A woman went shopping and spent 2/3 of all the money she had. Then she lost 3/5 of what she had left after shopping. How much money did she have in the beginning if she now has $10.00.

Answer:

An equation is expressed or defined by an equals to sign (i.e. =).

Thus,

11 - is an equation.

12 - is an expression.

13 - is an equation.

14 - is an expression.

15 - is an expression.

16 - is an equation.

17 - is an expression.

18 - is an equation.

19 - is an equation.

20 - is an expression

Value of tan θ on the interval (270°, 360°) = -4/3

Pythagoras theorem states that in a right angled triangle, square of length of hypotenuse is equal to the sum of squares of lengths of other two sides, i.e. Perpendicular and base.

Given,

cosec θ = -5/4 on the interval (270°, 360°)

Given interval is on fourth quadrant.

Sine and cosecant are negative in fourth quadrant

cosec θ = -5/4

cosec θ = Hypotenuse/perpendicular

Comparing

Hypotenuse = 5

Perpendicular = 4

By Pythagoras theorem,

Base² = Hypotenuse² - Perpendicular²

Base² = (5)² - (4)²

Base² = 25 - 16

Base² = 9

Base = ±3

In fourth quadrant tangent is negative

tan θ = -4/3

Hence, -4/3 is the value of tan θ on the interval (270°, 360°).

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Answer:

Probability (Ball goes into hole) = 0.22388 or 22.388%

Step-by-step explanation:

Given:

Ball goes into hole = 15 times

Ball miss the hole = 52 times

Find:

Probability (Ball goes into hole)

Computation:

Total number of tries = 15 + 52

Total number of tries = 67

Probability (Ball goes into hole) = 15 / 67

Probability (Ball goes into hole) = 0.22388 or 22.388%

Answer:

C.

Step-by-step explanation:

The mean at Belmont is 16.75, the median is 15.5, and the mode is 13.

The mean at Tyler is 10.9, the median is 10.5, and the mode is 13, 10, and 6.

The local maximum and minimum values of the function are as follows: maximum at (smaller x value), minimum at (larger x value), and there are no saddle points.

To find the local maximum and minimum values of the function, we need to analyze its critical points, which occur where the partial derivatives are equal to zero or do not exist.

Let's denote the function as f(x, y) = -8 - 2x + 4y - x^2 - 4y^2. Taking the partial derivatives with respect to x and y, we have:

∂f/∂x = -2 - 2x

∂f/∂y = 4 - 8y

To find critical points, we set both partial derivatives to zero and solve the resulting system of equations. From ∂f/∂x = -2 - 2x = 0, we obtain x = -1. From ∂f/∂y = 4 - 8y = 0, we find y = 1/2.

Substituting these values back into the function, we get f(-1, 1/2) = -9/2. Thus, we have a local minimum at (x, y) = (-1, 1/2).

There are no other critical points, which means there are no local maximums or saddle points. Therefore, the function has a local minimum at (x, y) = (-1, 1/2) but does not have any local maximums or saddle points.

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Answer:

the value of pi is 3.14159

What is the question?

Answer:

hey thats kinda confusing but im sending this text insted of giving a wrong answer cuz i need points also SUB TO TECHNOBLADE

Step-by-step explanation:

The solution to the system is (x, y, z) = (6, 0, -2).

To solve the system, we can use the elimination method. First, we will eliminate x from the second and third equations by adding the first equation to them:

{5y - 10z = 20
{-3y + 4z = -8

Next, we will eliminate y from the second and third equations by subtracting the second equation from the third equation:

{15y - 30z = 60
{15y + 20z = -40
{-10z = 20

Now we can solve for z:
z = -2

Next, we can substitute z back into the second equation to solve for y:

5y - 10(-2) = 20
2y + 20 = 20
2y = 0
y = 0

Finally, we can substitute z and y back into the first equation to solve for x:

2x + 3(0) - 4(-2) = 20
2x + 8 = 20
2x = 12
x = 6

So the solution to the system is (x, y, z) = (6, 0, -2).

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There are 4 ice cream flavors :

chocolate (c), vanilla (v), moos tracks (m), and dark chocolate (d).

There are 3 types of sauces :

hot fudge (h), butterscotch (b), and strawberry (s).

