Can someone help me asap? It’s due tomorrow. Select all that apply

Answer:

ŷ = -0.895X + 13.600

Slope = -0.9

Intercept = 13.6

r = - 0.964

Step-by-step explanation:

Given the data:

X- 10.1 9.8 9.7 9.4 8.9 8.7 8.4 8.1

Y- 4.3 4.8 5.3 5.2 5.6 5.8 6.1 6.3

Inputting the data given into the online regression calculator :

The equation of line of best fit :

ŷ = -0.895X + 13.600

Slope = - 0.9(to the nearest tenth)

Intercept = 13.6 (to the nearest tenth)

The correlation Coefficient 'r' of the data supplied is - 0.9643, which implies that a strong negative correlation exists between the dependent and independent variables.

r = - 0.964 (to the nearest thousandth)

Inputting the data into the STAT then Fit Data function of the HP 50g

Graphing Calculator.

The meaning of the strong negative correlation is that the x-values

of the data is decreasing, while the corresponding y-values of the data

increasing.

Reasons:

The least squares regression line equation is the best fit line for the data

The formula for the least squares regression line is \(\hat Y = b \cdot X + a\)

Where;

\(b = \dfrac{n \cdot \sum X \cdot Y - \left (\sum X \right )\left (\sum Y \right )}{n \cdot \sum X^{2} - \left (\sum X \right )^{2}}\)

\(a = \dfrac{\sum Y - b \cdot \sum X}{n}\)

n = The sample size

Inputting the given data into the function Fit Data on a graphing calculator,

by editing ∑DAT.

The left column, represent the x-values, and right column represent the y-

values as follows;

\(\begin{array}{|c|cc|} \mathbf{Column \ 1}&&\mathbf{Column \ 2}\\10.1&&4.3\\9.8&&4.8\\9.7&&5.3\\9.4&&5.2\\8.9&&5.6\\8.7&&5.8\\8.4&&6.1\\8.1&&6.3\end{array}\right]\)

After inputting the data as above, press enter.

Move the pointer to the Model options line, select choose to choose the

Linear Fit model by selecting OK.

Select OK again for the calculator to do the calculations.

The least squares regression line equation given by the calculator is

presented as follows;

y = 13.5998272884 - 0.894645941278·x

The slope and the y-intercept rounded to the nearest tenth gives;

Correlation coefficient:

The correlation coefficient is given from the data using the following

formula;

\(r = \dfrac{n \cdot \sum X \cdot Y - \left (\sum X \right ) \cdot \left (\sum Y \right )}{\sqrt{n \cdot \sum X^{2} - \left (\sum X \right )^{2}\times n \cdot \sum Y^{2} - \left (\sum Y \right )^{2}}}\)

From the graphing calculator, we have the correlation coefficient, given as

follows;

Correlation: (-0.964276229529)

Therefore, to the nearest thousandth;

The high negative value of the correlation coefficient indicates a strong

and near perfect relationship between the variables, x, and y, such that we

have;

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Projab is the projection of vector a onto vector b. It is a vector that is perpendicular to b and has the same magnitude as a, and it is the vector that is closest to a in the direction of b.

In R2, the geometric interpretation is that projab is the vector that is obtained by dropping a perpendicular line from the tip of a onto the line containing b.

In R3, the geometric interpretation is that projab is the vector that is obtained by dropping a perpendicular line from the tip of a onto the plane containing b.

The equation for projab is projab = (a.b/|b|^2)b, where a.b is the dot product of a and b, and |b| is the magnitude of b.

The best estimator's error vector, when seen in terms of mean square errors, is orthogonal to all other feasible estimators, according to the orthogonality principle. The orthogonality principle can be expressed in a variety of ways, but it is most frequently used to describe linear estimators.

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Answer:

$177

Step-by-step explanation:

Given that:

Percentage covered by policy = 70%

Hence, person needs to pay (100 - 70)% = 30%

X - Ray cost :

1st = 640

2nd = 950

Total cost = (640 + 950) = 1590

Amount the person has to pay:

Total cost * 30%

1590 * 0.3 = $477

Since the person has $300 deductible :

$477 - $300 = $177

a. The Present value will be  $123.60 (15% nominal rate, semiannual compounding, discounted back 4 years). b. The Present value will be  $122.85 (15% nominal rate, quarterly compounding, discounted back 4 years. c. The Present value will be  $181.96 (15% nominal rate, monthly compounding, discounted back 1 year). d. The differences in the present values (PVs) occur due to the compounding frequency and discounting period.

