QUESTION 3 The larger the sample, the the population parameter. O a. Cannot say because it depends on the exact sample values Ob. Less c. More O d. Cannot say because sample size does not affect accur

Step-by-step explanation:

3x-12>2y

Y<1.5x-6 i think this is correct answer

Step-by-step explanation:

I just wrote it down and put it in a photo for you

Answer:

16

Step-by-step explanation:

The magnitude of the frictional force is 100N

The formula for force is expressed as;

F = ma

Such that;

The total frictional force is equal to the force of gravity acting downward of the slope.

F = mg sinθ - F

Now, substitute the values, we have;

F = 1.65 ×9.80 sin (38)

Multiply the values, we have;

F = 161. 7 ×sin (38)

Find the sine value and substitute

F = 161. 7 × 0. 6157

Multiply the values, we get;

F = 100 N

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The complete question:

A hollow spherical shell with mass 1.65 kg rolls without slipping down a slope that makes an angle of 38.0 ∘ with the horizontal. Part A Find the magnitude of the magnitude of the frictional force acting on the spherical shell. take the free-fall acceleration to be g = 9.80 m/s2 .

Answer:

y=-3x-17

Step-by-step explanation:

y=mx+b   (slope-intercept form)           b=y-intercept= (0,?)  m=slope

y=-3x+b  substitute values

y+3x=b isolate b to find b

1+3(-6)=b substitute given ordered pair

-17=b

y=-3x-17

Measures of centre are used to describe the typical or average value of the data, while measures of spread describe the variability or dispersion of the data around the centre. Some common measures of centre and spread include:

Mean: the arithmetic average of the data. It is appropriate for symmetric distributions without outliers.

Median: the middle value of the data. It is appropriate for skewed distributions and distributions with outliers.

Mode: the most common value in the data. It is appropriate for distributions with a prominent peak or mode.

Range: the difference between the maximum and minimum values in the data. It is appropriate for describing the spread of the data, but it can be influenced by outliers.

Interquartile range (IQR): the range of the middle 50% of the data, from the 25th percentile (Q1) to the 75th percentile (Q3). It is appropriate for describing the spread of the data, and it is less influenced by outliers than the range.

Standard deviation: a measure of the average distance of the data from the mean. It is appropriate for symmetric distributions without outliers, and it is used to describe the spread of the data in the context of the mean.

The choice of which measures to use depends on the characteristics of the distribution and the goals of the analysis.

In general, it is important to consider multiple measures of centre and spread in order to obtain a complete understanding of the distribution of the data.

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To calculate the surface aarea, we will use the formula;

T.S.A = 1/2 (pl) + B

where;

p= perimeter of the base

l= slant height

B= area of the base

From the diagram

l= 10 yard

P= 4(16) = 64 yard

B= 16 x 16= 256 yards

Substitute the value into the formula;

T.S.A = 1/2 (64)(10) + 256

=320 + 256

=576 inches²

The required problem can be stated as the sum of a number and 4 is 10.

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
To write a word a problem can be translated into the equation x + 4 = 10. So, the problem can be given as " the required problem can be stated as the sum of a number, and 4 is 10."

Thus, the required problem can be stated as the sum of a number, and 4 is 10.

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The length of each piece of wire is 2.5 inches.

Fractions are used to depict the components of a whole or group of items. Two components make up a fraction. The numerator is the number that appears at the top of the line. It specifies how many identically sized pieces of the entire event or collection were collected. The denominator is the quantity listed below the line. The total number of identical objects in a collection or the total number of equal sections that the whole is divided into are both displayed. A fraction can be expressed in one of three different ways: as a fraction, a percentage, or a decimal. The first and most popular way to express a fraction is in the form of the letter ab. Here, a and b are referred to as the numerator and denominator, respectively.

Let the number of pieces = x

The length of the wire = 5/8 inches

The length of one piece of wire = 1/4 inch

According to the question,

1/4 x = 5/8

So, x = 5/8 × 4

x = 20/ 8

x = 5/2

x = 2.5 inch

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Answer:

A

Step-by-step explanation:

hope this helps

Answer:

x = 12

Step-by-step explanation:

81 + 57 + 2x + 18 = 180

156 + 2x = 180

2x = 24

x = 12

If the measures of triangle are  81⁰, 57⁰ and (2x+18)⁰then value of x is 12.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given triangle has three angles 81⁰, 57⁰ and (2x+18)⁰

According to the angle sum property.

The sum of three angles of triangle is 180⁰

81⁰+57⁰+(2x+18)⁰=180⁰

81+57+2x+18=180

We need to find the value of x of for eighty one plus fifty seven plus two times of x plus eighteen equal to one hundred eighty.

