A two-tailed test is one where: A. negative sample means lead to rejection of the null hypothesis B. results in either of two directions can lead to rejection of the null hypothesis C. results in only one direction can lead to rejection of the null hypothesis D. no results lead to the rejection of the null hypothesis

The percentage of people playing basketball is approximately 86.67%.

To determine the percentage of people playing basketball, we need to find the number of people playing basketball.

Given that there are 14 people who play football, 5 people who play both football and basketball, and a total of 30 people playing one sport, we can use this information to calculate the number of people playing basketball.

Let's denote the number of people playing basketball as 'B'.

From the given information, we know that:

The number of people playing football only = 14 - 5 = 9

The number of people playing basketball only = 30 - 9 = 21

The number of people playing both football and basketball = 5

To find 'B', we sum up the number of people playing basketball only and those playing both sports:

B = 21 + 5 = 26

Now, to calculate the percentage of people playing basketball, we divide the number of people playing basketball by the total number of people and multiply by 100:

Percentage of people playing basketball = (26 / 30) \(\times\) 100 = 86.67%

For similar question on percentage.

https://brainly.com/question/24877689

#SPJ8

Answer:

(16, 0) should be right.

Step-by-step explanation:

Well, I used to do the math, but after using Acellus a while, I found Symbolab.

It's suuuper handy with Algebra. I highly recommend.

How I found this intercept was enter:

intercept -2x+8y=-32

and bam it lists you all intercepts!

Answer:

x=2

Step-by-step explanation:

Hi there!

Whenever we're solving an algebraic equation, our goal is always to isolate the variable, which in this case is x. We would do this by performing inverse operations on both sides of the equal sign to cancel values out.

\(10-2x + 3 = 5x-9 + 4x\)

Combine like terms on both sides of the equal sign

\(10+ 3-2x = 5x+ 4x-9 \\13-2x = 9x-9\)

Add 2x to both sides to cancel out -2x (addition is the inverse of subtraction)

\(13-2x +2x = 9x-9 +2x\\13 = 11x-9\)

Add 9 to both sides to cancel out -9 and isolate 11x (addition is the inverse of subtraction)

\(13+9 = 11x-9+9\\22=11x\)

Divide both sides by 11 to isolate x (division is the inverse of multiplication)\(\frac{22}{11} =\frac{11x}{11} \\2=x\)

Therefore, x=2.

I hope this helps!

Answer:

The parallelogram whose sides are 5 and 20  is similar

Step-by-step explanation:

The parallelogram whose sides are 5 and 20  is similar to the given parallelogram whose sides are 2 and 8 because the figures are the same shade and corresponding sides are proportional.

 \(\frac{2}{5} = \frac{8}{20}\)                 \(\frac{2}{4} \neq \frac{8}{18}\)

 \(\frac{2}{5} =\frac{2}{5}\)                   \(\frac{2}{4} \neq \frac{8}{4}\)

Answer:

2304π cm³

Step-by-step explanation:

The formula for the volume of a sphere is: 4πr³/3

The equation gave us the diameter so we can find the radius right away: 24 ÷ 2 = 12

Plug the radius in to the formula:

4π12³/3 = (4×1728π)/3

= 6912π/3

= 2304π

Answer:

\(up \: is \: the \: angle \: bisector \\ so \: 54 = 5x - 6 \\ 5x = 54 + 6 \\ 5x = 60 \\ x = \frac{60}{5} = 12 \\ thank \: you\)

By applying interior angles of triangles concept, it can be calculated that:

Triangle is a 2D shape that is bounded by three sides and has three vertices.

The three interior angles of triangles will always have a sum of 180°.

ΔABC:

            ∠A + ∠B + ∠C = 180°

4x + (7x - 2) + (5x - 10) = 180°

                       16x - 12 = 180°

                              16x = 192°

                                  x = 12°

Thus, ∠A = 4x = 4*12 = 48°

∠B = 7x - 2 = 7*12 - 2 = 82°

∠C = 5x - 10 = 5*12 - 10 = 50°

ΔDEF:

     ∠D + ∠E + ∠F = 180°

3x + 18x + (5x - 2) = 180°

                26x - 2 = 180°

                      26x = 182°

                           x = 7°

Thus, ∠D = 3x = 3*7 = 21°

∠E = 18x = 18*7 = 126°

∠F = 5x - 2 = 5*7 - 2 = 33°

ΔGHI:

