During the last football season, the percentage of tight ends in the league who made a touchdown reception was 45%. A sports statistician is interested in how the spread of receptions is affected by sampling a different number of tight ends in the league. What is the standard error of the sampling distribution of sample proportions for samples of size n= 32, n=42 and n=52?

Answer:

y = 100,000 (1 + 0.04) ²⁰

Step-by-step explanation:

Here:

100,000 = original amount.

0.04 = rate (a percent)

and

20 = number of times you need to run the simulation.

Answer:

no 8 is 90° and no 9 is two

Step-by-step explanation:

90° and two circles can pass through a given point

The area of the region bounded by the curve r = 9cos(θ) and the sector 0 ≤ θ ≤ π/6 is \($27\pi/8 - 81/8\times \sqrt{3}$\)

The curve r = 9cos(θ) is a polar curve that forms a half-circle with a radius of 9/2. To find the area of the region bounded by this curve and the sector 0 ≤ θ ≤ π/6, we can use the formula for the area of a polar region:

\($A = \frac{1}{2} \int_{a}^{b} r(\theta)^2 d\theta$\)

In this case, a = 0 and b = π/6, and the curve is given by r(θ) = 9cos(θ). Substituting these values into the formula, we get:

\($A = \frac{1}{2} \int_{0}^{\frac{\pi}{6}} (9\cos(\theta))^2 d\theta$\)

Simplifying and evaluating the integral gives:

\(A = \frac{1}{2} \int_{0}^{\frac{\pi}{6}} 81\cos^2(\theta) d\theta\\\\ = \frac{1}{2}\left(\frac{81}{2}\cdot\frac{\pi}{6}+\frac{81}{4}\cdot\sin\left(\frac{\pi}{6}\right)\right)\\ \\ = \frac{27\pi}{8} - \frac{81}{8}\sqrt{3}\)

Therefore, the area of the region bounded by the curve r = 9cos(θ) and the sector 0 ≤ θ ≤ π/6 is \($27\pi/8 - 81/8\times \sqrt{3}$\)

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Answer:

m=6

X1=4

Y1= -5

Y-Y1=m(X-X1)

Y-(-5)=6(X-4)

Y+5=6X-24

Y=6X-24-5

Y=6X-29

Answer:

63

Step-by-step explanation:

Answer d

Step-by-step explanation:d

Answer:

c. 51

Step-by-step explanation:

The opportunity cost for Caleb to produce one more bushel of apples in terms of pears is 2 bushels of pears.

To determine the opportunity cost for Caleb, we need to compare the trade-off between producing apples and pears. The given information states that Caleb can produce a maximum of 30 bushels of pears or 15 bushels of apples in a month.

We can calculate the opportunity cost by dividing the change in the quantity of pears by the change in the quantity of apples. In this case, if Caleb produces one more bushel of apples, he would have to give up producing pears. Therefore, the opportunity cost can be calculated as follows:

Opportunity Cost = Change in Pears / Change in Apples

Opportunity Cost = 30 bushels - 0 bushels / 15 bushels - 0 bushels

Opportunity Cost = 30 bushels / 15 bushels

Opportunity Cost = 2 bushels of pears per bushel of apples

The opportunity cost for Caleb to produce one more bushel of apples in terms of pears is 2 bushels of pears. This means that if Caleb decides to produce one additional bushel of apples, he would have to give up producing 2 bushels of pears.

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The ratio of the final surface charge density (ηf) to the initial surface charge density (ηi) is given by 3.68 * \(Q_i / (A_i \times A_i).\)

To understand the concept and solve this problem, we need to consider the relationship between surface charge density, area, and charge. Surface charge density (σ) is defined as the charge (Q) per unit area (A). Mathematically, we can express this relationship as σ = Q/A.

Let's assume the initial area of the irregular shape is \(A_i\), and the final area after each dimension is reduced is \(A_f\). Since each dimension (x and y) is reduced by a factor of 3.68, we can write the relationship between the initial and final areas as:

\(A_f = (1/3.68) \times A_i\)

Now, let's consider the relationship between charge and area. Since the charge remains constant for a given area, we can express it as \(Q_i = Q_f\), where \(Q_i\) is the initial charge and \(Q_f\) is the final charge.