Add 81, 57 and 18

156+2x=180

Subtract 156 from both sides

2x=180-156

2x=24

Divide both sides by 2

x=12

Hence the value of x is 12.

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Answer:

16 ounce can sells for 85 cents

Step-by-step explanation:

29cents / 6 ounce = 4.833cents/ounce

65cents / 16 ounce = 4.0625cents/ounce

4.0625 < 4.833

then:

the better deal is:

16 ounces per 65 cents

Answer:

Step-by-step explanation:

1/5 + 1/5 = 2/5

1/7 + 1/7 = 2/7

1/3 + 1/3 = 2/3

There are an infinite number of these fractions. They must be 1 and 1 in the numerator, and the denominator must be relatively prime  to 2. The examples I have picked are prime in the denominator, but the rule is not without many exceptions. For example

1/9 + 1/9 = 2/9

I don't think you can pick an even denominator because it will reduce when put with two.  Oh wait 2/18 + 2/18 = 4/18 = 2/9 But these could be reduced before adding. Still, it might count. It depends on who is marking the question.

What about an odd and even denominator?

1/9 + 1/18 = 3/18 = 1/6  There must be something that works, but I can't come up with an example.

Answer:

Step-by-step explanation:

Y=6m/1-m

x=3(m+1)/1-m

Answer:

American Revolution!!!

Step-by-step explanation:

Key words- COLONISTS- INDEPENDANCE BRITAN

Answer:

american revolution

Step-by-step explanation:

its the first time that the britian fought the americans

The output value of f(3) in the given function f(x) = 2x² + 5√(x-2) is 23.

Given the data in the question;

To determine the output value, we replace the variable x with 3 in the given function.

f(x) = 2x² + 5√(x-2)

f(3) = 2(3)² + 5√(3-2)

We simplify

f(3) = 2(9) + 5√(1)

f(3) = 18 + 5√(1)

f(3) = 18 + 5(1)

f(3) = 18 + 5

f(3) = 23

Therefore, the output value of f(3) in the given function f(x) = 2x² + 5√(x-2) is 23.

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Answer:

Explanation:

In the given geometric sequence:

We see that:

• The first term, c1 = 4

Also:

• The common ratio, r= -1/3

The explicit formula for a geometric function is obtained using the formula:

Substituting a (the first term, c(1)) and r, we have the explicit formula below:

The system specifications may not be consistent if the router doesn't support the new address space. The reason is that the router must be compatible with the addressing scheme used by the system for proper communication.

If the router does not support the new address space, there might be issues with the system's performance or accessibility. The address space is the number of unique IP addresses that are available in a network. An IP address is required to identify each device on a network and to enable communication between devices.

With the increasing number of devices on a network, new address spaces are required to ensure that each device has a unique IP address. The compatibility of system specifications is a crucial aspect that must be considered when building a system. If the system specifications are not consistent, it might cause the system to malfunction, resulting in poor performance or accessibility issues. Thus, it is important to ensure that the router supports the new address space before integrating it into the system.

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By thoroughly reacting a 2.2g zinc nail with an excess of hydrochloric acid, 0.0075 L of hydrogen gas is created.

The force per unit area on an item in the fluid or on the surface of a closed container is measured as fluid pressure. Gravity, acceleration, or forces outside a closed container can all create this pressure. Because a fluid has no fixed structure, its pressure is applied in all directions.

Here,

The reaction between zinc and hydrochloric acid produces hydrogen gas according to the following equation:

Zn + 2HCl -> ZnCl2 + H2

From the equation, we can see that 1 mole of zinc reacts with 2 moles of hydrochloric acid to produce 1 mole of hydrogen gas. The volume of a gas is proportional to the number of moles at constant temperature and pressure, so if we can determine the number of moles of zinc that were reacted, we can calculate the volume of hydrogen produced.

The moles of zinc can be calculated using the molar mass of zinc:

moles = mass / molar mass

moles = 2.2 g / 65.38 g/mol = 0.0337 mol

Since 1 mole of zinc reacts with 2 moles of hydrochloric acid, the number of moles of hydrogen produced is 0.0337 mol * 1 mol H2/1 mol Zn = 0.0337 mol H2.

Finally, the volume of hydrogen produced at standard temperature and pressure (STP) is calculated using the Ideal Gas Law:

PV = nRT

V = nRT / P

V = (0.0337 mol) * (0.08206 L atm / K mol) * (273.15 K) / (1 atm)

V = 0.0075 L

0.0075 L of hydrogen gas are produced by completely reacting a zinc nail with a mass of 2.2g with an excess of hydrochloric acid.

