im so stressed rn i need help pls​

The slope and y-intercept for the least-squares line of quiz 1 scores and test scores are;

Slope = 0.6

y-intercept = 7.16

The least-squares regression line is a line that fits the data points on a graph by minimizing the vertical distance between the data points to the regression line.

The table of values are presented as follows;

            \({}\)                   Quiz 1 (x) \({}\)           Test (y)

            \({}\)                       15             \({}\)           20

            \({}\)                       12             \({}\)           15

            \({}\)                       10             \({}\)           12

            \({}\)                        14             \({}\)           18

            \({}\)                        10             \({}\)         10

            \({}\)                         8             \({}\)          13

            \({}\)                         6             \({}\)          12

            \({}\)                        15             \({}\)          10

            \({}\)                        16             \({}\)          18

            \({}\)                        13             \({}\)          15

Mean                           11.9             \({}\)          14.3

Standard Deviation     3.3              \({}\)          3.5

The formula for the slope, b, of the least-squares line is presented as follows;

\(\displaystyle b=\frac{\sum \left(x_i-\bar{x}\right)\times \left(y_i-\bar {y}\right)}{\sum \left(x_i-\bar{x}\right)^2}\)

The values of the terms of the equations obtained by using the spreadsheet application MS Excel are;

\(\displaystyle {\sum \left(x_i-\bar{x}\right)\times \left(y_i-\bar {y}\right)}\) = 59.3

\(\displaystyle {\sum \left(x_i-\bar{x}\right)^2\) = 98.9

Therefore;

\(\displaystyle b=\frac{59.3}{98.9} \approx 0.6\)

The formula for the y-intercept is; c = \(\bar y-b\cdot \bar x\)

Therefore;

c ≈ 14.3 - 0.6 × 11.9 = 7.16

Question options;

The possible question options obtained from a similar online are;

Slope = 0.54

y-intercept = 1.22

Slope = 0.6

y-intercept = 7.16

Slope = 0.54

y-intercept = 1.71

Slope = 0.6

y-intercept = 1.22

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There is no most common number among the first million digits of pi.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Pi is an irrational number that continues infinitely without repetition or pattern.

Therefore, in theory, each digit from 0 to 9 should appear with equal frequency among the first million digits of pi.

In practice, however, it is not always the case due to the random nature of the digits.

That being said, there have been computational studies that have analyzed the frequency distribution of the digits in the first million digits of pi, and the results show that each digit appears with almost the same frequency.

Therefore,

There is no most common number among the first million digits of pi.

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Answer:

  18.1 feet

Step by step explanation:

You want to know how far Megan will have to kick a soccer ball to hit the crossbar of the goal when she is 15 feet from the goal and the angle of elevation to the crossbar is 34°.

To answer this question, we need to use the trigonometric formula, cos(angle of elevation) = adjacent/hypotenuse. In this case, we can solve for the hypotenuse (distance to be kicked) since the angle of elevation is given as 34° and the adjacent side (distance from the soccer ball to the goal) is given as 15 feet.

  cos(34°) = (15 feet)/(distance to be kicked)

  (distance to be kicked) = (15 feet)/cos(34°) ≈ (15/0.829) feet ≈ 18.1 feet

This gives us a distance of approximately 18.1 feet that Megan will have to kick the soccer ball to hit the crossbar.

Megan has tο kick the sοccer ball abοut 9.43 feet tο hit the tοp οf the gοal crοssbar.

The right-angled triangle's angle and the ratiο οf its twο side lengths are related by the trigοnοmetric functiοns, which are actual functiοns.

We can fοrm a right triangle with the sοccer ball, the tοp οf the gοal crοssbar, and a pοint directly belοw the tοp οf the gοal crοssbar (which we will call pοint A).

The angle οf elevatiοn frοm the sοccer ball tο the tοp οf the gοal crοssbar means that angle A is 34 degrees.

We alsο knοw that the distance between the sοccer ball and pοint A is 15 feet.

