how can you use division to find the decimal equivalent of a rational number ?

An expression is defined as a set of numbers, variables, and mathematical operations. The value of x that will satisfy the given statement "the sum of a number x and 7 is 35" is 28.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given the statement that the sum of a number x and 7 is 35. Therefore, the given statement "the sum of a number x and 7 is 35" in the form of an expression can be written as,

x + 7 = 35

Subtract 7 from both the sides of the equation,

x +7 - 7 = 35 - 7

x = 28

Hence, the value of x that will satisfy the given statement "the sum of a number x and 7 is 35" is 28.

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Answer:

15 answers

Step-by-step explanation:

To solve this question we need to set up an equation.

Let's name the number of incorrect answers x.

We can set up an equation that's essentially:

(Points for correct answer)*(number of correct answers)+(points for incorrect answer)*(number of incorrect answers)=final score

When we plug in our numbers and variables it looks like this:

5(3)+(-2x)=-15

Simplify

15-2x=-15

Subtract 15 from both sides

-2x=-30

Divide both sides by -2

x=15

This means Smitha attempted 15 wrong answers, and that there were 18 questions in total.

1. The interval that contain the exact percentage of all Florida teenagers is from 73.4% to 84.6%.

2. The range of the number of teenagers in Florida who think helping others is important is between 1,541,400 and 1,779,600 teenagers.

Margin of error (ME) = 2.9%

Sample size (n) = 800

Sample proportion (p) = 79% = 0.79

To get interval that contain exact percentage of all Florida teenagers who think that helping others who are in need will be very important to them as adults. We can use: CI = p ± z* (ME)

Assuming a 95% confidence level, z* = 1.96.

CI = 0.79 ± 1.96*(0.029)

CI = 0.79 ± 0.05684

CI = 0.79 + 0.05684 or 0.79 - 0.05684

CI = 0.84684 or or 0.7334

CI = (0.734, 0.846).

To get range of the number of teenagers in Florida, we will multiply the interval by the population size:

Lower bound:

= 0.734 * 2,100,000

= 1,541,400

Upper bound:

= 0.846 * 2,100,000

= 1,776,600.

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Answer:

1. CHECK

2. CHECK

Step-by-step explanation:

i hole it helps

Answer:

volume of cube=441cm³

l³=441cm³

l=

\( \sqrt[3]{441} \)

length=7.6cm

Answer:

Scale factor: 4:1

Ratio of perimeter: 4:1

Step-by-step explanation:

So basically, there is difference between the ratio of areas and the scale factor.

The area of a shape is equal to the scale factor squared.

We know that the ratio of the 2 areas is 16:1

So, the scale factor must be: \(\sqrt[2]{16}: \sqrt[2]{1}\),

Which is basically 4:1

Because the ratio of the scale factor is also equal to the ratio of the perimeter, the ratio of perimeters is also 4:1

The question is an illustration of selection (or combination)

The number of lock combination is 343

The given parameters are:

\(n = 7\) --- the number of digits to select from

\(r = 3\) --- the number of digits the lock uses

Because the digits can be repeated, the number of lock combinations is:

\(Lock = n^r\)

So, we have:

\(Lock = 7^3\)

\(Lock = 343\)

Hence, the number of lock combination is 343

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The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Here is a simple example of how bubble sort works in C++:

void bubbleSort(int arr[], int n) {

   for (int i = 0; i < n - 1; i++) {

       for (int j = 0; j < n - i - 1; j++) {

           if (arr[j] > arr[j + 1]) {

               int temp = arr[j];

               arr[j] = arr[j + 1];

               arr[j + 1] = temp;

           }

       }

   }

}

Bubble sort is a simple sorting algorithm that works by repeatedly swapping adjacent elements that are in the wrong order. The algorithm continues this process until no more swaps are needed, which means that the elements are sorted.

The basic idea behind bubble sort is to compare each pair of adjacent elements and swap them if they are in the wrong order. This process is repeated until no more swaps are needed, which means that the elements are sorted.

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d) about 39.07% of the chicks weigh between 196 and 317.

To answer these questions, we can use the provided five-number summary and apply the concepts of quartiles and percentiles.

a. To find the percentage of chicks weighing more than 196, we need to calculate the percentage above the first quartile (Q1). The first quartile (Q1) represents the 25th percentile, meaning 25% of the chicks weigh less than or equal to Q1.

The percentage of chicks weighing more than 196 is therefore:

100% - 25% = 75%

Therefore, about 75% of the chicks weigh more than 196.

b. Similarly, to find the percentage of chicks weighing more than 263, we need to calculate the percentage above the median. The median represents the 50th percentile, so 50% of the chicks weigh less than or equal to the median.

