Find the equation of the line that contains the point 6 2 and is perpendicular to the line.

For six tests, the Bonferroni corrected p value is 120.

Given,

Bonferroni adjustment;-

The Bonferroni technique is an easy procedure that permits the construction of several confidence intervals or comparison statements while maintaining a constant overall confidence coefficient.

Here,

Divide the initial alpha level (often set to 0.05) by the total number of tests to make the adjustment. The result of the calculation is a Bonferroni-corrected p value, which will serve as the new cutoff point for classifying a single test as significant.

So,

6/0.05 = 120

That is,

The Bonferroni corrected p value is 120 for 6 number of tests.

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The inverse of the functions are f⁻¹(x) = 1/2(x + 3), f⁻¹(x) = 1/2√(x + 5) and A⁻¹(r) = 1/2√(r/pi)

Function (a)

This function is given as

f(x)=1/(2x)-3

The function needs to be represented as an equation

So, we have

y = 1/(2x) - 3

Swap the positions of x and y

x = 1/(2y) - 3

So, we have

1/(2y) = x + 3

Take the inverse of both sides

2y = 1/(x + 3)

Divide by 2

y = 1/2(x + 3)

So, the inverse function is

f⁻¹(x) = 1/2(x + 3)

Function (b)

This function is given as

f(x)=4x²-5

The function needs to be represented as an equation

So, we have

y = 4x²-5

Swap the positions of x and y

x = 4y² - 5

So, we have

4y²= x + 5

Divide both sides by 4

y²= 1/4(x + 5)

Take the square roots

y= 1/2√(x + 5)

So, the inverse function is

f⁻¹(x) = 1/2√(x + 5)

Function (c)

This function is given as

A(r) = 4(pi)r²

The function needs to be represented as an equation

So, we have

y = 4(pi)r²

Swap the positions of r and y

r = 4(pi)y²

So, we have

y²= r/(4pi)

Take the square roots

y = 1/2√(r/pi)

So, the inverse function is

A⁻¹(r) = 1/2√(r/pi)

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The probability of winning is 30/59.

What is a probability simple definition?

A probability is a number that expresses the possibility or likelihood that a specific event will take place.

                 Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

probability = wanted outcomes / total outcomes

odds = wanted outcomes / unwanted outcomes

odds of 29/30 losing means 29 losing outcomes and 30 winning outcomes.

The total outcomes is 59

The probability of losing is 29/30. Yet we want the probability of winning.

Provability of winning is 1 - probability of losing.

1 - 29/59 = 30/59

The probability of winning is 30/59.

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1÷2×8x+32=3x+18

4x+16=3x+18

4x-3x=18-16

x=2

This is not a simple random sample because not all combinations of 100 toys could have been chosen.

A factory has 20 assembly lines producing a popular toy.

This is not a simple random sample because not all combinations of 100 toys could have been chosen. We know that it will be a random sample if all the 100 toys will ne chosen randomly but in this question not all the 100 toys will be chosen. The answer is No, because not all combinations of 100 toys could have been chosen.

Therefore, quality control staff randomly selected 5 toys from each output, and this is not a simple random sample because not all combinations of 100 toys could have been chosen.

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The total number of no votes are 4422.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given:   The ratio of yes votes to no votes is 5 to 6 i.e.

          yes votes /no votes = 5/6

  It means there are total 11 votes ( 5 votes for yes and 6 votes for no)

  which gives

                    no votes/total votes= 6/11---(i)

But in the given question total votes are 8107,

so let us consider there are x votes for no which implies

                       no votes/total votes= x/8107

From (i), we have

                   x/8107 = 6/11

               ⇒ x = 6*8107/11 = 4422.

Then the total number of no votes is 4422.

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NOTE: The question given in the portal is incomplete. Here is the complete question.

Question: The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 6. If there were 8107 total votes, how many no votes were there?

I don't know the answer but I believe it could be the 3rd one

Emerson actually hit the ball 32% of times at bat.

Since in Game 1, Emerson struck out 30 times in 90 times at bat; in Game 2, he struck out 40 times in 120 times at bat; and in Game 3, Emerson struck out 42 times in 140 times at bat; To determine what percentage of times at bat did Emerson actually hit the ball, the following calculation must be performed:

(30 + 40 + 42) / (90 + 120 + 140) = X

112/350 = X

0.32 = X

Therefore, Emerson actually hit the ball 32% of times at bat.

