To get the 10% discount, a shopper must spend more than $500.
Use d to represent the spending (in dollars) of a shopper who gets the discount

Answer:

as in a decimal? or a regular number?

Step-by-step explanation:

456.70 i think

Answer:

Step-by-step explanation:

1. orange line: y = 4

2. Green line:

(0, -1), (1, 0)

(0 + 1)/(1 - 0)= 1/1= 1

y + 1 = x - 0

y = x - 1

3. black line:

(0, 4), (2, 0)

(0 - 4)/( 2 - 0) = -4/2 = -2

y - 4 = -2(x - 0)

y - 4= -2x + 0

y = -2x + 4

4. blue line: x = -4

Answer:

If the shipping is for all books then the total cost is 164.95

Answer:

-9+5=-4

Step-by-step explanation:

a negative times a negative is always a positive.

Answer:

-9 + 5

Step-by-step explanation:

If there is a negative sign in front of a negative number in parenthesis, then that makes the negative number a positive number which is -9 + 5

a) The actual distance between towns K and L is: 100 km

b) As shown in the attached file

c) The bearing of town L from town K is 117 degrees.

The scale of the map is given as:

1 cm to represent 50 km

Now, when we measure the distance between K and L on the map, we see that it gives us a distance of 2 cm.

Using the scale of 1 cm: 50 km, we can say that:

Actual distance between towns K and L = (2 * 50)/1 = 100 km

b) Using a compass and it’s 3cm aiming down {South} as seen in the attached photo. Then a line was drawn aiming {South} with a ruler. On the end of the line the (x) point was put there to get the mark.

c) Measuring the angle gives the bearing of town L from town K which is 117 degrees.

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Answer:

irrational duh

Step-by-step explanation:

Answer:

31, 65, 146

Step-by-step explanation:

math

Let's first express v1 and v2 in their rectangular form using the trigonometric identity:

cos(θ) + i sin(θ) = e^(iθ)

where θ is the angle of the complex number.

For v1 = v1/26°, we have:

v1 = |v1| cos(26°) + i |v1| sin(26°) = |v1| e^(i26°)

Similarly, for v2 = v2/55°, we have:

v2 = |v2| cos(55°) + i |v2| sin(55°) = |v2| e^(i55°)

Now, to find the angle of the product v1 v2, we can simply add the angles of v1 and v2:

θ = 26° + 55° = 81°

So the angle of the product v1 v2 is 81°. However, we need to make sure that v1 v2 is a positive complex number. This is equivalent to checking that the angle of v1 v2 lies in the first or fourth quadrant (since the angles of v1 and v2 are both in the first and second quadrants).

The smallest possible angle in the first or fourth quadrant is 0°, which occurs when v1 and v2 are both real and positive. Therefore, the smallest possible angle of the complex value v1 v2 is 81°, but only if both v1 and v2 are positive real numbers.

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i cant see the question good enough

Answer:

1. y = 2x

2. y = 1/5x

Step-by-step explanation:

To write the equation of the line we need to find the slope and the y-intercept.

1. slope = y/x

4/2 = 2

y = 2x or y = 2x + 0

2.

1/5

y = 1/5x

The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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Answer:

Jalen

Step-by-step explanation:

Similar rectangles have the same ratio, not the same size

This is the number 27 thousand

==============================================

Explanation:

There are three slots and 30 choices per slot. Repeats are allowed.

So there are 30*30*30 = 27,000 different locker combos.

In a given linear regression model with given features/predictors, we can compute its coefficients (which multiply corresponding features) by using a mathematical formula called the "ordinary least squares" method. This method finds the best-fit line through the data by minimizing the sum of the squared errors between the predicted values and the actual values.

The resulting coefficients represent the slope of the line for each feature, indicating the strength and direction of the relationship between that feature and the target variable. These coefficients can be used to predict future values of the target variable based on the values of the input features.

Thus, In a given linear regression model with given features/predictors, we can compute its coefficients (which multiply corresponding features) by using the following steps:

1. Organize the data: Arrange the dataset into a matrix (X) containing the features/predictors and a vector (y) containing the target variable.

2. Standardize the data (optional): If the features have different scales, standardize them by subtracting their mean and dividing by their standard deviation.

