A coffee shop sells coffee, tea and pastries. The owner analysed her profits from the shop this week and found that
two-fifths of the profit was from the sale of collee and one third of the profit was from the sale of pastries. The rest of
the profit was from the sale of tea.
What fraction of the colfee shop's profit was from the sale of tea?

Answer:

$940

Step-by-step explanation:

Let gross pay = x

60% of x = x * 60/100

60% of x = x * 3/5

60% of x = 3x/5

Gross pay = Deduction + 376

x=3x/5 + 376

Multiply by 5 both sides of above equation

5x=3x + 1880

5x-3x=1880

2x=1880

Divide by 2 both sides of the above equation

2x/2=1880/2

x=940

Gross pay = 940$

Answer:

1/3

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

1 1/3 = 4/3        4 = 4/1

4/3  /  4/1     = 4/3  X 1/4  =  4/12 = 1/3

Ernest hypothesis is correct because the graph of an object that is resting is horizontal.

Emma's hypothesis is incorrect because the graph of an object that is moving is an inclined line.

In the graph we see a horizontal line between 120 and 150 min, the the object is resting.

Ernest hypothesis is correct.

Answer:

The angle of DGC is 90 degrees

the value of x is positive 8

Step-by-step explanation:

xoxo brooke

The percentage of runners having times less than 14.4 sec is 0.15%. Then the correct option is A.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The times of all 15-year-olds who run a certain race are approximately normally distributed with a given mean (μ) = 18 sec and standard deviation (σ) = 1.2 sec.

The runners have times less than 14.4 sec.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

\(\rm z-score = \dfrac{X - \mu}{\sigma }\\\\z-score = \dfrac{14.4- 18}{1.2}\\\\z-score = -3\)

Then the Percentage will be

\(\rm P(X < 14.4) = P(z < -3) = 0.0013499 = 0.13499\ \% \approx 0.15\ \%\)

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Under the Binomial and Poisson distributions gives approximate result is p → 0 n → ∞.

Unlike, in the case of a Binomial distribution, for a Poisson distribution, the knowledge of number of trials to get the observed number of successes is not required. The Poisson distribution has only one parameter namely “m” the mean number of successes per given unit of time.

The Poisson distribution is often taken as a limiting case of Binomial distribution, under the following conditions.

The number of trails is indefinitely large i.e., n → ∞

The probability of success, “p” is very small i.e., p → 0

np is finite i.e., np = m where p = m/n and q = 1 – m/n and m > 0.

However, it is not defined if “n” is large means how large and “p” is closed to zero means how small? It is left to the readers to assume how large n should be and how small p should be? As mentioned earlier, the Poisson distribution is often described as a limiting case of Binomial distribution.

Based on the results of the study , published by me clearly proves that even when 10 ≤ n ≤50 and p ≤ 0.2, the Poisson distribution can be a good approximation to Binomial distribution.

Hence the answer is Under the Binomial and Poisson distributions gives approximate result is p → 0 n → ∞.

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When two angles in a plane share a vertex and a side but no common interior points, they are called adjacent angles

The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.

Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

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Answer:

36

Step-by-step explanation:

She kniited a blanket with a certain area with 4 balls.

The new blanket will 3x3 =9 times as much area, so 9 x4 = 36 balls of yarn

After d days, the number of lily pads in the pond can be calculated using the formula 2^d. So, if d is the number of days, then the number of lily pads after d days would be 2^d.

Each day, the number of lily pads doubles. So, on the first day, there is 1 lily pad. On the second day, the number doubles to 2. On the third day, it doubles again to 4, and so on. This doubling pattern continues for d days.

To calculate the number of lily pads after d days, we raise 2 to the power of d (2^d). This is because each day, the number of lily pads doubles, which can be represented as 2^1, 2^2, 2^3, and so on. By substituting the value of d into the equation, we can find the number of lily pads after d days.

For example, if d = 5, then the number of lily pads after 5 days would be 2^5 = 32. This means that there would be 32 lily pads in the pond after 5 days.

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Answer:

x = 11

y = 3

Step-by-step explanation:

ΔTUV ≅ Δ HJK

JK = UV    {Corresponding parts of congruent triangles}

2x - 4 = 18

      2x = 18 + 4

      2x = 22

         x = 22/2

         x =  11

HK = TV

6y - 5 = 4y + 1           {Subtract 4y form both sides}

6y - 5 - 4y = 1

      2y - 5 = 1        {Add 5 to both sides}

           2y = 1 + 5

          2y = 6

            y = 6/2

            y = 3

The value of y in the given coordinate points is 5.

The value of y in the given coordinate points is calculated as follows;

Point (5,1) is equidistant from (1,y) and (10, -3).

The value of y is calculated as follows;

(x₁ + x₂)/2, (y₁ + y₂)/2 = (5, 1)

(y - 3)/2 = 1

y - 3 = 2

y = 5

The coordinates points are (1, 5) and (10, - 3)

Thus, the value of y in the given coordinate points is 5.

