A 4-pint carton of frozen yogurt costs $11.88. What is the price per quart?

Answer:

The answer is $7.05.

Hope it helps.

Step-by-step explanation:

Okay so Amy bought 5 shirts for $10.59 EACH.

So what we have to do is $10.59 x 5 which equals to $52.95. The final step is to take away $60.00 from $52.95. $60.00 - $52.59 = $7.05.

So Amy gets $7.05 change back.

PDF of Y is  (1/π + л) × (1/w) × (-1/R) × sin((1/w) × (arccos(y/R) - o)). CDF of Y is (1/π + л) × [(1/w) × (arccos(y/R) - o) + л]. Mean of the transformed random variable Y is ∫[(-R, R)] y × [(1/π + л)×(1/w)×(-1/R)×sin((1/w)×(arccos(y/R) - o))]dy.

a. To find the cumulative distribution function (CDF) and probability density function (PDF) of the transformed random variable Y = g(X) = Rcos(wX + o), we need to consider the properties of the cosine function and the distribution of X.

Since X is uniformly distributed in the interval (-л, π), its PDF is given by:

f_X(x) = 1/(π + л), for -л ≤ x ≤ π

To find the CDF of Y, we can use the transformation method:

F_Y(y) = P(Y ≤ y) = P(Rcos(wX + o) ≤ y)

Solving for X, we have:

cos(wX + o) ≤ y/R

wX + o ≤ arccos(y/R)

X ≤ (1/w) × (arccos(y/R) - o)

Using the distribution of X, we can express the CDF of Y as:

F_Y(y) = P(Y ≤ y) = P(X ≤ (1/w) × (arccos(y/R) - o))

        = (1/π + л) × [(1/w) × (arccos(y/R) - o) + л]

To find the PDF of Y, we can differentiate the CDF with respect to y:

f_Y(y) = d/dy [F_Y(y)]

      = (1/π + л) × (1/w) × (-1/R) × sin((1/w) × (arccos(y/R) - o))

b. To find the mean of the transformed random variable Y, we integrate Y times its PDF over its entire range:

E[Y] = ∫[(-R, R)] y × f_Y(y) dy

     = ∫[(-R, R)] y × [(1/π + л) × (1/w) × (-1/R) × sin((1/w) × (arccos(y/R) - o))] dy

c. To find the variance of the transformed random variable Y, we need to calculate the second central moment:

Var[Y] = E[(Y - E[Y])^2]

      = ∫[(-R, R)] (y - E[Y])² × f_Y(y) dy

The standard deviation of Y is then given by taking the square root of the variance.

d. The moment generating function (MGF) and characteristic function of the transformed random variable Y can be found by taking the expectation of \(e^{(tY)} and e^{(itY)}\), respectively, where t and θ are real-valued parameters:

\(MGF_{Y(t)} = E[e^{(tY)}]\)

      \(= \int [(-R, R)] e^{(ty)} \times f_Y(y) dy\)

If the MGF does not exist, we can use the characteristic function instead:

φ_Y(θ) = \(E[e^{(i\theta Y)}]\)

       =\(\int [(-R, R)] e^{(i\theta y)} \times f_Y(y) dy\)

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Answer:

(320 + 40π) cm^3

Step-by-step explanation:

You can refer to the photo I attached

To calculate the sales tax on a $15,000 car with a 5% sales tax rate, you convert the percentage into decimal form, and then multiply by the purchase price. This calculation results in $750 making the correct answer option c).

The subject of this question is calculating the amount of sales tax for a purchase, specifically, a car. In this case, the sales tax is given as 5% of the purchase price. The purchase price of the car is $15,000.

Calculating the sales tax involves multiplying the purchase price by the sales tax rate (expressed as a decimal). Therefore, to determine the sales tax on this purchase:

The sales tax on a $15,000 car at a rate of 5% is thus $750. That makes choice c) the correct answer.

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Answer:

500 would be the answer of this question but it is also the standard form of this question

The equation of the line passing through the points (0,-2) and (2,0) is y = x - 2.

An equation is a mathematical statement that shows that two expressions are equal. It typically consists of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, and division, and can be represented using symbols and/or words. Equations are used to solve problems in mathematics, science, engineering, and other fields.

In the given question,

We can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

First, we need to find the slope of the line passing through the points (0,-2) and (2,0):

slope = (change in y)/(change in x)

slope = (0 - (-2))/(2 - 0)

slope = 2/2

slope = 1

Now that we have the slope, we can use one of the given equations and substitute the coordinates of one of the points to find the y-intercept:

y = mx + b

-2 = 1(0) + b

b = -2

So the equation of the line passing through the points (0,-2) and (2,0) is y = x - 2.

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The factorise form of the trinomial  6x² + 11x - 10 is (3x - 2)(2x + 5).

Trinomials is a polynomial that has three terms. Let's factorise the trinomial by grouping as follows:

6x² + 11x - 10

The grouping method can be used to factor polynomials whenever a common factor exists between the groupings.

