subtract 2 from the sum of j and 5

The expected value of the cash prize at the fundraiser is $2.

The expected value can be calculated by multiplying the probability of each outcome by its corresponding monetary value, and then summing up these values. In this case, the probability is determined by the number of tickets sold, and the monetary value is the cash prize.

To find the expected value, we need to calculate the product of the probability and the cash prize for each possible outcome. Since there are 1700 tickets sold, each with a $9 price, the probability of winning the cash prize is 1/1700. Therefore, the expected value can be calculated as:

Expected Value = (Probability of winning) * (Cash prize)

= (1/1700) * $3400

= $2

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The given system of equation are :

-6x - y = -16

-6x -5y = -8

On subtracting both the equation we get :

-6x -y -(-6x -5y) = -16 -(-8)

-6x -y +6x +5y = -16 +8

-6x + 6x +5y -y = -8

4y = -8

4y = -8

Divide both side by 4:

4y/4 = -8/4

y = -2

Substitute the value of y =- 2 in the any one equation:

-6x - y = -16

-6x - (-2)= -16

-6x + 2 = -16

-6x = -16 -2

-6x = -18

x = 3

Answer : x = 3, y = -2

a. The three statistics that measure central location are:

b. The mean tells us the average number of miles jogged by the sample of 12 joggers last week. Median tells us the midpoint of the data. The mode give us insight into what distance is most frequently jogged by the sample

a. Mean: average of the data = (5.5 + 7.2 + 1.6 + 22.0 + 8.7 + 2.8 + 5.3 + 3.4 + 12.5 + 18.6 + 8.3 + 6.6) / 12 = 8.825 miles.

Median: middle value of the data when arranged in order = 7.95 miles.

Mode: most common value in the data set = there is no mode since no value is repeated.

b. The mean shows us how many miles on average the sample of 12 joggers covered last week. The median provides the data's midpoint, which is helpful when the mean may be impacted by extreme numbers. When it is present, the mode can help us understand what distance the sample covers most frequently. Since there is no mode in this instance, this number is useless.

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Answer:

   x degree = 112 degree

Step-by-step explanation:

let the intersecting point of two cords be O.

then arc QR = angle QOR

which means ; 68 degree = angle QOR

 Now,

angle QOR + angle POQ = 180 degree ( linear pair )

or,  68 degree + angle POQ = 180 degree

hence, angle POQ = 112 degree,.

Answer:

-21/5 or -4.2

Step-by-step explanation:

y = 2x + 6

3y - x + 3 = 0

Substitute the value for y from the first equation into the second equation.  Solve for x.

3y - x + 3 = 0

3(2x + 6) - x  + 3= 0

6x + 18 - x + 3 = 0

5x + 18 + 3 = 0

5x + 21 = 0

5x + 21 - 21 = 0 - 21

5x = -21

x = -21/5 or -4.2

Adding a tracking variable to count the number of times a loop executes can be an effective way to measure the answer choice's truthfulness.

Adding a tracking variable to count the number of loop executions can indeed be a useful technique for various purposes. By incrementing the tracking variable within the loop, we can keep track of the number of times the loop body is executed. This information can be valuable in measuring the accuracy or efficiency of the loop and evaluating the truthfulness of an answer choice.

For example, when comparing different algorithms or approaches, counting loop iterations can help determine which solution performs better. It provides a quantitative measure to assess time complexity or resource usage. Additionally, the tracking variable can be used to validate the correctness of a loop by ensuring that the expected number of iterations is reached.

By monitoring the loop execution count, we can gain insights into the behavior of the code, identify potential issues such as infinite loops, and make informed decisions based on the observed results. Hence, adding a tracking variable to count loop executions can be an effective technique to measure the truthfulness or performance of an answer choice in certain scenarios.

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The condition under which someone becomes more rational is when someone provided probability information.

Probability gives information about the likelihood that something will occur. For instance, weather patterns are used by meteorologists to predict the possibility of rain. Probability theory is utilized in epidemiology to comprehend the connection between exposures and the risk of health outcomes.

