(1+sinA-cosA)/1+sinA+cosA=(1+sinA+cosA)/1+sinA-cosA=2cosecA​

TRUE. As one performs multiple separate hypothesis tests, the risk of committing a Type I error (rejecting a true null hypothesis) accumulates.

This overall risk is referred to as the experiment-wise alpha level or family-wise error rate (FWER). It represents the probability of making at least one Type I error among all the conducted tests.

When multiple hypothesis tests are performed simultaneously or sequentially, the individual alpha levels (typically set at 0.05) for each test may no longer be appropriate. This is because if we conduct, for example, 20 separate tests with an alpha level of 0.05 for each test, the cumulative chance of committing at least one Type I error can be much higher than the desired 5%.

To control the experiment-wise error rate, various multiple comparison procedures and adjustments can be employed, such as the Bonferroni correction or the Holm-Bonferroni method. These methods aim to maintain a desired level of significance for the entire set of tests, reducing the risk of accumulating Type I errors.

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Answer:

(-2, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

6x - y = -14

-2x + y = 6

Step 2: Solve for x

Elimination

Step 3: Solve for y

Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

The volume of water in the pool is 6,908 cubic feet.

Given in the Question:

Swimming pool is circular with a 40-ft diameter.

The depth is constant along east-west lines and increases linearly from 3 ft at the south end to 8 ft at the north end.

We have to find the radius of pool using it's diameter:

R = 40/2

R = 20 ft

The depth is constant along east-west lines and increases linearly from 3 ft at the south end to 8 ft at the north end.

Depth average(Da) = 3+8 / 2 = 5.5

Now, we will find the volume:

volume = Л × r² × Da

volume = 3.14 × (20)² × 5.5

volume = 6908 ft³

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Answer:

C.

Step-by-step explanation:

The easiest way to tell if a relation is a function is to look at the values of the x's. If more than one x is the same, it cannot be a function. In contrast, if more than one y is the same, it is okay. The answers A, B, and D are functions because the x's are all different. Looking at the table for the answer C, you can see that two x's are the same (there are two x's with the value of 1).

Hope this helps!! Have a wonderful day :D

a. The equator has the smallest circumference of all the circles of latitude or longitude.

The equator is an imaginary circle that is located at 0 degrees latitude and circles the Earth's surface at its widest point. Since the Earth is roughly spherical in shape, the equator represents the largest circle of latitude. However, it has the smallest circumference of all the circles of latitude or longitude because it is located at the widest point of the Earth, and its radius is equal to the Earth's radius.

In contrast, the circles of latitude and longitude located at higher latitudes have smaller radii and therefore larger circumferences than the equator. Similarly, circles of latitude and longitude located at lower latitudes have larger radii and smaller circumferences than the equator. Therefore, the equator has the smallest circumference of all the circles of latitude or longitude on the Earth's surface.

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To show that angles are equal to each other using properties of equality, you can apply the following properties: Reflexive Property, Symmetric Property, Transitive Property, Substitution Property.

1. Reflexive Property: An angle is equal to itself. For example, ∠ABC = ∠ABC.

2. Symmetric Property: If ∠ABC = ∠DEF, then ∠DEF = ∠ABC. The order of the angles can be switched without changing their equality.

3. Transitive Property: If ∠ABC = ∠DEF and ∠DEF = ∠XYZ, then ∠ABC = ∠XYZ. If two angles are equal to a common angle, then they are equal to each other.

4. Substitution Property: If ∠ABC = ∠DEF and ∠DEF = ∠XYZ, then ∠ABC = ∠XYZ. You can substitute equal angles into other equations or properties.

By using these properties, you can establish the equality of angles by showing the necessary relationships between them.

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Answer:

-3

Step-by-step explanation:

to find slope (you can also do this in a graph) you do rise over run and Rise is on the y-axis so your y variables are -3 and 6 you subtract 6 from -3 so you do...

-3 - 6

and now you do your run which is your x axis variables which are two and -1 you subtract -1 from 2 so you do...

2 - (-1)

the answer to your rise is -9 and the answer to your run is 3 we then want to do rise over run which is -9 / 3 you get -3 and that will be your answer.