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Complete question:

What volume of hydrogen gas are produced by completely reacting a zinc nail with a mass of 2.2g with an excess of hydrochloric acid?

Stephen's average speed for the round trip was 48 mph.

To find Stephen's average speed, we can use the formula:

Average Speed = Total Distance / Total Time

Let's assume the distance from Stephen's house to his aunt's house is 'd' miles.

On the way to his aunt's house, Stephen traveled at a speed of 60 mph. So the time taken for this leg of the trip is given by:

Time = Distance / Speed = d / 60

On the return trip, Stephen traveled at a speed of 40 mph. So the time taken for this leg of the trip is:

Time = Distance / Speed = d / 40

The total time for the round trip is the sum of the times for the outward and return trips:

Total Time = d / 60 + d / 40

To find the average speed, we divide the total distance by the total time:

Average Speed = Total Distance / Total Time

The total distance for the round trip is 2d (since it's the same roadway for both trips).

Average Speed = 2d / (d / 60 + d / 40)

Simplifying this expression, we get:

Average Speed = 2d / ((3d + 2d) / 120) = 2d / (5d / 120) = 2d * 120 / 5d = 240 / 5 = 48 mph

Therefore, Stephen's average speed for the round trip was 48 mph.

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The length and breadth of the rectangular land are 28 meters and 18 meters respectively.

Given that the length of a rectangular land is 10 meters more than the breadth of the land. Also, the cost of fencing around the rectangular land is given as Rs. 13,800 for three rounds at Rs. 50 per meter.

To find: Length and Breadth of the land. Let the breadth of the land be x meters Then the length of the land = (x + 10) meters Total cost of 3 rounds of fencing = Rs. 13800 Cost of 1 meter fencing = Rs. 50

Therefore, length of 1 round of fencing = Perimeter of the rectangular land Perimeter of a rectangular land = 2(l + b), where l is length and b is breadth of the land Length of 1 round = 2(l + b) = 2[(x + 10) + x] = 4x + 20Total length of 3 rounds = 3(4x + 20) = 12x + 60 Total cost of fencing = Total length of fencing x Cost of 1 meter fencing= (12x + 60) x 50 = 600x + 3000 Given that the total cost of fencing around the land is Rs. 13,800

Therefore, 600x + 3000 = 13,800600x = 13800 – 3000600x = 10,800x = 10800/600x = 18Substituting the value of x in the expression of length. Length of the rectangular land = (x + 10) = 18 + 10 = 28 meters Breadth of the rectangular land = x = 18 meters Hence, the length and breadth of the rectangular land are 28 meters and 18 meters respectively.

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Step-by-step explanation:

You can actually factorise this equation like how you factorise quadratic equations,

LHS = sin⁴a + 2sin²a cos²a + cos⁴a

= (sin²a + cos²a)²

Again, by using the identity sin²a + cos ²a = 1,

= (1)²

= 1

= RHS (Proven)

Answer:

$30.47

Step-by-step explanation:

100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps

According to the question The equilibrium constant \((K_{eq})\) relates the concentrations of reactants and products \(K_{eq} \ for\ 2AB \rightleftharpoons 2A + 2B \ is\ 49.\)This indicates that the equilibrium position favors formation of products.

The equilibrium constant \((K_{eq})\) relates the concentrations of reactants and products in a chemical reaction at equilibrium. In the given reaction,

\(A + B \rightleftharpoons AB, the\ K_{eq}\ is\ 7\).

When considering the reaction \(2AB \rightleftharpoons 2A + 2B\), the stoichiometric coefficients are doubled on both sides. According to the principles of equilibrium, the equilibrium constant for the modified reaction can be obtained by squaring the original \(K_{eq}\).

Therefore, the \(K_{eq}\) for \(2AB \rightleftharpoons 2A + 2B is (K_{eq})^2 = (7)^2 = 49\). This indicates that the equilibrium position favors the formation of products in the double reaction compared to the original reaction.

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You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Answer:

25 percent

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

Use Percent equation (p = n w) or part of the whole = percentage times the whole

so we would have

12 = n 50

12/50 = n

0.24 = n

0.24 = 24%

Optical Illusions (OI) are visual images or phenomena that trick the human brain into perceiving something that does not exist or perceiving something differently from its reality.

OIs are created by combining visual elements in a way that conflicts with the brain's ability to interpret or process what it is seeing. OIs can be either physiological or cognitive illusions, with each type produced by a different mechanism.

