The graph below represents the distance in miles (y)Jonathan travels on his bike in minutes (x). The table represents the distance in miles (y) Terrance travels on his bike in minutes (x) .

\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

Here's the solution ~

The given expression is :

\(\qquad \sf  \dashrightarrow \: \dfrac{x + 2y}{6} \)

Plug the required values :

Now, the expression will be ;

\(\qquad \sf  \dashrightarrow \: \dfrac{1 + (2 \times 2)}{6} \)

\(\qquad \sf  \dashrightarrow \: \dfrac{1 + 4}{6} \)

\(\qquad \sf  \dashrightarrow \: \dfrac{5}{6} \)

Answer:

\( \mathfrak = > \frac{x + 2y}{6} \)

\( \mathfrak = > \frac{1 + 2(2)}{6} \)

\( \mathfrak = > \frac{1 + 4}{6} \)

\( \mathfrak = > \frac{5}{6} \)

The estimated standard deviation of the population is approximately 0.133 (rounded to 3 decimal places).

To estimate the standard deviation of the population, we will use the formula of the standard deviation using the sample means, also known as the standard error. The formula gives the standard error (SE):

SE = (s / √n)

Where:

s is the standard deviation of the sample means

n is the sample size

In this case, we know, the mean of the sample ranges is 0.8, but we don't have the exact sample data. As a result, we are unable to calculate the standard deviation (s).

However, we can an assumption that the sample ranges are normally distributed, which gives us the idea to use the relationship between the range and the standard deviation. For normally distributed data, the range is approximately equal to 6 times the standard deviation. Mathematically, we can express this as:

Range ≈ 6s

Given that the mean of the sample ranges is 0.8, we have the following:

0.8 ≈ 6s

Now, let's solve for s:

s ≈ 0.8 / 6 ≈ 0.133

So, the estimate of the population's standard deviation is approximately 0.133 (rounded to 3 decimal places).

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The fraction computed shows that the number of his next 20 free-throw attempts that you expect Vijay to miss is 15.

From the information given, Vijay missed 12 out of his last 16 free throws. The fraction missed will be:

= 12/16

= 3/4

Therefore, the number of his next 20 free-throw attempts that you expect Vijay to miss will be:

= 3/4 × 20

= 15

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Answer:

Area = 13,898.5 ft^2

Step-by-step explanation:

Here, we are tasked with calculating the area of the circle given the value of the diameter.

Mathematically, the area of a circle is;

A = pi * d^2/4

Where d here is 133 feet

A = 22/7 * 133 * 133 * 1/4 = 13,898.5 ft^2

just add them up! and then u shall be good

Answer:

36 units

Step-by-step explanation:

5 + 13 + 5 + 13

10 + 13 + 13

10 + 26

36

The Fourier series coefficients can be calculated using the formula:

Ck = (1/T) * ∫[x(t) * exp(-jkω0t)] dt

To sketch the signal x(t), let's analyze it step by step.

i. Sketching the signal x(t):

The given input signal x(t) is defined as:

x(t) = 8(t - 1 - 3k) - 8(t - 2 - 3k), where k = -∞ to 0.

Let's consider different cases based on the values of t:

Case 1: When t < 1 - 3k:

In this case, both terms inside the brackets become negative, resulting in x(t) = 8(0) - 8(0) = 0.

Case 2: When 1 - 3k < t < 2 - 3k:

In this case, the first term inside the brackets becomes positive and the second term inside the brackets becomes negative. Therefore, x(t) = 8(t - 1 - 3k) + 8(0) = 8(t - 1 - 3k).

Case 3: When t > 2 - 3k:

In this case, both terms inside the brackets become positive, resulting in x(t) = 8(t - 1 - 3k) - 8(t - 2 - 3k) = 0

ii. Finding the Exponential Fourier series of x(t):

To find the Exponential Fourier series coefficients, we need to calculate the complex exponential Fourier series representation of the signal x(t).

The complex exponential Fourier series representation of a periodic signal x(t) with period T can be expressed as:

x(t) = ∑[Ck * exp(jkω0t)]

where Ck represents the Fourier series coefficients, j is the imaginary unit, k is an integer, and ω0 = 2π/T.

