Daniel teaches archery at a club. He conducts an experiment to test the effectiveness of two basic training programs. The Alpha
training program claims to increase the shooting accuracy of beginners by at least 20%. The Beta training program claims to increase
the shooting accuracy of beginners by at least 25%.
Daniel randomly selects 40 beginners from the club. He then randomly assigns 20 people to the Alpha training program and the
remaining 20 people to the Beta training program.
After both training programs are complete, Daniel evaluates the shooting accuracy of the trainees over five trials. He reports that, on
average, the accuracy of those who use the Alpha training program increases by 25% and the accuracy of those who use the Beta
training program increases by 15%.
The Alpha training program's claim is
The Beta training program's claim is
training program is more effective because the increase in accuracy was
The
training program.
than that of the other.

 I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.

However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.

Now,  I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

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To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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The surface area of the cube given in the above diagram would be = 1922.46 in².

To calculate the surface area of the cube, the formula that should be used would be given below as follows:

Surface area of cube = 6(a)²

a = side length= 17.9

SA=6(17.9)²

= 6×320.41

= 1,922.46 in²

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The possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm

The given parameters are

Area = 15 square cm

The area is given as

Area = 15 square cm

The formula of area is

Area = Length x Width

Using the above formula, we have:

A) 1 cm and 15 cm ⇒ 15 square cm

B) 2 cm and 7 cm ⇒ 14 square cm

C) 3 cm and 5 cm ⇒ 15 square cm

D) 4 cm and 4 cm ⇒ 16 square cm

Hence, the possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm

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Possible question

The area of a rectangle is 15 square cm

Which of the following could be the rectangle's length and width?

(Area = length x width)

Choose all answers that apply:

A) 1 cm and 15 cm

B) 2 cm and 7 cm

C) 3 cm and 5 cm

D) 4 cm and 4 cm

Answer:

p = 6 , q = 43

Step-by-step explanation:

x² + 12x - 7

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

=x² + 2(6)x + 36 - 36 - 7

= (x + 6)² - 43 ← in the form (x + p)² - q

with p = 6 and q = 43

The power of 0.95 shows that there is a 95% chance of rejecting the alternative hypothesis of p = 0.16 where the true proportion is actually 0.08. That is if the proportion of users who experience abdominal pain is actually 0.08, then there is a 8% chance of supporting the claim that the proportion of users who experience abdominal pain is more than 0.08.

Given that the alternative value of p is 0.16, it means that the power of the test is 0.95.

This means that if the true proportion of drug users experiencing abdominal pain is indeed 0.16, then by conducting the hypothesis test with a significance level of 0.05, we will correctly reject the null hypothesis and support the claim that more than 8% (0.08) of the drug's users experience abdominal pain with a probability of 0.95.

In other words, the power of 0.95 indicates that the test has a high chance (95%) of correctly detecting a true difference and correctly concluding that the proportion of drug users experiencing abdominal pain is greater than 8% when the true proportion is actually 16%. It demonstrates the test's ability to identify and support the alternative hypothesis when it is true.

It's important to note that the power of the test is influenced by factors such as sample size, significance level, effect size, and variability. In this case, with a power of 0.95, there is a high probability of detecting the claimed difference if it truly exists.

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Hey there! I'm happy to help!

First, let's find the area of the two circles that make up the top and bottom of the cylinder. To find the area of a circle, you square the radius multiply it by pi (we will use 3.14)

15.8²=249.64

249.64×3.14=783.8696

Since there are two of these circles we multiply this by 2.

783.8696×2=1567.7392

Now, for the rectangle. To make a cylinder, you take a rectangle and wrap it around the top and bottom circles. One side of this rectangle is the height of the cylinder, and the other is the circumference of the circle (one side wraps all the way around the circle, which is the circumference).

The circumference is the diameter multiplied by 3.14 (pi). The diameter is twice the radius.

15.8×2=31.6

31.6×3.14=99.224

We multiply this by the height.

99.224×4.4=436.5856

Now, we add the areas of the circles and the rectangle.

1567.7392+436.5856=2004.3 (rounded to nearest tenth)

This is closest to D. 2005.3 ft². It is probably a bit off because I used 3.14 instead of actual pi.