Physiological illusions are illusions that occur because of the eye and the brain's physiological functions. For example, afterimages are a type of physiological illusion in which the brain continues to see an image after it has been removed from the viewer's sight.

The perception of color also involves physiological illusions since the colors we see are not necessarily the colors of the objects themselves.Cognitive illusions, on the other hand, are illusions that occur when our brains try to make sense of the information they are receiving.

One example of a cognitive illusion is the Müller-Lyer illusion, where two lines of the same length appear to be of different lengths due to the arrows at each end pointing in different directions.

This illusion demonstrates how the human brain is influenced by contextual cues and visual input.OIs have been studied for many years and have been used in various fields, including art, psychology, and neuroscience.

Some of the applications of OIs include entertainment, education, and even medical research. They are also used in advertising, marketing, and product design.

OIs are fascinating phenomena that continue to capture the interest and curiosity of people around the world.

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Answer:

84 and 140

Step-by-step explanation:

Jack chooses two numbers between 50 and 150

The two numbers have a Lowest Common Multiple (LCM) of 420

Factors of 420 between 50 to 150

= 60, 70, 84, 105, 140

We are also told that:

They have a Highest Common Factor (HCF) of 28

Hence, we find out of the factors above, which numbers can be divided by 28 without having any remainder.

60/28 = 2.1428571429

70/28 = 2.5

84/28 = 3

105/28 = 3.75

140/28 = 5

Therefore, the two numbers are

84 and 140

as per as I can think the answet will be 38

please give me brainliest if my answer is correct

To complete the table, we can simply multiply the number of calories by 0.239 to find the equivalent amount of Joules.

The equation relates Joules to calories as j = 0.239c, where c stands for calories and j stands for joules. For example, 1 calorie is equal to 0.239 Joules, 2 calories is equal to 0.478 Joules, and so on.

Joules (j)              Calories (c)

0.239c                  1

0.478c                  2

0.717c                  3

0.956c                  4

1.195c                  5

1.434c                      6

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Complete Question

The displacement (in centimetres) of a particle moving back and forth along a straight line is given by the equation of motion

s = 4 sin(πt) + 2 cos(πt),

where t is measured in seconds. (Round your answers to two decimal places.)

(a) Find the average velocity during each time period.

i. [1,2]

ii. [1 ,1.1]

iii. [1, 1.01]

Answer:

\(V_A_1=4m/s\)

\(V_A_2=-11.38m/s\)

\(V_A_3=-12.47m/s\)

Step-by-step explanation:

From the question we are told that

Equation of motion is given by

\(s = 4 sin(\pi t) + 2 cos(\pi t)\)

Generally equation for average velocity is mathematically given by

  \(V_A=\frac{S(y)-S(x)}{y-x}\)

  \(V_A=\frac{4 sin(\pi t) + 2 cos(\pi t)(y)-(4 sin(\pi t) + 2 cos(\pi t))(x)}{y-x}\)

a) Co-ordinate(1,2)

 \(V_A=\frac{4 sin(\pi y) + 2 cos(\pi y)-(4 sin(\pi x) + 2 cos(\pi x))}{y-x}\)

 \(V_A=\frac{4 sin(\pi 2) + 2 cos(\pi 2)-(4 sin(\pi) + 2 cos(\pi))}{2-1}\)

 \(V_A=\frac{0+ 2*1-(0 + 2)*-1}{2-1}\)

 \(V_A_1=4m/s\)

b)Co-ordinate(1,1.1)

    \(V_A_2=\frac{4 sin(\pi 1.1) + 2 cos(\pi 1.1)-( sin(\pi ) + 2 cos(\pi ))}{1.1-1}\)

    \(V_A_2=\frac{0+ 2*-1-(-0.30902*2)+2*-0.95106}{1.1-1}\)

    \(V_A_2=\frac{((-0.30902*2)+2*-0.95106)-(0+ 2*-1)}{1.1-1}\)

    \(V_A_2=\frac{((-3.1382)-(-2)}{1.1-1}\)

    \(V_A_2=-11.38m/s\)

c) Co-ordinate(1,1.01)

    \(V_A_3=\frac{4 sin(\pi 1.01) + 2 cos(\pi 1.01)-( sin(\pi ) + 2 cos(\pi)}{1.01-1}\)

    \(V_A_3=\frac{0.2214045768+1.996933901)-(-2)}{1.01-1}\)

    \(V_A_3=\frac{(-2.12)-(-2)}{1.01-1}\)

    \(V_A_3=-12.47m/s\)