Answer:

-3

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 6 / 2 - (-1)

-9/ 3

= -3

Answer:

A = 135 cm²

Step-by-step explanation:

the area (A) of a trapezium is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the perpendicular height between the bases b₁ and b₂

here h = 9 , b₁ = 19 , b₂ = 11 , then

A = \(\frac{1}{2}\) × 9 × (19 + 11) = 4.5 × 30 = 135 cm²

Answer:

The data set is:

S = {4.5, 4.5, 4.5, 4.5, 6, 8, 10, 12, 13.5, 13.5, 13.5, 13.5}

Step-by-step explanation:

Consider the ordered data set:

S = {4.5, 4.5, 4.5, 4.5, 6, 8, 10, 12, 13.5, 13.5, 13.5, 13.5}

The lower extreme is: 4.5

The upper extreme is: 13.5

The median for an even number of observations is the mean of the middle two values.

\(\text{Median}=\frac{6^{th}+7^{th}}{2}=\frac{8+10}{2}=9\)

The first quartile (Q₁) is defined as the mid-value between the minimum figure and the median of the data set.

Q₁ = 4.5

The 3rd quartile (Q₃) is the mid-value between the median and the maximum figure of the data set.

Q₃ = 13.5

A box plot that has no whiskers has, Range = Interquartile Range.

Compute the range as follows:

\(Rangw=Max.-Min.=13.5-4.5=9\)

Compute the Interquartile Range as follows:

\(IQR=Q_{3}-Q_{1}=13.5-4.5=9\)

Thus, the box pot for the provided data has no whiskers.

The market value of the stock is: expected to fall to approximately $62 after a 2-for-1 stock split. The correct option is (a).

A stock split is a corporate action in which a company increases the number of shares outstanding while reducing the stock price proportionally.

In a 2-for-1 stock split, each existing share is divided into two new shares. Since the stock split increases the number of shares but does not affect the underlying value of the company, the market value per share is expected to decrease.

To calculate the new market value after the stock split, we divide the current market value by the split ratio (2). In this case, the current market value is $124, so after the 2-for-1 stock split, the new market value is approximately $62.

Therefore, the correct answer is option a. The market value of the stock is expected to fall to approximately $62 after the stock split.

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Answer:

L bozo

Step-by-step explanation:

ur whole life is an L

Answer:

33 cars

Step-by-step explanation:

The computation of the number of black cars in total is shown below:

Given that

There is a car dealership of 240 cars

And,17.5% of them are wrecked

So, the wrecked cars is

= 17.5% of 240 cars

= 42

Now the number of other cars would be

= 240 - 42

= 198

And it is mentioned that there are other six colors lot

So the number of black cars would be

= 198 ÷ 6

= 33 cars

Answer:

2000*1.75 makes 3500 tickets sold Saturday.

Step-by-step explanation:

2000*1.75 makes 3500 tickets sold Saturday.

Answer:

700 tickets sold on Saturday

Step-by-step explanation:

Find 175% of 400:

175 * 400 / 100 = 700

The ways that we can choose 2 red, 1 yellow, and 2 blue marbles is ³C₂ ×  ⁵C₁ ×  ⁸C₂ / ¹⁶C₅

According to the question,

In a bag there are three different color of marbles

Number of red color marbles = 3

Number of yellow color marbles = 5

Number of blue color marbles = 8

Total number of marbles = 3 + 5 + 8

=> 16

We have to find number of ways to choose 2 red, 1 yellow, and 2 blue marbles

For choosing 2 red marbles from total 3 ,

Number of ways = ³C₂

For choosing 1 yellow marbles from total 5 ,

Number of ways = ⁵C₁

For choosing 2 blue marbles from total 8 ,

Number of ways =  ⁸C₂

Total number of ways to choose 5 marbles from 16 = ¹⁶C₅

Therefore , Numbers of ways we can choose n 2 red, 1 yellow, and 2 blue marbles =  ³C₂ ×  ⁵C₁ ×  ⁸C₂ / ¹⁶C₅

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Answer:

Z=44° X=114° Y=66°

Step-by-step explanation:

Angles in a triangle add up to 180

31°+35°+x°=180°

66°+x°=180°

x°=180°-66°

x°=114°

Angles on a line add up to 180°

x°+y°= 180°

where x°=114°

114°+y° =180°

y°=180°-114°

y°=66°

Angles in a triangle add up to 180

z°+y°+70°=180°

where y=66°

z°+66°+70°=180°

z°+136°=180°

z°=180°-136°

z°=44°

Answer:

Step-by-step explanation:

1) 8.9

2) 27.8

3) 24.3

4) 11.4

5) 27.5

6) 49.2

7) 8.1
8)4.8

The variable associated with the interior and exterior angles in the triangle is equal to 56.

