I think if you zoom in a bit on the pictures you can see the math questions and please at least help me with some. You don't have to do it all if it's too much. (:

Answer:

20 - 2s = c

Step-by-step explanation:

Lets imagine c is the change he got back

He  bought 2 soft drinks at a cost of s dollars each, so 2s

and he used a $20 bill

so $20 - 2s = change

Have a nice day! :-)

The principle that the coefficient of correlation is invariant with respect to the change of scale and the change of origin is a fundamental concept in statistics. It states that the value of the correlation coefficient remains unchanged when the scale or origin of the data is transformed.

To understand this principle, let's first define what the coefficient of correlation is. The coefficient of correlation, often denoted as r, measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

The correlation coefficient between X' and Y will be the same as the correlation coefficient between X and Y. This is because scaling both variables by the same factor does not alter their relative positions or the strength of their linear relationship.

Similarly, if we apply a change of origin to either variable by adding or subtracting a constant value from each data point, it also does not affect the correlation between X and Y. The correlation coefficient remains unchanged.

The correlation coefficient between X' and Y will be the same as the correlation coefficient between X and Y. This is because shifting both variables by the same constant does not change their relative positions or the strength of their linear relationship.

The principle that the coefficient of correlation is invariant with respect to the change of scale and the change of origin holds true because correlation measures the linear relationship between variables rather than their absolute values or positions. It focuses on the pattern of association between variables rather than their specific numerical values.

In conclusion, scaling or shifting the variables by a constant factor or value does not alter their linear relationship. This principle is fundamental in statistical analysis and allows for meaningful comparisons and interpretations of correlation coefficients.

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The first four terms of the Taylor series for the function (2x) about the point (a=1) are (2x + 2x - 2).

To find the first four terms of the Taylor series for the function (2x) about the point (a = 1), we can use the general formula for the Taylor series expansion:

\(\[f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \frac{f'''(a)}{3!}(x-a)^3 + \ldots\]\)

Let's calculate the first four terms:

Starting with the first term, we substitute

\(\(f(a) = f(1) = 2(1) = 2x\)\)

For the second term, we differentiate (2x) with respect to (x) to get (2), and multiply it by (x-1) to obtain (2(x-1)=2x-2).

\(\(f'(a) = \frac{d}{dx}(2x) = 2\)\)

\(\(f'(a)(x-a) = 2(x-1) = 2x - 2\)\)

Third term: \(\(f''(a) = \frac{d^2}{dx^2}(2x) = 0\)\)

Since the second derivative is zero, the third term is zero.

Fourth term:\(\(f'''(a) = \frac{d^3}{dx^3}(2x) = 0\)\)

Similarly, the fourth term is also zero.

Therefore, the first four terms of the Taylor series for the function (2x) about the point (a = 1) are:

(2x + 2x - 2)

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Lani uses the fraction 1/3 of a yard of ribbon for each bow.

Fractions represent a part of a whole, and are used to express values that are not whole numbers.

To find the required fraction divide the total amount of ribbon by the number of bows to find the amount of ribbon used per bow.

We also use the concept of fractions to represent the amount of ribbon used per bow as a part of a yard.

Here we have

Lani uses 2 yards of ribbon to make 6 bows. each bow uses the same amount of ribbon.

To find the fraction of a yard of ribbon used for each bow, we need to divide the total length of ribbon used by the number of bows.

Hence, The amount of ribbon used for each bow is:

=> 2 yards/ 6 bows

= 1 yards/3bow

Therefore,

Lani uses the fraction 1/3 of a yard of ribbon for each bow.

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The simplest factorial design contains 2 independent variables with 2 conditions. The answer is option B.

A factorial design is a study in which two or more independent variables are manipulated to see their impact on the dependent variable. The simplest factorial design contains two independent variables, each with two conditions, for a total of four conditions. This is referred to as a 2x2 factorial design. The factors analyzed in such a design are the primary factor: Factor A, which has two levels, is known as the primary factor or the rows, and the secondary factor: Factor B, which has two levels, is referred to as the secondary factor or the columns.