3. Calculate the coefficient matrix: Compute the coefficients by using the formula:

  β = (X^T * X)^(-1) * X^T * y

  where:
  - β is the coefficient vector (includes coefficients for each feature/predictor)
  - X^T is the transpose of the matrix X
  - (X^T * X)^(-1) is the inverse of the product of X^T and X

4. Interpret the coefficients: The resulting coefficients represent the relationship between each feature/predictor and the target variable. A positive coefficient indicates a positive correlation, while a negative coefficient indicates a negative correlation.

By following these steps, you can compute the coefficients of a linear regression model and understand the relationship between the features/predictors and the target variable.

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Answer:

15 (C)

//msg added cus it was short//

Answer:

Step-by-step explanation:

5

Answer:

\( \huge{ \bold{ \boxed{ \tt{g = 5}}}}\)

Step-by-step explanation:

\( \text{125 = 25g}\)

Swap the sides of the equation

\( \text{⇢ \: 25g = 125}\)

Divide both sides by 25

\( \rm{⇢ \: \frac{25g}{25} = \frac{125}{25} }\)

\( \rm{⇢ \: g = 5}\)

And, we're done! :D

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

5 1/2

Step-by-step explanation:

The probability that chad gets at least 2 heads on 3 flips is 1/2 which was found using the sample space.

Given: To decide who will pay for lunch, Jeff and Chad decide to flip a coin three times. Chad chooses heads, and in order to win and have Jeff pay for his lunch, he must get heads at least twice out of three times.

Let,

H = Heads

T = Tails

Sample space =  {HHH, HTH,THH,TTH, HHT, HTT,THT,TTT​}

Total number of possible outcomes = 8

Probability that chad gets at least 2 heads is given as:

P(A)=P(getting two heads)+P(getting 3 heads)

= 3/8 + 1/8

= 4/8

= 1/2

Therefore,  the probability chad gets at least 2 heads on 3 flips is 1/2 which was found using the sample space.

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Answer: $0.12

Step-by-step explanation:

50x = 6

Use x as your variable

A) the developer's claim is supported by the data.

B) we can be 90% confident that the true mean difference in nicotine content between the two filters falls between -2.99 milligrams and 5.63 milligrams.

A) Significance test at the 5% level: As per the question, The developer for a new filter for filter-tipped cigarettes claims that it leaves less nicotine in the smoke than does the current filter.

Because cigarette brands differ in a number of ways, he tests each filter on one cigarette of each of nine brands and records the difference between the nicotine content for the current filter and the new filter.

The mean difference for the sample is 1.321 milligrams, and the standard deviation of the differences is s=2.35 mg.

At the 5% level of significance, H0:μd≥0 ( The null hypothesis)H1:μd<0 ( The alternative hypothesis) Where,μd is the population mean difference in nicotine content between the two filters.

Let’s calculate the t-statistic.t = (x - μ) / (s / √n)t = (1.321 - 0) / (2.35 / √9)t = 4.53

Using a t-distribution table with df = n - 1 = 8 at the 5% level of significance, the critical value is -1.86

Since the calculated t-value, 4.53, is greater than the critical t-value, -1.86, there is sufficient evidence to reject the null hypothesis.

Therefore, the data provides enough evidence to support the claim that the new filter leaves less nicotine in the smoke than does the current filter.

Thus, the developer's claim is supported by the data.

B) Confidence interval for the mean amount of additional nicotine removed by the new filter: We know that,The mean difference of the sample is 1.321 milligrams and the standard deviation is s=2.35 mg, for a sample size of n=9.We can calculate a 90% confidence interval for the true mean difference μd as follows:90% CI = (x - tα/2, s/√n, x + tα/2, s/√n)

Here,α = 0.10, n = 9, s = 2.35, and x = 1.321

The t-value can be found using a t-distribution table with df = n - 1 = 8:tα/2 = 1.86

Substituting the values into the formula,90% CI = (1.321 - 1.86(2.35 / √9), 1.321 + 1.86(2.35 / √9))90% CI = (-2.99, 5.63)

Therefore, we can be 90% confident that the true mean difference in nicotine content between the two filters falls between -2.99 milligrams and 5.63 milligrams.