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Yes, because\(np0 > 10\)and \(n(1-p0) > 10\).

Thus, the sampling distribution of p-hat is approximately normal, given the conditions of \(np0 > 10 and n(1-p0) > 10.\)

This is because the sampling distribution of p-hat follows the Central Limit Theorem, which states that when sample sizes are greater than 30,

the sampling distribution of the sample proportion will be approximately normal. The Central Limit Theorem is used in this example because the number of BYU students from Texas (n) is greater than 30, so the sample proportion (p-hat) is normally distributed.

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Amelia paid a total fine of £1.44 for returning the DVD 16 days overdue.

To calculate the total fine paid by Amelia, we need to determine the number of days the DVD was overdue and then multiply that by the fine rate.

The rental period for the DVD is from 26 November to 12 December. To find the number of days overdue, we subtract the due date from the actual return date:

12 December - 26 November = 16 days

Since the fine rate is 9p per day, we multiply the number of days overdue by the fine rate:

16 days × £0.09/day = £1.44

Therefore, Amelia paid a total fine of £1.44 for returning the DVD 16 days overdue.

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The value of the function for f(5) is 15,651.

The given function is \(f(x)=x^{6}+x^{2} +1\).

We need to find the value of f(5).

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.

Now, put x=5 in the function \(f(x)=x^{6}+x^{2} +1\) and simplify.

That is, f(5)=\(5^{6} +5^{2} +1\)

=15,625+25+1

=15,651

Therefore, the value of the function for f(5) is 15,651.

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Answer: 6

Step-by-step explanation:

40x0.15

6 are teens

Answer:

3

Step-by-step explanation:

9/15 = x/5

15 = 3 x 5

9 = 3 x 3

Common factor is 3:

9/15 divided by 3 = 3/5

where x = 3

therefore the answer is : 3

The main condition for a setting to be considered binomial is that the probability of success remains the same for each trial, and the other conditions include having 3 possible outcomes for each observation, no variation in outcomes based on the first success, and independence of trials from one another.

A condition for a setting to be considered binomial is that the probability of success is the same for each trial.

In order for a setting to be considered binomial, there are certain conditions that need to be met. The first condition is that the probability of success remains constant for each trial or observation. This means that the likelihood of achieving the desired outcome remains unchanged throughout the entire process.

The second condition states that each observation or trial must have exactly 3 possible outcomes. This implies that there are only three options or choices for each trial, typically categorized as success, failure, or a neutral outcome.

The third condition is that the number of outcomes should not vary based on the occurrence of the first success. This means that the probability of success is not affected or altered by the outcome of previous trials.

Lastly, the fourth condition is that the trials or observations must be independent of one another. This implies that the outcome of one trial should not impact the outcome of subsequent trials.

Therefore, the main condition for a setting to be considered binomial is that the probability of success remains the same for each trial, and the other conditions include having 3 possible outcomes for each observation, no variation in outcomes based on the first success, and independence of trials from one another.

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Answer:

no se, pero necesito puntos

Step-by-step explanation:

:)

Answer:

3 is 75

4 is 124

5 is 61

Step-by-step explanation:

for number 4 angles 6 and 8 are supplementary so they add up to equal 180

if they said that 6=56 then we we subtract 56 from 180

180-56=124 so angle 8 equals 124

for number 5 angles 3 and 5 are also supplementary so the values combined will ad up to equal 180. If they say that angle 5 is equal to 119 then all we have to do to get the value of angle 3 is subtract 119 from 180

180-119-61 so angle 3 equals 61

hope this helps :D

The value of tanθ = ±∞ or tanθ = ±√(7/5)

The question is a trigonometric equation

A trigonometric equation is an equation that has unknowns that contain trigonometric ratios.

Given the trigonometric equation 7cosec²θ - 9cot²θ = 7, we require tanθ.

So, 7cosec²θ - 9cot²θ = 7

using the trigonometric identity 1 + cot²θ = cosec²θ.

Substituting this into the equation, we have

7cosec²θ - 9cot²θ = 7

7(1 + cot²θ)² - 9cot²θ = 7

7(1 + 2cot²θ + cot⁴θ) - 9cot²θ = 7

7 + 14cot²θ + 7cot⁴θ - 9cot²θ = 7

14cot²θ + 7cot⁴θ - 9cot²θ = 7 - 7

14cot²θ + 7cot⁴θ - 9cot²θ = 0

7cot⁴θ + 14cot²θ - 9cot²θ = 0

7cot⁴θ + 5cot²θ = 0

Factorizing out cot²θ, we have

cot²θ(7cot²θ - 5) = 0

⇒ cot²θ = 0 or 7cot²θ - 5 = 0

⇒ cotθ = ±√0 or 7cot²θ = 5

⇒ cotθ = ±0 or cot²θ = 5/7

⇒ cotθ = ±0 or cotθ = ±√(5/7)

⇒ 1/tanθ = ±0 or 1/tanθ = ±√(5/7)

⇒ tanθ = ±1/0 or tanθ = ±√(7/5)

⇒ tanθ = ±∞ or tanθ = ±√(7/5)

So, the value of tanθ = ±∞ or tanθ = ±√(7/5)

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Let's call the length of the shorter leg "x". According to the problem, the length of the longer leg is 3 feet more than 3 times the length of the shorter leg. So, the length of the longer leg can be expressed as 3x + 3.