In this case, the signal x(t) is not periodic, but we can still find the Fourier series coefficients for a single period.

Given the input signal x(t), we can see that it consists of two rectangular pulses:

The first pulse starts at t = 1 - 3k and ends at t = 2 - 3k.

The second pulse starts at t = 2 - 3k and ends at t = 3 - 3k.

Therefore, for a single period, we can express x(t) as a sum of these two pulses:

x(t) = 8(t - 1 - 3k) - 8(t - 2 - 3k) = 8(t - 1 - 3k) for 1 - 3k < t < 2 - 3k

Now, we need to find the Fourier series coefficients Ck for this pulse.

The Fourier series coefficients can be calculated using the formula:

Ck = (1/T) * ∫[x(t) * exp(-jkω0t)] dt

Since we have a single period between t = 1 - 3k and t = 2 - 3k, we can take the period T = 1.

Now, let's calculate the Fourier series coefficients for the given signal:

Ck = (1/1) * ∫[8(t - 1 - 3k) * exp(-jk2πt)] dt

Ck = 8 * ∫[(t - 1 - 3k) * exp(-jk2πt)] dt

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The probability that they have an average weight of greater than 10 pounds and less than 15 pounds is 0.84134

In this question we have been given there are 250 dogs at a dog show who weigh an average of 15 pounds, with a standard deviation of 6 pounds. of 10 dogs are chosen at random.

We need to find the probability that they have an average weight of greater than 10 pounds and less than 15 pounds.

Given, μ = 12, σ = 8, n = 4

P(X > 8)

= P(z > (8 - 12 / 8/√4))

= P(z > -1)

= 1 - P(z ≤ -1)

= 1 - [1 - P(z ≤ 1)]

=  P(z ≤ 1)

= 0.84134

Therefore, the required probability is 0.84134

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Answer:oslo was colder it was -12 and copenhagen was -6

Nancy takes 75 steps when Grant takes 60 steps. Given that on a hike, Grant takes 12 steps for every 15 steps that Nancy takes.

To determine how many steps Nancy takes when Grant takes 60 steps.

Let's find how many steps Grant takes for every one step Nancy takes.(12 steps of Grant) ÷ (15 steps of Nancy) = 12/15 = 4/5

Let's find how many steps Nancy takes for every one step Grant takes.(15 steps of Nancy) ÷ (12 steps of Grant) = 15/12 = 5/4

Then, to determine how many steps Nancy takes when Grant takes 60 steps.

We can use the proportion: 60 steps of Grant × (5/4) = x steps of Nancyx = (60 × 5)/4x = 75. Hence, Nancy takes 75 steps when Grant takes 60 steps.

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The expressions are not equal and the explanation is wrong because the index forms have different exponential values.

The correct answer is  14^-1/3

Equivalent expressions are known as expressions that are the same solution but differ in the mode of their arrangement.

From the information given, we have the index forms;

(14^0/14^3)^1/3=14^-2/3

It is important to note that exponents with zero equals 1.

Then, we have that;

1/14^1/3 = 14 ^-2/3

Take the inverse of the exponent

14^-1/3 is not equal to 14^-2/3

Hence, the correct answer is 14^-1/3

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According to the information, the most suitable prism for cereals would be #1 because it has more comfortable dimensions for buyers who would need fewer materials.

To find the area of the prisms we must find the area of each of their faces as shown below:

option 1

5 * 4 = 20

20 * 2 = 40

6 * 5 = 30

30 * 2 = 60

6*4=24

24 * 2 = 48

60 + 40 + 48 = 148

option 2

option 3

On the other hand, if we want to find the volume of the boxes we must multiply all their sides as shown below:

According to the above, we can infer that the three packages have the same volume. However, the most appropriate for this product would be #1 because it has more comfortable dimensions for buyers because they need fewer materials and its value would be lower.

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Answer:

5

Step-by-step explanation:

divide 10 by 2

Answer:

There are 5 boys in the class

Answer:

  7

Step-by-step explanation:

We want to find the number 4-digit of positive integers n such that removing the thousands digit divides the number by 9.