The value of the exterior angle is equal to 116°.

This question presents the case of a geometric system formed by a triangle and a semirray that includes two interior angles and a exterior angle. Please notice that the sum of the measures of interior angles in a triangle equals 180° and the sum of two supplementary angles equals 180°.

First, derive the equation of the missing interior angles in triangle PQR:

m ∠ R = 180° - 60° - x

m ∠ R = 120° - x

Second, obtain the equation for the two supplementary angles:

(120° - x) + (2 · x + 4°) = 180°

124° + x = 180°

x = 56

Third, determine the value of the exterior angle:

θ = 2 · x + 4

θ = 2 · 56 + 4

θ = 116°

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Answer:

0.84134

Step-by-step explanation:

Given that:

Mean, m = 70

Standard deviation, s = 10

P(x ≥ 60)

Obtain the standardized score (Zscore) :

Z = (x - m) / s

Z = (60 - 70) / 10

Z = - 10 / 10

Zscore = - 1

P(Z ≥ 1) = 0.84134 (Z probability calculator)

Each statement about integer is:

Statement A: If positive is subtracted from a negative integer, the difference is negative integer.

This statement is sometimes true.

If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer. For example, if -5 is subtracted from -3, the difference is -8, which is a negative integer. However, if -3 is subtracted from -5, the difference is 2, which is a positive integer. The difference sign depends on which value is the bigger one.

Statement B: If a positive integer is subtracted from a positive integer, the difference is a positive integer.

This statement is sometimes true.

If a positive integer is subtracted from a positive integer, the difference can be a positive integer or a negative integer. For example, if 3 is subtracted from 5, the difference is 2, which is a positive integer. However, if 5 is subtracted from 3, the difference is -2, which is a negative integer.

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Answer:

4y-2x+6

Step-by-step explanation:

Let's denote the length of CM and AM as x. Since CM is 6 inches longer than DM, we can express DM's length as x - 6.

Since the angle bisector of angle A intersects side DC at point M, and the angle bisector of angle C intersects side AB at point N, we can conclude that triangles ANM and CDM are similar triangles.

According to the similarity of triangles, we can write the following proportion:

AN / CD = AM / DM

Substituting the given values, we have:

AN / CD = x / (x - 6)

Now, we know that rectangle ABCD has equal opposite sides. Therefore, CD is equal to AB. Let's denote their common length as y.

We can express the lengths AN and CD in terms of y using the similarity proportion:

AN = (x / (x - 6)) * CD

AN = (x / (x - 6)) * y

Since the opposite sides of a rectangle are equal, AB = CD = y.

Now, let's find the perimeter of quadrilateral ANCM:

Perimeter = AB + BC + CD + DA

Perimeter = y + BC + y + DA

Perimeter = 2y + BC + DA

To find BC and DA, we need to consider the fact that the angle bisector of angle A intersects side DC at point M. Since CM is equal to AM, we can divide side DC into two equal parts, each with length x. Therefore, DM has a length of (x - 6).

Similarly, since the angle bisector of angle C intersects side AB at point N, we can divide side AB into two equal parts, each with length x. Therefore, AN has a length of x.

BC = AB - AM = y - x

DA = DC - DM = y - (x - 6) = y - x + 6

Substituting the values of BC and DA into the perimeter equation, we have:

Perimeter = 2y + (y - x) + (y - x + 6)

Perimeter = 4y - 2x + 6

Therefore, the perimeter of quadrilateral ANCM is 4y - 2x + 6.

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

Explanation:

Simplify the left hand side to get

\(\frac{2}{A}+\frac{1}{B} = \frac{13}{15}\\\\\frac{2B}{AB}+\frac{A}{AB} = \frac{13}{15}\\\\\frac{2B+A}{AB} = \frac{13}{15}\\\\\)

Compare the denominators AB and 15.