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The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute

To calculate the allowance time, we can use the following formula:

Allowance time = Standard time - Basic time

Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes

Therefore, the allowance time is 0.75 minutes.

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Answer:

Step-by-step explanation:

A.  

To find the volume of the solid, we can use integration.

Let's consider a cross section of the solid at a specific value of y. Since the cross sections perpendicular to the y-axis are squares, the side length of each square will be equal to 2 times the corresponding y-value. In other words, for a given y, the side length of the square cross section will be 2y.

The area of each square cross section is then (2y)^2 = 4y^2.

To find the volume, we integrate the area of each square cross section over the range of y-values that span the circular base. Since the base has a radius of 10, the range of y-values is from -10 to 10.

Therefore, the volume of the solid can be computed using the following integral:

V = ∫[-10,10] 4y^2 dy

Integrating, we get:

V = [4/3 y^3] from -10 to 10

V = 4/3 (10^3 - (-10)^3)

V = 4/3 (1000 - (-1000))

V = 4/3 (2000)

V = 8000/3

So, the volume of the solid is 8000/3 cubic units.

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Answer:0.99970149

Step-by-step explanation:If it's 1.4 degrees, it's equal to 0.9997014898

If it's 1.4 radians, it's equal to 0.1699671429

Answer:

See below

Step-by-step explanation:

If it's 1.4 degrees, it's equal to 0.9997014898

If it's 1.4 radians, it's equal to 0.1699671429

Mason's friends do not play video games are 4.

Mason asked some classmates whether they play video games.

The ratio of friends who play video games to everyone he asked is given as some fraction or decimal value.
Let's assume that the ratio is in the form of "x:y",

"x" represents the number of friends who play video games, and "y" represents the total number of friends that Mason asked.
To find out how many of his friends do not play video games,

To subtract the number of friends who play video games from the total number of friends that Mason asked.

This is because the remaining friends who were not counted in the "x" value of the ratio must be those who do not play video games.
So, the number of friends who do not play video games can be calculated as:
Total number of friends - Number of friends who play video games = y - x
The ratio of friends who play video games to everyone he asked is 3:7,

It means that out of 7 friends, 3 play video games, and 4 do not play video games.

The number of friends who do not play video games can be calculated as:
y - x = 7 - 3 = 4  

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Answer:

She can advertise for 10 days

Step-by-step explanation:

Here, we want to know for how long can Jackie advertise if she decides to buy a 4-line ad which will run for three days.

The total money she has or she wants to spend is $15.

Now if $4.35 will run for 3 days

then $15 will run for x days

4.35 * x = 15 * 3

4.35x = 45

x = 45/4.35

x = 10.34 which is approximately 10 to the nearest whole number

We have two solutions for x:

x = -8 + 2√5

x = -8 - 2√5

To solve the equation \(x^2 + 16x + 44 = 0\), we can use the given information that \(x^2 + 16x + 44 = (x+8)^2 - 20\). We rewrite the equation as:

(x+8)² - 20 = 0

Now, we need to solve for x:

(x+8)² = 20

Take the square root of both sides:

x + 8 = ±√20

Now, we can simplify √20:

√20 = √(4 * 5) = 2√5

Subtract 8 from both sides to solve for x:

x = -8 ± 2√5

So, we have two solutions for x:

x = -8 + 2√5

x = -8 - 2√5

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The power factor in a system is defined as the cosine of the angle between the voltage and current waveforms. The power factor in this system is 0.906, indicating a relatively efficient use of power.

In this case, the voltage waveform is given as V = 120V sin(377t + 20°) and the current waveform is given as I = 60A sin(377t + 45°). To find the power factor, we need to determine the angle between the voltage and current waveforms. First, let's convert the voltage and current waveforms to phasor form:
V = 120V ∠ 20°
I = 60A ∠ 45°
The angle between the voltage and current phasors is given by:
θ = θv - θi = 20° - 45° = -25°
The power factor is the cosine of this angle, so:
PF = cos(-25°) = 0.906

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Answer:

A.

