Question 3 (25 points) We throw a fair coin ('heads' versus 'tails') three times, where the probability of heads in each throw is 50%. Define as random variable x the number of heads resulting from th

The probability of producing less than 239,000 barrels is 0.8413.

The probability of producing less than 239,000 barrels can be found using the z-score formula. The z-score formula is given by:
z = (x - μ) / σ
Where x is the value we are interested in, μ is the mean, and σ is the standard deviation.
Plugging in the given values, we get:
z = (239,000 - 232,000) / 7,000
z = 1
Now, we can use the standard normal table to find the probability of producing less than 239,000 barrels. The standard normal table gives the probability of a value being less than a given z-score. For a z-score of 1, the probability is 0.8413.
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The values of r match with the scatterplots as follows: Scatterplot 1 - no match, Scatterplot 2 - r = -0.994, Scatterplot 3 - r = 0.743, Scatterplot 4 - r = -0.713, and Scatterplot 5 - r = 0.

Based on the given scatterplots and values of r, we need to match each value of r with the corresponding scatterplot. Let's analyze each scatterplot and find the best match for each value of r.

Scatterplot 1 has a correlation coefficient of r = 0.342, which does not match any of the given values of r.

Scatterplot 2 has a correlation coefficient of r = -0.994, which matches with the value of r = -0.994.

Scatterplot 3 has a correlation coefficient of r = 0.743, which matches with the value of r = 0.743.

Scatterplot 4 has a correlation coefficient of r = -0.713, which matches with the value of r = -0.713.

Scatterplot 5 has a correlation coefficient of r = 0, which matches with the value of r = 0.

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Explanation:

Angle E is 90 degrees. The segment DC = 53 is opposite this angle. Note how "DC" does not contain the letter "E". Furthermore, note how this is the largest side. So it's the hypotenuse.

The side ED = 28 is the opposite side of reference angle C, because "C" is nowhere to be found in the sequence "ED".

The side CE = 45 is the adjacent side because "E" is found in "CE".

The tangent ratio is...

tan(angle) = opposite/adjacent

tan(C) = ED/CE

tan(C) = 28/45

Answer:

Step-by-step explanation:

g to the power of 8 *h hope this helped

nh to the power of 8

Answer:

He multiplied 3/4 by 1/5 instead of dividing 3/4 by 1/5.

Step-by-step explanation:

Correct is 3/4 / 1/5

= 3/4 * 5

= 15/4 gallons per minute.

Answer:

He multiplied 3/4 by 1/5 instead of dividing 3/4 by 1/5

Step-by-step explanation:

Answer:

Angle 4 is greater, it looks like is a 90 degree angle. so I will say is angle 4

Try [x]([2.25]+[3])

Sorry for no explanation do math in my head all the time so i cant say how i solved it

Answer:

2.25x + 3 = 0.05 ( 45x + 60 )

Step-by-step explanation:

When you factorise two terms, their common factor would be outside the bracket and the quotient of the factor and the number would be inside the bracket.

In this case, 2.25x and 3 have a common factor of 0.05, so 0.05 would be at the left-hand side of the diagram and outside the bracket at the bottom.

2.25x = 0.05 × 45x

3 = 0.05 × 60

Thus, 45x would be at the top left of the diagram since 45x and 0.05 form 2.25x and 60 would be at the top right of the diagram since 60 and 0.05 form 3.

2.25x + 3 = 0.05 ( 45x + 60 )

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.

Tip: The symmetric property of equality states that no matter what side the equations and answer are it will still be equal, but it only works for the equal sign.

The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.

A number system is defined as a system of writing to express numbers.

Given that 12 = 17 - 5, then 17 - 5 = 12

we need to check which property will be used.

The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.

The symmetric property of equality is really quite simple. This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement.

Hence, the math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.

