The purpose of inverse trig functions is to identify the _______ that yield the given __________.

A) trigonometry function, value
B) value, angles
C) trigonometry function, angle
D) angle, value

A researcher is planning an A/B test and is concerned about only one confound between the day of the week and the treatment. In order to control for the confound, she is most likely to design the experiment using a blocked design.

A/B testing is a statistical experiment in which a topic is evaluated by assessing two variants (A and B). A/B testing is an approach that is commonly used in web design and marketing to assess the success of modifications to a website or app. This test divides your visitors into two groups at random, with one group seeing the original and the other seeing the modified version.

The success of the modification is determined by comparing the outcomes of both groups of users.The researcher should utilize a blocked design to control the confound. A blocked design is a statistical design technique that groups individuals into blocks or clusters based on factors that may have an impact on the outcome of an experiment.

By dividing the study participants into homogeneous clusters and conducting A/B testing on each cluster, the researcher can ensure that the confounding variable, in this case, the day of the week, is equally represented in each group. This will aid in the reduction of the influence of extraneous variables and improve the accuracy of the research results.

In summary, the most probable experiment design that the researcher is likely to use to control for the confound between the day of the week and the treatment is a blocked design that will allow the researcher to group individuals into homogeneous clusters and conduct A/B testing on each cluster to ensure that confounding variable is equally represented in each group, thus controlling the confound.

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Now, price of desk in furniture store

= $169 + (24% of $169)

= $169 + (24/100 × $169)

= $169 + $4056/100

= $169 + $40.56

= $209.56

Hence, answer is $209.56.

Answer:5 gallons

Step-by-step explanation:

20 quarts/4=5

the formula to get the expected value is

So, first we calculate teh probabilities. We have 20 bills in total. so we divide the quantity of bills of each value by the total:

we have 8 ones: 8/20= 2/5

5 fives: 5/20=1/4

4 tens: 4/20= 1/5

3 twenties = 3/20

now, we multiply each value with te probabilitiy of picking it and add all

the expected value is 4.1

The simplified form of the radical is 9i

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z. Here both a and b are real numbers. The value 'a' is called the real part which is denoted by Re(z), and 'b' is called the imaginary part I'm (z).  Also, it is called an imaginary number.

Given here, √-81 and we know √-1 = i

√-81 = √9² × √-1

        = 9 ×i

        = 9i

Hence 9i is the correct answer.

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Answer: 9i is the correct answer.

Step-by-step explanation:

Solving the given work.

Answer:

x+8/x^2 * 2x^2/2x+16

Step-by-step explanation:

Answer:

24 years old

Step-by-step explanation:

Let the age of Blake be x and the age of Heather by y then...

x=7+y

7+x+7+y=55

Notice we are adding additional 7s because the question states "in 7 years"

Simplify the second equation...

7+x+7+y=55

14+x+y=55

Subtract 21 from both sides

x+y=41

Solve using substitution (substitute 7+y for x since x = 7+y)

7+y+y=41

Combine like terms

2y+7=41

Subtract 7 from both sides

2y=34

Divide both sides by 2

y=17

x=7+17=24

Blake is 24 years old now

Answer:

A. 12.

Step-by-step explanation:

In a 30-60-90 triangle the ratio of  the shortest leg to the hypotenuse is 1:2.

So here the hypotenuse = 2*6 = 12 units long.

The volume of the mixture in the tank will increase at a rate of 2 L/min because the inflow rate is 5 L/min and the outflow rate is 3 L/min. The tank's capacity is 150 L, and it currently contains 100 L of water.

When the tank is completely filled, the amount of salt in the tank can be calculated. Since 0.1 kg of salt is present in 1 L of the solution,

0.1 kg/L × 5 L/min × 60 min/hour = 30 kg/hour of salt is added to the tank.

When 3 L/min of the mixture is drained, the concentration of salt decreases.

30 kg/hour ÷ (5 L/min - 3 L/min)

= 15 kg/L

When the tank is completely filled, the amount of salt in the mixture is 15 kg/L.

Answer:

Concentration of mixture when the tank fills to maximum capacity is 15 kg/L.

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B most likely i dont think it can be another one

Answer: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25.