The length of the hypotenuse is 4 feet more than 3 times the length of the shorter leg, which can be expressed as 3x + 4. Now we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse.

So we have:  x^2 + (3x+3)^2 = (3x+4)^2 , Expanding and simplifying: x^2 + 9x^2 + 18x + 9 = 9x^2 + 24x + 16
Combining like terms: 10x^2 - 6x - 7 = 0 , Using the quadratic formula: x = (6 ± sqrt(6^2 - 4(10)(-7))) / (2(10)) x = (6 ± sqrt(316)) / 20 , x ≈ 0.554 or x ≈ -1.271 . We can't have a negative length, so we'll use x ≈ 0.554.

Now we can find the other side lengths: Longer leg = 3x + 3 ≈ 4.662 , Hypotenuse = 3x + 4 ≈ 5.662 ,So the side lengths of the triangle are approximately: Shorter leg ≈ 0.554 ft , Longer leg ≈ 4.662 ft .Hypotenuse ≈ 5.662 ft.

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The dimensions of the scale model of your room would be 3/4 inch represents 1 foot. To determine the dimensions of the scale model, we need to apply the scale ratio of 3/4 inch represents 1 foot.

Let's assume the length and width of your actual room are L feet and W feet, respectively. To find the dimensions of the scale model, we can multiply the actual dimensions by the scale ratio.

The length of the scale model would be L * (3/4) inch, and the width would be W * (3/4) inch.

For example, if your actual room is 12 feet long and 10 feet wide, the dimensions of the scale model would be:

Length of the scale model = 12 feet * (3/4) inch = 9 inches

Width of the scale model = 10 feet * (3/4) inch = 7.5 inches

Therefore, the scale model would have a length of 9 inches and a width of 7.5 inches, based on the given scale ratio.

It's important to note that when creating a scale model, maintaining the proportionality between the actual dimensions and the model dimensions is crucial to accurately represent the physical space in a smaller scale.

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Answer: 39 years old

Step-by-step explanation:

First find Sarah's age.

It is said that their ages sum up to 50 and that Sarah's mother is 28 years older than Sarah.

Assume Sarah's age is x.

Sarah's mother's age would be: x + 28.

The expression would therefore be:

x + (x + 28) = 50

2x + 28 = 50

2x = 50 - 28

x = 22/2

x = 11

Sarah is 11 which means her mom is:

= 11 + 28

= 39 years old

The function v(x1, x2) returns the minimum value between u1(x1, x2) and u2(x1, x2), allowing us to determine the more cautious or conservative option among the two functions.



The function v(x1, x2) is defined as the minimum value between two other functions u1(x1, x2) and u2(x1, x2). It takes two input variables, x1 and x2, and returns the smaller of the two values obtained by evaluating u1 and u2 at those input points.In other words, v(x1, x2) selects the minimum value among the outputs of u1(x1, x2) and u2(x1, x2). This function allows us to determine the lower bound or the "worst-case scenario" between the two functions at any given point (x1, x2).

The function v can be useful in various contexts, such as optimization problems, decision-making scenarios, or when comparing different outcomes. By considering the minimum of u1 and u2, we can identify the more conservative or cautious option between the two functions. It ensures that v(x1, x2) is always less than or equal to both u1(x1, x2) and u2(x1, x2), reflecting the more pessimistic result among the two.



Therefore, The function v(x1, x2) returns the minimum value between u1(x1, x2) and u2(x1, x2), allowing us to determine the more cautious or conservative option among the two functions.

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The solution of x in the intersecting lines l, m, and n forming a triangle is 70

From the question, we have the following parameters that can be used in our computation:

The intersecting lines l, m, and n that form a triangle.

Using the sum of opposite internal angles of a triangle, we have the following equation

x = 30 + 40

Evaluate the sum of the expressions

So, we have the following representation

x = 70

Hence, the calculated measure of the angle x is 70 degrees

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Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

Answer:

-3q

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

5q + -8q

Step 2: Simplify

Answer:

3x−5y=6⇒y=35x−65 . If you have y=mx+c then intercept is c . So intercept is −65 .

Monique's solution is accurate. Monique made an error when listing the factors, which affected the GCF and the factored expression

The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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The possible first coordinate x with a slope of 3 is equal to -13/3.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided, we can logically deduce the following data points and slope on the line:

Substituting the given data points into the slope formula, we have the following;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

3 = (4 - 8)/(x + 3)

3x + 9 = -4

3x = -13

x = -13/3

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