Step-by-step explanation:

Answer:

a) \(-30+48x\)

Step-by-step explanation:

To find an expression equivalent to \(-6(5-8x)\), we can expand the brackets.

\(-6(5-8x) = -6(5) - 6(-8x)\\\\\)

                 \(=-30+48x\)

\(\therefore -6(5-8x)=-30+48x\) , option a.

The required probability is 0.4408.

The operating characteristics of the loading gate problem are:

L = λ/ (μ - λ)

W = 1/ (μ - λ)

Lq = λ^2 / μ (μ - λ)

Wq = λ / μ (μ - λ)

ρ = λ / μ

P0 = 1 - λ / μ

Where, L represents the average number of cars either being loaded or waiting.

W represents the average time a car spends either being loaded or waiting.

Lq represents the average number of cars waiting.

Wq represents the average waiting time of a car.

ρ represents the utilization factor.

ρ = λ / μ represents the ratio of time the worker spends loading cars to the total time the system is busy.

P0 represents the probability that the system is empty.

The probability that there will be more than six cars either being loaded or waiting is to be determined. That is,

P (n > 6) = 1 - P (n ≤ 6)

Now, the probability of having less than or equal to six cars in the system at a given time,

P (n ≤ 6) = Σn = 0^6 [λ^n / n! * (μ - λ)^n]

Putting the values of λ and μ, we get,

P (n ≤ 6) = Σn = 0^6 [(6/ 48)^n / n! * (8/ 48)^n]

P (n ≤ 6) = [(6/ 48)^0 / 0! * (8/ 48)^0] + [(6/ 48)^1 / 1! * (8/ 48)^1] + [(6/ 48)^2 / 2! * (8/ 48)^2] + [(6/ 48)^3 / 3! * (8/ 48)^3] + [(6/ 48)^4 / 4! * (8/ 48)^4] + [(6/ 48)^5 / 5! * (8/ 48)^5] + [(6/ 48)^6 / 6! * (8/ 48)^6]P (n ≤ 6) = 0.5592

Now, P (n > 6) = 1 - P (n ≤ 6) = 1 - 0.5592 = 0.4408

Therefore, the required probability is 0.4408.

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Time-series analysis is most effective when used in medium- to long-term forecasts.

Time-series analysis is most effective when used in​ short-term forecasts. So, the correct option is D. Short.

In mathematics, time series are data points indexed (or listed or plotted) over time. In general, a time series is a sequence obtained at successive points in time. So it is a discrete time data series. Examples of time series are the peak height of the Dow Jones Industrial Average, the number of days, and the daily closing price.

Time series are usually organized by running charts (timeline charts). Time series statistics, signal processing, pattern recognition, econometrics, financial mathematics, weather forecasting, earthquake prediction, electroencephalography, control engineering, astronomy, communications engineering, etc. It is used with the time measurement field in many science and engineering fields.

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Answer:

1) No

2) Yes

3)No

4)Yes

Step-by-step explanation:

1) 3(8) is simplified to 24

But 24 < 24 is not a true statement because they are both equal.

2)  3(5) is simplified to 15

15 < 40 is a true statement because 15 is less than 24

3) 3(11) simplifies to 33

33 < 24 is not a true statement because 33 is more than 24

4) 3(6) simplifies to 18

18 < 24 is a true statement because 18 is less than 24

Hope this helped.

Answer:

i belive it is 10

Step-by-step explanation:

sorry if this is wrong

When a function f(x) is equal to another function g(x) but shifted one unit to the right, we can compare points of equal value for f(x) and g(x) to relate the equations.

For example, f(x) has its vertex at x = 1 and g(x) has its vertex at x = 0.

As they represent the same point for the function, we can write:

We can generalize this for any point as:

Also, we can write:

Then, we now know that f(x) is equal to g(x-1) for any value of x.