Step-by-step explanation: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25. To check if a point is on the circle, we can substitute the point's x and y coordinates into the equation of the circle. If the equation is true, then the point is on the circle. In this case, substituting (-2, 4) into the equation of the circle.

Yes, mathematical phrases can be considered as polynomials. Because the mathematical sentences conform to the definition of polynomial.  

A polynomial is a mathematical expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

Mathematical phrases, such as:

"3x^2 + 2x - 5" or "2y^3 - 4y + 1"

Are examples of polynomials because they only involve the operations of addition, subtraction, multiplication, and non-negative integer exponents. Therefore, mathematical phrases can be considered as polynomials.

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If two triangles are congruent by SAS, it means that they have two sides and the included angle that are equal.

In other words, one triangle can be transformed into the other by a rigid motion that involves a translation, a rotation, or a reflection. The specific rigid motion that is used depends on the orientation and position of the triangles in space.

For example, if the triangles are in the same plane and one is simply rotated or reflected to match the other, a rotation or reflection would be used. If the triangles are in different planes, a translation would be needed to move one to the position of the other before a rotation or reflection could be used.

Ultimately, the specific rigid motion used to show congruence by SAS will depend on the specific characteristics of the triangles involved.

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Ideally, an attack urface is defined as A large a possible Entries

What is An Attack Surface ?

The entire number of potential points of entry for unauthorised access into any system is known as the attack surface. It includes every endpoint and vulnerability that can be used to launch a security attack. The total region of a system or organisation that is vulnerable to hacking is often referred to as the attack surface.

Concept:

The attack surface of any system refers to all possible points of entry for unauthorised access. Each endpoint and security hole that can be exploited to launch a security attack are included.

The attack surface is vast and complicated for the majority of modern enterprises. There are numerous potential cyber security concerns due to the rising number of gadgets, web apps, and network nodes.

Despite their best efforts, IT leaders are only able to see a portion of the security dangers that their company faces.

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The triangles AEB and DEC describes AA similarity .

What is AA Similarity ?

Two triangles are said to be congruent by AA Similarity when two angles in one triangle are congruent to two angles in another triangle .

In the question ,

a figure is given .

in triangle AEB and triangle DEC ,

we can see that ,

∠AEB ≅ ∠DEC    ,   because they are vertically opposite angles .

On rotating triangle CED by  180° around the point E, then the translate point D to point A confirms  ∠EAB ≅ ∠EDC.

Since two angles are Congruent

So , By AA Similarity , triangles AEB and DEC are Congruent .

Therefore , the triangles AEB and DEC are Congruent .

The given question is incomplete , the complete question is

Which of the following triangles in the given figure describes AA similarity ?

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Answer:

12 is the slope.

Step-by-step explanation:

This is because in the equation y = mx + b, m is the slope.

Hope this helps!

The probability of randomly taking out two oranges in a row is (5/12) x (4/11) = 5/33.

Similarly, the probability of taking out two grapefruits in a row is (4/12) x (3/11) = 1/11. The probability of taking out two apples in a row is (3/12) x (2/11) = 1/22. Lastly, the probability of taking out an orange, then an apple, and finally a grapefruit in that order is (5/12) x (3/11) x (4/10) = 3/55. The probability of each outcome depends on the total number of fruits in the bag and the number of each type of fruit. The probability of drawing two oranges in a row is (5/12)*(4/11) = 20/132. For two grapefruits, it's (4/12)*(3/11) = 12/132. For two apples, it's (3/12)*(2/11) = 6/132. For the sequence orange-apple-grapefruit, the probability is (5/12)*(3/11)*(4/10) = 60/1320.

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To show that the given equations represent trigonometric identity statements, we will simplify each equation and demonstrate that both sides of the equation are equal.

Starting with sec²θ(1 - cos²θ):

Using the Pythagorean identity sin²θ + cos²θ = 1, we can rewrite sec²θ as 1 + tan²θ. Substituting this into the equation, we get:

(1 + tan²θ)(1 - cos²θ)

= 1 - cos²θ + tan²θ - cos²θtan²θ

= 1 - cos²θ(1 - tan²θ)

= sin²θ

Thus, the equation simplifies to sin²θ, which is a trigonometric identity.

