fractional mathematics ​

Answer:

3L is from 3×7, while L-1 is gotten from 7-1

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

miles per hour so 208, which is miles and 4 which is hours so 208/4 which is 52

Answer:

Hi there,

52 miles/hr

Step-by-step explanation:

we just divide 208 by 4

Answer:

They would need 24 pints of chocolate to make 6 boxes of candy

Step-by-step explanation:

the answer is -1. I have a picture, take a lot at it

Answer: 3x+3

Step-by-step explanation:

4x+3-x

= (4x-x) + 3

= 3x+3

Answer:

60%

Step-by-step explanation:

Answer:

24

**Solving Steps**

2 x (2 x X - 6) = 84

4x-12=84

84+12=96

96/4 = 24

Hope it helps.

The domain choice that is a possibility is A. A. Real numbers greater than 0.

A continuous function in mathematics is one in which a continuous variation of the argument causes a continuous variation of the function's value. This means that there are no abrupt changes in value, which are referred to as discontinuities.

Option A: Real numbers greater than zero:

Because real numbers are continuous functions, the greater than zero part of them can be used to represent the balance sheet.

Option B: Use only whole numbers: It is not possible.

Whole numbers are discrete, not continuous, and thus cannot represent decimal points.

Option C: Integers: Invalid

Because integers are discrete rather than continuous, they cannot represent decimal points.

Natural numbers are not an option.

Natural numbers, like whole numbers, are discrete rather than continuous and cannot represent decimal points.

In conclusion, the correct option is A.

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Step-by-step explanation:Step-by-step explanation:

For Sienna to be able to take the square root of both sides while solving a quadratic equation, she must have an expression with square on at least, the side that contains the variable she is trying to determine. Equation of the form:

(x + a) ² = b

'a' and 'b' could be any number, -1, 0, 1/3, -5/6, anything really.

So, she can take square roots of both sides then, like this

√(x + a)² = √b

x + a = ±√b

x = -a ± √b

Square roots always cancel out squares, and the '±' is because a square is satisfies by both + and -, 3² = 9, and (-3)² = 9.

It is the nature of the problem being solved that determines if we take just one or both of these answers.

Answer:x=4

Step-by-step explanation:

3x+4 =9x-20

4=9x-3x-20

4=6x-20

24=6x

x=4

Answer:

Step-by-step explanation:

you gotta multiply the mins which is 40 by 60 which is 2, 400 meters per hour

approximately 27.46 plots of 5-po acre can be planted yet.

Given, Mr. Smith has 22% of his 176 total acres of corn planted.Hence, the area planted = 22% of 176 acres= 22/100 × 176= 38.72 acresLet the area of corn yet to be planted = x acresNow, the total area of corn = 176 acresThe total area of corn can be expressed as:Total area = Planted area + Area yet to be plantedHence,176 = 38.72 + xWe need to solve for the value of x.Hence, we can getx = 176 − 38.72= 137.28 acresWe need to find the number of 5-po acre plots that can be planted. Hence,Number of 5-po acre plots = (Area yet to be planted) / (Area of 5-po acre plot)= x / 5Therefore,Number of 5-po acre plots = 137.28 / 5= 27.456.

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There are approximately 27.46 (rounded to 2 decimal places) 5 acres of corn yet to be planted.

Given that Mr. Smith has 22 percent of his 176 total acres of corn planted.

We are to determine how many 5 acres of corn are yet to be planted.

Mathematically, the percent of something is equivalent to the ratio of that amount to the total amount.

Using this concept, we can solve for the total acres of corn planted by Mr. Smith.

22% of 176

= (22/100) × 176

= 38.72 acres

Now we can find the number of acres yet to be planted.

Number of acres yet to be planted

= Total acres - Acres planted

= 176 - 38.72= 137.28 acres

Since we need to determine the number of 5 acres of corn yet to be planted, we will divide the number of acres yet to be planted by 5 acres.

(137.28 acres/5 acres)

≈ 27.46 (approximated to 2 decimal places)

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Answer: The given function is:

N = 81s / (20 + 20(s/24)^2)

where:

N = number of cars that can pass a given spot per minute

s = speed of the cars in miles per hour (mph)

To find the maximum number of cars that can safely travel on the road at a given speed, we need to find the value of s that maximizes the function N.