 ∠G + ∠H + ∠I = 180°

16x + 16x + 13x = 180°

                 45x = 180°

                      x = 4°

Thus, ∠G = 16x = 16*4 = 64°

∠H = 16x = 16*4 = 64°

∠I = 13x = 13*4 = 52°

ΔJKL:

                  ∠J + ∠K + ∠L = 180°

(x + 8) + (6x - 5) + (2x - 3) = 180°

                                    9x = 180°

                                      x = 20°

Thus, ∠J = x + 8 = 20 + 8 = 28°

∠K = 6x + 5 = 6*20 - 5 = 115°

∠L = 2x - 3 = 2*20 - 3 = 37°

ΔMNO:

∠M + ∠N + ∠O = 180°, if ∠M = x, then:

     x + 5x + 4x = 180°

                  10x = 180°

                      x = 18°

Thus, ∠M = x = 18°

∠N = 5x = 5*18 = 90°

∠O = 4x = 4*18 = 72°

To learn more about interior angles of triangles, click here: https://brainly.com/question/7888180

#SPJ1

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

To know more about linear growth model refer here:

https://brainly.com/question/28033207

#SPJ11

One side of the tower is 19.5 meters long.The cost of covering the tower's outside walls with plants would be around €1,530,750.

(i) The measurements of the square base must be determined in order to estimate the length of one side of the tower.

The formula for calculating the volume of a rectangular box is:

Volume equals length, breadth, and height.

We may assume that the length and breadth of the base are identical since the tower is in the shape of a rectangular box with a square foundation. Let's call this value "s."

Given:

Volume = 45,000 m³

Height = 118 m

Using the formula for volume, we can write:

45,000 = s × s × 118

Simplifying the equation, we have:

45,000 = 118s²

Dividing both sides by 118:

s² = 381.36

To calculate the length of one side, take the square root of both sides: s 381.36 19.5 meters (rounded to one decimal place)

As a result, one side of the tower is believed to be 19.5 meters long.

(ii) To calculate the cost of covering the tower's outer walls with plants, we must first determine the surface area of the four sides.

The formula for calculating the surface area of a rectangular box is:

2lw + 2lh + 2wh = 2lw + 2lh + 2wh

Because the tower has a square base, the length (l) and breadth (w) are identical in this example, hence we may apply the formula:

Surface Area = 4s² + 2sh

Given:

Side length (s) ≈ 19.5 meters

Height (h) = 118 meters

Cost per square meter (planting) = €250

Calculating the surface area:

Surface Area = 4(19.5)² + 2(19.5)(118)

Surface Area ≈ 4(380.25) + 2(2301)

Surface Area ≈ 1521 + 4602

Surface Area ≈ 6123 square meters

We multiply the surface area by the cost per square meter to get the cost of covering the outside sides with plants:

Surface Area Cost per Square Meter = Cost

Cost = 6123 × €250

Cost ≈ €1,530,750

As a result, covering the outside walls of the skyscraper with plants would cost around €1,530,750.

For more such questions on tower, click on

https://brainly.com/question/30234091

#SPJ8  

the EIR from this transaction is 16.25% (Option B, None of the above).

To find the EIR from the transaction, we need to calculate the effective interest rate (EIR) on the loan. The formula for EIR is:

EIR = [(1 + r/n)ⁿ - 1] x 100

where r is the nominal interest rate, and n is the number of compounding periods per year.

In this case, the nominal interest rate is 10%, and the loan is payable on December 31, 2021, which is 5.5 years from June 30, 2016. Therefore, the number of compounding periods per year is 2 (since interest is payable semi-annually). Substituting these values into the formula, we get:

EIR = [(1 + 0.10/2)₂ - 1] x 100 = 10.25%

However, the bank requires a maintaining balance of 6% for any amount borrowed. Therefore, the effective interest rate is increased by this amount. Adding 6% to the EIR, we get:

EIR = 10.25% + 6% = 16.25%

Therefore, the EIR from this transaction is 16.25% (Option B, None of the above).

Learn more about Interest here

https://brainly.com/question/12325365

#SPJ4

The relation (0, 3) , (2, -3) , (1, 8) ,(2, 3) is a function. The domain is {0 , 1, 2}; Choice B

Definition:

Read more:

https://brainly.com/question/910323

Answer:

1, 0

Step-by-step explanation:

Let \(\cos (x+2\pi) = -\frac{\sqrt{2}}{2}\). From Trigonometry we remember the following identity:

\(\cos (a+b) = \cos a \cdot \cos b - \sin a \cdot \sin b\) (Eq. 1)

Where \(a\) and \(b\)  are angles measured in radians.