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the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

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Answer:

takes him 8.4 hrs

Step-by-step explanation:

if 1/4=18inch then 3 1/2=7/2 so 7/2 divide by 1/4=14 then 18 x 14=252

so distance is 252 miles

speed is 30mph so 252/30=8.4h

the answer might need the 0.4 in hrs too

We can use the equation for the angle of the bright fringes in a double-slit experiment. The answer is D. 15.1o.

where θ is the angle of the bright fringe, m is the order of the fringe (in this case, m=3), λ is the wavelength of the incident light, and d is the distance between the slits.

Plugging in the given values, we get:

sinθ = (3)(5.04x10^-7m)/(5.82x10^-5m) = 0.260

Taking the inverse sine of both sides, we get:

θ = sin^-1(0.260) = 15.1o

Therefore, the answer is D. 15.1o.

To find the angle of the 3rd order bright fringe, we can use the formula for the double-slit interference pattern:

mλ = d * sinθ

where m is the order number (3 in this case), λ is the wavelength of the incident light (5.04x10^-7 m), d is the distance between the slits (5.82x10^-5 m), and θ is the angle we want to find.

First, rearrange the formula to solve for the angle:

sinθ = (mλ) / d

Now, plug in the given values:

sinθ = (3 * 5.04x10^-7 m) / 5.82x10^-5 m

Calculate the result:

sinθ = 0.02594

Now, find the inverse sine (arcsin) of the result to get the angle:

θ = arcsin(0.02594) ≈ 1.49°

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The statement that is false of quadrilaterals is C. Adjacent angles in a parallelogram are complementary.

In the tapestry of geometrical relationships, adjacent angles within a parallelogram are not bestowed with the nature of complementarity. Rather, they exhibit a distinct quality known as supplementary.

Unlike the enchanting dance of complementary angles, which combine to form a sum of 90 degrees, adjacent angles in a parallelogram intertwine their measures to yield a sum of 180 degrees. The allure of the parallelogram resides in the congruence of its opposite angles, not the complementarity of its adjacent angles.

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Answer:

-9 \(\frac{1}{4}\)

or

-9.25

Step-by-step explanation:

Answer:

-9.25

Step-by-step explanation:

Can i be made brainliest and the answer is at the top.

Answer:

40 mph but i could be wrong :)

Step-by-step explanation:

It's literally the median and uhh it might also be 32 so choose either 32 or 40 :D

The magnitude of the resultant force can be found using the law of cosines, and it is approximately 692 pounds.

The direction of the resultant force can be found using the law of sines, and it is approximately 14.6° with respect to the positive x-axis

To find the magnitude of the resultant force, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of their magnitudes and the cosine of the included angle.

In this case, the two sides are the magnitudes of the given forces (300 pounds and 500 pounds), and the included angle is the angle between the forces.

Applying the law of cosines, we have: Resultant force^2 = 300^2 + 500^2 - 2 * 300 * 500 * cos(60° - (-45°))

Calculating this equation, we find that the resultant force^2 is approximately equal to 479,200 pounds^2. Taking the square root of this value, we get the magnitude of the resultant force, which is approximately 692 pounds.

To find the direction of the resultant force, we can use the law of sines. The law of sines states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, the sides are the magnitudes of the forces, and the opposite angles are the angles between the forces and the positive x-axis.

Applying the law of sines, we have: (sin θ) / 500 = (sin 60°) / Resultant force

Solving for θ, we find that sin θ is equal to (sin 60°) / (Resultant force / 500). Calculating this equation, we get sin θ is approximately 0.250.

Taking the inverse sine of this value, we find that θ is approximately 14.6°. Therefore, the direction of the resultant force is approximately 14.6° with respect to the positive x-axis.

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Using the Root Test, the correct answer is: Converges

To determine if the series converges or diverges using the Root Test, follow these steps:

1. Define the series: ∑(ln(n)/9n−6)^n
2. Apply the Root Test by taking the n-th root of the series: (ln(n)/9n−6)
3. Evaluate the limit as n approaches infinity: lim (n->∞) (ln(n)/9n−6)
4. Compare the limit with 1: if the limit is less than 1, the series converges; if the limit is greater than 1 or is infinite, the series diverges; if the limit equals 1, the test is inconclusive.