Since the charge remains constant, the ratio of the surface charge densities can be expressed as:

ηf/ηi = \(\sigma _f/\sigma _i = Q_f/A_f / Q_i/A_i\)

Substituting the expressions for area into the equation, we have:

ηf/ηi = \(Q_f/A_f / Q_i/A_i = Q_f / (A_f * Q_i) * (A_i / Q_i)\)

Canceling out the \(Q_i\) terms, we get:

ηf/ηi = \(Q_f / (A_f * Q_i) * (A_i / Q_i) = Q_f / (A_f * A_i)\)

Since \(Q_i = Q_f\), we can simplify further:

ηf/ηi = \(Q_f / (A_f * A_i) = Q_i / (A_f * A_i)\)

Now, substituting the expressions for area into the equation, we have:

ηf/ηi = \(Q_i / (A_f * A_i) = Q_i / ((1/3.68) * A_i * A_i)\)

Simplifying, we find:

ηf/ηi = 3.68 x \(Q_i / (A_i \times A_i).\)

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Complete Question:

The irregularly shaped area of charge in the figure has surface charge density ηi. Each dimension (x and y) of the area is reduced by a factor of 3.68.

What is the ratio ηf/ηi where ηf is the final surface charge density?

Answer:

1 1/16

explanation:

its 1/16 of a pound because its half a serving and a serving is 1/8 of a pound

Answer:

7

Step-by-step explanation:

double the other angle 55 * 2 = 110

360 - 110 = 250 subtract from full circle of degrees

250/2 = 125 divide remainder by two

18x - 1 = 125

x = 7

Answer:

It is $3.00 per hour

Step-by-step explanation:

Let C be the total charge and t be the rental time in hours.

C = ht + 43

Plugging the given values into the equation, we get:

64 = 7h + 43

7h = 21

h = 3

The hourly fee is $3.00 per hour.

The hourly fee for the rototiller is 3 dollars.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, the rental company charged an initial fee of $43 with an additional fee per hour.

They paid $64 after renting the rototiller for 7 hours

Here, h represents the hourly fee

Now, 43+7h=64

7h=64-43

7h=21

h=$3

Therefore, the hourly fee for the rototiller is 3 dollars.

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The definition of a rational number is: A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.

Examples of rational numbers are:

From the above definition

For a fraction to a be Rational Number it has to be made up of integers

The answer is option 1

Maximal elements are 10 and 20, minimal elements are 2 and 4, there is neither greatest element and nor least element.

→ The maximal element in the poset  is an element that is divisible by all elements in poset  is comparable to. so 10 and 20 are the maximal elements.

→The minimal element in the poset is an element that is divisible by all other elements in the relation they are comparable to. so 2 and 4 are minimal elements.

→There is no greatest element because 10 and 20 are incomparable which means that one doesn't precede the other.

→There is no least element because 2 and 4 are incomparable which means that one doesn't precede the other.

after 4 females leave the team, the percentage of remaining team members who are male is 60%.

Initially, the team has 34 members with 18 males and 34 - 18 = 16 females. If 4 females leave the team, the number of females becomes 16 - 4 = 12. The number of remaining team members is 34 - 4 = 30 (since 4 members left).

To calculate the percentage of remaining team members who are male, we divide the number of males (18) by the total number of remaining team members (30) and multiply by 100:

Percentage of remaining team members who are male = (18 / 30) * 100 = 60%

Therefore, after 4 females leave the team, the percentage of remaining team members who are male is 60%.

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Answer:

18

Step-by-step explanation:

2 congruent triangles, their respective sides are congruent so:

The correct answer is option A: 0.415.The probability that a randomly selected three-year-old is in daycare is 0.415. This is because the given information tells us that 41.5% of three-year-olds are enrolled in daycare.

Option A: 0.415 is the right answer.The likelihood of a randomly picked three-year-old being in creche is 0.415. This is due to the fact that 41.5% of three-year-olds are enrolled in nursery, according to the data.

Because a randomly chosen three-year-old can be in creche or not, the likelihood that a randomly chosen three-year-old is in creche is the same as the proportion of three-year-olds enrolled in creche, which is 0.415, or 41.5%.

To elaborate, probability is a measure of the possibility that an event will occur. It is usually a number between 0 and 1, with 0 indicating that the occurrence is impossible and 1 indicating that the event is unavoidable.

In this scenario, the event is picking a three-year-old who is enrolled in creche, with a chance of 0.415, or 41.5%, of this event occuring.

Therefore, the correct answer is option A: 0.415.

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Answer:  Choice C

XY < YZ < ZX

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

Explanation:

Check out the diagram below

Angle X = 70

Angle Y = 88

Z is the unknown angle. The three angles of any triangle always add to 180

X+Y+Z = 180

70+88+Z = 180

Z+158 = 180

Z = 180-158

Z = 22

Angle Z is 22 degrees.

Since Z is the smallest angle, this means the side opposite that is the smallest side. The smallest angle is always opposite the smallest side, and vice versa. So XY is the smallest side.

The largest side is always opposite the largest angle. Here we have angle Y = 88 as the largest, so side ZX is the largest side.