Then, we proceed to expand the given expression:

\(\cos x \cdot \cos 2\pi - \sin x \cdot \sin 2\pi = -\frac{\sqrt{2}}{2}\)

\(\cos x \cdot 1 - \sin x \cdot 0 = -\frac{\sqrt{2}}{2}\)

\(\cos x = -\frac{\sqrt{2}}{2}\)

Therefore, correct answer is "1, 0".

Answer:

A 1;0

Step-by-step explanation:

Answer:

The circle one

Step-by-step explanation:

What you need to do is count the number of squares or slices it has and then count how Buchanan the chunk is divided into, should be 6

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

Explanation:

Ignore the dashed smaller lines for now. The solid black vertical lines form 4 smaller equal pieces, and not 5. Each tickmark represents 1/4 and not 1/5

So if you wanted to represent a model for \(\frac{1}{4}\div 6\), then you would use the lower left corner. However, we want that 1/4 to be 1/5 instead. So this is why the answer is the lower left corner.

Everything else is a correct model. We started dividing everything into 5 equal parts. Then we focused on one of those slices, and subdivided that slice into 6 equal parts. Imagine doing that for each slice and we should have 5*6 = 30 smaller pieces total. Hence \(\frac{1}{5} \div 6 = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30}\)

Answer:

b

Step-by-step explanation:

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

The purpose of converting a random variable to a z-value is to Compare a normal distribution to a standard normal distribution and Express the distance from the mean in terms of the standard deviation.

The purpose of converting a random variable to a z-value is to:

Compare a normal distribution to a standard normal distribution: By converting a random variable to a z-value, it can be compared to the standard normal distribution, which has a mean of 0 and a standard deviation of 1. This allows for the calculation of probabilities and the interpretation of the results in a standard way.

Express the distance from the mean in terms of the standard deviation: The z-value expresses the distance of the random variable from the mean in terms of the standard deviation. This standardization makes it easier to compare values and to perform statistical analysis.

Converting a normal distribution to a z-value does not convert it to a uniform distribution or ensure that the sum of the probabilities is one. The sum of the probabilities in a normal distribution does not equal one, but rather approaches one as the values approach infinity.

To know more about normal distribution click here:

https://brainly.com/question/29509087#

#SPJ11

Answer:

Yes

Step-by-step explanation:

Answer:

Answer at the bottom

Step-by-step explanation:

The answer is Fourhundred eighty two point seventythree thousandths.

Hope this helps!!

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

Dyscalculia is a learning disorder that affects a person's ability to understand number-based information and math

Answer: y = -2x + 6

Slope-intercept form: y = mx + b, where m = slope and b = y-int

m = -2

(-1, 8) --> -1 = x₁, 8 = y₁

Based on the slope and given point, use oint-slope form, y - y₁ = m(x - x₁), to find the slope-intercept equation:

y - 8 = -2[x -(-1)]

y - 8 = -2(x + 1)

y - 8 = -2x - 2

y = -2x + 6

The required bearing angle of town B from Thomas is 75°.

We have,

Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.

Given that

Thomas is facing towards town A, which is at a bearing of 300°.

Implies that town A is 300° from north.

If Thomas turns 135° clockwise, then he faces towards town B,

The bearing angle will be 300+135 = 435°

Since, one complete round makes angle 360°, therefore

The required bearing angle = 435 - 360 = 75

The bearing angle of town B from Thomas is 75°.

To know more about Bearing angle on:

brainly.com/question/10682201

#SPJ1

Answer:

x = 3

Step-by-step explanation:

Since BD bisects ∠ ABC , then

∠ ABD = ∠ DBC , that is

9x = 8x + 3 ( subtract 8x from both sides )

x = 3

Answer:

false

Step-by-step explanation:

Call the persons 1 through 7.

1,2

1,3

1,4

1,5

1,6

1,7

2,3

2,4

2,5

2,6

2,7

3,4

3,5

3,6

3,7

4,5

4,6

4,7

5,6

5,7

6,7

There are 21 handshakes.

1 handshaking 2 is the same as 2 handshaking 1.

6 × 7/2 = 21

Answer: false

A ∪ B is a subset of B.

Suppose A and B are any sets and A ⊆ B. [We must show that A ∪ B ⊆ B].

Let x ∈ [A ∪ B]. [We must show that x ∈ B].

By definition of union, x ∈ [A] ∨ x ∈ [B].