Everyday existence heavily relies on probability. In the analysis of political strategies, the determination of blood types, sports and gaming strategies, purchasing or selling insurance, online shopping, and online games.

Thus, having knowledge about probability makes someone more rational.

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Option B. $9,255.75, Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of

To find the present value of an infinite stream of cash flows, we can use the formula:

PV = CF / r

where PV is the present value, CF is the cash flow per period, and r is the interest rate per period.

In this case, CF = $100 (received at the end of each year forever) and r = 10%.

Plugging in the numbers, we get:

PV = $100 / 0.10 = $1,000

So the present value of the infinite stream of cash flows is $1,000.

However, we need to adjust for the fact that the cash flows are received at the end of each year, not at the beginning. To do this, we can use the formula:

PV = CF / (r - g)

where g is the growth rate of the cash flows, which in this case is 0 (since the cash flows are constant).

Plugging in the numbers, we get:

PV = $100 / (0.10 - 0) = $1,000

So the present value of the infinite stream of cash flows received at the end of each year is also $1,000.

Therefore, the answer must include the present value of an infinite stream of cash flows. Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of cash flows.

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The following statements correctly describe how the graph of the geometric sequence: 640, 160, 40, 10, ... should appear:

The given sequence is 640, 160, 40, 10, ... which is a geometric sequence.

Here, the first term is 640 and the common ratio is ¼

The terms of a geometric sequence can be written as an = a₁(r)⁽ⁿ⁻¹⁾

Here, a₁ = 640, and r = ¼.

Hence, the nth term of the given sequence is given by the formula:

an = 640(1/4)⁽ⁿ⁻¹⁾

The graph of the given sequence will appear as shown below:

The given sequence is a decreasing sequence, which means the terms of the sequence keep decreasing as the value of n increases.

Therefore, the graph will show exponential decay.

The domain of the sequence will be the set of natural numbers, which is {1, 2, 3, ...}, since we cannot find any term before the first term.

Therefore, the first term is the initial term and we can count the other terms of the sequence in natural numbers.

Hence, the domain will be the set of natural numbers.

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Answer:

the graph will show exponential decay.

the domain will be the set of natural numbers.

Step-by-step explanation:

The answer above is correct.

Answer: To solve the inequality, we need to find the values of x that make the expression greater than or equal to 0.

x - 4/1 ≥ 0

Adding 4/1 to both sides, we get:

x ≥ 4/1

Simplifying, we get:

x ≥ 4

Therefore, the values of x that make the inequality true are:

4/3

0

1

So the correct answers are B, C, and E.

Step-by-step explanation:

Answer:

Brainliest if I am right? uwu

Answer:

Step-by-step explanation:

Here, we want to graph the given equations

1. y = 2x - 3

The general form of the equation of a straight line is;

y = mx + b

m is the slope and b is the y-intercept

To plot the line, we need the x intercept and the y-intercept

At the x-intercept, the value of y is zero

at the y-intercept . the value of x is zero

From the equation, we have the y-intercept as -3

To get the x-intercept, set y = 0

0 = 2x - 3

2x = 3

x = 3/2

x = 1.5

so to graph the line, we have to join the points ;

(0,-3) and (1.5,0)

b) y = -3x + 2

The y-intercept is 2

To get the x intercept, set y = 0

0 = -3x + 2

3x = 2

x = 2/3

so, we have to join the points (2/3,0) and (0,2)

We have the lines plotted as an attachment

Answer: See explanation

Step-by-step explanation:

Your question wasn't well written but I saw an identical question so let me help out.

a. Jada has a meal in a restaurant she adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00. When the check comes, it says they also need to pay $3.99 in sales tax. what percentage of the subtotal is the sales tax?

b. They actually pay $52.99. The additional $7 is a tip for the server. What percentage of the subtotal is the tip?

a. Subtotal = $42.00

Tax = $3.99

Percentage of subtotal that is sales tax will be:

= Sales tax/Subtotal × 100

= 3.99/42.00 × 100

= 9.5%

b. Tip = $7

Sub total = $42

The percentage of the subtotal that is the tip will be:

= Tip/Sub total × 100

= 7/42 × 100

= 16.67%

Therefore, After 20 minutes, there are approximately 11.9 kg (rounded to one decimal place) of salt in the tank.

