Hamid has gained weight.He now weighs 88kg,which is 10% higher than his normal weight.What is Hamids normal weight?

To disprove the null hypothesis a researcher must develop a number that demonstrates the existence of a difference between two variables. this is called the alternative hypothesis.

Null hypothesis and Alternative hypothesis are two basic types of hypothesis that express the criteria of a research problem as a relationship between two or more variables.

Null hypothesis refers to the hypothesis which clarifies that there is no relationship between two variables.

An alternative hypothesis is the inverse of the null hypothesis which tells that there is a relationship between two variables.

Hence, demonstrating that there exist a difference between two variables is an alternative hypothesis.

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Answer:

c=5

Step-by-step explanation:

3(c+1)=18

3(c+1)/3=18/3

c+1=6

c+1-1=6-1

Answer:

\(SE_{\bar x} = 0.311\)

Step-by-step explanation:

Given

\(n=5\)

\(\bar x = 41\%\)

\(\sigma^2= 48.5\%\) --- variance

Required

The standard error of the sample mean

This is calculated as:

\(SE_{\bar x} = \frac{\sigma}{\sqrt n}\)

This can be rewritten as:

\(SE_{\bar x} = \frac{\sqrt{\sigma^2}}{\sqrt n}\)

So, we have:

\(SE_{\bar x} = \frac{\sqrt{48.5\%}}{\sqrt 5}\)

Rewrite as:

\(SE_{\bar x} = \sqrt{\frac{48.5\%}{5}}\)

\(SE_{\bar x} = \sqrt{0.097}\)

\(SE_{\bar x} = 0.311\)

Answer:

Step-by-step explanation:

y-8

Answer:

y - 8

Step-by-step explanation:

Answer:

C, I got it right

Step-by-step explanation:

The two major types of series are the arithmetic series and the geometric series. The arithmetic series is characterized by common difference, while the geometric series has common ratio between two successive terms.

The sum of the given series is:

\(\lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )\)

The given series is a geometric series. So, we first calculate the common ratio (r) using:

\(r = T_2 \div T_1\)

From the series, we have:

\(T_1 = \frac{1}{4}\)

\(T_2 = \frac{1}{16}\)

So, the equation becomes

\(r = \frac{1}{16} \div \frac{1}{4}\)

Rewrite as product

\(r = \frac{1}{16} * \frac{4}{1}\)

\(r = \frac{1}{4}\)

The formula to calculate the sum of a geometric series of is:

\(S_n = \frac{a(1 - r^n )}{1-r}\)

Where

\(a = T_1 =\frac{1}{4}\) -- the first term

\(S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{1-\frac{1}{4}}\)

Simplify the denominator

\(S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{\frac{3}{4}}\)

Divide 1/4 by 3/4

\(S_n = \frac{1}{3}(1 - \frac{1}{4}^n )\)

We can conclude that, the sum of the series is:

\(S_n = \lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )\)

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Answer:

The point-slope form of a linear equation is given as:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope of the line.

We are given the point (2, 3) and the slope -5. Plugging these values into the point-slope form, we get:

y - 3 = -5(x - 2)

To transform this equation to slope-intercept form (y = mx + b), we need to isolate y on one side of the equation. We can do this by distributing the -5 and then adding 3 to both sides:

y - 3 = -5x + 10

y = -5x + 13

Therefore, the equation in point-slope form is y - 3 = -5(x - 2) and the equation in slope-intercept form is y = -5x + 13.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

tests and medicine = $150

appointment = $30

discount = 15% = 0.15

visits = 3

final cost = ?

Step 02:

final cost:

final cost = (150 + 30*3) - (150 + 30*3)*0.15

= 240 - 36

= $204

The answer is:

The final cost is $204

The magnitude of the centripetal force acting on the ball just prior to the moment of release in the hammer throw event is Fc = (0.730116kg *\(v^{2}\))/m.

To find the magnitude of the centripetal force acting on the ball just prior to the moment of release in the hammer throw event, we can use the principles of circular motion.

The centripetal force required to keep an object moving in a circle is given by the equation Fc = m\(v^2\)/r, where Fc is the centripetal force, m is the mass of the ball, v is the velocity of the ball, and r is the radius of the circle.

In this case, the mass of the ball is given as 7.30 kg, and the radius of the circle is 2.88 m. We need to find the velocity of the ball just prior to the release.

We are given that the ball moves upward on a curved path, which means it has both vertical and horizontal components of velocity. The velocity at the instant of release is directed 36.1 degrees above the horizontal.

To find the horizontal component of velocity, we can use the trigonometric relationship between the angle and the velocity components.

The horizontal component of velocity is given by vh = v * cosθ, where vh is the horizontal velocity and θ is the angle.

Using the given angle of 36.1 degrees, we can calculate the horizontal component of velocity: vh = v * cos(36.1) = v * 0.7986.

Since we don't have the value of v, we need to find it using the world record distance of 86.75 m. The horizontal distance traveled by the ball is equal to the circumference of the circle it moves in. Thus, 2πr = 86.75 m, which gives us r = 13.799 m.

