centered at the origin. As θ varies from 0 to π, the curve traces half of the circle in the positive direction. To find the area of the region enclosed by this curve, we integrate the expression 1/2 r^2 over this interval.

The expression 1/2 r^2 represents the area of a sector of the circle with radius r and central angle θ. Integrating this expression with respect to θ gives us the total area enclosed by the curve.

By evaluating the definite integral over the interval [a, b], we can find the area of the region enclosed by the polar curve r = 1 sin θ.

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Answer:

In computer programming, specifically object-oriented programming, a class invariant is an invariant used for constraining objects of a class. Methods of the class should preserve the invariant. The class invariant constrains the state stored in the object

Answer:

39.24 sec

How long will it take a 1500 W motor to lift a 300 kg piano to a sixth-story window 20 m above? All tutors are evaluated by Course Hero as an expert in their subject area. Answer is t = 39.24 sec

Step-by-step explanation:

It will take the motor 39.2 seconds to lift the piano to the sixth-story window.

Given the following data;

We know that acceleration due to gravity is equal to 9.8 m/s².

To find how long it will take to lift the piano to the sixth-story window;

First of all, we would have to determine the gravitational potential energy required to lift the piano up.

Mathematically, gravitational potential energy is given by the formula;

\(G.P.E = mgh\)

where:

Substituting into the formula, we have;

\(G.P.E = 300*9.8*20\)

G.P.E = 58,800 Joules

Next, we would determine the time using the following formula;

\(Time = \frac{Energy}{Power}\)

Substituting the values into the formula, we have;

\(Time = \frac{58800}{1500}\)

Time = 39.2 seconds.

Therefore, it will take the motor 39.2 seconds to lift the piano to the sixth-story window.

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Answer:

14.8 or round up to 15 burgers

Step-by-step explanation:

he resolution of the A/D converter is 0.39% of the full-scale value.

To find the resolution in millivolts, we can use the formula:

Resolution = Vfull-scale value / (2^n)

Given that the full-scale value is 5 volts and the A/D converter is 8 bits, we have:

Resolution = 5 volts / (2^8) = 5 volts / 256 = 0.0195 volts

To convert this to millivolts, we multiply by 1000:

Resolution = 0.0195 volts * 1000 = 19.5 millivolts

Therefore, the resolution of the A/D converter is 19.5 millivolts.

To express the resolution in terms of the % of full-scale value, we can use the formula:

Resolution (%FS) = (Resolution / Vfull-scale value) * 100

Using the resolution value we obtained in part 1 (0.0195 volts) and the full-scale value of 5 volts, we have:

Resolution (%FS) = (0.0195 volts / 5 volts) * 100 = 0.39%

Therefore, the resolution of the A/D converter is 0.39% of the full-scale value.

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Answer:

(820 ; 980)

Step-by-step explanation:

Given :

Sample size, n = 80

Number of bilingual from sample = 36

Sample proportion, phat = x / n = 36 / 80 = 0.45

Margin of Error = 4% = 0.04

Interval = sample proportion ± margin of error

0.45 ± 0.04

(0.41 ; 0.49)

(0.41 * 2000 ; 0.49 * 2000)

(820 ; 980)

Answer:

not sure what the O is there for?

if it is zero then Oy would make Oy=2(x+3) not correct

3x-y = 2

y=2(x+3)

Step-by-step explanation:

)

In integration the bindefinite integral of 1/xlnx is

ln(|u|)+C=ln(|lnx|)+C with the aid of using parts, we've discovered whilst the specified formula.

The vital of the 2 capabilities are taken, with the aid of using thinking about the left time period as first feature and 2nd time period as the second one feature.

This technique is referred to as Ilate rule.The vital of xlnx is same to (x2/2) lnx - x2/4 + C, wherein C is the mixing constant. We can compare this vital the usage of the technique of integration with the aid of using parts.

We have the vital:

\(∫1xlnxdx

Use substitution. Let u=lnx so that du=1xdx . Note that each of those are presently gift withinside the vital.

∫1xlnxdx=∫(1lnx)1xdx=∫1udu

This is a not unusualplace vital:

∫1udu=ln(|u|)+C

Since u=lnx :

ln(|u|)+C=ln(|lnx|)+C\)

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Option A is correct.

For testing, if x is a significant predictor of y in simple linear regression, we need to determine if the slope is significantly different from zero.

What is linear regression?

A statistical technique known as linear regression is used to represent the connection between a scalar answer and one or more explanatory factors. When there is just one explanatory variable, simple linear regression is employed; when there are numerous explanatory variables, multiple linear regression is utilized.

Based on the value of another variable, linear regression analysis makes predictions about the value of the first variable. The dependent variable is the one you're trying to forecast. The independent variable is the one you are utilizing to make a prediction about the value of the other variable.

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The equation of the line that passes through the given points is;

4y = -9x - 16

Here, we are tasked with writing the linear equation of the line that passes through the given points

Mathematically, the linear equation can be represented by;

Where m represents the slope of the line while c is the y-intercept of the line. Hence, we want to calculate the values of m and c

To calculate the slope of the line, the equation below is used;

Since we have the slope, we can now proceed to get the value of c which is the y-intercept. The value of c can be obtained by plugging the values of the coordinates of one of the points into the yet to be completed equation

In the present form, the equation is;

We now proceed to plug the coordinates of (0,-4) where x here is 0 and y is -4. Plugging these values into the equation, we have the following;

The complete equation is thus given below as follows;

Answer:

8

Step-by-step explanation:

Divide 192 by 24 and you'll get 8 classes per grade as the answer

Answer:

8 classes

Step-by-step explanation:

To find the minimum amount of classes, you divide 192 by 24 and you get 8 classes.

Answer:

12 Nickels & 9 Dimes

Step-by-step explanation:

Systems of Equations

0.05x + 0.10y = 1.50

x + y = 21

Find the intercept and you get (12,9)

Answer:

44.55

Step-by-step explanation:

Internet said this: "Thus, a product that normally costs $ 81 with a 45 percent discount will cost you $ 44.55, and you saved $ 36.45. You can also calculate how much you save by simply moving the period in 45.00 percent two spaces to the left, and then multiply the result by $ 81 as follows: $ 81 x. 45 = $ 36.45 savings."

Hope this helps∞<3

Let me know if it right or wrong!

Answer: $44.55

Step-by-step explanation:

$81*.45=36.46

$81-$36.45= $44.55

The probability that a 34 square foot metal sheet has at least 9 defects is 0.4308, rounded to four decimals.

Given that the sheet metal has an average of 7 defects per 20 square feet, we can find the rate parameter (λ) of the Poisson distribution as follows:

λ = (7 defects / 20 sq ft) = 0.35 defects per square foot

Let X be the number of defects in a 34 square foot metal sheet. Since X follows a Poisson distribution with rate parameter λ, we can find the probability that X is at least 9 defects using the cumulative distribution function (CDF) of the Poisson distribution:

P(X ≥ 9) = 1 - P(X < 9) = 1 - F(8)

where F(k) is the CDF of the Poisson distribution with rate parameter λ evaluated at k.

Using the Poisson distribution formula for F(k), we have:

F(k) = P(X ≤ k) = ∑(i=0 to k) [(λ^i * e^(-λ)) / i!]

Using a calculator or software, we can find that:

F(8) = P(X ≤ 8) = 0.5692

Therefore, we have:

P(X ≥ 9) = 1 - F(8) = 1 - 0.5692 = 0.4308

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