In case x∈ [A], then since A ⊆ B, x ∈ [B].

In case x ∈ B, then clearly x ∈ B. So in either case, x ∈ [B] [as was to be shown].

We have considered the following points in the above proof:

Suppose A and B are any sets and A ⊆ B: Given that A is a subset of B.

Let x ∈ [A ∪ B]: We take an element x such that it belongs to the union of A and B. [We must show that x ∈ B]:

We need to prove that the given element x belongs to set B, which means we have to prove x ∈ [B].

By definition of union, x ∈ [A] ∨ x ∈ [B]: Union of A and B denotes a set containing elements of both A and B. This implies that x belongs to either A or B.

In case x∈ [A], then since A ⊆ B, x ∈ [B]: As A is a subset of B, if an element x belongs to set A, then it must also belong to B.

In case x ∈ B, then clearly x ∈ B: An element x belongs to B, it is already a part of set B.

So in either case, x ∈ [B] [as was to be shown]:

Thus, if the element x belongs to either set A or B, then it is a part of set B.

To know more about element visit:

https://brainly.com/question/31950312

#SPJ11

The derivative of the tower function y = (cot(3x))^x^2 is given by:

(dy/dx) = y * (2 * ln(cot(3x)) + 2x * (d/dx) ln(cot(3x)) - 3x^2 * (d/dx) (cot(3x)) * cos(3x) / sin^2(3x))

To find the derivative of the tower function y = (cot(3x))^x^2 using logarithmic differentiation, we follow these steps:

Step 1: Take the natural logarithm of both sides of the equation:

ln(y) = ln((cot(3x))^x^2)

Step 2: Apply the logarithmic properties to simplify the expression:

ln(y) = x^2 * ln(cot(3x))

Step 3: Differentiate both sides of the equation implicitly with respect to x:

(d/dx) ln(y) = (d/dx) (x^2 * ln(cot(3x)))

Step 4: Use the chain rule and product rule on the right side of the equation. Let's calculate each derivative separately:

(d/dx) ln(y) = (d/dx) (x^2 * ln(cot(3x)))

= (d/dx) x^2 * ln(cot(3x)) + x^2 * (d/dx) ln(cot(3x))

The derivative of x^2 with respect to x is 2x. Now, let's calculate the derivative of ln(cot(3x)) using the chain rule.

Let u = cot(3x)

So, ln(cot(3x)) = ln(u)

Apply the chain rule:

(d/dx) ln(u) = (1/u) * (d/dx) u

To find (d/dx) u, we need to differentiate cot(3x) with respect to x. Applying the chain rule again:

(d/dx) u = (d/dx) cot(3x)

= -(1/sin^2(3x)) * (d/dx) (sin(3x))

= -(1/sin^2(3x)) * 3cos(3x)

Now, substitute these results back into the equation:

(d/dx) ln(y) = 2x * ln(cot(3x)) + x^2 * (1/cot(3x)) * -(1/sin^2(3x)) * 3cos(3x)

Step 5: Simplify the expression further:

(d/dx) ln(y) = 2x * ln(cot(3x)) - 3x^2 * cot(3x) * cos(3x) / sin^2(3x)

Step 6: Convert the derivative of ln(y) back to the derivative of y by taking the exponential of both sides:

e^((d/dx) ln(y)) = e^(2x * ln(cot(3x)) - 3x^2 * cot(3x) * cos(3x) / sin^2(3x))

The left side simplifies to y, so we have:

y = e^(2x * ln(cot(3x)) - 3x^2 * cot(3x) * cos(3x) / sin^2(3x))

Thus, the derivative of the tower function y = (cot(3x))^x^2 is given by:

(dy/dx) = y * (2 * ln(cot(3x)) + 2x * (d/dx) ln(cot(3x)) - 3x^2 * (d/dx) (cot(3x)) * cos(3x) / sin^2(3x))

Simplifying the expression further involves substituting the appropriate derivatives of cot(3x) and evaluating trigonometric functions, but this is the general form of the derivative using logarithmic differentiation.

Learn more about derivative here

https://brainly.com/question/31399608

#SPJ11

Answer:

For #9, the part of the expression that represents the quotient is the division problem in parenthesis. Specifically, "(45 ÷ 9)". I believe you only need the division symbol for this, though. Correct me if I'm wrong.

As for #10, the part of the expression representing the product of two factors is 5.2 being multiplied by the variable \(u\). This results in the the term \(5.2u\), with the coefficient being 5.2 and the variable being \(u\).