Now, we can find the value of v by dividing the horizontal distance by the time it takes to travel that distance. Let's assume that the ball takes t seconds to complete one revolution.

Therefore, the time it takes to travel the world record distance is t = 86.75 m / (2πr) = 86.75 m / (2π * 13.799 m).

Now, we can calculate the horizontal component of velocity: vh = (86.75 m / t) * 0.7986.

With the horizontal component of velocity known, we can calculate the magnitude of the centripetal force using the formula Fc = m\(v^2\)/r. The magnitude of the centripetal force is Fc = m * (v\(h^2\) + v\(v^2\)) / r, where vv is the vertical component of velocity.

Since the ball is released at ground level, the vertical component of velocity just prior to release is zero. Thus, vv = 0.

Substituting the known values into the formula, we have Fc = 7.30 kg * (v\(h^2\) + 0) / 2.88 m.
Fc = (0.730116kg * \(v^2\)) / m.

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It will take approximately 7.85 hours to fill the pool.

To determine the time needed to fill the pool, first calculate the volume of the pool, then convert the volume to gallons, and finally, divide by the fill rate.

The pool is a cylinder with a radius of 10 ft and a height of 4 ft. The volume of a cylinder is given by the formula V = πr²h.

V = π(10 ft)²(4 ft) = 400π cubic feet ≈ 1256.64 cubic feet

Next, convert the volume to gallons using the given conversion factor:

1256.64 cubic feet * 7.5 gallons/cubic foot ≈ 9424.8 gallons

Now, divide the total gallons by the fill rate of 20 gallons/minute to find the time in minutes:

9424.8 gallons ÷ 20 gallons/minute ≈ 471.24 minutes

Finally, convert the time to hours:

471.24 minutes ÷ 60 minutes/hour ≈ 7.85 hours

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Answer:

There is no solution

Step-by-step explanation:

Given the rational equation 2x^2 + 1/x-1 + x = 3 + 3/x -1

We are to find the value of x

Collect like terms

2x²+x-3 = 3/x-1 - 1/x-1

2x²+x-3 = 2/x-1

Cross multiply

(2x²+x-3) (x-1) = 2

2x³-2x²+x²-x-3x+3-2 = 0

2x³-x²-4x+1 = 0

Since we cannot factor the polynomial, hence there is no solution

Answer:

"so i need to find e missing side of each right triangle, side c is the hypotenuse!! a = 8.8ft, b= 9ft i have to round the answers to the nearest tenth if necessary "

Step-by-step explanation:

Sure! So remember that the Pythagorean theorem is a squared plus b squared = c squared.

= 8.8 squared + 9 squared = c squared

= 77.44 + 81 = c squared

\(\sqrt{158.44}\) = c squared

c squared = (rounded) 12.6 ft

Answer:

\(\frac{b}{a}\) = - \(\frac{1}{8}\)

Step-by-step explanation:

Given

\(\frac{a+2b}{a-b}\) = \(\frac{2}{3}\) ( cross- multiply )

2(a - b) = 3(a + 2b) ← distribute parenthesis on both sides )

2a - 2b = 3a + 6b ( subtract 3a from both sides )

- a - 2b = 6b ( add 2b to both sides )

- a = 8b ( divide both sides by 8 )

- \(\frac{1}{8}\) a = b ( divide both sides by a )

- \(\frac{1}{8}\) = \(\frac{b}{a}\)

Answer:

-1/8

Step-by-step explanation:

a+2b=2

a-b=3

Solve Simultaneous equations by Formula 1 - Formula 2

2b - (-b) = 2-3

3b = -1

b= -1/3

b= -1/3

so: a - (-1/3) = 3

a = 8/3

b/a=

(8/3) / (-1/3)

= (8/3) * (3/-1)

simplify

=-1/8

Answer: 2\(4\sqrt{x} 4\)

Step-by-step explanation:

(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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The double integral that gives the volume bound between the surfaces 2 ―= 9, = 5, the xz-plane, and the xy-plane is ∬(2 ― - 5) dA.

To set up the double integral that represents the volume bound between the given surfaces, we need to consider the limits of integration and the integrand. Let's break down the problem step by step.

Step 1: Determine the limits of integration

The volume is bound between the surfaces 2 ―= 9 and = 5. Since we are working in the xz-plane and the xy-plane, the limits of integration will correspond to the x and z coordinates.

For the x-coordinate, we need to find the range over which the surface 2 ―= 9 exists. This implies that 2 ― = 9 when 2 = 9, resulting in x = 4. So, the limits of integration for x will be from 0 to 4.

For the z-coordinate, the surface = 5 indicates that z = 5. Therefore, the limits of integration for z will be from 0 to 5.

Step 2: Determine the integrand

The integrand represents the difference between the two surfaces that bound the volume. In this case, the surfaces are 2 ―= 9 and = 5. Hence, the integrand is (2 ― - 5).