If AB = 15, then we could have,

Through trial and error, the only solution is A = 3 and B = 5 because 2B+A = 2*5+3 = 10+3 = 13 to match the numerator on the right hand side.

Therefore, A+B = 3+5 = 8

Answer:

x-intercept: (2,0)

y-intercept: (0,-4/3)

vertical asymptote: x = -3

Step-by-step explanation:

To find the x-intercepts, we can set f(x) to 0, which is y=0:

2x-4/x+3 = 0

2x-4 = 0

2x = 4

x = 2

To find the y-intercepts, we can set x to 0:

2(0)-4/(0)+3 = y

y = -4/3

To find the vertical asymptote, we can set the denominator equal to 0:

x+3 = 0

x = -3

Infinitely many position vectors with length 2 in xyz-space are orthogonal to the nonzero position vector v. (D)

A position vector in xyz-space is a vector that starts at the origin and ends at a point in xyz-space. The length of a position vector is the distance from the origin to the point it ends at.

If we want to find position vectors with length 2 that are orthogonal (perpendicular) to a given nonzero position vector v, we can use the dot product.

Let w be a position vector with length 2 that is orthogonal to v. Then, the dot product of v and w must be zero, since they are orthogonal. That is, v · w = 0. Since the length of w is 2, we can write w as 2u for some unit vector u. Thus, v · w = v · (2u) = 2(v · u) = 0.

This means that v and u are orthogonal as well, since the dot product of two vectors is zero if and only if they are orthogonal.

There are infinitely many unit vectors u that are orthogonal to v, and therefore, there are infinitely many position vectors with length 2 that are orthogonal to v. Therefore, the answer is (d) infinitely many.

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Answer:

Her average for the semester is 82.42

Step-by-step explanation:

577 is the sum of all the points in the assignments

and dividing by 7 (the number of assignments) you get 82.42 ie her semester grade.

Mean is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

86, 93, 90, 85, 42, 91, 90

= 577/7

= 82.4

The mean of her grades is 82.4

Mean is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

Set of grades.

86, 93, 90, 85, 42, 91, 90

Number of grades = 7

Total value of all the grades.

= 86 + 93 + 90 + 85 + 42 + 91 + 90

= 577

Mean of the grades.

= 659.4 / 8

= 82.4

Thus,

The mean of her grades is 82.4

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Answer:

2

Step-by-step explanation:

Using the graph of tanx attached, we know that each period starts and restarts after each π. I've contrasted the periods of the functions in blue versus what we have between the two points in green.

From -3π/4 to 5π/4, we have.....

1/4 of a period

1 full period

3/4 of a period

1/4 + 1 + 3/4 = 2 periods

I hope this helps!

Answer:

B.

Step-by-step explanation:

Answer:

First and Third one

Step-by-step explanation:

First one: No Solution

Second one: x= All real numbers

Third one: No Solution

Fourth one: All real numbers

Answer: B is the correct answer

Step-by-step explanation:

If you do the math for each question to get a price a leaves you with 725 and b leaves you with 720 and c leaves you with 760 while d leaves you paying 800 so the lowest amount would be B.

Answer: B

Step-by-step explanation:

I'm pretty sure its B.

Since all 4 stores have a 5% sales tax already on them, we do:

800 x 5%

800 x 5/100

800 x 0.5 = 40

So now we go to all the stores and see which one is less than $40.

Answer A = 40 - 75 = -35 (Which is a price the store would have to pay but that's not a good option)

Answer B = 4

40 x 10%

40 x 10/100

40 x 0.10 = 4

Answer C = So if the store already pays sales tax which would be the 5% then our answer is $40

Answer D = This would just be $800 since the store says "no tax" and the store pays the 5%.

So, i'm pretty sure the answer is B instead of C. (i say this because a lot of people were saying it was C but C is completely wrong.)

Part one :-

In this part we will find area of small rectangle that is white in colour.

Given :-

To find :-

We know :-

Part two :-

In this part we will find are of big rectangle

Given :-

To find :-

We know :-

Part 3:-