To solve this problem, we need to consider the rate of change of the amount of salt in the tank over time.

(a) Let's denote the amount of salt in the tank after t minutes as y (in kg). We can set up a differential equation to represent the rate of change of salt:

dy/dt = (rate of salt in) - (rate of salt out)

The rate of salt in is given by the concentration of salt in the incoming water (0 kg/L) multiplied by the rate at which water enters the tank (90 L/min). Therefore, the rate of salt in is 0 kg/L * 90 L/min = 0 kg/min.

The rate of salt out is given by the concentration of salt in the tank (y kg/9000 L) multiplied by the rate at which water leaves the tank (90 L/min). Therefore, the rate of salt out is (y/9000) kg/min.

Setting up the differential equation:

dy/dt = 0 - (y/9000)

dy/dt + (1/9000)y = 0

This is a first-order linear homogeneous differential equation. We can solve it by separation of variables:

dy/y = -(1/9000)dt

Integrating both sides:

ln|y| = -(1/9000)t + C

Solving for y:

y = Ce^(-t/9000)

To find the particular solution, we need an initial condition. We know that at t = 0, y = 12 kg (the initial amount of salt in the tank). Substituting these values into the equation:

12 = Ce^(0/9000)

12 = Ce^0

12 = C

Therefore, the particular solution is:

y = 12e^(-t/9000)

(b) To find the amount of salt in the tank after 20 minutes, we substitute t = 20 into the particular solution:

y = 12e^(-20/9000)

y ≈ 11.8767 kg (rounded to one decimal place)

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Step-by-step explanation:

3:74

x:2500

(3x2500)/74

=101

Answer:

100

Step-by-step explanation:

The indefinite integral of

\(3 tan(5x) sec^2(5x) dx ~is~ (3/10) tan^2(5x) + (3/20) tan^4(5x) + C\),

where C is the constant of integration.

We have,

To find the indefinite integral of 3 tan (5x) sec²(5x) dx, we can use the substitution method.

Let's substitute u = 5x, then du = 5 dx. Rearranging, we have dx = du/5.

Now, we can rewrite the integral as ∫ 3 tan (u) sec²(u) (du/5).

Using the trigonometric identity sec²(u) = 1 + tan²(u), we can simplify the integral to ∫ (3/5) tan(u) (1 + tan²(u)) du.

Next, we can use another substitution, let's say v = tan(u), then

dv = sec²(u) du.

Substituting these values, our integral becomes ∫ (3/5) v (1 + v²) dv.

Expanding the integrand, we have ∫ (3/5) (v + v³) dv.

Integrating term by term, we get (3/5) (v²/2 + \(v^4\)/4) + C, where C is the constant of integration.

Substituting back v = tan(u), we have (3/5) (tan²(u)/2 + \(tan^4\)(u)/4) + C.

Finally, substituting u = 5x, the integral becomes (3/5) (tan²(5x)/2 + \(tan^4\)(5x)/4) + C.

Simplifying further, we have \((3/10) tan^2(5x) + (3/20) tan^4(5x) + C.\)

Therefore,

The indefinite integral of \(3 tan(5x) sec^2(5x) dx ~is~ (3/10) tan^2(5x) + (3/20) tan^4(5x) + C\), where C is the constant of integration.

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Answer:

18.2

Step-by-step explanation:

To round 18.194 to the nearest tenth consider the hundredths’ value of 18.194, which is 9 and equal or more than 5. Therefore, the tenths value of 18.194 increases by 1 to 2.

18.194 rounded to the nearest tenth = 18.2

Based on the question given, the volume of the gas tank is V = 15.19π ft³.

To find the volume of the gas tank, we can use the formula for the volume of a cylinder:

Volume = π x  r² x h

From the question, the dimensions are:

r = 1.5 ft ->  that is half the diameter of 3 ft.

h = 6.75 ft.