Step 3: Set up the double integral

Combining the limits of integration and the integrand, we can set up the double integral:

∬(2 ― - 5) dA

where dA represents the differential area element in the xz-plane and the xy-plane.

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permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.

The factorial function (symbol: !) just means to multiply a series of descending natural numbers.

a) The number of four people committees that can be selected from a group of 16 people is:

no. of committees are possible = 16!/ 4!

(16x15x14x13)/(1x2x3x4)=1820

b)Given that

One person is the chair, and the rest are general members

n! / (n − r)!

where n is the number of things to choose from,

Pick a chairman:: 16 ways

Pick 3 others:: 15C3 = 455 ways

Ans: 16×455 = 7200

c)

Each committee has a chair, a secretary, a refreshment person and a cleanup person.

The number of combinations of assignments within each committee is: 4x3x2x1=24.

The total number of committees with each committee member’s responsibility is: 1820x24=43680.

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The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.

Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.

According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.

By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.

Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.

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Answer:

196

Step-by-step explanation:

I calculated it with my calculator

Answer:

80

Step-by-step explanation:

90/100*x=72

9/10*x=72

x=72*10/9

x=80

The function will have a value of 0 at x = 1. In that case, the variable "k" will have a value of 2.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.

Given f(x) = 3x³ + kx – 5, and the factor of the given function is (x – 1).

If the factor (x – 1) is zero. Then the value of the function will be zero.

x – 1 = 0

x = 1

At x = 1, the value of the function will be zero. Then the value of the variable 'k' will be calculated as,

f(1) = 3(1)³ + k(1) – 5

0 = 3 + k – 5

k = 5 – 3

k = 2

The function's value will be 0 at x = 1. The variable "k" will then have a value of 2.

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Answer:

in 234,230 feet there are 44.36 miles

Answer:

B. 30 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram:

Interior angles are m<3 and m<2

Exterior angle = <4

using the rule that says that the sum of interior angles is equal to the exterior angle we have:

m<2+m<3 = m<4

(4/3)x°+20 = 2x°

multiply through by 3:

4x° + 60 = 6x°

4x°-6x° = -60

-2x° = -60

x°= -60/-2

x° = 30°

Hence the value of x is 30 degrees

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

Explanation:

If we plug in x = -3, then we get

y = (1/3)*x + 2

y = (1/3)*(-3) + 2

y = -1 + 2

y = 1

So the point (-3, 1) is on the line instead of (-3, 2). This rules out choice A.

Now let's try x = 3

y = (1/3)*x + 2

y = (1/3)*(3) + 2

y = 1 + 2

y = 3

We can see that (3,3) is on the line. That directs us to choice C as the final answer.

For the sake of completeness, let's try x = 6 to see what we get

y = (1/3)*x + 2

y = (1/3)*(6) + 2

y = 2 + 2

y = 4

So the point (6,4) is on the line instead of (6,8), which allows us to rule out choice D.

Answer:

EG<DG<AG

Step-by-step explanation:

Answer:

D. for the first one and B. for the second one i think

The following equation could be used to represent a function w:

= w(x)=v(x-7)+7

According to the information provided,

The point of discontinuity of rational functions is at x=7.

When a rational function has a point of discontinuity, it generally occurs when,

q(x) = r(x-a), where x = a

In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)

If we know that a=7 and k=7.

The equation which can represent w is as follows,

w(x) = v ( x-7 ) + 7

A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.

Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.

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Step-by-step explanation:

\(\huge\mathcal\pink{answer..} \\ \\ \\ \small\mathfrak\purple{d {3}= 27} \\ \\ \small\mathfrak\purple{d = \sqrt[3]{27} } \\ \\ \small\mathfrak\purple{d {}= \ \sqrt[3]{3 \times 3 \times 3} } \\ \\ \small\mathfrak\purple{d {}= 3} \\ \\ \small\mathfrak\green{hope \: it \: helps..} \\ \\ \)

Answer:

d = 3

Step-by-step explanation:

To detect an odd number that is 40 or more in a variable named x, the correct if statement(s) that apply are: if x >= 40 and x % 2 != 0: if x % 2 != 0 and x >= 40:

if x >= 40 and x % 2 != 0: checks two conditions. First, it checks if x is greater than or equal to 40 (x >= 40). This ensures that the number is 40 or more. Then, it checks if x modulo 2 is not equal to 0 (x % 2 != 0). This condition checks if the number is odd since odd numbers have a remainder of 1 when divided by 2.

if x % 2 != 0 and x >= 40: also checks two conditions. First, it checks if x modulo 2 is not equal to 0 (x % 2 != 0). This condition checks if the number is odd since odd numbers have a remainder of 1 when divided by 2. Then, it checks if x is greater than or equal to 40 (x >= 40). This condition ensures that the number is 40 or more.

By using either of these if statements, we can correctly detect an odd number that is 40 or more in the variable x.

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Answer :x=3 y=7 (3,7)

Step-by-step explanation: I took algebra last year and I answered your question earlier.