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Answer:

D. 38.5 sq. units

Step-by-step explanation:

The formula for the area of a triangle is A=bh(1/2)

So to solve, first multiply the base, by the height: 11*7=77

Then, multiply by 1/2 or divide by 2.

You get 38.5

That's your answer!

Hope this helps!

Answer:

The formula for the point biserial correlation coefficient is:

point biserial correlation formula

M1 = mean (for the entire test) of the group that received the positive binary variable (i.e. the “1”).

M0 = mean (for the entire test) of the group that received the negative binary variable (i.e. the “0”).

Sn = standard deviation for the entire test.

p = Proportion of cases in the “0” group.

q = Proportion of cases in the “1” group.

Most people won’t work this formula by hand as most statistical software packages can calculate the coefficient for you.

The initial cost, which is zero, is 4.25 less than the plotted value of the stock, which is 4.25. So, "The stock is equation  4.25 less than the initial value, and the absolute value is 4.25" is the right response.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

Based on the information provided, a vertical number line with tick marks every half unit starts at minus 7 and goes all the way up to 0. The number line displays the value of the negative 4.25.

The initial cost, which is zero, is 4.25 less than the plotted value of the stock, which is 4.25. So, "The stock is 4.25 less than the initial value, and the absolute value is 4.25" is the right response.

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Answer:

f(y + 2) = 5y - 10

Step-by-step explanation:

To evaluate f(y + 2), substitute x = y + 2 into f(x), that is

f(y + 2) = 5(y + 2) - 20

           = 5y + 10 - 20

           = 5y - 10

The value of the contour surface passing through the point (1, 0, 2) is ψ(1, 0, 2) = 1^2 + 2e^0 = 1 + 2 = 3.

To find the points on the curve where the tangent is horizontal, we need to determine the values of t that satisfy the condition for a horizontal tangent, which is when the derivative of y with respect to t is equal to 0.

Given the parametric equations:

x = 2t^3 + 3t^2 - 12t

y = 2t^3 + 3t^2 + 1

Taking the derivative of y with respect to t:

dy/dt = 6t^2 + 6t

Setting dy/dt equal to 0 and solving for t:

6t^2 + 6t = 0

t(6t + 6) = 0

From this equation, we have two possible solutions:

t = 0

6t + 6 = 0, which gives t = -1.

Therefore, the points on the curve where the tangent is horizontal are (0, y(0)) and (-1, y(-1)). To find the corresponding y-values, substitute the values of t into the equation for y:

For t = 0:

y(0) = 2(0)^3 + 3(0)^2 + 1 = 1

For t = -1:

y(-1) = 2(-1)^3 + 3(-1)^2 + 1 = -2 + 3 + 1 = 2

Hence, the points on the curve where the tangent is horizontal are (0, 1) and (-1, 2).

To find the points on the curve where the tangent is vertical, we need to determine the values of t that satisfy the condition for a vertical tangent, which is when the derivative of x with respect to t is equal to 0.

Taking the derivative of x with respect to t:

dx/dt = 6t^2 + 6t - 12

Setting dx/dt equal to 0 and solving for t:

6t^2 + 6t - 12 = 0

t^2 + t - 2 = 0

(t + 2)(t - 1) = 0

From this equation, we have two possible solutions:

t + 2 = 0, which gives t = -2

t - 1 = 0, which gives t = 1.

Therefore, the points on the curve where the tangent is vertical are (x(-2), y(-2)) and (x(1), y(1)). To find the corresponding x-values and y-values, substitute the values of t into the equations for x and y:

For t = -2:

x(-2) = 2(-2)^3 + 3(-2)^2 - 12(-2) = -16 + 12 + 24 = 20

y(-2) = 2(-2)^3 + 3(-2)^2 + 1 = -16 + 12 + 1 = -3

For t = 1:

x(1) = 2(1)^3 + 3(1)^2 - 12(1) = 2 + 3 - 12 = -7

y(1) = 2(1)^3 + 3(1)^2 + 1 = 2 + 3 + 1 = 6

Hence, the points on the curve where the tangent is vertical are (20, -3) and (-7, 6).

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Answer: its (4f 5) ^3

Step-by-step explanation: