There are 406 students at Destiny's sa.surveys 20 randomly chosen students from her schoolabout how they get to school.Based on the data from the sample, about how manystudents in the school should Destiny expect to takethe subway?at is the problemut?Transportation MethodSubwayWalk84Bus4Bike2Car2

Answer:

40.50 is correct answer according to me

Answer:

(3×1)+(4/10) & two and fifty-one hundredths

Step-by-step explanation:

In order to write a decimal in expanded form you need to create a equation that equals the decimal you are trying to expand, and for writing decimal in word form you need to remember the names of place values.

1. 3.4

\(3.4=(3\times`1)+(\frac{4}{10} )\)

2.2.51

two and fifty-one hundredths

Hope this helps.

We cannot conclude that there are more than 70,000 defined words in the dictionary.

To test the claim that there are more than 70,000 defined words in the dictionary, we can set up the null and alternative hypotheses as follows:

Null Hypothesis (H0): The mean number of defined words on a page is 48.0 or less.

Alternative Hypothesis (H1): The mean number of defined words on a page is greater than 48.0.

So, sample mean

= (59 + 37 + 56 + 67 + 43 + 49 + 46 + 37 + 41 + 85) / 10

= 510 / 10

= 51.0

and, the sample standard deviation (s)

= √[((59 - 51)² + (37 - 51)² + ... + (85 - 51)²) / (10 - 1)]

≈ 16.23

Next, we calculate the test statistic using the formula:

test statistic = (x - μ) / (s / √n)

In this case, μ = 48.0, s ≈ 16.23, and n = 10.

test statistic = (51.0 - 48.0) / (16.23 / √10) ≈ 1.34

With a significance level of 0.05 and 9 degrees of freedom (n - 1 = 10 - 1 = 9), the critical value is 1.833.

Since the test statistic (1.34) is not greater than the critical value (1.833), we do not have enough evidence to reject the null hypothesis.

Therefore, based on the given data, we cannot conclude that there are more than 70,000 defined words in the dictionary.

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θ(t - 5) = 1 if t ≥ 5 and 0 otherwise, so the Laplace transform of the second derivative term is

\(\displaystyle \int_0^\infty q''(t) \theta(t-5) e^{-st} \, dt = \int_5^\infty q''(t) e^{-st} \, dt \\\\\\ = \int_0^\infty q''(t) e^{-st} \, dt - \int_0^5 q''(t) e^{-st} \, dt \\\\\\ = L_s\left\{q''(t)\right\} - \int_0^5 q''(t) e^{-st} \, dt\)

Compute the remaining integral by parts.

\(u = e^{-st} \implies du = -se^{-st} \, dt \\ dv = q''(t) \, dt \implies v = q'(t)\)

\(\implies \displaystyle \int_0^5 q''(t) e^{-st} \, dt = q'(t) e^{-st} \bigg|_0^5 + s \int_0^5 q'(t) e^{-st} \, dt = \dfrac{q'(5)}{e^{5s}} - q'(0) + s \int_0^5 q'(t) e^{-st} \, dt\)

Integrating by parts again with similar choice of u and dv gives

\(\displaystyle \int_0^5 q'(t) e^{-st} \, dt = \dfrac{q(5)}{e^{5s}} - q(0) + s \int_0^5 q(t) e^{-st} \, dt\)

Recall that

\(\displaystyle \int_0^\infty q''(t) e^{-st} \, dt = s^2 Q(s) - sq(0) - q'(0)\)

\(\displaystyle \int_0^\infty q'(t) e^{-st} \, dt = s Q(s) - q(0)\)

where Q(s) is the Laplace transform of q(t).

It follows that

\(L_s\left\{q''(t) \theta(t-5)\right\} = (s^2 Q(s) - s q(0) - q'(0)) - \left[\dfrac{q'(5)}{e^{5s}} - q'(0) + s \left(\dfrac{q(5)}{e^{5s}} - q(0) + s \int_0^5 q(t) e^{-st} \, dt\right) \right]\)

or

\(L_s\left\{q''(t) \theta(t-5)\right\} = s^2 Q(s) - \dfrac{sq(5)+q'(5)}{e^{5s}} - s^2 \int_0^5 q(t) e^{-st} \, dt\)

Similarly, you can show that

\(L_s\left\{q'(t) \theta(t-5)\right\} = sQ(s) - \dfrac{q(5)}{e^{5s}} - s\int_0^5 q(t) e^{-st} \, dt\)

and

\(L_s\left\{q(t) \theta(t-5)\right\} = Q(s) - \int_0^5 q(t) e^{-st} \, dt\)

There's not much more one can say without knowing anything more about q(t) …

The value of \(x_5\), rounded to the nearest decimal place using Newton's method of approximation is 1.466.