Using trigοnοmetry, we can find the length οf AB:

tan(A) = οppοsite/adjacent

tan(34) = AB/15

AB = 15 * tan(34)

AB ≈ 9.43 feet

Therefοre, Megan has tο kick the sοccer ball abοut 9.43 feet tο hit the tοp οf the gοal crοssbar.

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Answer:

\(f^{-1}(x)=\frac{x-4}{5}\)

Step-by-step explanation:

1. replace f(x) with x, and x with y:  x=5y+4

2. solve for y: x=5y+4

                 ⇒  x-4=5y

                 ⇒  (x-4)/5=y

3. replace y with f⁻¹(x)

Answer:

117

Step-by-step explanation:

well, if they are supplementary, and they are on the same line and a line is equal to 180 degrees, then its as easy as 180-63=117

Answer:

A) I consumed 69 calories.

B)  There are 21 cashews in one serving.

Step-by-step explanation:

Given that the nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams, and I eat 9 cashews totaling 12 grams, to determine how many calories do I consume and how many cashews are in one serving should be performed the following calculations:

A)

28 = 161

12 = X

12 x 161/28 = X

1932/28 = X

69 = X

So, I consumed 69 calories.

B)

12 = 9

28 = X

28 x 9/12 = X

252/12 = X

21 = X

Therefore, there are 21 cashews in one serving.

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

The percentage of male goat is 56%

We have given that  14 of the goats are male,and 11 of the goats are female.

We have to calculate what percentage of these goat are male:

Total number of goat

14+11=25 goats

The goats are male=14

The goats are female=11

What is the formula for percentage?

\(\frac{number of goats}{total number of goats}*100\)

percentage of male goats is,

\(=\frac{no of male goats}{total no of goats}*100\)

\(=\frac{14}{25} *100\)

\(=14*4\)

\(=56\)

Therefore we get the percentage of male goat is 56%

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Answer:

1/2

Step-by-step explanation:

The answer is equal to |4/6|-|1/6|=3/6=1/2

Answer:

To find the answer, we can use the formula:

number of won games / total number of games played = percentage won

Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:

number of won games / x = 0.65

To solve for x, we can cross-multiply:

number of won games = 0.65x

We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:

If the team played 22 games, then the number of won games is:

number of won games = 0.65 * 22 = 14.3

This is not a whole number value, so we can rule out choice A.

We can repeat this process for each answer choice. When we try choice C, we get:

number of won games = 0.65 * 18 = 11.7

This is also not a whole number value, so we can rule out choice C.

When we try choice D, we get:

number of won games = 0.65 * 14 = 9.1

This is also not a whole number value, so we can rule out choice D.

Therefore, the only remaining answer choice is B, which gives us:

number of won games = 0.65 * 20 = 13

This is a whole number value, so the team could have played 20 games in total last season.

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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Answer:

D, a number divided by 7

The number which is lesser than its square is 12/11

When a number is multiplied by itself, the result is a square number. For instance, 25 is a square number as it is composed of 5 lots of 5, or 5 × 5. 

The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b." Every integer has two square roots, one of a positive value and one of a negative value, because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of a number is typically only expressed as the positive value.

The numbers are

9/10 , 12/11 , 15/16 and 13/13

The squares are

81/100, 144,121, 225/256, 1

here

81/100 < 9/10 abd

225/256 < 15/16

144/121 > 12/11

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The driving speed is 417 miles per day.

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

Given:

The family is driving from City A to City B.

In 6 days, they have traveled 2,502 miles.

So, we know,

Speed = Distance / Time,

Speed = 2502 / 6

Speed = 417 miles per day

Therefore, the speed is 417 miles per day.

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The complete question:

The family is driving from City A to City B. In 6 days, they have traveled 2,502 miles. At this rate, how long will it take them to travel from City A to City B.