Now, let's evaluate the limit:

lim (n->∞) (ln(n)/9n−6)

First, note that the denominator (9n-6) grows faster than the numerator (ln(n)). Since the denominator grows faster than the numerator, the limit will approach zero.

lim (n->∞) (ln(n)/9n−6) = 0

Since the limit is less than 1 (0 < 1), the series converges.

Therefore, the correct answer is:
Converges

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Answer:

They wont meet

Step-by-step explanation:

The one going 110 will pass before the other one can reach it.

Please mark me the brainliest, 5 stars, and a thanks! Have a great day!

It will take 2.6 hours (or 2 hours and 36 minutes) long for the two trains to meet when Two trains leave stations 520 miles apart at the same time and travel toward each other.

To find the time it will take for the two trains to meet, we can use the concept of relative speed.

The two trains are traveling towards each other, so their speeds add up. The combined speed of the two trains is:

110 mph + 90 mph = 200 mph

To determine the time it will take for the trains to meet, we can divide the total distance they need to cover (520 miles) by their combined speed (200 mph):

Time = Distance / Speed

Time = 520 miles / 200 mph

Time = 2.6 hours

Therefore, it will take 2.6 hours (or 2 hours and 36 minutes) for the two trains to meet.

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Answer:

it depends on the choices

Step-by-step explanation:

You must not pass on a curve or the crest of a hill if you cannot see at least 500 feet ahead.

This statement is referring to a basic safety rule of driving. Passing on a curve or the crest of a hill can be very dangerous since visibility is limited, and the driver may not be able to see approaching vehicles until it is too late to avoid a collision.

The amount of distance that a driver must be able to see ahead before passing depends on various factors such as the speed of the vehicles, road conditions, and weather conditions.

However, a general rule of thumb is that a driver should be able to see at least 400 feet ahead before passing. This distance allows the driver enough time to react if another vehicle suddenly appears or if there is an obstacle on the road.

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The two numbers are 7/6 and 5 when the sum of two numbers is 3 more than four times the first number.

Let's call the two numbers x and y, where x is the first number and y is the second number.

The problem gives us two equations that relate the two numbers:

\(x + y = 3 + 4x\\y - x = 2y - 10\)

We can substitute the expression for y from equation 1 into equation 2:

\(y - x = 2(3 + 4x) - 10\)

Expanding the right side and simplifying, we get:

\(y - x = 6 + 8x - 10\\y - x = 8x - 4\)

Adding x to both sides:

\(y = 9x - 4\)

Substituting this expression for y into equation 1:

\(x + (9x - 4) = 3 + 4x\)

Expanding and simplifying the right side:

\(10x - 4 = 3 + 4x\)

Subtracting 4x from both sides:

\(6x - 4 = 3\)

Adding 4 to both sides:

\(6x = 7\)

Dividing both sides by 6:

\(x = 7/6\)

Substituting this value of x back into the expression for y:

\(y = 9x - 4 = 9 * (7/6) - 4 = 63/6 - 4 = 9 - 4 = 5\)

So the two numbers are 7/6 and 5.

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The expressiοn syntax tree fοr the given well-balanced algebraic expressiοn is cοnstructed.

Let's gο thrοugh the steps tο cοnstruct an expressiοn syntax tree fοr a given well-balanced algebraic expressiοn. We'll use the stack, infix tο pοstfix, and pοstfix evaluatiοn tree cοnstructiοn techniques.

Let's assume we have the fοllοwing well-balanced algebraic expressiοn:

((a+b)*(c-d))/e

Step 1: Infix tο Pοstfix Cοnversiοn

We'll cοnvert the given infix expressiοn tο pοstfix nοtatiοn using the stack.

Infix Expressiοn: ((a+b)*(c-d))/e

Pοstfix Expressiοn: ab+cd-*e/

Step 2: Cοnstructing the Pοstfix Evaluatiοn Tree

We'll use the pοstfix expressiοn tο build the evaluatiοn tree. Each οperand and οperatοr will be represented as a nοde, and the οperands will be the children οf the οperatοr nοdes.