There are 2 types of toppings :

whipped cream (w) and fruit (f)

The sample space are the combinations of ice cream flavors, sauces and toppings with one of each kind.

Listing down the sample spaces as {flavors, sauces, toppings}, will give us :

{c,h,w}, {c,h,f}, {c,b,w}, {c,b,f}, {c,s,w}, {c,s,f}

{v,h,w}, {v,h,f}, {v,b,w}, {v,b,f}, {v,s,w}, {v,s,f}

{m,h,w}, {m,h,f}, {m,b,w}, {m,b,f}, {m,s,w}, {m,s,f}

{d,h,w}, {d,h,f}, {d,b,w}, {d,b,f}, {d,s,w}, {d,s,f}

All in all, there are 24 sample spaces, which is also the product of 4 flavors, 3 sauces and 2 toppins (4 x 3 x 2 = 24)

Answer: True

Step-by-step explanation: This statement is true because when clusters are heterogeneous they are a "scaled-down version" of the population sampled. I hope this helped!

Answer:true

Step-by-step explanation:

The equation would be: y = 3 + x

To include the terms you mentioned, we can set up an equation to represent the relationship between the number of weeks Stacy volunteers (x) and the number of cards she has (y).

Since Stacy starts with 3 collector's cards and receives 1 more card each week she volunteers, the equation would be:

y = 3 + x

In this equation, x represents the number of weeks Stacy volunteers, and y represents the total number of collector's cards she has.

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Answer:

The answer to this question is 80 times.

Answer:

80

Step-by-step explanation:

The solution to the systems of equations graphically is (2, 4)

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

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Step-by-step explanation:

so it take 20 days for 8 boys

Answer:

8 boys is 20 days

Step-by-step explanation:

\(6 \: boys \: : \: 15 \: days \\ 8 \: boys \: : x \: days \\ 8 \times 15 = 6x \\ \frac{120}{6} = x \\ x = 20 \: days\)

hope this makes sense

:)

Answer:

208.7

Step-by-step explanation:

 510.75

- 302.05

= 208 .70

.

∑ Hey, avsofia10 ⊃

Answer:

208.7

Step-by-step explanation:

Given:

\(510.75-302.05\)

Solve:

\(\mathrm{line\:up\:the\:decimal\:points}\)

\(\frac{\begin{matrix}\:\:&5&1&0&.&7&\textbf{5}\\ -&3&0&2&.&0&\textbf{5}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\:\:&\textb\end{matrix}}\)

\(\mathrm{Subtract\:each\:column\:of\:digits,\:starting\:from\:the\:right\:and\:working\:left}\)

\(\frac{\begin{matrix}\:\:&5&1&0&.&7&\textbf{5}\\ -&3&0&2&.&0&\textbf{5}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\:\:&\textbf{0}\end{matrix}}\)                                                \(\mathrm{[5-5=0]}\)

\(\frac{\begin{matrix}\:\:&5&1&0&.&\textbf{7}&5\\ -&3&0&2&.&\textbf{0}&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\textbf{7}&0\end{matrix}}\)                                                \(\mathrm{[7-0=7]}\)

\(\mathrm{Place\:the\:decimal\:point}\)

\(\frac{\begin{matrix}\:\:&5&1&0&\textbf{.}&7&5\\ -&3&0&2&\textbf{.}&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{.}&7&0\end{matrix}}\)

\(\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number \:therefore\:borrow\:a\:digit\:from\:the\:left.}\)

\(\frac{\begin{matrix}\:\:&\:\:&\textbf{0}&10&\:\:&\:\:&\:\:\\ \:\:&5&\textbf{\linethrough{1}}&0&.&7&5\\ -&3&\textbf{0}&2&.&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\textbf{\:\:}&\:\:&\:\:&7&0\end{matrix}}\)

\(\frac{\begin{matrix}\:\:&\:\:&0&\textbf{10}&\:\:&\:\:&\:\:\\ \:\:&5&\linethrough{1}&\textbf{\linethrough{0}}&.&7&5\\ -&3&0&\textbf{2}&.&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{8}&.&7&0\end{matrix}}\)                                             \(\mathrm{[10-2=8]}\)