__

Let the thousands digit be 'd'. Then we want to find the integer solutions to ...

  n -1000d = n/9

  n -n/9 = 1000d . . . . . . add 1000d -n/9

  8n = 9000d . . . . . . . . multiply by 9

  n = 1125d . . . . . . . . . divide by 8

The values of d that will give a suitable 4-digit value of n are 1 through 7.

When d=8, n is 9000. Removing the 9 gives 0, not 1000.

When d=9, n is 10125, not a 4-digit number.

There are 7 4-digit numbers such that removing the thousands digit gives 1/9 of the number.

Answer: Ash has eaten 2/7 of her 4 donuts, which is equal to 8/7 or approximately 1.143 donuts.

The correct answer is option c. There are no real-valued functions that have a domain of all real numbers and a range of all integers.

A function maps an input (or domain) to a unique output (or range). In order for a function to have a domain of all real numbers, it must take any real number as an input and provide a unique output. However, for a function to have a range of all integers, it must be the case that every output is an integer.

Since the real numbers are not countable and the integers are countable, there can be no function that maps every real number to a unique integer. In other words, there is no one-to-one correspondence between the real numbers and the integers, which means that it is not possible to find a function that maps every real number to an integer.

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Complete Question:

which function(s) has the following properties? there may be more than one answer, so select all that apply.

The sum between angles a° and c° gives 300°.

Here we want to find the sum of the two angles a° and c°.

First, we can see that a is a plane angle, then:

a° = 180°

We also can see that c° plus the angle at its left which is 60° should be a plane angle, then we can write:

60° + c° = 180°

c° = 180° - 60°

c° = 120°

Now we know the values of c°  and a°, then the sum will give:

a° + c° = 120° + 180° = 300°

That is the answer.

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An angle bisector is a line that is drawn between the angle, which divides the angle into two equal parts. For example, if we bisect an angle that is 70°, then it will be two angles of 35°

We can draw an angle bisector either by measuring the angle using a protractor or marking the half. But the commonly used method is by using a compass.

Step 1

Draw the angle with vertex a, b, and c

Step 2

Draw a circle with b as the Centre, that intersects with each side of the angle.

Step 3

Draw congruent circles or arcs, centered at each intersection point on the sides of the angle.

Step 4

Use a straight line to connect point b with the intersection of two overlapping circles or arcs.

The properties of angle bisectors are

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The height of the tall landmark is found to be 1054.12 feet approximately.  when the mai spots the landmark 80 feet away at an angle of 85.66 degrees.

We can use the cosine trigonometric ratio here to find the height of the landmark

The given data is:

1. Mai is 80 feet away from the landmark.

2. She is looking up at the landmark top at an angle of 85.66 degrees.

3. The height of the tall landmark = ?

We must utilize the trigonometric ratio and the cosine ratio of a right-angled triangle to determine the tower's height.

Triangle ABC is a right-angled triangle if the height of Mai is assumed to be insignificant in relation to the height of the landmark.

Using angle C's cosine,

tan(C) = AB/BC

tan(85.66) = h/80

h = 13.17 * 80

h = 1054.12 feet

Therefore, the height of the tall landmark is found to be 1054.12 feet approximately.

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A function is a relationship or expression involving one or more variables. It has a set of inputs and outputs. Each input has only one output. The function is the description of how the inputs relate to the output.

Let's verify whether the given function is continuous or not at x = 3.

If the function is continuous at x = 3, then it should be possible to evaluate f(3) without using limits.

f(3) = (32 - 9) / (3 - 3) = (0 / 0), which is undefined.

Therefore, f (x) is not continuous at x = 3.

Now, let's find the limit of f (x) as x approaches 3.

To do this, we will factorize the numerator and simplify the expression:

f(x) = (x^2 - 9) / (x - 3)f(x)

= [(x - 3)(x + 3)] / (x - 3)

Now, (x - 3) cancels out and we get:f(x) = x + 3

Therefore, lim f(x) as x approaches 3 is 3 + 3 = 6.

So, we can say that the given function f(x) = (x2 - 9) / (x - 3) is not continuous at x = 3, but the limit of f(x) as x approaches 3 exists and is equal to 6.

Therefore, the point of discontinuity of f (x) is x = 3.