Pοstfix Expressiοn: ab+cd-*e/

Step 3: Infix Traversal

We'll perfοrm an infix traversal οf the evaluatiοn tree tο οbtain the expressiοn in infix nοtatiοn.

Infix Traversal: ((a+b)*(c-d))/e

Sο, the expressiοn syntax tree fοr the given well-balanced algebraic expressiοn is cοnstructed.

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Answer:

$41.78

Step-by-step explanation:

tax is 4.5% on top of original price of 39.98

so multiplying 39.98 by 1.045 gives us 41.78

you multiply by 1.045 because 4.5% is the same as 0.045 and the 39.98 represents 100% of the price so it is 1 and you are paying 104.5% of that price for it when tax is included

The pattern of error seems to be adding 4 and subtracting 10 in each calculation.

In the first example, the student adds 4 to the correct sum of 10 and 6, resulting in 14 instead of the correct answer of 16. In the second example, the student subtracts 10 from the correct difference of 11 - 5, resulting in 1 instead of the correct answer of 6.

From these examples, we can observe a consistent pattern in the errors made by the student. Specifically, the student is adding 4 to the correct sum and subtracting 10 from the correct difference. This suggests that the student may have misunderstood or misapplied the rules of addition and subtraction.

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We should allocate the workers as follows: {HLH,LHL} {HLL,LHH} {HHH,LLL} to get the maximum output.

The O-ring model states that production output depends on the quality of each worker. The quality of the final product is determined by the lowest quality worker working on the project.

In the given case, we have two types of workers: H-type and L-type.

The H-type workers have a quality of q=0.6, and the L-type workers have a quality of q=0.4.

We are to determine how to allocate the workers to get the maximum output.

The answer is all of the above.{HLH,LHL} {HLL,LHH} {HHH,LLL} is the allocation we need to get maximum output.

Here's how we arrive at the solution:

For the O-ring model, we need to group the workers in a way that minimizes the number of low-quality workers in a group.

We can have two possible groupings as follows:

{HLH,LHL} - This group has a minimum q of 0.4, which is the quality of the L-type worker in the middle of the group.

{HLL,LHH} - This group also has a minimum q of 0.4, which is the quality of the L-type worker on the left of the group.

The other grouping, {HHH,LLL}, has all low-quality workers in one group and all high-quality workers in another group. This is not ideal for the O-ring model as the low-quality workers will negatively affect the output of the high-quality workers.

Thus, to get the maximum output, we should allocate the workers as follows:

{HLH,LHL} {HLL,LHH} {HHH,LLL} all of the above

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The present value of a cash inflow of 1250 four years from now, given a required rate of return of 8%, is 918.79, rounded to 2 decimal places. Therefore, option (c) is the correct answer.

To find the present value of a future cash inflow, we need to discount the future value by a factor that takes into account the time value of money, or the opportunity cost of waiting for the money.

This factor is determined by the required rate of return, which is the minimum rate of return that an investor expects to earn on an investment with a similar level of risk.

In this case, we have a cash inflow of 1250 that will be received four years from now, and a required rate of return of 8%. To find the present value, we can use the formula for the present value of a single cash flow:

PV = FV / (1 + r)^n

where PV is the present value, FV is the future value, r is the required rate of return, and n is the number of years.

Plugging in the values, we get:

PV = 1250 / (1 + 0.08)^4

PV = 918.79

Therefore option (c) is the correct answer.

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Answer:

95

Step-by-step explanation:

Answer:

He won 6 games and lost 24 games.

Let x be the cost of the meal.

According to the problem, Manuel left a 12% tip on the meal, which means he paid 100% + 12% = 112% of the cost of the meal.

We can express this in an equation as:

x * 1.12 = 42.95

Simplifying the equation, we get:

x = 42.95 / 1.12

x ≈ 38.37

Therefore, the cost of the meal was approximately $38.37.