Knowing the equation of g(x), we can find f(x) as:

Answer: f(x) = (x-1)^4 [Option D]

Answer:

D

Step-by-step explanation:

Parallel lines have the same slope. The slope is the number before the x.  So the slope will be 4.

The point (-5,6) is on the line.  We will use this to find the y-intercept.

slope (m) = 4

x = -5  from the point (-5,6)

y = 6    from the point (-5,6)

Plug these into

y =mx + b to solve for b (y-intercept)

6 = 4(-5) + b

6 = -20 + b  Add 20 to both sides of the equation

6 +20 = -20 + 20 + b

26 = b

Write the equation:

y = mx + b

y = 4x + 26

Answer:

In general, those students that studied scored much higher than those students that did not study.

Step-by-step explanation:

Hope this helps.

The median of the group that did not study is less than 80.

also

In general, those students that studied scored much higher than those students that did not study.

Answer:

8.5y

Step-by-step explanation:

you add what's in the parentheses, 0.5+8, it's 8.5

You then do 8.5*y, and you get

8.5y

9514 1404 393

Answer:

  80

Step-by-step explanation:

Let m represent the number of males. Then you have ...

  m/(180 -m) = 4/5

  5m = 4(180 -m) . . . . cross multiply

  9m = 720 . . . . . . . . add 4m, simplify

  m = 80 . . . . . . . . . . divide by 9

The number of males at the fair was 80.

Answer:

35 milligrams

Step-by-step explanation:

To get from 12 ounces to 3 ounces, you need to divide by 4.

Do the same with 140 milligrams and you get 140/4=35 milligrams.

Answer:

120° and  60°

Step-by-step explanation:

Suplementary angles sum 180°

then:

a + b = 180°

b = 2a

then:

a + 2a = 180°

3a = 180°

a = 180/3

a = 60°

b = 2a

b = 2*60

b = 120°

Check:

120° + 60° = 180°

Answer:

The train is 0839

Step-by-step explanation:

First off, 0620 and 0746 are not available options, as Jean would've immediately know, as they're the only one with non-repeated minutes.

Now, when Marie says "I'm sure neither does Jean", it means she didn't get 06 or 07, as those are the number that has 0620 and 0746, which then she cannot ensure that Jean doesn't know the train arrival.

We're left with 0825, 0839, 0917, 0925 and 0950

After that, Jean said he knows the train number. So, he couldnt've gotten 25, as it is repeated in the 5 options we pick. => we're left with 0839, 0917 and 0950.

And then, Marie responds now she does as well, which it cannot be 09, as it is repeated.

So, the train number is 0839.

Answer:

B) <

Step-by-step explanation:

Since both numbers are being multiplied by 10^-5, we can completely cut that part out of the inequality and instead just compare the values 3.2 and 4.6. It is obvious when looking at the problem that 3.2 is smaller than 4.6, so we will use the less than symbol <.

Hopefully that's helpful! Good luck on your quiz. :)

After 9 years Rasheed be closest to doubling his initial investment.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The principal amount which Rasheed invested ‘P’ = $1000

Rate of interest ‘r’ =  8%

                            = 0.08

Compounding annually; then n = 1

Now,

The doubling amount is ‘A’ = 2xP = $2000

Since we know the compound interest year formula;

⇒ A = P (1+r/n)^nt

Where t represents the time in year.

Now substituting the values we get;

⇒ 2000 = 1000 (1+0.08/1)^t

⇒ 2 = (1.08)^t

Taking log both sides

⇒ t =  0.3010/0.0334

⇒ t = 9.01

Thus, it takes 9 years to double.

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Answer:

12,300

Step-by-step explanation:

I'll right this as a function to make it easier on me.

f(x) = 7500(1 + 0.8)^x

f(2) = 7500(1 + 0.8)^2

f(2) = 7500(1 + 0.64)

f(2) = 7500(1.64)

f(2) = 12300

Answer:

$8700

Step-by-step explanation:

0.08 x 2 yrs = 0.16

7500 x 0.16 =1200

7500 + 1200 = 8700