To find the present value (PV) of $200 due in the future under different conditions, we need to use the formula for present value and consider the compounding frequency and discounting period.
a. 15% nominal rate, semiannual compounding, discounted back 4 years:
In this case, we use the formula PV = FV / (1 + (r/n))^(n*t), where FV is the future value, r is the nominal rate, n is the compounding frequency per year, and t is the number of years.
PV = $200 / (1 + (0.15/2))^(2*4)
PV = $200 / (1.075)⁸
PV = $123.60

b. 15% nominal rate, quarterly compounding, discounted back 4 years:
Using the same formula:
PV = $200 / (1 + (0.15/4))^(4*4)
PV = $200 / (1.0375)¹⁶
PV = $122.85

c. 15% nominal rate, monthly compounding, discounted back 1 year:
PV = $200 / (1 + (0.15/12))^(12*1)
PV = $200 / (1.0125)¹²
PV ≈ $181.96

d. The differences in the present values (PVs) occur due to the compounding frequency and discounting period. When compounding occurs more frequently, such as semiannually or quarterly, the PV decreases because the interest is added more frequently, reducing the impact of compounding. On the other hand, when the discounting period is longer, as in the case of 4 years versus 1 year, the PV decreases because the future value is being discounted over a longer time period.

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Answer:

it is odd i think

Step-by-step explanation:

We operate as follows:

**First problem:

*We divide the total number of messes by the value of the sum of the ratio.

391 / (14 + 9) = 17

After that, we multiply this value times the ration for the Gooey messes and we will obtain the number of Gooey messes present in the 391 messes:

17 * 14 = 238

So, we can expect 238 Gooey messes.

**Second problem:

*We have 174 purple yogi berries; we will have to calculate the number of berries that represent the 76% if we want to know how many are not purple. We also have the following ration 24:76 here there are 24 purple yogi berries to 76, not purple yogi berries, now we calculate:

So, we would expect 551, not purple yogi berries.

Answer:

We can use the given formula to solve for the cost C:

P = R - C

We know that P = $49.32 and R = $81.18, so we can substitute these values into the formula:

$49.32 = $81.18 - C

Next, we can solve for C by isolating it on one side of the equation:

C = $81.18 - $49.32

C = $31.86

Therefore, it cost Zach $31.86 to make the jewelry he sold at the fair.

Answer:

\(12.50 \space\ h = 2500.75\)

Step-by-step explanation:

We know from the question that the student earned $12.50 per hour.

Using this information, we can say that if the student worked for h hours, they would make a total of 12.50 × h dollars.

We also know that the total money they earned is $2500.75.

∴ Therefore, we can set up the following equation:

\(\boxed {12.50 \times h = 2500.75}\)

From here, if we want to, we can find the number of hours worked by simply making h the subject of the equation and evaluating:

h = \(\frac{2500.75}{12.50}\)

  = 200.6 hours

Answer: 12.50h = 2500.75

Step-by-step explanation:

We know from the question that the student earned $12.50 per hour.

Using this information, we can say that if the student worked for h hours, they would make a total of 12.50 × h dollars.

We also know that the total money they earned is $2500.75.

Answer:

B. 40 degrees and 140 degrees.

Step-by-step explanation:

please tell me if this is wrong

Answer: B. 40 degrees and 140 degrees.

Step-by-step explanation:

I have token the test and wanted to help

Answer:

1/6p + 1/5

Step-by-step explanation:

Hope this helps! Pls give brainliest!

The slope of the tangent line to the curve defined by 9xy + xy = 10 at the point (1, 1) is -1.

To find the slope of the tangent line to the curve defined by the equation 9xy + xy = 10 at the point (1, 1), we can use implicit differentiation.

Let's start by differentiating both sides of the equation with respect to x.

Differentiating the left side of the equation:

d/dx(9xy + xy) = d/dx(10)

Using the product rule for differentiation, we differentiate each term separately:

d/dx(9xy) + d/dx(xy) = 0

Now, let's calculate the derivatives of each term:

For the first term, 9xy:

Using the product rule, we have:

d/dx(9xy) = 9y * dx/dx + 9x * dy/dx

= 9y + 9x * dy/dx

For the second term, xy:

Using the product rule again, we have:

d/dx(xy) = y * dx/dx + x * dy/dx

= y + x * dy/dx

Substituting these results back into our equation, we get:

9y + 9x * dy/dx + y + x * dy/dx = 0

Combining like terms, we have:

10y + 10x * dy/dx = 0

Now, let's find the value of dy/dx at the point (1, 1). We substitute x = 1 and y = 1 into the equation:

10(1) + 10(1) * dy/dx = 0

Simplifying further:

10 + 10 * dy/dx = 0

Dividing both sides by 10:

1 + dy/dx = 0

Finally, subtracting 1 from both sides:

dy/dx = -1

Therefore, the slope of the tangent line to the curve defined by 9xy + xy = 10 at the point (1, 1) is -1.