Taking the derivative of N with respect to s:

dN/ds = (81 / (20 + 20(s/24)^2)) * (20/24 - (2s/24^2) * (s/24))

Setting dN/ds to zero to find the critical point:

0 = (81 / (20 + 20(s/24)^2)) * (20/24 - (2s/24^2) * (s/24))

Simplifying and solving for s:

20/24 = (2s/24^2) * (s/24)

20 * 24 = 2s * s

s^2 = (20 * 24) / 2

s^2 = 240

s = sqrt(240)

s ≈ 15.4919 mph

Therefore, the maximum number of cars that can safely travel on the road at a speed of 15.4919 mph is:

N = 81s / (20 + 20(s/24)^2) = 81(15.4919) / (20 + 20((15.4919)/24)^2) ≈ 180.19 cars per minute.

Step-by-step explanation:

The easiest way to solve a system of equations is by using the substitution method.

The substitution method requires you to solve for one variable in one of the equations, substitute the answer into the other equation, and then solve for the remaining variable.

The easiest way to solve a system of equations is to use the substitution method. This method works by substituting one equation into the other to solve for one of the variables. Once the variable is found, it is then substituted back into the other equation to solve for the other variable. For example, if you have two equations: 3x + 2y = 5 and 4x - 2y = 6, you would solve the first equation for y and substitute the answer (y = (5 - 3x)/2) into the second equation. Then, you would solve the second equation for x (x = (6 + 2y)/4). Once you have the values for x and y, you can substitute them into either equation to check your answer.

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Answer: Hence, there are 6 phones and 18 accessories sold.

Since we have given that

Let number of phones sold be 'x'

Let number of accessories sold be 'y'.

Commission for every phone = $12

Commission for every accessory = $3.50

Total commission = $135

And Difference between accessories and phones sold = 12

According to question, we get that

Using both the equations, we get that

x=6 and y = 18

The probablity that the sample's mean length is greate than 6.3 inches is0.8446.

Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event. It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

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The observation is located to the left of the mean by a distance of 1.2 standard deviations.

The z-score of an observation represents the number of standard deviations the observation is away from the mean.

If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.

If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:

observation = μ + (z * σ)

observation = μ + (-1.2 * σ)

This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.

For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.

In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.

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The similarity ratio of similar figures is a numerical expression that represents the proportional relationship between corresponding sides or dimensions of the figures.

It indicates how the dimensions of one figure compare to the dimensions of the other. The ratio is expressed as a fraction or a ratio of two numbers, with the larger number being the numerator and the smaller number being the denominator. This ratio remains constant for all corresponding sides or dimensions of the similar figures.

When two figures are similar, it means that they have the same shape but may differ in size. The similarity ratio helps us understand the relationship between their corresponding sides or dimensions. For example, if the ratio is 2:1, it means that the larger figure has dimensions that are twice as long as the corresponding dimensions of the smaller figure. The similarity ratio is determined by comparing the lengths, areas, or volumes of corresponding sides, depending on the type of figures involved. It provides a quantitative measure of how the figures are scaled or resized in relation to each other.

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Answer:

The 95% confidence interval \(0.57 < p <0.63\)

The 90% confidence interval  \(0.5748 < p <0.6252\)

The 90% confidence interval has the smaller margin of error.

This makes sense because the 90% confidence interval is narrower and more precise(i.e a decreased error band  ) than the 95% confidence interval

95% confidence interval is more likely to contain the true percentage

This is because 95% confidence interval signify's a higher confidence  of containing the true percentage than the 90% confidence interval  

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  1019

    The  sample proportion is  \(\r p = 0.60\)

Given from the question that the confidence level is 95% then the level of significance is mathematically represented as

         \(\alpha = (100 - 95)\%\)

        \(\alpha = 0.05\)

Generally the critical value of  \(\frac{\alpha }{2}\) obtained from the normal distribution table is  

    \(Z_{\frac{\alpha }{2} } = 1.96\)

Generally the margin of error is mathematically represented as

         \(E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1 - \r p )}{n} }\)