Have a wonderful day! :D

Answer: Slavery

Step-by-step explanation:

Answer:

D) Slope of Funcation B = - Slope of Function A

Step-by-step explanation:

The equation for the line is:

y=mx+b

Where m is the slope and b is the y-intercept

In this question, we are only interested in the slope.

For function A, we can see that the equation is f(x) = -2x + 1

Going back to the equation, we can see that -2 is the slope

Now for function B, we need to find the slope by looking at the graph.

To do this, you need to remember that the slope is y/x, or rise over run. (This is saying that every time the y happens, the x also happens. For example, if the slope is 1/2, every time the line goes up 1 unit, it goes to the right 2 units)

So for the function, we can see that when you move to the right 1 unit (run), you also move up 2 units (rise), so the slope would be

2

Comparing the slope of both the functions

Function A is -2

and

Function B is 2

So the answer is D

The solution to the equation 3x = 8 - 2x is x = 1.6.

To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:

Express the equation in the form of y = f(x). Rearrange the equation:

3x + 2x = 8

5x = 8

x = 8/5 or 1.6

Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.

Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.

The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).

Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.

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Answer:

The digit that fit into the blank space is 6

Step-by-step explanation:

Here, we want to enter digits into the blank space that can make the expression valid.

Let’s try 6;

6583 < 6612 < 6687

This is actually correct.

Can we have any other digit here?

No, i don’t think so.

Putting in a 5 will make the first number greater than the middle

Putting in a 7 will make the middle number greater than the last and thus render the expression invalid

Answer:

If the vertical line intersects the graph in at most one point, then the given graph represents a function. If the vertical line intersects the graph in more than one point, then the given graph does not represent a function.

I HOPE IT HELPS

TAKE CARE

Step-by-step explanation:

Answer:

Step-by-step explanation:

For a graph to be a function, there must not be more than one element in the range for each element of the domain.

If x represents the doman, and y represents the range (as usual, in graphing) then each value on the the x-axis should not have more than one point in the graph on it, directly above it, or directly below it. Like if you had a point (5, 7) and also had point (5, -7), that is not a function. The x, 5, has more than one y-value  paired with it.

Visually, any vertical line through the graph should not intersect the graph at more than one point. If it does, then the graph is not a function.

This is called the vertical line test.

I have attached a graphic.

In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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Answer:

Please help me important question in image

Step-by-step explanation:Please help me important question in image

Please help me important quePlease help me important question in image

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Please help me important question in image

Please help me important question in image

Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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Answer:

45 degrees

Step-by-step explanation:

The 4 angles of a quadrilateral will add to 360.

We know 1 of them (angle B) is 90 degrees.

We can set up an equation to solve the others.

2x+3x+x+90 = 360

Now solve for x.

Start by combining the x terms together.

6x+90 = 360

6x = 360-90

6x = 270

(6x/6) = 270/6

x = 45 degrees

Check back to see if that makes sense and if the equation equals 360 when x is 45:

2x+3x+x+90 = 360

2(45)+3(45)+45+90=360.

The amount that the taxpayer is owing in taxes is $2,691.05.

We have,

Income tax payable refers to a business organization's tax liability to the government in the jurisdiction in which it operates. The amount of liability will be determined by the company's profitability over a given time period and the applicable tax rates. Tax payable is considered a current liability rather than a long-term liability because it must be settled within the next 12 months.

Based on the table, we are using the tax rate of 15% for the taxable income of $11,757.

The tax payable will equals to:

= 15%*$11,757 + $927.50

= $1,763.55 + $927.50

= $2,691.05

Hence, The amount that the taxpayer is owing in taxes is $2,691.05.

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complete question:

Based on this table, if someone had a taxable income of $11,757, how much would they owe in taxes?

A more modern explanation would be, "Parallel lines are two lines within a given plane that never intersect."

Two lines on a sphere are an illustration that defies the notion of parallel lines. Meridians are the name given to longitude lines on spheres like the Earth.