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Elimination and substitution is one approach to solve linear equation problems.

Put the equations in actually Standard Form as a first step, which really is quite significant. Choose which sort of variable to basically remove in step two, which particularly is quite significant. 3, very further showing how 3 in a basically major way. Multiply the equations and really find the solutions, so 3, fairly further showing how 3, which for all intents and purposes is quite significant. Step 4: Reconnect the plug to particularly locate the particularly second variable, which really shows that for the most part choose which basically variable to kind of remove in step two in a sort of major way.

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A table can be used to solve equational systems.

A list of particular points from the straight-line graphs is called a table of values. On a graph, the y-values at the points where the lines converge will be the same. We'll be looking for the x-location in the tables where the y-values are equal.

In a table solution, the system's two linear equations are changed with x-values. The solution is established when the same y-value appears in both equations.

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Answer:

8x+3<15
x<1.5

Step-by-step explanation:

8x+3<15
   -3. -3

8x<12
/8.  /8

x<1.5

Hopes this helps please mark brainliest

A sample of 50 provided a mean of 28.4. The population standard deviation is 6. the value of test statistic is 1.65

The following hypothesis test:

H₀ : μ ≤ 27

Ha: μ 27

A sample of 50 provided a mean of 28.4. The population standard deviation is 6.

We need to find the value of test statistics

test statistic  = (28.4 - 27)/(6/√50)

test statistic= 1.4/0.848

test statistic = 1.65

Therefore, a sample of 50 provided a mean of 28.4. The population standard deviation is 6. The value of test statistic is 1.65.

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Answer:

The number is 0.

Step-by-step explanation:

Let's say the number is "n"

5(-5+n)=-25

rearrange:

5(n-5)=-25

Simplify:

5n-25=-25

rearrange:

5n=-25+25

simplify:

5n=0

n=0

=Answer:   x+2

Step-by-step explanation:

The air conditioner can circulate 16.2963 cubic yards of air per minute.

The air conditioner circulates 440 cubic feet of air per minute.

We know that 3 feet =  1 yard

Therefore cubic feet when converted to yard we have to divide the data by 27.

Therefore 440 cubic feet = 440 / 27 = 16.2963 cubic yards.

Therefore the air conditioner can circulate  16.2963 cubic yards of air per minute.

A conversion factor must be added, subtracted, multiplied, or divided throughout the multi-step process of unit conversion. It can also be essential to round the numbers and select the right number of significant digits. Different units of metric conversion are used to measure different parameters.

Unit conversion is a multi-step procedure that involves adding, subtracting, or multiplying by a number. There are many ways to measure weight, distance, volume and temperature.

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if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent.

How do you know if a triangle is HL congruent?

Hypotenuse-Leg (HL) for Right Triangles. There is one case where SSA is valid, and that is when the angles are right angles. Using words: In words, if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent.

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Answer:

[tex]\huge\boxed{\sf 2 \ unit^2}[/tex]

Step-by-step explanation:

Since both base and perpendicular are the same, let's denote both of them by one variable i.e. x

Using Pythagoras Theorem because it is a right-angled triangle.

[tex](Hypotenuse)^2=(Base)^2+(Perp)^2[/tex]

Where,

Base, Perp = x

Hypotenuse = [tex]2\sqrt{2}[/tex]

So,

[tex](2\sqrt{2})^2=(x)^2+(x)^2 \\\\4 \times 2 = x^2+x^2\\\\8 = 2x^2\\\\Divide \ both \ sides \ by \ 2\\\\4 = x^2\\\\Take \ sqrt\\\\2 = x \\\\x = 2[/tex]

So, Base and Perpendicular both equal 2.

[tex]\displaystyle =\frac{1}{2} (Base)(Perp)\\\\= \frac{1}{2} (2)(2)\\\\= 2 \ unit^2\\\\\rule[225]{225}{2}[/tex]

Answer:

2 unit^2

Step-by-step explanation:

a^2 +b^2=c^2 is the formula we use we can turn both a and b to x since they are the same legnth and c is 2√2

X^2+x^2=2√2^2

2x^2=4(2)

2x^2=8

/2.   /2

x^2=4

Square root both sides

x=2

so the base and the height is 2

So we use triangle formula

1/2(2)(2)

1/2(4)

2

The area is 2

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We call this a triple zero, or a zero with multiplicity 3. For zeros with even multiplicities, the graphs touch or are tangent to the x-axis at these x-values

What is the multiplicity of 0 3?