=>     \(E = 1.96 * \sqrt{\frac{0.60 (1 - 0.60 )}{1019} }\)

=>    \(E = 0.030\)

Generally the 95% confidence interval is mathematically represented as

         \(\r p - E < p < \r p +E\)

        \(0.60 - 0.030 < p <0.60 + 0.030\)

        \(0.57 < p <0.63\)

This interval means that there is 95% chance that the true percentage will be in this interval

Given from the question that the confidence level is 90% then the level of significance is mathematically represented as

         \(\alpha = (100 - 90)\%\)

        \(\alpha = 0.10\)

Generally the critical value of  \(\frac{\alpha }{2}\) obtained from the normal distribution table is  

    \(Z_{\frac{\alpha }{2} } = 1.645\)

Generally the margin of error is mathematically represented as

         \(E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1 - \r p )}{n} }\)

=>     \(E = 1.645 * \sqrt{\frac{0.60 (1 - 0.60 )}{1019} }\)

=>    \(E = 0.0252\)

Generally the 90% confidence interval is mathematically represented as

         \(\r p - E < p < \r p +E\)

        \(0.60 - 0.0252 < p <0.60 + 0.0252\)

        \(0.5748 < p <0.6252\)

This interval means that there is 90% chance that the true percentage will be in this interval

From the calculation the 90% confidence interval has the smaller margin of error.

This makes sense because the 90% confidence interval is narrower and more precise(i.e a decreased error band  ) than the 95% confidence interval

Generally the confidence interval that is more likely to contain the true percentage  of all American adults who have used the Internet to obtain medical information in the past month is the 95% confidence interval ,

This is because it signify's a higher chance of containing the true percentage than the 90% confidence  

Answer:

b

Step-by-step explanation:

a

it is A because a variation equation needs numbers and variables

The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

From the question, we have the following parameters that can be used in our computation:

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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A=1,500(1+.085/18)^(18)

1500(1 + 0.085/18)^18

2552779712830526464/1563485784343741

1632.748912

A = 1632.748912

\(a=1,500(1+.085\div18)^{18}\)

\(1,500(1+.085\div18)^{18}=1632.74891169\)

\(\fbox{a = 1632.74891169}{\)

Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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The command in Stata would be the most useful is reg when  you want to combine this with a dataset that reports how much each individual sleeps per week.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.

For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.

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Answer:

a) 20

b) 15

Step-by-step explanation:

For question a, find the greatest and smallest number in value from the numbers given. The greatest is 32 and smallest is 12. 32-12=20

For b, order the numbers from least to greatest: 12,13,13,15,16,19,32

To find the median, find the number in the middle of the list, which is 15

hope this helped :)

Answer:

Range = 20

Median = 15

Step-by-step explanation:

Range = 32 - 12 = 20

In order to find the median of the given data let us arrange them in ascending order.

12, 13, 13, 15, 16, 19, 32

Here, number of observations n = 7

\(median = \bigg(\frac{n + 1}{2}\bigg) ^{th} term\\ = \bigg(\frac{7 + 1}{2}\bigg) ^{th} term \\ = \bigg(\frac{8}{2}\bigg) ^{th} term \\ = 4th \: term \\median = 15\)

Answer:

a) t = 4000/v

b) t = 4000/(v + 20)

c) see attached workings

Step-by-step explanation:

a)  A man jogs 4 km everyday at an average speed of v m/min

As the speed is measured in meters per minute, we need to convert the distance (4 km) into meters:

    1 km = 1000 m

⇒ 4 km = 4 x 1000 = 4000 m

   distance = speed x time

⇒ time = distance / speed

⇒ t = 4000/v  (where t = time in minutes)

b) If his average speed increased by 20 m/min, then his speed would now be  (v + 20) m/min

⇒ t = 4000/(v + 20)  (where t = time in minutes)

c) Given the man would take 3 min less if his average speed increased by 20 m/min, we can rewrite the second equation as:

t - 3 = 4000/(v + 20)

Now simply substitute the first equation t = 4000/v into the second:

(I have typed this used MS Word and attached, as the equation editor here in Brainly is not working at the moment).