Answer:

114.29

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

0.333 - 1/3

0.6667 - 1/6

0.2 - 2/10

0.2857 - 2/7

Answer:

Area of window = 50 feet²

Step-by-step explanation:

In the given question dimensions of the window (length and width) are missing.

So,

Assume;

Length of window = 10 feet

Width of window = 5 feet

Find:

Area of window

Computation:

Area of window = Area of rectangle

Area of rectangle = Length x Width

Area of window = Length of window x Width of window

Area of window = 10 x 5

Area of window = 50 feet²

Answer:

$52

Step-by-step explanation:

$52. Since Alex pays for car insurance twice a year, divide the cost of each payment by 6, the number of months in half a year. This will tell you how much money Alex needs to set aside each month to cover his insurance costs.

312÷6=52

Answer:

23

Step-by-step explanation:

Answer:

Here's what i know:

x + y = 23

3y / 20 =x

Here we can use substitution to help find our answer:

y + 3y/20 = 23

20y/20 + 3y/20 = 23

23y/20 = 23

23y = 23 * 20

y = 23 * 20 / 23

y = 20

x + 20 = 23

x = 3

Answer:

3 and 20

Step-by-step explanation:

We have 2 numbers, we will call them a and b.

We have: a = \(\frac{3}{20}\)b and a + b = 23

=> \(\frac{3}{20}\)b + b = 23

=> \(\frac{23b}{20}\) = 23

=> 23b = 460

=> b = 20

=> a = 3

Answer:

Here it goes -0.333

The diagram shows a figure made up of a rectangle and a right angled triangle.

The area of each segment is derived as follows;

The area of the triangular segment is 90 square feet

The answer choices only have 90 square feet among the choices available.

Answer: (1.5, 1.2) are the coordinates and the distance is 4 graph across the paper.

Step-by-step explanation:

If you reflect it across the x-axis you get two positives and no negative becouse in a graph paper there are four diffrent groups your nswer is on the top right side.

Looks like the equation is

\(x^7y+y^7x=7\)

Differentiate both sides with respect to \(x\), taking \(y\) to be a function of \(x\).

\(\dfrac{\mathrm d[x^7y+y^7x]}{\mathrm dx}=\dfrac{\mathrm d[7]}{\mathrm dx}\)

\(\dfrac{\mathrm d[x^7]}{\mathrm dx}y+x^7\dfrac{\mathrm dy}{\mathrm dx}+\dfrac{\mathrm d[y^7]}{\mathrm dx}x+y^7\dfrac{\mathrm dx}{\mathrm dx}=0\)

\(7x^6y+x^7\dfrac{\mathrm dy}{\mathrm dx}+7y^6x\dfrac{\mathrm dy}{\mathrm dx}+y^7=0\)

Solve for \(\frac{\mathrm dy}{\mathrm dx}\):

\((x^7+7y^6)\dfrac{\mathrm dy}{\mathrm dx}=-(7x^6y+y^7)\)

\(\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{7x^6y+y^7}{x^7+7y^6}\)

The amount of each paycheck after all $4488.26 is withdrawn for all expenses is $1388.89.

When purchases are made, the balance rises; when payments are made, the balance falls. Your credit card balance is affected by purchases, balance transfers, foreign exchange, fees, and interest, among other things.

The increase in Ivy's account balance is $321.58.

Ivy received three payments and took a total withdrawal of $4488.26 to pay all of her bills and obligations.

Let x be the amount in a single Ivy's paycheck.

Ivy was paid three times = 3x

Ivy withdrew $4,488.26 to cover all her bills and expenses.

Therefore,

3x + 321.48 = 4488.26

3x = 4166.68

x = ( 4166.68 / 3 )

x = $1388.89

The amount on Ivy's paycheck is $1388.89.

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Answer:

2

Step-by-step explanation:

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Answer:

16 cups of water

Step-by-step explanation:

You find this by  dividing 28 by your ratio of flour to get 4, then multiplying the cups of water, 4, by 4 to get 16 cups of water