\(\frac{\begin{matrix}\:\:&\:\:&\textbf{0}&10&\:\:&\:\:&\:\:\\ \:\:&5&\textbf{\linethrough{1}}&\linethrough{0}&.&7&5\\ -&3&\textbf{0}&2&.&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\textbf{0}&8&.&7&0\end{matrix}}\)                                             \(\mathrm{[0-0=0]}\)

\(\frac{\begin{matrix}\:\:&\textbf{\:\:}&0&10&\:\:&\:\:&\:\:\\ \:\:&\textbf{5}&\linethrough{1}&\linethrough{0}&.&7&5\\ -&\textbf{3}&0&2&.&0&5\end{matrix}}{\begin{matrix}\:\:&\textbf{2}&0&8&.&7&0\end{matrix}}\)                                           \(\mathrm{[5-3=2]}\)

\(=208.7\)

\(\mathrm{Hence, 510.75-302.05=208.7}\)

xcookiex12

8/17/2022

Distribution agreements involve both parties mutually contributing to the distribution efforts.

A joint venture is another way of referring to a non-equity mode of entry with an alliance partner. An acquisition is another way of referring to an equity mode of entry, including, but not limited to, an acquisition. A license grants the right or permission to use the property, including intellectual property, of another. A distribution agreement is an agreement between at least two parties to join their efforts in an attempt to sell a product or service. The two main types of distribution agreements are sponsored and collaborative. In a sponsored distribution agreement, one party sponsors the other party's product or service, while in a collaborative distribution agreement, both parties work together to sell the product or service.

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Answer:

3+11x+11y-4x^2-8xy-4y^2

Step-by-step explanation:

Using the distributive property, we get 3+11x+11y-4x^2-8xy-4y^2

Answer:

144=12x+8y

x+y=14

Step-by-step explanation:

Answer:

12x + 8 (14 - x ) = $ 144

x + (14-x) = 14

Step-by-step explanation:

Total number of people = 14

Let the number of adults be x and the number of children be ( 14 - x)

Total cost for the group = $144

i.e., 12x + 8 ( 14-x) = 144

12x + 112 - 8x = 144

4x + 112 = 144

4x = 144-112

4x = 32

x = 32/4

x = 8

Number of adults = x = 8

Number of children = 14 - x = 14 - 8 = 6

Hope it helps : )

Answer:

81.8 kg

Step-by-step explanation:

To find the total mass you have to add both of their mass

46.2 kg+35.6 kg= 81.8 kg

Their total mass is 81.8 kg #

Answer:

The 1st option

Step-by-step explanation:

Remember BPEMDAS

B - Brackets

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

She has to first multiply and distribute first, not add. Adding comes last.

Answer:

The pattern is of +5,+10,+20,+40

As 7+5=12

12+10=22

22+20=42

So the next three numbers are

42+40=82

82+80=162

163+160=323

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Answer:

option 3

Step-by-step explanation:

Here are a few reasons why researchers exercise caution when interpreting statistical significance: Avoiding Type I and Type II errors, Generalizability, Replicability, Methodological limitations.

Researchers are careful about drawing conclusions regarding statistical significance because statistical significance is a measure of the likelihood that the observed results are not due to random chance. When conducting research, researchers aim to make inferences and draw conclusions based on evidence that is reliable and valid.

Here are a few reasons why researchers exercise caution when interpreting statistical significance: Avoiding Type I and Type II errors, Generalizability, Replicability, Methodological limitations.

Avoiding Type I and Type II errors: When testing hypotheses, there is always a possibility of making errors. Type I error occurs when a researcher mistakenly rejects a true null hypothesis (false positive), and Type II error occurs when a researcher fails to reject a false null hypothesis (false negative). By being cautious, researchers strive to minimize these errors and ensure that their conclusions are accurate.

Generalizability: Researchers often want to generalize their findings from a sample to a larger population. Statistical significance provides an indication of how likely the findings can be applied to the broader population. Drawing conclusions without considering statistical significance may lead to misleading or unreliable generalizations.

Replicability: Scientific research should be replicable, meaning that other researchers should be able to obtain similar results when conducting the same study. Statistical significance helps assess whether the observed effects are consistent and reproducible across different studies. Without proper consideration of statistical significance, it becomes difficult to determine if the results can be replicated reliably.