Hence, let's find the factor of 6x² + 11x - 10

6x² + 11x - 10

let's find two numbers we can multiply to get -60 and add to get 11.

6x² + 15x - 4x - 10

3x(2x + 5) - 2(2x + 5)

Hence,

(3x - 2)(2x + 5)

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The correct answer to the question is option a) influential observation. An influential observation is an observation that has a significant impact on the regression results, meaning that if it is removed, the regression equation and the coefficients can change significantly.

In other words, it can have a strong effect on the fit of the regression model.
For instance, an influential observation could be an outlier, a point that deviates significantly from the general pattern of the data. This point can affect the slope and intercept of the regression line, and therefore the predictions and inference based on the model. Another example of an influential observation could be a point that has a high leverage, meaning that it has a high leverage on the estimated coefficients due to its position in the predictor space.
Therefore, it is essential to detect and address influential observations when building regression models to ensure that the results are reliable and valid. Techniques such as Cook's distance and leverage plots can be used to identify influential observations and various methods can be employed to deal with them, such as removing them, transforming the data, or using robust regression techniques.

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Answer:

989cm

Step-by-step explanation:

103, 131, 149, 111

Bottom length = 103 + 149 = 253

Left height = 131 + 111 = 242

103 + 131 + 149 + 111 + 253 + 242 = 989

Answer:

the 4th one

I think

The best interpretation of these data is that there is a direct relationship between number of hours studied and the score on the test.

The correlation coefficient r measures the strength and direction of a linear relationship between two variables. In this case, the positive value of r = .59 indicates a direct (or positive) relationship between number of hours studied and the score on the test. This means that as the number of hours studied increases, the score on the test tends to increase as well.

Therefore, we can conclude that more study leads to a higher score on the test.

Option 1 and 2 are correct interpretations, while options 3 and 4 are incorrect. Option 3 implies a negative correlation coefficient, while option 4 implies an inverse relationship between the variables, which is not the case here.

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Answer: 10 liters

Step-by-step explanation:

Let the number of liters of 10% solution be \(x\).

\(0.10x+5(0.25)=0.15(x+5)\\\\0.10x+1.25=0.15x+0.75\\\\1.25=0.05x+0.75\\\\0.05x=0.50\\\\x=10\)

To find the probability that a wedding costs between $20,000 and $30,000, we need to calculate the area under the normal distribution curve within that range. The probability that a wedding costs between $20,000 and $30,000 is approximately 0.5586.

We will use the z-score formula to standardize the values. First, we calculate the z-score for $20,000:

z = (X - μ) / σ

z = (20000 - 29858) / 5600

z ≈ -1.75

Next, we calculate the z-score for $30,000:

z = (X - μ) / σ

z = (30000 - 29858) / 5600

z ≈ 0.25

Now, we can look up the corresponding probabilities using a standard normal distribution table or a calculator.

The probability that a wedding costs less than $20,000 can be found by looking up the z-score of -1.75, which is approximately 0.0401.

The probability that a wedding costs less than $30,000 can be found by looking up the z-score of 0.25, which is approximately 0.5987.

To find the probability that a wedding costs between $20,000 and $30,000, we subtract the probability of the lower value from the probability of the higher value:

P(20000 < X < 30000) = P(X < 30000) - P(X < 20000)

= 0.5987 - 0.0401

≈ 0.5586

Therefore, the probability that a wedding costs between $20,000 and $30,000 is approximately 0.5586.

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Answer:

3

Step-by-step explanation:

Answer:

0,1,2,3,4

Step-by-step explanation:

trustttttt meee

Answer:

x = 36.9°

Step-by-step explanation:

We need to find out what sides of the triangle we have, so we can find the formula for the missing angle, x.

We have been given the opposite and hypotenuse so we are using sine

SOH, CAH, TOA

sin (x) = opp ÷ hyp

Substitute in the values

sin (x) = 9 ÷ 15

Simplify

sin (x) = 0.6

Rearrange to find x

x = sin^-1(0.6) - Type this into your calculator

x = 36.8698... ≈ 36.9°

Answer:

h = 2

Step-by-step explanation:

5(1+2h)+4h = 33

5+10h+4h = 33

14h = 33-5

14h = 28

h = 28/14

h = 2

Hope this helped!

Answer:

The value of h is h = -1.5

Step-by-step explanation:

The quadratic equation is represented by a parabola, the vertex form of the equation is y = a(x - h)² + k, where

(h , k) are the coordinates of its vertex point

a is the coefficient of x²

∵ The graph is a parabola opens up

∵ It has a vertex at (-1.5, 0)

∵ The vertex of the parabola is (h , k)

∴ h = -1.5 and k = 0

∵ The graph shows f(x) = (x - h)²

∵ The coordinates of the vertex are (h , k)

∵ h = -1.5 and k = 0

∴ h = -1.5

The value of h is h = -1.5

The value of h is h = -1.5

We have given that,

On a coordinate plane, a parabola opens up and goes through (negative 2, 5), has vertex (0, 1), and goes through (2, 5). Another parabola opens to the right and goes through (8, 4), has vertex (negative 8, 0), and goes through (8, negative 4).