For cosx(secx - cosx) = sin²x:

Using the reciprocal identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the equation as:

cosx(1/cosx - cosx)

= cosx/cosx - cos²x

= 1 - cos²x

= sin²x

Hence, the equation simplifies to sin²x, which is a trigonometric identity.

Considering cosθ + sinθtanθ = secθ:

Dividing both sides of the equation by cosθ, we obtain:

1 + sinθ/cosθ = 1/cosθ

Using the identity tanθ = sinθ/cosθ, the equation becomes:

1 + tanθ = secθ

This is a well-known trigonometric identity, where the left side is equal to the reciprocal of the right side.

Simplifying (1 - cos∝)(cosec∝ + cot∝):

Expanding the expression, we have:

cosec∝ - cos∝cosec∝ + cot∝ - cos∝cot∝

= cot∝ - cos∝cot∝ + cosec∝ - cos∝cosec∝

= cot∝(1 - cos∝) + cosec∝(1 - cos∝)

= cot∝tan∝ + cosec∝sec∝

= 1 + 1

= 2

Thus, the equation simplifies to 2, which is a constant value.

In summary, we have analytically shown that the given equations represent trigonometric identity statements by simplifying each equation and demonstrating that both sides are equal.

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Substitute 80 for C in the formula F = 9/5C +32 to obtain the temperature in fahrenheit.

Thus temperature in

The correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph in option third is showing correct points on the x-y plane which are ( -4,3) and ( 1,-2).

-4 is along the negative x-axis and 3 is along the positive y-axis similarly to the second point positive 1 is along the x-axis and negative 2 is along the y-axis.

Therefore the correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.

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For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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The probability of surviving for 3 years will be 54.8.

What is Probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given:

one hundred eighty patients were treated for disease x from 2007 to 2009.

The probability of surviving for 3 years=P 2007*P 2009*P 2010.

According to given information,

The probability of surviving for 3 years will be 54.8.

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Answer:

6.16?

Step-by-step explanation:

Not completely sure but if you divide 256 by 40 you get six remainder 16 not sure if I did it right so sorry if I am wrong

SOLUTION

Step1: Write out the giving equation

Step2: Write out the equation in form of y=mx+c

Then the gradient of the equation is the coefficient of x

Two lines are parallel if their gradient is the same

Hence the second line will have a gradient of

Step4: Apply the slope and one point form to find the gradient of the line parallel to 7-4x=7y

The substitute the parameters into the formula

Therefore the equation of the line is y = -4/7x+8/7

The right option is C

Answer: (m-3)(5m-2)

Step-by-step explanation:

5m^2-17m+6 factored is (m-3)(5m-2).

If we write the first integer as the variable n, all numbers that come after it can be written as n+1, n+2, etc.

so the sum of four consecutive integers is:

sum = n + (n+1) + (n+2) + (n+3)

if we simplify:

sum = 4n +6

and if we want to know what the first integer is, we can re-write the equation as:

\(\frac{sum-6}{4}\) = n

and that is your answer.

Answer:

I am just answering so that potato can get brainliest

Answer:

1.) 5

2.) 14

Step-by-step explanation:

As given,

the expression - 3x + 2

1.)

Evaluate the expression when x is 1

⇒ 3x + 2 = 3(1) + 2 = 3+2 = 5

2.)

Evaluate the expression when x is 4

⇒ 3x + 2 = 3(4) + 2 = 12+2 = 14

The probability of committing when at least one type I error at a significance level (exactly) 0.01 at m = 11 is equivalent to 0.1047.

Given that:

The hypotheses are based on independent samples with each at a 0.01 level of significance.

We know that:

P (at least one type I error is committed) = 1 - [P (No error -  type I error is committed)]^m

P (at least one type I error is committed) = 1 - [(1 - 0.01)]^11

P (at least one type I error is committed) = 1 - [0.99]^11

P (at least one type I error is committed) = 1 - 0.8953

P (at least one type I error is committed) = 0.1047

So, the probability of committing when at least one type I error is equivalent to 0.1047.

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