I have like 20 minutes to finish this

In order to get both equal cards, the first gambler can get any card, but the second gambler has to get a card of the same value, that probability is 4/52 (there are 4 cards of the same value on the 52 card deck)

Answer:

4/52 = 0.07692307692 ==> 7.7%

That is approximatelly 7.7%

Yes, I'm still here

Do you see

The value for the expression, (f * g)(x) is calculated as: C. 8x³ - 12x² - 6x -1

How to Evaluate the Expressions of Functions?

We are given the following functions,

f(x) = 4x² – 4x + 1 and g(x) = 2x – 1.

To find the value of the expression, (f * g)(x), it means we have to multiply the functions together. See the steps explained below.

(f * g)(x) = f(x) * g(x)

Plug in the values:

(f * g)(x) = f(x) * g(x) = (4x² – 4x + 1)(2x – 1)

(f * g)(x) = 4x²(2x – 1) - 4x(2x – 1) + 1(2x – 1)

Apply the distribution property of equality:

(f * g)(x) = 8x³ – 4x² - 8x² + 4x + 2x – 1

Combine like terms:

(f * g)(x) = 8x³ - 12x² - 6x - 1

Therefore, the answer is: C. 8x³ - 12x² - 6x - 1.

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The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

28

Step-by-step explanation:

So 1% of 350 would be 3.5 because 350 divided by 100 is 3.5. You then get 3.5 and multiply it 8 times, which would be 28. (You multiply it 8 times because 8% is 8 times 1%.)

Answer:

this is hard i think its is 28

Step-by-step explanation:

because i put 128 and got it correct

Answer:

yˆ=32.11⋅1.08x

Step-by-step explanation:

just took the test

Option: A is the correct answer.

The quadratic regression equation for the data set is:

   A. y = 0.056x²+1.278x-0.886

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

We are given a set of data value as:

        x                y

        3             3.45

        5              6.9

        6             8.79  

        8             12.91

        10            17.48

        12            22.49

        15            30.85

On plotting these points on a scatter plot we see that the line that best fits these data points is a parabola i.e. the equation is a equation of a quadratic function.

The equation of the line of best fit is:

y = 0.056x²+1.278x-0.886

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9514 1404 393

Answer:

  $189.32

Step-by-step explanation:

Add all of the numbers shown to the beginning balance to find the ending balance.

  $92.19 -39.35 +49.76 +87.35 +9.97 -10.60 = $189.32

Tristan's balance at the end of the month was $189.32.

__

There should be no confusion. Money deposited into the account increases the balance by the amount deposited.

Money spent from the account decreases the balance by the amount spent.

Here, amounts deposited are given a plus sign (+); amounts spent are given a minus sign (-).

__

Additional comment

It can be tedious to enter these numbers correctly into a calculator. Many folks prefer a calculator that provides a "tape", a record of the amounts and operations the calculator uses in the computation. Alternatively, you can put the numbers in a spreadsheet and use the SUM function to do the addition for you. That, too, makes it easy to check that numbers have been entered correctly.

The attachment shows the calculation done in a spreadsheet.

Given Dimension :-

To find :-

Solution :-

Volume :- 9.3 × 4 × 4 cm³

Volume = 148.8 cm³

Answer:

Step-by-step explanation:

In the question we have .

And we are asked to find the volume of rectangular prism . We know that ,

\( \quad \pink{ \boxed{ \sf{Volume _{ (Rectangular\: Prism) } = L × W × H }}}\)

Where ,

Solution : -

\( \quad \: \longmapsto \: 9.3 \times 4 \times 4\)

Calculating further :

\( \quad \: \longmapsto \:9.3 \times 16\)

We get :

\( \quad \: \longmapsto \: \purple{ \underline{\boxed{\frak{148.8 \: cm {}^{3} }}}}\)

Answer:

y = -2+1/3x

Step-by-step explanation:

Slope = -2

x - intercept = -3

To make the x-intercept positive you make it 1/3.  

y = -2 +1/3x

Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

The 5 ft by 8 ft dimensions of the car and the (width) 2 ft by (height) 3 ft dimensions of the chair, indicates that the vehicle can haul both chairs in one trip.