Meridians are lines that run parallel to one another from the North Pole to the South Pole. However, if we take into account two meridian lines, they will cross at the North and South Poles. Two lines that are originally parallel will, therefore, eventually intersect at the poles on a sphere, defying the notion of parallel lines.

We can change the original definition of parallel lines to read, "Parallel lines are two lines that do not intersect within a given plane."

This adjustment accounts for the fact that lines can exist in many geometrical contexts, such as on a sphere or in three-dimensional space, where the idea of parallelism may be different. By including the phrase "within a given plane," we restrict the concept to the typical geometry seen in Euclidean geometry, where parallel lines do not meet.

A newer definition may therefore read, "Parallel lines are two lines within a given plane that never intersect." This updated definition makes clear that parallel lines must be taken into account inside a certain plane in order to maintain their validity, while also acknowledging the limitations of the idea.

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The prime factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

The easy way I was taught how to find the product of primes is: Draw a vertical line. On the left write your number. On the right, write the smallest Prime number that is a factor of this number (i.e ask, does it divide by 2? If the answer is no, then ask does it divide by 3, 5, 7 etc etc until you find a number that does). Then divide the number on the left by the number on the right and write it under the number on the left. Repeat this process until the number on the left is equal to the number on the right (i.e. a prime number).

eg, for 240:

240 | 2

120 | 2

60 | 2

30 | 2

15 | 3

5 | 5

The value of x is 13°

When two lines intersect, four angles are formed. There are two pairs of nonadjacent angles. These pairs are called vertical angles.

In a coordinate plane, a line parallel to the Y-axis is called Vertical Line. It is a straight line which goes from top to bottom and bottom to top. Any point in this line will have the same value for the x-coordinate.

We have:

The angles are:

m ∠ A=(2x−2) ∘ and ∠ B=(3x−15) ∘

We have to find the value of x

Now, We know that :

m ∠A = m ∠B  (Def. of Vertical Angles)

(2x−2) = (3x−15)

Combine the like terms:

2x - 3x = -15 + 2

-x = -13

x = 13

The value of x is 13°

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answer: 85+85+85+25



The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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The given polynomial has two distinct real zeroes and the real zeroes are; x = -6 and x = 5.

The distinct real zeroes of the polynomial are as follows;

Given; f(x) = (x+6)² (x-5) (x² + 9)

The distinct zeroes are therefore; x = -6, x = 5 and x = ±3i.

Ultimately, since ±3i are complex zeroes; it follows that there are two distinct real zeroes which are; x = -6 and x = 5.

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Using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.

To approximate the integral [sin(x²+1) dx] using the trapezoidal rule with 5 ordinates, we can use the following formula:

∫[a,b]f(x)dx ≈ [(b-a)/2n][f(a) + 2f(a+h) + 2f(a+2h) + 2f(a+3h) + 2f(a+4h) + f(b)]

where n is the number of ordinates (in this case, n = 5), h = (b-a)/n is the interval width, and f(x) = sin(x²+1).

First, we need to find the interval [a,b] over which we want to integrate. Since no interval is given in the problem statement, we'll assume that we want to integrate over the interval [0,1].

Therefore, a = 0 and b = 1.

Next, we need to find h:

h = (b-a)/n = (1-0)/5 = 0.2

Now, we can apply the trapezoidal rule formula:

∫[0,1]sin(x²+1)dx ≈ [(1-0)/(2*5)][sin(0²+1) + 2sin(0.2²+1) + 2sin(0.4²+1) +             2sin(0.6²+1) + 2sin(0.8²+1) + sin(1²+1)]

≈ (1/10)[sin(1) + 2sin(0.05²+1) + 2sin(0.15²+1) + 2sin(0.35²+1) + 2sin(0.65²+1) + sin(2)]

≈ (1/10)[0.8415 + 2sin(1.0025) + 2sin(1.0225) + 2sin(1.1225) + 2sin(1.4225) + 1.5794]

≈ 0.5047

Therefore, using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.

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Answer:

100 more teenagers rode the new attraction.

Step-by-step explanation:

Please name me brainiest and verify this answer please. and say thank you

Answer:

it 11  IT NOT 22 NOR 2 okay 11

Step-by-step explanation:

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1