The order of the sides from smallest to largest is

XY < YZ < ZX

Answer:

b. one solution

Step-by-step explanation:

hope this helps :)

Answer:

B. One solution

Step-by-step explanation:

Hope this helps!!

Answer:

y=-8x+5

Step-by-step explanation:

The others have a slope of -2, 7, and 6, which is not as steep as -8.

Answer:

A) y = -8x + 5

Step-by-step explanation:

Just took the test!

Correct me if I'm wrong!

Thank you

Tisa B Sora

The value of the principal investment is:

$4,942.96

To determine the value of the principal investment, we can use the given compound interest formula:

\(A = P(1 + \frac{0.07}{4})^{4t}\)

Where:

A = the final amount after 15 years

P = the principal

0.07 = the interest rate (7%)

4 = the number of times the interest is compounded per year, in this case quarterly

t = the time period in years, 15

Substituting t and A into the formula, we can find P:

\(13,997.55 = P(1 + \frac{0.07}{4})^{4*15}\)

\(13,997.55 = P(1 + 0.0175)^{60}\)

\(13,997.55 = P(1.0175)^{60}\)

\(P = \frac{13,997.55}{(1.0175)^{60}}\)

P = $4,942.96

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Answer: C

Step-by-step explanation:

A negative times a negative equals a positive.

Answer:

25x + 5 equals 130, x=5,   (2) x= 6  10x=60 degrees

Step-by-step explanation:

The given statement: n(n+1)(2n+1) is divisible by 6 for all positive integers n.

Step-by-step explanation: We need to prove that n(n+1)(2n+1) is divisible by 6 for all positive integers n using mathematical induction.

Step 1: First, lets prove the statement for the smallest possible value of n. The smallest value of n is 1. So, let's check whether the given statement is true for n = 1 or not.

\(LHS = 1(1+1)(2*1+1) = 6\)

It is divisible by 6. Hence, the statement is true for n=1.

Step 2: Let's assume that the statement is true for n=k. So, we can say that n(n+1)(2n+1) is divisible by 6 for n=k. i.e., n(n+1)(2n+1) = 6a (for some integer a).

Step 3: We need to prove the statement is true for n=k+1.

So, we need to prove that (k+1){(k+1)+1}[2(k+1)+1] is divisible by 6

Using the assumption we made in step 2.

\(LHS = (k+1){(k+2)}[2k+3] = (k+1)(k+2)(2k+3)LHS = (2k+3)k(k+1)(k+2)LHS = 2[k(k+1)(k+2)] + 3[k(k+1)]\)

Now, k(k+1)(k+2) is divisible by 6 using the assumption made in step 2.

So, LHS = 2[k(k+1)(k+2)] + 3[k(k+1)] is also divisible by 6.

Hence, the statement is true for n=k+1.

Step 4: Using steps 1 to 3, we can say that the given statement is true for n=1 and if it is true for n=k, then it is also true for n=k+1.

Hence, by mathematical induction, we can say that the statement is true for all positive integers n.

Hence, it is proved that n(n+1)(2n+1) is divisible by 6 for all positive integers n.

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Answer:

F(2x^2) = 8x^2 + 6

Step-by-step explanation:

F (g(x))

= F(2x^2) = 4 (2x^2) + 6

= F(2x^2) = 8x^2 + 6

16 is a perfect square

16 = 2 × 2 × 2 × 2

16 = (2 × 2) × (2 × 2)

16 = 4 × 4

Perfect squares numbers whose squares are whole numbers. Square root of 16 gives 4.

Hence, 16 is a perfect square

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Answer:

To find the surface area of a regular hexagonal pyramid, we need to find the area of the six triangular faces and the area of the hexagonal base, and then add them together.

The area of each triangular face is given by the formula:

(1/2) x base x height

In this case, the base of each triangle is the side length of the hexagon (8), and the height is the slant height of the pyramid (16). Therefore, the area of each triangular face is:

(1/2) x 8 x 16 = 64

The hexagonal base can be divided into six equilateral triangles, each with side length 8. The area of each equilateral triangle is:

(1/4) x sqrt(3) x side length^2

Plugging in the values, we get:

(1/4) x sqrt(3) x 8^2 = 16sqrt(3)

To find the total surface area, we add the area of the six triangular faces and the area of the hexagonal base:

6 x 64 + 16sqrt(3) = 384 + 16sqrt(3)

Rounding to the nearest tenth, the surface area of the regular hexagonal pyramid is:

398.6 square units (rounded to one decimal place)

Answer:

19.99 (rounded)

Step-by-step explanation:

We know that the formula to solve is:

\(V=\pi r^{2}h\).

\(R = \sqrt{\frac{V}{\pi h } } = \sqrt{\frac{16328}{\pi 13} = 19.99493\)