We have to substitute the radius (r)  and  height (h) into the formula and it will be:

Volume = π x 1.5²  x 6.75 ft

                   π x  15.1875 ft³

              = 15.19 π cubic feet

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Answer:

10 cm wide, 20cm long

Step-by-step explanation:

That's what I got

Answer:

Mean: 20

Median: 16

Mode: No mode

Step-by-step explanation:

For the mean:

44 + 4 + 27 + 5 = 80

80/4 = 20

For the median:

5 + 27 = 32

32/2 = 16

For the mode:
None of the numbers are repeated.

Answer:

12 upon 30 is the write answers I think and it would help you

Answer:  7/24 ≅ 0.2916667

Step-by-step explanation: QUICK MATH

The distance between the two tangent lines is $0$.

Let's first draw a diagram to better understand the problem:

css

Copy code

       A

      / \

     /   \

    /     \

   B-------C

We are given that $AB$ and $BC$ are diameters of circles with radius $1$. Let $O_1$ and $O_2$ be the centers of the circles with diameters $AB$ and $BC$, respectively. Since $AB$ and $BC$ are diameters, $O_1$ and $O_2$ coincide with $B$.

Let $D$ be the point where the tangent to the circle with diameter $BC$ intersects $AB$, and let $E$ be the point where the tangent to the circle with diameter $AB$ intersects $BC$. Since the tangent lines are parallel, we have $\angle CDE = \angle ABC$. Furthermore, we know that $\angle ABC =\(90^\circ$\) since $AB$ is a diameter. Therefore, $\angle CDE = \(90^\circ$.\)

css

Copy code

       A

      / \

     /   \

    /     \

   B-------C

     \   /

      \ /

       D

Since $\angle CDE = \(90^\circ$\), we have $CD \perp DE$. Since $AB$ is a diameter, $AB \perp DE$. Therefore, $CD$ and $AB$ are parallel lines.

Let $F$ be the point where the tangent to the circle with diameter $BC$ intersects $CD$. We know that $AB \parallel CD$, so $\angle CDF = \angle ABC =\(90^\circ$\). This means that $CDF$ is a right triangle.

css

Copy code

       A

      / \

     /   \

    /     \

   B-------C

     \   / |

      \ /  |

       D   |

       |   |

       F   |

Let $x$ be the distance between the tangent lines. We want to find the value of $x$.

We have $DF = 1$ since $DF$ is a radius of the circle with diameter $BC$. We also have $CD = x$ since $CD$ is parallel to $AB$. Using the Pythagorean theorem in triangle $CDF$, we can find $CF$:

\($CF^2 = DF^2 + CD^2 = 1^2 + x^2 = x^2 + 1$\)

Since $CF$ is a radius of the circle with diameter $AB$, we have $CF = 1$. Therefore,\($x^2 + 1 = 1^2\)$, which gives us \($x^2 = 0$\). Since $x$ represents a distance, we can conclude that $x = 0$.

Therefore, the distance between the two tangent lines is $0$.

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Answer:

10x^2+8x+3

Step-by-step explanation:

Add 5x^2 and 5x^2 which is 10x^2

Add 3x and 5x which is 8x

add 4 and -1 which is 3

Final answer: 10x^2+8x+3

Hope this helps!

Answer:

The crew expects their voyage to last 8 days.

Step-by-step explanation:

There are initially 145 lb of food in the sailboat.

The crew plans to eat 15 lb of food per day, and they want to leave 25 lb of food remaining when they end the voyage.

The amount of food to eat during the voyage is 145 - 25 = 120 lb.

Since the daily consumption of food is 15 lb, there is enough food for 120/15 = 8 days.

The crew expects their voyage to last 8 days.

The resulting confidence interval will give you the range of values within which the true slope of the line is likely to fall, with a 90% level of confidence.

To find a 90% confidence interval for the slope of the true line describing the association between Math and Verbal scores, we would need to conduct a regression analysis on the data. This would allow us to estimate the slope of the line and calculate a confidence interval around that estimate.

Assuming that we have already conducted the analysis and obtained the necessary statistics, let's say that our estimate for the slope is 0.8 with a standard error of 0.2. Using a t-distribution with n-2 degrees of freedom (where n is the sample size), we can calculate a 90% confidence interval around our estimate by multiplying the standard error by the appropriate t-value (in this case, 1.645) and adding and subtracting the resulting value from our estimate.