The dimensions of rectangularly shaped solid are the height, the width and the length of the solid.

The possible dimensions of the vehicle and the chair obtained from a similar online question are;

Length of the vehicle = 8 feet

Width of the vehicle = 5 feet

The height of one chair = 3 feet

The width of one chair = 2 feet

Therefore;

The width of the vehicle of 5 feet indicates that the vehicle can contain the two chairs placed side by side with their widths of 2 feet each, to get;

Width of  the two chairs = 2 feet + 2 feet = 4 feet < 5 feet

The two chairs placed horizontally, such that we get;

The total length of the horizontally placed chairs = 3 feet + 3 feet = 6 feet

The combined height of the two chaires, of 6 feet is less than the length of the car which is 8 feet, therefore;

The car can haul both chairs placed horizontally in a single trip.

The vehicle could therefore be used to haul both chairs in a single trip.

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The number of square feet needed to cover the hole is 44ft²

To find this, we need to find the area of the green region and subtract the little square that it has inside.

Remember that for a rectangle, the area is the product between the dimensions, then the area of the green region is:

A = 12ft*4ft = 48ft²

The little square has an area:

a = 2ft*2ft = 4ft²

Then the area needed is:

area = 48ft² - 4ft² = 44ft²

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Answer:

Explained below.

Step-by-step explanation:

Let the random variable X be defined as the number of Americans who travel by car look for gas stations and food outlets that are close to or visible from the highway.

The probability of the random variable X is: p = 0.40.

A random sample of n =25 Americans who travel by car are selected.

The events are independent of each other, since not everybody look for gas stations and food outlets that are close to or visible from the highway.

The random variable X follows a Binomial distribution with parameters n = 25 and p = 0.40.

(a)

The mean and variance of X are:

\(\mu=np=25\times 0.40=10\\\\\sigma^{2}=np(1-p)-25\times0.40\times(1-0.40)=6\)

Thus, the mean and variance of X are 10 and 6 respectively.

(b)

Compute the values of the interval μ ± 2σ as follows:

\(\mu\pm 2\sigma=(\mu-2\sigma, \mu+ 2\sigma)\)

           \(=(10-2\cdot\sqrt{6},\ 10+2\cdot\sqrt{6})\\\\=(5.101, 14.899)\\\\\approx (5, 15)\)

Compute the probability of P (5 ≤ X ≤ 15) as follows:

\(P(5\leq X\leq 15)=\sum\limits^{15}_{x=5}{{25\choose x}(0.40)^{x}(1-0.40)^{25-x}}\)

                        \(=0.0199+0.0442+0.0799+0.1199+0.1511+0.1612\\+0.1465+0.1140+0.0759+0.0434+0.0212\\\\=0.9772\)

Thus, 97.72% values of the binomial random variable x fall into this interval.

(c)

Compute the value of P (6 ≤ X ≤ 14) as follows:

\(P(6\leq X\leq 14)=\sum\limits^{14}_{x=6}{{25\choose x}(0.40)^{x}(1-0.40)^{25-x}}\)

                        \(=0.0442+0.0799+0.1199+0.1511+0.1612\\+0.1465+0.1140+0.0759+0.0434\\\\=0.9361\\\\\approx P(5\leq X\leq 15)\)

The value of P (6 ≤ X ≤ 14) is 0.9361.

According to the Tchebysheff's theorem, for any distribution 75% of the data falls within μ ± 2σ values.

The proportion 0.9361 is very large compared to the other distributions.

Whereas for a mound-shaped distributions, 95% of the data falls within μ ± 2σ values. The proportion 0.9361 is slightly less when compared to the mound-shaped distribution.

Probabilities are used to determine the chance of an event.