The correct answer is option B.

To find the value of \(x_5\)using Newton's method of approximation, we need to iterate the following formula:

\(x_(_n_+_1_) = x_n - f(x_n) / f'(x_n)\)

where f'(x) represents the derivative of the function f(x). Let's calculate the values step by step.

Given function: f(x) = \(x^3 - x^2 - 1\)

Step 1: Find the derivative of f(x)

f'(x) = \(3x^2 - 2x\)

Step 2: Initialize the starting value

\(x_0\)= 1

Step 3: Calculate \(x_1\)

\(f(x_0) = f(1) = (1^3) - (1^2) - 1 = 1 - 1 - 1 = -1\)

\(f'(x_0) = f'(1) = (3(1^2)) - (2(1)) = 3 - 2 = 1\)

\(x_1 = x_0 - f(x_0) / f'(x_0)\)

   = 1 - (-1) / 1

   = 2

Step 4: Calculate \(x_2\)

\(f(x_1) = f(2) = (2^3) - (2^2) - 1 = 8 - 4 - 1 = 3\)

\(f'(x_1) = f'(2) = (3(2^2)) - (2(2)) = 12 - 4 = 8\)

\(x_2 = x_1 - f(x_1) / f'(x_1)\)

   = 2 - 3 / 8

   = 1.625

Step 5: Repeat the process until we reach \(x_5\)

Performing the calculations for \(x_3, x_4, andx_5\), we find:

\(x_3\) ≈ 1.465

\(x_4\) ≈ 1.466

\(x_5\)≈ 1.466

After applying Newton's method of approximation to the function f(x) = \(x^3 - x^2 - 1,\)starting with,\(x_0 = 1,\) we iteratively calculated the values of \(x_1, x_2, x_3, x_4, and x_5\). The final approximation, \(x_5\), is approximately 1.466 when rounded to the nearest decimal place. This aligns with option B as the correct answer.

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Step-by-step explanation:

Hey there!

The given points are; (2,2) and (5,y).

Slope (m) =2

Using formula for slope, we get;

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

Put all values.

\(2 = \frac{y - 2}{5 - 2} \)

Simplify it to get value of"y".

\(2 = \frac{y - 2}{3} \)

\(6 = y - 2\)

\(y = 6 + 2\)

Therefore, y= 8.

Hope it helps...

Answer:

\( \boxed{ \tt{0}}\)

Step-by-step explanation:

\(if \: mº - {n}^{2} \: for \: m = 2 \: and \: n = -1. \\ {2}^{0} - ( { - 1)}^{2} = 1 - (1) = 0\)

6 people stuff flyers into 500 envelopes in 5 minutes. They all work at the same rate.

From the question you can ascertain that if the number of people stuffing the Flyers into the envelopes increases the number of minutes they can stuff this Flyers in the envelopes decreases. Therefore the relationship between the number of people stuffing the envelopes and the number of minutes it takes to stuff the flyers in the envelope is an Inverse relationship. In other words the number of people stuffing the envelopes is inversely proportional to the number of minutes required to stuff the flyers into 500 envelopes . Mathematically,

Looking at the relationship 6 people takes 5 minutes . If the number of people decreases the number of minutes will increase. Therefore, 3 people which is half the number will take double the time which is 10 minutes . 1 person will take 6 times the time which is 30 minutes. Similarly, 2 people will take 3 times the time which is 15 minutes.

Answer:

  -1

Step-by-step explanation:

The only point on the graph with a y-value of 3 is the point (-1, 3).

That is g(-1) = 3, or x=-1 for g(x) = 3.

Answer:

x=-1

Step-by-step explanation:

g(x)=y = 3

as you can see on the graph, (-1,3)➡ -1 value of x is g(x)=3 ➡g(-1)=3

hope this helps ^-^

Answer:

x = 36

Step-by-step explanation:

Multiply the numbers

50 = x -1 (-14)

50 = x + 14

Subtract 14 from both sides of the equation

50 = x + 14

50 - 14 = x + 14 - 14

Simplify

x = 36

[RevyBreeze]

Answer:

25 pound bag is the better deal

Step-by-step explanation:

Answer:

  (x, y) = (0, 3)

Step-by-step explanation:

You want the solution to the system of equations ...