The percentage of chicks weighing more than 263 is:

100% - 50% = 50%

Therefore, about 50% of the chicks weigh more than 263.

c. To find the percentage of chicks weighing more than 317, we need to calculate the percentage above the third quartile (Q3). The third quartile (Q3) represents the 75th percentile, meaning 75% of the chicks weigh less than or equal to Q3.

The percentage of chicks weighing more than 317 is:

100% - 75% = 25%

Therefore, about 25% of the chicks weigh more than 317.

d. To find the percentage of chicks weighing between 196 and 317, we need to calculate the percentage between the first quartile (Q1) and the third quartile (Q3). The difference between the first quartile and the third quartile represents the interquartile range (IQR).

The percentage of chicks weighing between 196 and 317 is the percentage within the IQR:

Q3 - Q1 = 315 - 197 = 118

Percentage within the IQR = (118 / (Max - Min)) * 100

                           = (118 / (410 - 108)) * 100

                           = (118 / 302) * 100

                           ≈ 39.07%

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The correct option is option (b) . The statement that mean of the sampling distribution is same as the population parameters is not true .

Sampling Distribution:

A statistical sampling distribution is a type of probability distribution constructed by drawing a large number of random samples of a specified size from the same population. These distributions are useful for understanding how sample statistics vary from sample to sample. Mean of sampling distribution:

The distribution of the values of the sample mean (x- bar) in replicate samples is called the x -bar sampling distribution.

Central Limit Theorem :

For populations with finite mean μ and finite nonzero variance σₓ, the sampling distribution of the mean approaches a normal distribution with mean μ and variance σₓ/N, and for large N (sample size) become.

distribution is depends on sample size

Hence, the correct option is option (c) which gives the false or not true statement about mean of sampling distribution.

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The expected time taken for the system to fail is dependent on the specific details of the system in question.

However, if we assume that the three modes have equal probabilities of occurring and that the failure occurs when the system reaches a specific mode, we can use the concept of Markov chains to find the expected time until failure.

In this case, the expected time until failure would be the reciprocal of the probability of the system transitioning to the failure mode.

Therefore, if each mode has an equal probability of 1/3, the expected time until failure would be 3 units of time.

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Answer:

The diameter is 6ft

Step-by-step explanation:

Answer: 2 x radius

Step-by-step explanation:

Divide 3 by 2 for the radius.

Answer:

It would take 8 hours.

Step-by-step explanation:

We can solve using proportion.

\( \frac{100 \: km}{1 \: hour} = \frac{800 \: km}{x} \\ \\ \frac{800}{100} = \frac{100x}{100} \\ \\ 8 = x\)

9514 1404 393

Answer:

  8 hours

Step-by-step explanation:

  time = distance/speed

  time = (800 km)/(100 km/h) = (800/100) h = 8 h

It would take 8 hours to travel 800 km.

A. The power of the two-tailed hypothesis test with α = .05 is 0.53.

B. The power of the one-tailed hypothesis test with α = .05 is 0.95.

A hypothesis test is used to make decisions about a population based on sample data. It involves specifying a null hypothesis, collecting data, and then assessing the data to either reject or accept the null hypothesis.

A. The power of the two-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- (1-α)\(^{1/2}\)

=1- (1-0.05)\(^{1/2}\)

=0.525

=0.53

This means that the researcher has an 53% chance of correctly rejecting the null hypothesis that there has been no change in the IQ over the past 10 years.

B. The power of the one-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- α

=1- 0.05

= 0.95

This means that the researcher has a 95% chance of correctly rejecting the null hypothesis that there has been no increase in the IQ over the past 10 years.

This is a higher power than the two-tailed test because the one-tailed test focuses on detecting an increase in the IQ, while the two-tailed test can detect both an increase or decrease in the IQ.

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Answer:

the volume is 288 squared cm

Step-by-step explanation:

The mass (in grams of each muffin out of the 100 muffins is 5802 g

given data

number of identical muffins = 100

Total mass of muffins = 5802 g

Deductions from the question

let each muffin have a mass of x such that

100 * x = 5820

100x = 5802

x = 5802 / 100

x = 58.02

Therefore the mass of each muffin is 58.02 g. and this results to mass of 100 muffins being 5802 g

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Answer:

I will try to help but where us ur question ¿

Answer:

− 7 x + 20

Step-by-step explanation:

Since  7 x − 20 − 7 x + 20 = 0 , then  − 7 x + 20  is the additive inverse of  7 x − 20

Answer: \(\sqrt{12x}\)

Step-by-step explanation:

Answers:

5) product is \(35ax^2 - 42axy + 7y^2\)

6) product is \(-a^6b^2 - 8a^5b - 5a^4\)

7) product is \(12x^5y + 6x^4y^2 + 21x^3y^3\)

8) product is \(3x^3y^2 - 6x^3y + 3x^5y - 3x^4y\)

9) product is \(x^{3n} + 7x^{n+1} - 3x^n\)

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

Explanation:

For each of these questions, you'll multiply the term outside by each term inside the parenthesis. I'm using the distributive property.

