Given the function g(x) = |x - 4|, find the value of g(1).

Answer:

5.3 photos

4.7 photos

Reasoning: Khan academy

The width of the dog run is 20 feet.

In the given problem, the length of the dog run is given as 30 feet.

The area of the dog run is also given as 240 square feet.

Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).

Rearranging the formula, we have w = A / l.

Plugging in the values, we get w = 240 / 30 = 8 feet.

Since the width is given as (30 minus x) feet, we can set up an equation:

30 - x = 8. Solving for x, we find x = 22.

Therefore, the width of the dog run is 20 feet (30 - 22 = 8).

In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.

The area of the dog run is given as 240 square feet.

By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.

Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.

This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).

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Answer:

mean = 157

standard deviation = 0.77

From the given, we know that:

Now, since we are to select 15 bottles as samples, we now have n=15. We would then need to solve for standard deviation with the following formula:

Substitute the standard deviation and n:

The mean would stay the same, therefore:

mean = 157

standard deviation = 0.77

Answer:

Hexagon

Step-by-step explanation: Count the sides, hex means 6, sept means 7, oct means 8

Based on the result shown in the table below, a statement which is true include the following: A. exactly 1/5 of the students chose pizza as their favorite food.

In Mathematics, a fraction simply refers to a numerical quantity which is not expressed as a whole number. In order to determine the true statement, we would evaluate them as follows;

"Exactly 1/5 of the students chose pizza as their favorite food."

Total number of students that chose pizza = 6 + 4

Total number of students that chose pizza = 10 students.

Total number of students = 26 + 24

Total number of students = 50 students.

Therefore, the fraction of students that chose pizza as their favorite food is given by:

Fraction = 10/50

Fraction = 1/5.

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Complete Question:

Two classes were asked what was their favorite food at a local restaurant. The results are shown in the table below.

Which statement is true?

Exactly 1/5 of the students chose pizza as their favorite food.

Less than 25% of students chose tacos as their favorite food.

More students prefer French fries than prefer tacos.

Exactly 1/2 of students prefer either pizza or hamburgers.

The values nearest to these middle elements are 60 and 63 inches.

The dataset is given as:

62 33 50 90 80 50 40 70 50 63 74 53 55 64 60 60 78 70 43 82

Then, we sort the information elements in ascending request

33 40 43 50 50 50 53 55 60 60 62 63 64 70 70 74 78 80 82 90

The length of the dataset is 20.

Thus, the elements at the middle are the tenth and the 11 elements.

From the arranged dataset, these elements are: 60 and 62

Thus, the values nearest to this median are 60 and 63

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In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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Answer:

b

Step-by-step explanation:

trust me

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

..........

Step-by-step explanation:

.....????......Ummmmm

The percentile of 6.2 in the given data set is 40%.

To determine the percentile of 6.2 in the given data set, we can use the following steps:

Arrange the data set in ascending order:

4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2

Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.

Calculate the percentile using the formula:

Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100

In this case, the percentile of 6.2 can be calculated as:

Percentile = (4 / 10) × 100 = 40%

The percentile of 6.2 in the sample data set is therefore 40%.

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Answer: If I did it correctly it should be 150.8

Step-by-step explanation:

The formula for the volume of a cylinder is height x π x (diameter / 2)2, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is height x π x radius2.

Hope this helps!

Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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The wallet is about 12.8 feets away from the base of the platform.

using trigonometric function , the angle of depression can be obtained using the tangent relationship.

The tangent can be mathematically related using the ratio of the opposite and adjacent side.

Tan(A) = opposite/Adjacent

tan(32°) = 8/x

Solving for x, we get:

x = 8/tan(32°)

x = 12.8 feet

Hence , the wallet is about 12.8 feet away from the base of the platform.

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Answer:

The answer is positive 5, or 5

The value of x in the triangle is determined as 45.

The value of x in the triangle is calculated by applying the following formula,.

The measure of angle ABD = 0.2x + 52

The measure of angle CBD = 0.2x + 42

From the diagram, we can set-up the following equations;

x + 16 = 0.2x + 52

Simplify the equation above, by collecting similar terms;

x - 0.2x = 52 - 16

0.8x = 36

Divide both sides of the equation by " 0.8 "

0.8x / 0.8 = 36/0.8

x = 45

Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.