Since we are given an expression for y, it is convenient to use that to substitute for y in the first equation:

  x + (-3(2x -1)) = 3

  x + (-6x +3) = 3 . . . . . simplify

  -5x +3 = 3 . . . . . . . . combine like terms

  -5x = 0 . . . . . . . . . subtract 3

  x = 0 . . . . . . . . . divide by -5

  0 +y = 3 . . . . . substitute for x to find y

  y = 3

The solution to these equations is (x, y) = (0, 3).

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Answer:

40 photos

Step-by-step explanation:

\(\frac{3}{10} =\frac{12}{y}\)

3 × y = 12 × 10

3y = 120

y = 40

Answer:

5(1+s) = -9s +6

Step-by-step explanation:

The number of times of Puerto Rico is 5/6

No earthquake released 10³ of Colombia

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

The table of values

On the table of values, we have

Colombia = 6.0M

Puerto Rico = 5.0M

This means that

Number of times = Puerto Rico/Colombia

Substitute the known values in the above equation, so, we have the following representation

Number of times = 5/6

Here, we have

Colombia = 6.0M

So, we have

Earthquake = Colombia * 10³

This gives

Earthquake = 6 * 10³

From the table of values, we have no entries with the readings 6 * 10³

Hence, no earthquake released 10³ of Colombia

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A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

How to determine the amount of carpet needed for a rectangular room?

To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.

The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),

18 feet ÷ 3 feet/yard = 6 yards

So the dimensions of the room in yards are 10 yards by 6 yards.

To find the total area of the room, we need to multiply the length and width,

10 yards × 6 yards = 60 square yards

Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

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The true option about the system of linear equation is that the system can only be independent and consistent.

It should be noted that the system is consistent as it can illustrate more than a solution.

Also, it can't be independent and dependent at the same time as depicted in some of the option given.

In this case, true option about the system is that the system can only be independent and consistent.

The complete question is:

Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?

The system can be either inconsistent or consistent.

The system can be either independent or dependent.

The system can only be independent and consistent.

The system can only be dependent and inconsistent.

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Answer: a) Both a(x) and b(x) have a maximum or minimum value at x = 2.

Step-by-step explanation:

The number of rolls of paper used per wall will be 1.5 rolls per wall.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Andy is hanging wallpaper in his kitchen. He is to cover 2 2/5 of the walls in the room using 6 rolls of paper. We know that the room has 4 walls.

Then the number of rolls of paper used per wall is given as,

⇒ 6 / 4

⇒ 1.5 rolls per wall

The number of rolls of paper used per wall will be 1.5 rolls per wall.

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Answer:

10°C

Step-by-step explanation:

F = 50

C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10

Answer:

its the last box and whisker plot

Step-by-step explanation:

4.2 x 10^8 is  2*10^6  times the value of 2.1 x 10^2 when division is performed.

The concept that will be used to solve the question is division operation.

We were given 4.2 x 10^8 which is greater than  2.1 x 10^2

The operation can be expressed as :

4.2 x 10^8 =( n *2.1 x 10^2)

where n = the number of times that 4.2 x 10^8  is greater than 2.1 x 10^2

Then make n the subject of the formular which is

n = 4.2 x 10^8/2.1 x 10^2

n = 2*10^6

Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.

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Answer:

51

Step-by-step explanation:

To find the slope of the curve, first differentiate the equation of the curve and substitute the value of x in the result

The slope of the curve is the change in y coordinates with respect to the change in x coordinates of the line

To find the slope of the curve at a given point

First differentiate the given equation of the curve with respect to x

That is dy / dx.

The derivative of the equation of the curve  is the slope of the curve.

In next step substitute the value of x in the slope of the curve

The result will be the slope of the curve at a given point

Therefore, these are the steps to find the slope of the curve

I have answered the question in general, as the given question is incomplete

The complete question is:

How to find the slope of a curve at a given point?

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In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.

The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.

To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:

Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

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Answer:

It intersects the y-axis at point (0, 2).

Step-by-step explanation:

x + 3y = 6

3y = -x + 6

y = -1/3x + 2

Answer:

4. (6,0)

Step-by-step explanation:

Plug the points into the equation.

6+3(0)=6

6+0=6

6=6

Answer:

4(8-5)

32 -20

12

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.

By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.  

Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.  

Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.

Therefore,

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

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Answer:

The answer is B

Step-by-step explanation:

The Distributive Property be used to find 7 x 391; 7 x 391 = (7 x 300) + (7x 90) + (7 x 1). Therefore, option D is the correct answer.

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a x  b + a x c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

Also This property is known by distributive law and applies to subtraction also.

The Distributive Property be used to find 7 x 391;

7 x 391 = (7 x 300) + (7x 90) + (7 x 1)

Therefore, option D is the correct answer.

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