In problem 5, we multiply the outer 7a by the following terms inside like so

\(7a(5x^2-2xy+y^2-4xy)\\\\7a(5x^2-6xy+y^2)\\\\7a(5x^2)+7a(-6xy)+7a(y^2)\\\\35ax^2-42axy+7ay^2\\\\\)

The other problems will have similar steps.

--------

A useful rule to keep in mind is that \(a^b*a^c = a^{b+c}\)

For example, \(x^2*x^3 = x^{2+3} = x^5\)

Deone's length was 19.5 inches at birth. Assuming his development proceeds normally, his length should be about 29.5 inches by his first birthday.

We know that According to the Centers for Disease Control and Prevention (CDC), the average length for a boy at birth is around 20 inches, and the average length for a boy at one year of age is around 30 inches.

To estimate Deone's length at one year of age, we use the average growth rate between birth and one year, which is approximately 10 inches.

So , we add 10 inches to Deone's length at birth of 19.5 inches to estimate his length at one year of age:

⇒ Estimated length at 1 year = 19.5 inches + 10 inches = 29.5 inches

Therefore, Deone's length should be about 29.5 inches by his first birthday, assuming that his development proceeds normally.

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Answer:

Your answer simplified is 5/2

Step-by-step explanation:

Yes, a logarithmic function is the inverse of an exponential function.

An exponential function is of the form f(x) = aˣ where 'a' is the base and 'x' is the exponent. The exponential function represents exponential growth or decay.

A logarithmic function is an exponential function's inverse. A logarithmic function is of the form g(x) = logₐ(x), where 'a' is the base and 'x' is the argument. The logarithmic function represents the power to which the base 'a' must be raised to obtain the value 'x'.

When an exponential function and its inverse logarithmic function are composed together, they "cancel out" each other, returning the original input. Similarly, when a logarithmic function and its inverse exponential function are composed together, they also "cancel out" each other, returning the original input.

Therefore, an exponential function and its inverse logarithmic function are mathematically related as inverse functions.

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Answer:

Step 1: 10 group(s) of 23=230

Step 2: 6 group(s) of 23=138

Step 3: Add the partial quotients: 10 + 6 = 16

Step-by-step explanation:

The absolute maximum of the function on the given interval is at x = 7, and the value is f(7) = 4^(3/4).

To determine the location and value of the absolute extreme values of the function f(x) = (x-3)^3/4 on the interval [-7, 7], follow these steps:

1. Find the critical points by taking the derivative of the function and setting it to zero.
2. Evaluate the function at the critical points and the endpoints of the interval.
3. Compare the function values to determine the absolute maximum and minimum.

Step 1: Find the critical points.
f(x) = (x-3)^(3/4)
f'(x) = (3/4)(x-3)^(-1/4)

Set f'(x) = 0
(3/4)(x-3)^(-1/4) = 0

There is no solution for x, so there are no critical points.

Step 2: Evaluate the function at the endpoints of the interval.
f(-7) = (-7-3)^(3/4) = (-10)^(3/4) = 10^(3/4) * (-1)^(3/4)
f(7) = (7-3)^(3/4) = 4^(3/4)

Step 3: Compare the function values.
f(-7) = 10^(3/4) * (-1)^(3/4)
f(7) = 4^(3/4)

Since (-1)^(3/4) is a complex number and f(7) is a real number, the absolute maximum occurs at x = 7.

The absolute maximum of the function on the given interval is at x = 7, and the value is f(7) = 4^(3/4).

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The set of all points in a plane that are the same distance from a given point called the center. Therefore, option A is the correct answer.

We need to define the circles.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Here is a list of properties of a circle:

The set of all points in a plane that are the same distance from a given point called the center. Therefore, option A is the correct answer.

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Answer:

5353 ft

Step-by-step explanation:

We have height of the mountain = x

We also have

tan (21°44')= x/13428.7 → x=5352.98ft

Height of the mountain to the nearest foot = 5353 ft

Hope this helps ʕ•ᴥ•ʔ

The value of the diagonal will be equal to 20√2.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

The value of the diagonal by the Pythagorean theorem.

H²  =  B²  +  P²

H²  =  20²  +   20²

H²  =  400   +  400

H  =  √800

H  =  20√2

Therefore the value of the diagonal will be equal to 20√2.

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