how to change 6 as decimal ?

The reasonable value of the range would depend on a variety of factors, such as the difficulty of the exam, the amount of material covered, and the level of preparation of the students. However, as a general guideline, a reasonable range for the number of hours studied for an exam might be around 10 to 20 hours. This would suggest that students are putting in a reasonable amount of effort and time to prepare for the exam, without overdoing it or under-preparing.

Therefore, the probability that a truck drives between 92 and 144 miles in a day is 0.7454, or about 74.54% (rounded to four decimal places).

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. An event with probability 0 is impossible, while an event with probability 1 is certain. In probability theory, an event is any outcome or set of outcomes of a random process or experiment. The probability of an event is determined by calculating the ratio of the number of ways the event can occur to the total number of possible outcomes. Probability is used in a wide variety of fields, including mathematics, statistics, physics, engineering, finance, and economics, to model and analyze random phenomena and make predictions about future events.

Here,

To solve this problem, we need to standardize the given values using the formula:

z = (x - μ) / σ

where z is the standard normal random variable, x is the observed value, μ is the mean, and σ is the standard deviation.

For x = 92:

z = (92 - 110) / 25 = -0.72

For x = 144:

z = (144 - 110) / 25 = 1.36

Using a standard normal distribution table or a calculator, we can find the probability that a standard normal random variable falls between -0.72 and 1.36:

P(-0.72 < z < 1.36) = 0.7454

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The value of f(-7) in the given function, f(x) = -x^2 + 2x + 6, is -57

From the question, we are to determine the value of f(-7) in the given function

The given function is

f(x) = -x^2 + 2x + 6

To find the value of f(-7) in the given function,

We will substitute -7 for x in the expression for f(x) and evaluate the resulting expression

That is,

f(x) = -x^2 + 2x + 6

f(-7) = -(-7)^2 + 2(-7) + 6

Simplifying this expression gives:

f(-7) = -49 - 14 + 6

f(-7)= -57

Hence, the value of f(-7) is -57

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In this case, when you have a subtraction of -7a^2 and then an addition of +10a^2, you can simplify the expression by adding the coefficients of the two terms that have the same literal and exponent.

So, you have:

-7a^2 + 10a^2

To add or subtract these terms, we need to have the same literal and exponent, which is the case here. The coefficients of the terms are -7 and 10, so we can add them to get:

-7a^2 + 10a^2 = 3a^2

Therefore, the simplified expression is 3a^2.

In summary, when you have terms with the same literal and exponent, you can add or subtract their coefficients to simplify the expression.

1. Option B. A correlation exists between two variables when higher values of one variable consistently go with higher or lower values of another variable

2. Option C. Amount of smoking and lung cancer, height and weight of people, price of a good and demand of the good

Examples of pairs of variables that are correlated:

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The value of x in the right triangle is 8.7 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The side of a right angle triangle can be found using trigonometric ratios or Pythagoras's theorem.

Hence, let's use Pythagoras's theorem,

c² = a² + b²

where

Therefore,

x² = 10² - 5²

x² = 100 - 25

x = √75

x = 8.66025403784

Therefore,

x = 8.7 units

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In 120 minutes, all the three boats will next meet at the starting location. The solution has been obtained by using the concept of least common multiple.

What is least common multiple?

Least Common Multiple is abbreviated as LCM. The smallest multiple shared by two or more different numbers is referred to as the least common multiple.

We are given that three boats start cruising around a small island starting at the same time and from the same location, and following the same route.

They take one full circle around the island which is 2 km.

First boat:

It covers 5 km in 60 minutes.

So, it will cover 2 km in 60/5 * 2 = 24 minutes

Second boat:

It covers 4 km in 60 minutes.

So, it will cover 2 km in 60/4 * 2 = 30 minutes

Third boat:

It covers 3 km in 60 minutes.

So, it will cover 2 km in 60/3 * 2 = 40 minutes

Now, taking the LCM of 24, 30 and 40, we get 120.

Hence, in 120 minutes all the three boats will next meet at the starting location.

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The conversion of 184 centimetres in feet is equals to the 6.03 feet. Thus, conversion factor from centimetres to feet is 6.03/184 = 0.032.

A conversion factor is a number used to convert one set of units into another set of units by multiplication or division. If conversion is necessary, a conversion factor suitable for equivalent value must be used. For example, to convert meters to centimetres, the appropriate conversion value is 100 centimetres equal 1 meter. It includes converting a value from inches to millimeters, for distance from miles to kilometers, feet or other units. How to convert centimeters to feet : One meter is a measure of length and equals approximately 3.28 feet. Thus conversion factor is 3.28 feet. So, 184meters

= 184× 3.28 feet

= 603.52 feet --(1)

But we need to convert 184 centimeters to feet. So, change meters to centimeters. As you know, 1 meter = 100 centimeters, so 184 meters = 18400 centimeters --(2). Now from equations (1) and (2),

18400 centimeters = 603.52 feet,

Divide both parts by 100,

=> 184 centimetres = (603.52/100 ) feet

= 6.03 feet

Hence required value is 6.03 feet.