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Answer:

False

Step-by-step explanation:

1 + 2 (-4) = -7

1 - 8 = -7

-7 = -7

-4 (-4) = -1

16 = -1

The two main purposes of all businesses are earning revenue and maximizing profits, the correct option is B and E.

We are given that;

The four options

Now,

Earning revenue means generating income from selling goods or services to customers. Revenue is the lifeblood of a business, as it covers the costs of production, operation, and growth. Without revenue, a business cannot survive or fulfill its other purposes.

Maximizing profits means increasing the difference between revenue and costs. Profits are the reward for creating value for customers and stakeholders. Profits can be reinvested in the business to improve quality, efficiency, innovation, and competitiveness. Profits can also be distributed to shareholders, employees, or society as dividends, wages, or donations.

Therefore, by unitary method the answer will be earning revenue and maximizing profits.

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Answer:

No.

Step-by-step explanation:

7=8-(-3)

7=8+3

7≠11

Answer:

b < 8

Step-by-step explanation:

Given inequality:

\(\dfrac{3}{2}b+5 < 17\)

Subtract 5 from both sides:

\(\implies \dfrac{3}{2}b+5-5 < 17-5\)

\(\implies \dfrac{3}{2}b < 12\)

Multiply both sides by 2:

\(\implies 2 \cdot \dfrac{3}{2}b < 2 \cdot 12\)

\(\implies3b < 24\)

Divide both sides by 3:

\(\implies \dfrac{3b}{3} < \dfrac{24}{3}\)

\(\implies b < 8\)

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

As the sample size is large enough, i.e. n = 198 > 30 the central limit theorem can be applied to describe the sampling distribution for the sample proportion of children who are​ nearsighted.

Step-by-step explanation:

Let the random variable p denote the proportion of children affected by nearsightedness.

The previously known proportion was, p = 0.12.

A random sample of n = 198 children are selected.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

\(\mu_{\hat p}=p\)

The standard deviation of this sampling distribution of sample proportion is:

\(\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}\)

As the sample size is large enough, i.e. n = 198 > 30 the central limit theorem can be applied to describe the sampling distribution for the sample proportion of children who are​ nearsighted.

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Work Shown:

F = (9/5)*C + 32

F = (9/5)*27 + 32

F = 80.6

F = 81

Side note: 9/5 = 1.8

Answer:

81 degrees Fahrenheit.

Step-by-step explanation:

Using the standard Fahrenheit-Celsius conversion formula.

27 * 9/5 = 48.6.

48.6 + 32 = 80.6.

Rounded to 81.

Therefore 81 degrees Fahrenheit.

The 90% confidence interval of the true mean at noise level in hospital ward areas falls between 53.8 and 55.01 decibels.

A confidence interval (CI) in frequentist statistics is a range of estimates for an unknown parameter. A confidence interval is calculated at a specified confidence level; the 95% confidence level is the most common, but other levels, such as 90% or 99%, are occasionally used.  For example, 95% of all intervals computed at the 95% level should contain the parameter's true value.

The sample size (n) is ≥ 30,

So, we will assume the data to be normally distributed.

Given, n = 163

Standard deviation σ= 4.8

Mean \(\bar{x}\) =54.4 decibels

Here, we need to calculate the error E

E = zσ/√n

Where z is the critical value determined by the z table with a level of confidence of 90%.

Using the z table, z (0.90) = 1.645

E = (1.645×4.8)/√163

E = 0.6185

The true mean is found in the interval \(\bar{x}\)- E<μ< \(\bar{x}\) + E

54.4-0.6185 <μ<54.4+0.6185 at 90% confidence level

53.7815<μ<55.0185

(OR)

53.8<μ<55.01

As a result, there is a 90% possibility that the genuine mean (population) noise level in hospital ward areas falls between 53.8 and 55.01 decibels.

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\(\huge\boxed{Answer\hookleftarrow}\)

334

\(\huge\boxed{Explanation\hookleftarrow}\)

10 × 4 × 7 = 280

3 × 3 × 6 = 54

280 + 54 = 334

\(\huge\boxed{Mark -Brainliest\hookleftarrow}\)