The quadratic equation is represented by a parabola,

The  vertex form of the equation is y = a(x - h)² + k, where

(h, k) are the coordinates of its vertex point

a is the coefficient of x²

∵ The graph is a parabola that opens up

∵ It has a vertex at (-1.5, 0)

∵ The vertex of the parabola is (h , k)

∴ h = -1.5 and k = 0

∵ The graph shows f(x) = (x - h)²

∵ The coordinates of the vertex are (h, k)

∵ h = -1.5 and k = 0

∴ h = -1.5

The value of h is h = -1.5.

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Answer:

13

Step-by-step explanation:

Since all the sides of a cube are equal, one single side will be the cube root of the volume i.e,2197 to give me 13

Answer: k(8z - 2)=448z^2-224z+35

z(q^2)​=-10q^4 - 5

Step-by-step explanation:

k(z) = 7z^2 + 7

k(8z - 2)=7(8z - 2)^2 + 7

k(8z - 2)=7(8z - 2)(8z - 2) + 7

k(8z - 2)=7(64z^2-16z-16z+4) + 7

k(8z - 2)=7(64z^2-32z+4) + 7

k(8z - 2)=7(64z^2-32z+4+1)     ==> 7*1=7, so +1 is added in parentheses while +7 is removed outside of parentheses.

k(8z - 2)=7(64z^2-32z+5)

k(8z - 2)=448z^2-224z+35

z(q) = -10q^2 - 5

z(q^2)​=-10(q^2)^2 - 5

z(q^2)​=-10(q^(2*2)) - 5

z(q^2)​=-10q^4 - 5

a: 4 maybe

b: origin?

I don't know if right, I am 10 and just started advanced math

A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test statistic for this test is a "F-statistics."

An F statistic is a value obtained after performing an ANOVA test or even a regression analysis to determine whether the means of two populations differ significantly.

Some key features regarding the F-statistics are-

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Answer: d) 0

Step-by-step explanation:

     With the inequality given, y ≤ -1, solutions are -1 and all numbers less than -1. We will check all the options to see which is not a solution.

     a) -3 ✓

           -> This is not our answer. -3 is less than -1.

     b) -1 ✓

           -> This is not our answer. -1 is equal to -1.

     c) -6 ✓

           -> This is not our answer. -6 is less than -1.

     d) 0 ✗

           -> This is our answer! 0 is not less than -1.

Answer:

The answer is d

The answer is 2.0625

Answer:

33/16=2.0625

Step-by-step explanation:

33/16=2 rounded to the nearest integer

33/16=2.1 rounded to 1 decimal place

33/16=2.06 rounded to 2 decimal places

33/16=2.063 rounded to 3 decimal places

33/16=2.0625 rounded to 4 decimal places

We can conclude that f(x) has exactly one critical point and that this point is a local minimizer but not a global minimizer.

To show that f(x) has exactly one critical point and that this point is a local minimizer but not a global minimizer, we need to find the first and second derivative of the function and analyze their behavior at the critical point.

First, let's find the first derivative of f(x):

f'(x) = (d/dx) f(x)

Next, let's find the critical point by setting f'(x) = 0 and solving for x:

0 = f'(x)

x = critical point

Now, let's find the second derivative of f(x):

f''(x) = (d/dx) f'(x)

Finally, let's analyze the behavior of f''(x) at the critical point. If f''(x) > 0 at the critical point, then the point is a local minimizer. However, if f''(x) < 0 at the critical point, then the point is not a global minimizer.

Therefore, we can conclude that f(x) has exactly one critical point and that this point is a local minimizer but not a global minimizer.

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Answer:

54 feet of yarn

Step-by-step explanation:

We have a conversion rate of

1 yard = 3 feet

Sarah has 4 pieces of yarn that are 6 yards each.

Hence,

1 yard = 3 feet

6 yards = x

Cross Multiply

x = 6 × 3 feet

x = 18 feet

Therefore, 4 pieces of yarn are 18 feet each

Hence, total feet of yarn above = 4 × 18 feet = 72 feet

She uses 9 pieces of yarn that are each 2 feet long.

Total feet of yarn here is:

9 × 2 feet = 18 feet of yarn

Therefore, the amount of yarn Sarah have left is calculated as:

72 feet - 18 feet

= 54 feet of yarn

Answer:

3rd one 1000 times greater

Step-by-step explanation:

first you make 10^9 into 1000000000 then you make 10^6 into 1000000 then you divide them both and you get 1000

Answer:

The answer is down below:

Step-by-step explanation:

Notebook: 22-x

Pens: (22 - x - 2) x 3.

Pencils: 22 - x - 2.

We use x for notebooks because it is the only item that doesn't have an "equation" for us to solve so we use "x" instead. hope this helped you out.

Notebook: 22-x

Pens: (22 - x - 2) x 3.

Pencils: 22 - x - 2.

We use x for notebooks because it is the only item that doesn't have an "equation" for us to solve so we use "x" instead. hope this helped you out .Notebook: 22-x