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Answer:

the answer would be y^6/x^2

Step-by-step explanation:

so (Y) to the sixth power over (X) to the second power

Answer:

Step-by-step explanation:

\(f(x)=3x-11\)

\(f(-x)=3(-x)-11=-3x-11\)

I hope this is what you are asking for...apologies if not.

As per the conversion factor, the amount of laundry detergent in liter is 5.5 liters (option b).

When we want to convert units from one measurement system to another, we use something called a conversion factor. A conversion factor is a ratio that expresses the relationship between two different units of measurement. In this case, we want to convert milliliters (mL) to liters (L).

The conversion factor we need to use is:

1 liter = 1000 milliliters

This means that there are 1000 mL in one liter. We can use this conversion factor to convert 5,500 mL to liters.

To do this, we need to set up a ratio using the conversion factor:

5,500 mL * (1 L/1000 mL)

The units of milliliters cancel out, leaving us with liters:

5,500/1000 = 5.5 L

So the answer is 5.5 liters.

Hence the correct option is B.

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The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.



To determine the number of significant figures in a calculation, we follow the rules for significant figures:

1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.

Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).

Now, multiplying this result by \(3.1416\) gives \(329.5719744\).

The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.

According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.

Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.

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Answer:

No

Step-by-step explanation:

This is because 7.5% of $170 is $12.75. If you add this to the original price of $170, then it will equal $182.75.

Answer:

782

Step-by-step explanation:

Since it's asking for the before game miles youd have to take he total yards.

(871)

The you wanna take the total yards ran from that one game.

(89)

Then just subtract by the number of yards total and the number of yards ran in that one game.

871-89=782

Answer:

900

Step-by-step explanation:

\(I=Prt=(9000)(0.02)(5)=900\)

firm 2's quantity at the Cournot equilibrium is q2=5/3.the inverse demand function: p=10−Q=10−(q1+q2)=10−(11/5+4/5)=4. firm 2's quantity at the new Cournot equilibrium is q2=4/5.

The best response of firm 1 is given by 1q1=5−0.5q21+q2, and the best response of firm 2 is given by 2q2=5−0.5q12+q1. These best response functions are illustrated in the following diagram:
At the Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect.

Therefore, solving the two best response functions simultaneously for q1 and q2 gives:
q1=q2=5/3
Therefore, firm 2's quantity at the Cournot equilibrium is q2=5/3.
The new best response function for firm 2 is given by 2q2=5−q1+2q22. This is obtained by replacing c2=2 with c2=4 in firm 2's profit function. The new best response function is illustrated below:

At the new Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect. Therefore, solving the two best response functions simultaneously for q1 and q2 gives:
q1=11/5
q2=4/5
Therefore, firm 2's quantity at the new Cournot equilibrium is q2=4/5.

To determine the market price at the new Cournot equilibrium, we substitute the new equilibrium quantities into the inverse demand function:
p=10−Q=10−(q1+q2)=10−(11/5+4/5)=4
Therefore, the market price at the new Cournot equilibrium is p=4.

In this exercise, we consider a market with two firms, 1 and 2, facing the inverse demand p()=10− p(Q)=10-Q where =1+2Q=q1+q2.

The two firms incur a marginal cost of production c1=c2=2c1=c2=2, produce a homogeneous good, and are Cournot competitors. The best response of firm 1 is given by 1q1=5−0.5q21+q2, and the best response of firm 2 is given by 2q2=5−0.5q12+q1. These best response functions are illustrated in the diagram below:

At the Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect

. Therefore, solving the two best response functions simultaneously for q1 and q2 gives q1=q2=5/3. Therefore, firm 2's quantity at the Cournot equilibrium is q2=5/3.The new best response function for firm 2 is given by 2q2=5−q1+2q22. This is obtained by replacing c2=2 with c2=4 in firm 2's profit function.

The new best response function is illustrated in the following diagram:At the new Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect.

Therefore, solving the two best response functions simultaneously for q1 and q2 gives q1=11/5 and q2=4/5. Therefore, firm 2's quantity at the new Cournot equilibrium is q2=4/5

To determine the market price at the new Cournot equilibrium, we substitute the new equilibrium quantities into the inverse demand function: p=10−Q=10−(q1+q2)=10−(11/5+4/5)=4. Therefore, the market price at the new Cournot equilibrium is p=4.