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Based on the information, it can be inferred that Susan can receive a 100% refund of the taxes that were erroneously charged to her.

According to the previous information we can infer that the government can refund 100% of the money that she wrongly contributed to her taxes. This is because this return does not have a %, but is equivalent to the excess contributions that she made. Due to the above, we can affirm that she can receive all the surpluses that she contributed without any type of withholding or percentage.

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The price after the discount is,

⇒ $58.5

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A jersey originally cots $50.

And, It was marked up 30% after a championship win and then discounted 10% a few months later.

Now, The markup price is,

⇒ $50 + 30% of $50

⇒ $50 + 30/100 × $50

⇒ $50 + $15

⇒ $65

And, After 10% discount the price is,

⇒ $65 - 10% of $65

⇒ 65 - 10/100 × 65

⇒ $65 - $6.5

⇒ $58.5

Thus, The price after the discount is,

⇒ $58.5

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The volume of the solid is 342.9 sq. cm.

The volume of an object is the amount of substance that the object can contain. Th three dimensions of the object is required in order to determine its volume.

Considering the question,

volume of a cylinder = [tex]\pi[/tex]r^2h

Where r is the radius and h is the height of the cylinder.

volume of the hole = length*width*height

Thus,

The volume of a cylinder = [tex]\pi[/tex]r^2h

                   = 22/7*4^2*10

                   = 502.86

The volume of the cylinder is 502.86 sq. cm.

The volume of the hole = length*width*height

                                     = 4*4*10

                                     = 160 sq cm.

The volume of the solid = volume of a cylinder  - volume of the hole

                                         = 502.86 - 160

                                      = 342.86

The volume of the solid is 342.9 sq. cm.

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The situation cannot be modeled by a linear equation. The processing fee is $42 and the daily fee is $102.With a budget of $1200maximum number of days you can rent the beach house is 6 days

a. To determine if the situation can be modeled by a linear equation, we can plot the data on a graph with days on the x-axis and total cost on the y-axis.

When we plot the data, we can see that it does not form a straight line, which means the situation cannot be modeled by a linear equation.

b. To find the processing fee and the daily fee, we can use the information given in the table.

Let's call the processing fee "p" and the daily fee "d". We can set up two equations to represent the total cost for two different numbers of days:

2d + p = 246

4d + p = 450

Subtracting the first equation from the second, we get:

2d = 204

So, d = 102.

Substituting d = 102 into the first equation, we get:

2(102) + p = 246

Solving for p, we get:

p = 42

Therefore, the processing fee is $42 and the daily fee is $102.

c. We can use the equation for the total cost with the processing fee and daily fee we found in part (b) to determine the maximum number of days we can rent the beach house for $1200.

8d + p = 858

Substituting p = 42 and d = 102, we get:

8(102) + 42 = 858

Simplifying, we get:

840 + 42 = 882

So, we can rent the beach house for a maximum of 6 days with a budget of $1200

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The average cost of an entree on a restaurant menu that is $15 describes the mean, not the median.

The mean is the average value of a data set.

To compute the average, the total value of the data set is divided by the number of items involved.

The average value or mean is the quotient of the total value and the number of data items.

On the other hand, the median describes the middle value of an ordered list of data values.

Thus, when an entree on a restaurant menu costs $15 on average, it is a description of the mean value and not the median.

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Linear Equation and It's Application in Real Life

In the given problem, it is an application of linear equation and solving word problem about mathematical operation. It is a combination of general mathematics and algebra.

In word problem about time and work, the equation is 1/x + 1/y + 1/z + ... = 1/t, where

x is the amount of time consume by first person

y is the amount of time consume by second person

z is the amount of time consume by third person

t is the amount of time they consume working together.  

In this case, to solve for the amount of work that Rizal can finish the school project alone.

1/x + 1/y + 1/z + ... = 1/t

It can be derived as 1/x = 1/t - (1/y + 1/z + ... ), where x is the amount of work done by Joseph, and y for Maria.

Given

Joseph can finish the chores in 2 hours

Maria can finish the same chores in 4 hours.

Create  mathematical equation using the given formula for work problem.

1/x + 1/y = 1/t, where x = 2 hours, and y = 4 hours

½ + ¼ = 1/t, solve for t

The LCD of 2, 4 and t is 4t, the new equation will be

4t(1/2) + 4t(1/4) = 4t(1/t)

2t + t = 4

3t = 4

t = 4/3

t = 1 1/3 hours

Final Answer

1 1/3 hours to complete the task when they work together.  