The given parameters are:

\(\mathbf{n = 25}\)

\(\mathbf{p = 40\%}\)

(a) Mean and variance

The mean is calculated as follows:

\(\mathbf{Mean = np}\)

\(\mathbf{Mean = 25 \times 40\%}\)

\(\mathbf{Mean = 10}\)

The variance is calculated as follows:

\(\mathbf{Variance = np(1 - p)}\)

So, we have:

\(\mathbf{Variance = 25 \times 40\%(1 - 40\%)}\)

\(\mathbf{Variance = 6}\)

(b) The interval  \(\mathbf{\mu \pm 2\sigma}\)

First, we calculate the standard deviation

\(\mathbf{\sigma = \sqrt{Variance}}\)

\(\mathbf{\sigma = \sqrt{6}}\)

\(\mathbf{\sigma = 2.45}\)

So, we have:

\(\mathbf{\mu \pm 2\sigma = 10 \pm 2 \times 2.45}\)

\(\mathbf{\mu \pm 2\sigma = 10 \pm 4.90}\)

Split

\(\mathbf{\mu \pm 2\sigma = 10 + 4.90\ or\ 10 - 4.90}\)

\(\mathbf{\mu \pm 2\sigma = 14.90\ or\ 5.10}\)

Approximate

\(\mathbf{\mu \pm 2\sigma = 15\ or\ 5}\)

So, we have:

\(\mathbf{\mu \pm 2\sigma = (5,15)}\)

The binomial probability is then calculated as:

\(\mathbf{P = ^nC_x p^x \times (1 - p)^{n - x}}\)

This gives

\(\mathbf{P = ^{25}C_5 \times (0.4)^5 \times (1 - 0.6)^{25 - 5} + ...... +^{25}C_{15} \times (0.4)^{15} \times (1 - 0.6)^{25 - 15}}\)

\(\mathbf{P = 0.0199 + ..... + 0.0434 + 0.0212}\)

\(\mathbf{P = 0.9772}\)

Express as percentage

\(\mathbf{P = 97.72\%}\)

This means that; 97.72% values of the binomial random variable x fall into the interval \(\mathbf{\mu \pm 2\sigma}\)

\(\mathbf{(c)\ P(6 \le x \le 14)}\)

The binomial probability is then calculated as:

\(\mathbf{P = ^nC_x p^x \times (1 - p)^{n - x}}\)

So, we have:

\(\mathbf{P = ^{25}C_6 \times (0.4)^6 \times (1 - 0.4)^{25 - 6} + ...... +^{25}C_{14} \times (0.4)^{14} \times (1 - 0.4)^{25 - 14}}\)

\(\mathbf{P = 0.0422 +.............+0.0759 + 0.0434}\)

\(\mathbf{P = 0.9361}\)

This means that:

93.61% values of the binomial random variable x fall into the interval 6 to 14

By comparison, 93.61% is very large compared to the other distributions., and the proportion 93.61 is slightly less when compared to the mound-shaped distribution.

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0.5  is the probability that a driver is having a conversation while driving.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, 6/10 drivers look at their phones while driving. 3/10 drivers are having a conversation and looking at their phones while driving.

Let P(A) be the probability of drivers looking at their phones while driving.

and P(B) be the probability of drivers looking at their phones while driving.

Since:

P(A) = 0.6

P(A ∩ B) = 0.3

P(B) = (P(A ∩ B))/ P(A)

P(B) = 0.3/0.6

P(B) = 1/2

therefore, the probability that a driver is having a conversation while driving is 0.5.

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Answer:

3.3

Step-by-step explanation:

all the numbers add up to 33

and there is 10 numbers so divide 33 by 10 and you get 3.3

Answer:

cgtcdtxcgv gg ok

Step-by-step explanation:

To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.

The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.

The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.

$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:

$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow

A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow

A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$

Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).

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The coordinates of D on the trapezium is (1, 8)

The coordinates are given as

A = (-2,-2)

C = (-3/4, -6)

Midpoint AD = (-1/2,3)

The midpoint is calculated as

Midpoint = 1/2 * (x1 + x2, y1 + y2)

So, we have the following:

Midpoint AD = 1/2 * (x1 + x, y1 + y)

This gives

(-1/2, 3) = 1/2 * (-2 + x, -2 + y)

Multiply through the equation by 2

So, we have

(-1, 6) = (-2 + x, -2 + y)

Evaluate the values of x and y in the equations

So, we have

-2 + x = -1

-2 + y = 6

This gives

x = 1

y = 8

So, we have

D = (1, 8)

Hence, the coordinates of D on the trapezium is (1, 8)

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

To find the area, we need to find the side length AB (and DC).