The correct question is: The given function is continuous in its domain. if it is not continuous, determine all points of discontinuity (a) f (x)

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Answer:

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 3 → (1)

x + 6y = - 3 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the y- term

- 4x - 6y = - 6 → (3)

Add (2) and (3) term by term eliminating y

- 3x = - 9 ( divide both sides by - 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (2)

3 + 6y = - 3 ( subtract 3 from both sides )

6y = - 6 ( divide both sides by 6 )

y = - 1

Solution is (3, - 1 )

Answer:

5/9

Step-by-step explanation:

Solution

The gradient of the line ment when two segment given (X1, Y1) and (X2, Y1) is points

m =

\( \frac{y2 - y1}{x2 - x1 } \)

Here two points given, (-5,-2) and (4,3)

gradient (m):

\( \frac{3 - ( - 2)}{4 - ( - 5)} \)

Answer:

240

Step-by-step explanation:

50% is the same as 50/100.

50/100=0.5

Then, multiply 0.5 by 480 (the same as dividing it by 2)

480*0.5= 240

The product of the rational expression shown above include the following: B. x² - 36/(x² - 9).

In Mathematics, a rational expression simply refers to a type of expression  which is expressed as a fraction. This ultimately implies that, a rational expression is composed of two (2) main parts and these include the following:

In this exercise, we would determine the product of the numerator for this rational expression and the product of the denominator for this rational expression as follows;

Product of numerator = (x + 6)(x - 6)

Product of numerator = x² + 6x - 6x - 36

Product of numerator = x² - 36

For the denominator, we have the following:

Product of denominator = (x + 3) × (x - 3)

Product of denominator = x² - 3x + 3x - 9

Product of denominator = x² - 9

Therefor, the product of the rational expression is given by x² - 36/(x² - 9).

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In the diagram given

When you take a look at the first image, you will see that

Throughot the graph, the distance increases as the time increases, and we can see a rapid in the distance

So the first graph matches with table B

As for the second graph, when you take a look at it

you will see that the distance increases with time initially, but after a while the distance decreases with time

so table A best descibe the second graph

Hence the second graph matches with table A

Finally, the third graph, taking a closer look at the third graph, you will see that the distance also increases with time, but not a rapid increase

so the table C best discribe the third graph

Hence the third graph matches table C

Answer:

Part 1:

From 1:20 to 1:55 is a total of 35 minutes. Since the minute hand completes one full rotation in 60 minutes, it moves halfway around the clock during this time. Therefore, the minute hand moves pi (or 180 degrees) radians.

Answer: pi (or 180 degrees)Part 2:

Since the minute hand has a length of 6 inches, we can use the formula for the circumference of a circle to find how far the tip of the minute hand travels during this time.

C = 2pir

C = 2pi6

C = 12pi

So the tip of the minute hand travels a total distance of 12pi inches during the 35 minutes from 1:20 to 1:55.

Answer: 12*pi inches

Answer:

1.52,1.77,2.02,2.27,2.52+2.77

Step-by-step explanation:

The pattern is that it increases by 0.25

Hope this helps

Have a nice day! :D

Mark brainliest if possible

The 95% confidence interval for the mean weekly salaries of shift managers at Guiseppe's Pizza and Pasta is (325.80, 472.30).

This means that we are 95% confident that the true population mean weekly salary of shift managers falls within this interval. In other words, if we were to repeat the sampling process multiple times and calculate a confidence interval each time, approximately 95% of those intervals would contain the true population mean.

The lower bound of the confidence interval is 325.80, which represents the estimated minimum value for the mean weekly salary. The upper bound of the interval is 472.30, which represents the estimated maximum value for the mean weekly salary.

Based on this interval, we can say that with 95% confidence, the mean weekly salary of shift managers at Guiseppe's Pizza and Pasta is expected to fall between $325.80 and $472.30. This provides a range of possible values for the population The 95% confidence interval for the mean weekly salaries of shift managers at Guiseppe's Pizza and Pasta is (325.80, 472.30).

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Answer:

Yes true i tried it out

Answer:

A{6,12}

Step-by-step explanation:

Maybe I'm not sure about that.