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The value of phone B is [tex]\omega = 840[/tex].

Any equation with a maximum degree of 1 is said to be linear. In a linear equation, no variable has an exponent bigger than 1, thus. There is always a straight line on the graph of a linear equation.

Given that each term in a linear equation has an exponent of 1, graphing an algebraic equation always yields a straight line.  For this reason, it is referred to as a "linear equation." There are both one-variable and two-variable linear equations.

[tex]v= 1000[/tex]

[tex](\frac{4}{5})^d[/tex] is the value of phone A and

[tex]\omega = 840[/tex] is the value of phone B.

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Complete Question;

For each cell phone, write an equation that relates the value of the phone in dollars to the years since release, t. Use v for the value of Phone A and w for the value of Phone B.

333 whole cups can be filled to full capacity before the water cooler is empty.

What is volume of an object?

The volume of an object is the amount of space occupied by the object or shape, which is in three-dimensional space. It is usually measured in terms of cubic units. In other words, the volume of any object or container is the capacity of the container to hold the amount of fluid (gas or liquid).

First, we need to calculate the volume of one cone-shaped cup:

The formula for the volume of a cone is V = (1/3)πr²h, where r is the band h is the height. Since the diameter of the cup is given as 2 inches, the radius is 1 inch. Thus, the volume of one cup is:

approximately 333 whole cups can be filled to full capacity before the water cooler is empty.

Next, we need to determine how many cups can fit into the water cooler. To do this, we can divide the volume of the cooler by the volume of one cup:

          [tex]V = \frac{1}{3} \pi 1^{2} 3 \\\\V= \frac{1}{3} \pi \ cubic\ inches[/tex]

Number of cups = Volume of cooler / Volume of one cup

Number of cups = 350 cubic inches / [(1/3)π cubic inches]

Number of cups ≈ 333 whole cups

Therefore, approximately whole cups can be filled to full capacity before the water cooler is empty.

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Answer:

p = 6.95 + (0.95 × t)

Step-by-step explanation:

A function rule explains how to convert an input value (x) into an output value (y) for any given function.

To get the total price (p) we need to add the cost of the pizza itself, and add each topping. The part of the equation (0.95 × t) can solve for the price of each topping, so we add that on.

The slope is 0.625 or 5/8.

Remember: Rise Over Run(Up or Down is the numerator and left or right is the denominator)

M = Slope

M = 5 ÷ 8

5 ÷ 8 = 0.625

Hope this Helped! Have a Good Day!

Lanthanum, a chemical element with the atomic number 57, has the symbol La in the Periodic Table.

Density is calculated by comparing an object's mass to its volume.

In this question the density of lanthanum is given in grams per mililitre.

For lanthanum density, the appropriate response is 6.15 grammes per millilitre.

To convert grams into kilograms, we do

Since\s1g=.001kg

Hence, the formula to determine the density of lanthanum in kilogrammes is 0.001*6.15g/ml, or 0.00615kg/ml.

Hence, 0.001*6.15g/ml, or 0.00615kg/ml, is the formula for computing the density of lanthanum in kilogrammes. Therefore,

The density will then be 0.00615/0.454 lbs/ml, or 0.0135462555066 lbs/ml, which is the equivalent in pounds.

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The maximum error in using the value of the radius to compute the volume of the sphere is approximately 554.86 cubic centimeters.

What is sphere ?

A sphere is a three-dimensional shape that is perfectly round, with all points on the surface at an equal distance from the center.

The formula for the volume of a sphere is given by V = (4/3)πr³, where r is the radius of the sphere.

The maximum error in the measurement of the radius is given as 0.03 cm. Therefore, the actual radius of the sphere can be anywhere between 20.97 cm (21 - 0.03) and 21.03 cm (21 + 0.03).

To find the maximum error in using this value of the radius to compute the volume of the sphere, we need to find the maximum possible difference in the volumes calculated using these two values.

So, we can calculate the volume of the sphere using the maximum and minimum values of the radius as follows:

V_max = (4/3)π(21.03)³

V_min = (4/3)π(20.97)³

Now, we can find the difference between these two values to get the maximum possible error:

Max error = V_max - V_min

Max error = (4/3)π(21.03)³ - (4/3)π(20.97)³

Max error ≈ 554.86 cubic centimeters

Therefore, the maximum error in using the value of the radius to compute the volume of the sphere is approximately 554.86 cubic centimeters.

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The quotient of (5+21) (6-4) and (2+1) is 13/3, expressed in its simplest form

The quotient of two numbers is a way of expressing the ratio of their values. It is the result of dividing one number by the other, and can be written as a fraction or as a decimal.