The easiest way to approach this is to draw a sketch with all the given information (see attached).

As point O is the center point of the rectangle, we can draw a horizontal line from point O to the center point of BC (point M on the diagram) and create a right triangle.  We can then use the Sine rule to find the shortest leg of the triangle (marked as x on the diagram).  This will be half of the side length AB, and so to find the side length, simply multiply it by 2.

To find the missing angles of the right triangle:

m∠COM = (180° - 30°) ÷ 2 = 75°

m∠OCM = 180° - 90° - m∠COM = 90° - 75° = 15°

Sine rule

\(\sf \dfrac{a}{sinA}=\dfrac{b}{sinB}=\dfrac{c}{sinB}\)

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

\(\implies \dfrac{x}{\sin(15)}=\dfrac{6}{\sin(75)}\)

\(\implies x=\sin(15)\cdot \dfrac{6}{\sin(75)}\)

\(\implies x=12-6\sqrt{3}\)

As AB = \(2x\)

\(\begin{aligned} \implies AB & =2x\\ & =2(12-6\sqrt{3})\\ & =24-12\sqrt{3}\end{aligned}\)

Now we have both side lengths of the rectangle, we can easily calculate the area.

Area of a rectangle = width × length

                                = (24 - 12√3) × 12  

                                = 288 - 144√3

                                = 38.5846837...

                                = 38.585 units² (nearest thousandth)

The equation of the normal line to the curve x^2y^2 = 4 at the point (-1,-2) is y = x - 1.

To find the tangent line and normal line to the curve x^2y^2 = 4 at the point (-1,-2), we need to determine the derivative of the curve equation with respect to x and evaluate it at the given point.

First, let's differentiate the equation x^2y^2 = 4 implicitly with respect to x using the chain rule:

2x * (y^2) + 2y * (2xy * dy/dx) = 0

Simplifying the equation, we have:

2xy^2 + 4xy(dy/dx) = 0

Now, let's find the value of dy/dx at the point (-1,-2). Substitute x = -1 and y = -2 into the equation:

2*(-1)(-2)^2 + 4(-1)*(-2)(dy/dx) = 0

Simplifying further:

8 + 8(dy/dx) = 0

8(dy/dx) = -8

dy/dx = -1

We have found the derivative dy/dx at the point (-1,-2), which is -1. This represents the slope of the tangent line to the curve at that point.

Using the point-slope form of a line, we can write the equation of the tangent line as:

y - y₁ = m(x - x₁)

Substituting the values of (-1,-2) and dy/dx = -1 into the equation, we have:

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

y + 2 = -1(x + 1)

y + 2 = -x - 1

y = -x - 3

Therefore, the equation of the tangent line to the curve x^2y^2 = 4 at the point (-1,-2) is y = -x - 3.

To find the normal line, we know that the slope of the normal line is the negative reciprocal of the slope of the tangent line. Therefore, the slope of the normal line is 1.

Using the point-slope form of a line again, we can write the equation of the normal line as:

y - y₁ = m'(x - x₁)

Substituting the values of (-1,-2) and m' = 1 into the equation, we have:

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

y + 2 = x + 1

y = x - 1

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The y-intercept of the line representing Beatrice's monthly music is 20

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

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

how many pounds does he feed his dogs for each meal?

Answer:

X/-2>5

Step-by-step explanation:

This is an Inequality

The complex expression (2+5) - (-6 +bi) in the form a + bi is 13 - bi

The expression is given as

(2+5) - (-6 +bi)

The above expression is a complex expression

So, we have the following expression

(2+5) - (-6 +bi)

Remove the brackets in the above expression

So, we have the following expression

(2+5) - (-6 +bi) = 2 + 5 + 6 - bi

Evaluate the like terms in the above equation

So, we have the following expression

(2+5) - (-6 +bi) = 13 - bi

Hence, the solution to the complex expression is 13 - bi

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The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

33

Step-by-step explanation:

22-6+17=33

this is correct i think

Answer:

???

Notes:

Hi, sorry, but I can't really do this if I don't know what 15 shirts cost, or if there isn't an equation of some sort. (Sorry again...)

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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