Thus, our 90% confidence interval for the slope would be (0.8 - (1.645*0.2), 0.8 + (1.645*0.2)) = (0.452, 1.148). This means that we can be 90% confident that the true slope of the line describing the association between Math and Verbal scores falls somewhere within this interval.

In this context, our confidence interval tells us how uncertain we are about the true relationship between Math and Verbal scores. Specifically, it tells us that there is a 90% chance that the true slope of the line falls within the range of 0.452 to 1.148. This means that we cannot be absolutely certain about the direction or strength of the relationship between these two variables, but we can be reasonably confident that it falls within this range.

a) To find a 90% confidence interval for the slope of the true line describing the association between Math and Verbal scores, follow these steps:

Step 1: Obtain the data for both Math and Verbal SAT scores.

Step 2: Perform a linear regression analysis to obtain the sample slope (b) and its standard error (SE).

Step 3: Determine the critical value (t) for the 90% confidence level. This can be found using a t-table or a calculator with the appropriate degrees of freedom (n-2, where n is the number of data points).

Step 4: Calculate the margin of error by multiplying the standard error (SE) by the critical value (t).

Step 5: Create the confidence interval by adding and subtracting the margin of error from the sample slope (b).

The resulting confidence interval will give you the range of values within which the true slope of the line is likely to fall, with a 90% level of confidence.

b) In this context, the 90% confidence interval for the slope means that we are 90% confident that the true slope of the line describing the association between Math and Verbal scores falls within the calculated range. This gives us an indication of the strength and direction of the relationship between the two variables. If the interval contains only positive values, it suggests a positive association between the scores; if it contains only negative values, it suggests a negative association; and if it includes zero, we cannot conclude that there is a significant association between Math and Verbal scores at the 90% confidence level.

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The exact probability that this museum gets at least 3 visitors in a minute is approximately 0.224

A Poisson distribution is a probability distribution that models the number of times an event occurs within a given time or space, if these events are rare and independently of the time since the last event. The Poisson distribution is characterized by the mean number of occurrences λ in a given interval.

In this case, the mean number of visitors per minute is λ = 5 visitors / 2 minutes = 2.5 visitors per minute.

We can use the Poisson probability mass function to find the probability that this museum gets at least 3 visitors in a minute.

To find the probability that this museum gets at least 3 visitors in a minute by using:

1 - P(X < 3)

Where X is the number of visitors in a minute and 3 is the lower limit of the number of visitors we want to include in the sample.

Thus, P(X>=3) = 1 - P(X < 3) = 1  - 0.776 = 0.224

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4.61 x 10¹⁷ atoms of radon means that is the total number of atoms in the  element and is dependent on the number of mole.

This is referred to as the proportionality factor that relates the number of constituent particles in a sample with the amount of substance in that sample.

One mole of a substance is equal to 6.022 × 10²³ units of that substance (such as atoms, molecules, or ions). The number 6.022 × 10²³ is known as Avogadro's number or Avogadro's constant. The concept of the mole can be used to convert between mass and number of particles.

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Answer:

Hope it helps you,

Step-by-step explanation:

As the figure can be split in to 3 geometric figure,

Rectangle , Triangle and Semi circle ,

So first find the area of these figures then add up them ,

Area of rectangle = Length * width

Length = 20m m  and  width  = 14 mm

hence

Area of rectangle = 20*14  = 280 mm^2

Now ,

Are of  Circle  =  \(\\ \pi *d^{2} /4\)

Then Area of semi circle = \(\\ \pi *d^{2} /8\)

Hence we have d= 20mm

Putt in semi circle formula we get,

Area of Semi Circle= (3.14)*400/8  = 157 mm^2

Now area of triangle = 1/2 * length*width

length =32-20 = 12 mm

width = 14 mm

putt in the formula we get ,

Area of triangle = 1/2*12*14 = 84 mm^2

Now add these 3 Areas to get total Area,

Answer: I HOPE IT HELPS

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