The quotient of 4 and 8 is 0.5, since 4 divided by 8 is 0.5.

The quotient of (5+21) (6-4) and (2+1) can be expressed as follows:

First, we need to solve each parenthesis separately. The first parenthesis is (5+21), which equals 26. The second parenthesis is (6-4), which equals 2. Therefore, the quotient of (5+21) (6-4) is 26/2, which can be simplified to 13/1.

Now, we need to divide 26/2 by (2+1). The result is 13/3, which is the final quotient.

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Answer:

[tex] \sf \: d) \: 6[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 2x + 12 = 24

Then the value of x will be,

→ 2x + 12 = 24

→ 2x = 24 - 12

→ 2x = 12

→ x = 12 ÷ 2

→ [ x = 6 ]

Hence, option (d) is correct.

Answer:

D

Step-by-step explanation:

step by step... solved

[tex]{ \qquad \qquad \huge \rm \underline{ \underline{ \Répondre}}} [/tex]

lets find the equation of line in two point form, considering points (0 , 0) and (-3 , 4)

[tex]\qquad \rm\dashrightarrow \:y - 0= \dfrac{4 - 0}{ - 3 - 0} (x -0)[/tex]

[tex]\qquad \rm\dashrightarrow \:y = - \dfrac{4 }{ 3 } x [/tex]

That's the required equation ~

You can also simply it as :

[tex]\qquad \rm\dashrightarrow \:3y= - 4x[/tex]

[tex]\qquad \rm\dashrightarrow \:4x + 3y = 0[/tex]

The base of the triangle is 9 inches and the height is 2 inches.

Let's denote the height of the triangle as h, and the base as b.

We know that the area of a triangle is given by the formula:

Area = (1/2) * base * height

Substituting the values we have:

9 = (1/2) * b * h

Multiplying both sides by 2 gives:

18 = b * h

We also know that the base is 5 inches more than 2 times the height:

b = 2h + 5

Substituting this expression for b in terms of h in the area equation, we get:

18 = (2h + 5) * h

Expanding the right-hand side, we get:

18 = 2h^2 + 5h

Rearranging this equation, we get:

2h² + 5h - 18 = 0

We can solve for h by using the quadratic formula:

h = [-b ± [tex]\sqrt{b² - 4ac}[/tex]] / 2a

where a = 2, b = 5, and c = -18.

Plugging these values into the formula, we get:

h = [-5 ± [tex]\sqrt{5^{2} - 4(2)(-18) }[/tex]] / (2 * 2)

Simplifying:

h = [-5 ± [tex]\sqrt{169}[/tex]] / 4

Taking the positive solution:

h = [-5 + 13] / 4

h = 2

Now that we know the height is 2 inches, we can use the equation b = 2h + 5 to find the base:

b = 2(2) + 5 = 9

Therefore, the base of the triangle is 9 inches and the height is 2 inches.

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One milliliter is equal to one cubic centimeter

To convert 1 milliliter to cubic centimeter , we can use the following formula:

1 mm = 1 cc

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The volume in cc = Conversion factor × The volume in ml

Substitute the values in the equation

The volume in cc = 1 × 1

Multiply the terms

= 1 cc

Therefore, one ml is 1 cc

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Option C is correct. Meta-analysis takes all of the correlations found in studies of a particular relationship and calculates a weighted average of them.

In order to identify results on a broad scale, meta-analysis looks for common threads among various studies and applies weights to them. In essence, it expands on the numerous research that might be conducted on a certain relationship topic. For instance, one particular relationship might be investigated using various methods at various points in time. A meta-analysis attempts to compile all of these studies, assign weights to each study, and then determine the outcomes that are on a meta-level, or bigger picture, after taking into account all of the various correlations.

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The value of linear equation which representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an customer is,

⇒ y = 150x

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

For new customers, there is an additional one-time $150 service fee.

Now, Let the number of months of service = x

And, the total amount paid in dollars by an customer = y

Hence, The correct linear equation is,

⇒ y = 150x

Thus, The value of linear equation which representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an customer is,

⇒ y = 150x

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To convert between pounds and kilogrammes, multiply the number of pounds by 0.45359237, and to do the opposite, multiply the number of kilogrammes by 2.20462.

So, 64 kg is equal to 141.095 lbs.

One pound is nearly equal to 454 grams. A kilogramme value is 2.20462 pounds.

1 pound is equal to 0.45359237 kilograms.

Use the formula below to convert kilogrammes (kg) to pounds (lbs):

For conversion of kilograms to pounds, multiply your figure by 2.20462

64 kg can be converted to pounds by multiplying by 2.20462:

96 kg X 2.20462 lbs/kg

=141.095 lbs

Therefore, 64 kg is nearly equal to 141.095 lbs.

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