Methodological limitations: Research studies can have various limitations such as small sample sizes, confounding factors, measurement errors, or biases. By carefully assessing statistical significance, researchers can better understand the limitations of their study and make more informed conclusions.

In summary, researchers are cautious about drawing conclusions regarding statistical significance to ensure the validity, reliability, generalizability, and replicability of their findings. By exercising care in interpreting statistical significance, researchers aim to make robust and trustworthy conclusions based on the available evidence.

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Answer:

B

Step-by-step explanation:

The 3x3 matrix representing the composite 2D transformation of translating by (5,9) and then rotating 45° about the origin using homogeneous coordinates is: [ cos(45°) -sin(45°) 5  sin(45°) cos(45°) 9  0 0 1 ]

To find the matrix that represents the composite transformation, we first need to construct the individual transformation matrices for translation and rotation.

Translation Matrix:

The translation matrix for translating by (5,9) is:

[ 1 0 5

0 1 9

0 0 1 ]

Rotation Matrix:

The rotation matrix for rotating 45° about the origin is:

[ cos(45°) -sin(45°) 0

sin(45°) cos(45°) 0

0 0 1 ]

To obtain the composite transformation matrix, we multiply the translation matrix by the rotation matrix. Matrix multiplication is performed by multiplying corresponding elements and summing them up.

The resulting composite transformation matrix, accounting for translation and rotation, is:

[ cos(45°) -sin(45°) 5

sin(45°) cos(45°) 9

0 0 1 ]

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The temperature on Wednesday morning before it began to warm up is -52°F.

To make it easier to solve the problem above, we change the sentence into a mathematical sentence.

Let the temperature in Monday is x.

So that,

Monday between noon and 5:00 p.m = x + 13°F

Monday between 5:00 p.m. to 10:00 p.m = x + 13°F - 17°F - 60°F

                                                                    = x - 64°F

Tuesday = x + 13°F - 17°F - 60°F + 20°F

               = x - 44°F

Overnight Tuesday = x + 13°F - 17°F - 60°F + 20°F - 14°F

                                = x - 58°F

Wednesday morning before it began to warm up = x - 58°F

                                                                                   = 6°F - 58°F

                                                                                   = -52°F

So, the temperature on Wednesday morning before it began to warm up is -52°F.

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In the real world, circularity is used for various applications, including assembly, sealing surfaces, rotating clearance, and support.

When it comes to verifying circularity tolerance, the inspection method must be able to determine either the circle that inscribes or the circle that circumscribes the set of points.

Circularity plays a crucial role in applications such as assembly, where a shaft and a hole need to fit together with precision. It is also important for sealing surfaces found in engines, pumps, and valves to ensure effective sealing and prevent leakage. Additionally, circularity is essential in achieving proper rotating clearance between components like a shaft and housing. Lastly, circularity ensures equal load distribution along a line element, providing stability and support.

When verifying circularity tolerance, the inspection method should determine either the circle that inscribes the set of points or the circle that circumscribes the set of points. The circle that inscribes the points is the smallest circle that can contain all the points, while the circle that circumscribes the points is the largest circle that encloses all the points. The inspection method should accurately identify and measure the properties of these circles to assess circularity tolerance.

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The probability that a nine year old will take longer than 3 minutes to eat a donut is 0.667 .

Given that the time taken by 09 years old,

Consider that it takes 0.5 to 4 minutes inclusive for a 9-year-old to eat a donut.

Let X = Time

minutes, how long it takes a 9 year old to eat a donut.

Then X: U(0.5, 4).

The Probability Distribution Function:

P(X) = 1/4 - 0.5 = 0.2857

Cumulative Function would be:

F(x) = x -0.5 /0.5

The probability that a randomly selected 9-year-old child will eat a donut in at least 2 minutes is

    P(X ≥ 2) = 1 -F(2)

⇒ 1 - 2 -0.5/3.5

⇒ 0.8571

b) The probability that another her 9-year-old child will eat a donut in 2 minutes or more if she has eaten a donut in 3.0 minutes or more.

P(x >2 /x> 3.0)

= 0.571429/ 0.857143

= 0.6667

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