In conclusion, we have analyzed the effect of a raising rival's cost strategy on a Cournot duopoly. We have shown that the strategy reduces firm 2's quantity and increases the market price, but does not affect firm 1's quantity.

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Answer:

The amplitude is 6

We can use the sine here...I'm assuming that the period is 4 seconds.....so each second is

2pi / 4 = pi/2 rads

So...we have this function

y = 6sin ( pi * t / 2)

The outcome or result of adding two or more integers is known as the SUM.

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

the sum of two or more numbers, magnitudes, quantities, or specifics as determined by or as though decided by the addition process in mathematics.

The outcome of adding two or more numbers, objects, or things is referred to in mathematics as the sum.

The result or solution we obtain from adding two or more integers is known as the SUM. Addends are the figures that are combined.

\(Simplify $\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}: \frac{x+5}{x+3}$Steps$$\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}$$Apply the fraction rule: $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$$$=\frac{x+3+2}{x+3}$$Add the numbers: $3+2=5$$$=\frac{x+5}{x+3}$$\)

Therefore, the correct answer is option b) \($=\frac{x+5}{x+3}$\)

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Answer:

-∞ < x< -∞

Step-by-step explanation:

The domain is the values that x takes

The values that x can take is all real values of x

-∞ < x< -∞

To find the regression equation for a given data set, we need to use the least squares method. This involves finding the line that minimizes the sum of the squared differences between the observed data points and the predicted values on the line. The regression equation is then in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.

Using the given data set, we can first calculate the mean of x and y, which are 6.43 and 6.14, respectively. Then, we can calculate the sample variance of x and the covariance between x and y, which are 6.96 and -5.29, respectively. Using these values, we can calculate the slope and y-intercept of the regression line as follows:

m = cov(x, y) / var(x) = -5.29 / 6.96 = -0.76

b = y_mean - m * x_mean = 10.71

Therefore, the regression equation for the given data set is y = -0.76x + 10.71. This equation represents the line of best fit that can be used to predict the value of y for any given value of x in the range of the data set.

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Answer:

2x+10

Step-by-step explanation:

Hi there!

To represent last weeks sale, you would have f=x

x= the number of hot dogs he sold last week

Now, to get the expression of this week, you know that he sold TWICE as many as last week, and we know that x represents last week's sale, so you would get 2x.

2 represents twice the sales of the last week, and x represents last week's sales.

But then you also know that he sold 10 more. So he sold twice as many as last week's hot dogs but he also sold 10 more. That's where you get 2x+10

Again, 2x represents twice as many sales this week and the 10 is the 10 more hot dogs he sold.

Really hope this helps!

An expression for hot dogs Jack sold this week is 2x+10.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

To represent last week's sale, you would have f=x

x= the number of hot dogs he sold last week

Now, to get the expression of this week, you know that he sold TWICE as many as last week, and we know that x represents last week's sale, so you would get 2x.

2 represents twice the sales of the last week, and x represents last week's sales.

But then you also know that he sold 10 more. So he sold twice as many as last week's hot dogs but he also sold 10 more. That's where you get 2x+10

Therefore, the expression for hot dogs Jack sold this week is 2x+10.

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Answer: D

Step-by-step explanation:

It passes through the points and is horizontal

Answer:

D

Step-by-step explanation:

The maximum value is the y- coordinate of the vertex

Given a quadratic in standard form , y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - \(\frac{b}{2a}\)

y = - x² + 6x + 5 ← is in standard form

with a = - 1 and b = 6 , then x- coordinate of vertex is

x = - \(\frac{6}{-2}\) = 3

Substitute x = 3 into the function for y- coordinate of vertex

y = - 3² + 6(3) + 5 = - 9 + 18 + 5 = 14

maximum value is 14 → D

The line draw down as per given dimensions of standard sheet of paper 8.5x11 in then half the width of paper is 4.25 inches long approximately.

Let's consider a standard sheet of paper, which typically has dimensions of 8.5 inches by 11 inches (width by height).

If you draw a straight vertical line down half the width of the paper,

It is essentially drawing a line from the top edge to the bottom edge, dividing the paper into two equal halves.

The width of the paper is 8.5 inches.

When you draw a line down half the width, you are going from one edge to the midpoint.

Since you are going halfway, the length of the line will be half of the width,

which is 8.5 inches divided by 2, resulting in approximately 4.25 inches.

Therefore, the line you draw down half the width of the paper will be approximately 4.25 inches long.

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