We call this a triple zero, or a zero with multiplicity 3. For zeros with even multiplicities, the graphs touch or are tangent to the x-axis at these x-values. For zeros with odd multiplicities, the graphs cross or intersect the x-axis at these x-values.

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The mean of the 4 and 7  numbers is 5.5.

What is mean?

A amount that includes a price intermediate between those of the acute members of some set is known as mean.

Main body:

In this question we have to find the mean of the 4 and 7 numbers. Whole numbers are all non-negative integers which start from 0. Now the mean of the 4 and 7 numbers as the count of numbers from 4 and 7 is 2. Use this concept to reach the answer.

Mean of numbers is equal to the sum of the numbers divided by the count of the numbers that is

Mean = sum of numbers/ total numbers    

mean = 4+7/2

          = 5.5

HENCE , mean of 4 and 7 is 5.5

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The coefficient of lift is 1.17

C1 = Cn cos α - Ca sin α

Here, α

Cn is the normal force coefficient, and Ca is Substitute 12· for the axial force coefficient for α

C1 = 1.2cos12.-0.03sin 12.

= 1.16

≈1.17

What is the coefficient of normal force?

The Greek letter mu () typically serves as a symbol for it. From a mathematical perspective, = F/N, where F is the normal force and N is the frictional force. The coefficient of friction has no dimensions because both F and N are measured in force units like newtons or pounds.

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Making an interval estimate for the population mean requires making the following assumptions about the population:

a. The population is thought to have a normal distribution.

b. The central limit theorem is presumptively true.

Given,

Making an interval estimate for the population mean requires making the following assumptions about the population:

a. The population is thought to have a normal distribution.

b. The central limit theorem is presumptively true.

The distribution of a variable's values is described by a normal distribution. There are 50% of the data to the left and 50% to the right of the mean in this probability distribution, which is symmetrical about the mean. The majority of the data are centered around the mean, meaning that they are more likely to occur or be located close to the mean than distant from it. A bell curve will represent the normal distribution's graph form. Mean = mode = median describes a normal distribution.

According to the Central Limit Theorem, when a variable does not follow a normal distribution, repeated random samples from the population will result in sample means that are normally distributed, regardless of the underlying distribution of the sample. This indicates that as the sample size increases, the sampling distribution of the sample means moves closer to a normal distribution.

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Answer:

5/6

Step-by-step explanation:

The results of previous dice rolls don't have any effect on the result the next time the die is rolled.

The relative frequency of getting a 5 on the next roll is 5/6

Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency). Conditional relative frequency is relative frequency conditional to some special characteristic.

We are given that a fair die is rolled 25 times. it landed on the number 5 eight times.

We need to find the relative frequency of getting a 5 on the next roll

relative frequency = 5/6

The results of previous dice rolls that have any effect on the result the next time the die is rolled.

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The amount Amy is expected to pay on rent and utilities each year is $15,600. (Option D)

Rent and utilities refer to the amount paid each month for utilization of accommodation and for utility services which are products, services and equipment related to energy, telecommunications, water, and sewerage respectively.

Based on the information provided in the salary analysis table, Amy’s monthly rent and utilities are:

Total = Amy’s Rent + Amy’s Utilities = $1100 + $200 = $1300

As there are 12 months in a year, the yearly total is:

Total = $1300 x 12 = $15,600

Hence, the amount Amy is expected to pay on rent and utilities each year is $15,600.

Note: The question is incomplete. The complete question probably is Amy is analyzing a job offer. How much should she expect to pay on rent and utilities each year? A) $1,300 B) $2,400 C) $13,200 D) $15,600.

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Answer:

---------------------------------

Mia has 5 bottles of water, it gives her:

Within this 10 miles Mia can eat a snack twice and this will limit her further run.

The items Mia has allow her to run 10 miles maximum.

Answer:

12 miles

Step-by-step explanation:

Given information:

Mia drinks water after every 2 miles she runs.  Therefore, if Mia has packed 5 bottles of water she can run:

⇒ 2 + 5 × 2 = 12 miles

Mia eats a snack after every 4 miles she runs.  Therefore, if Mia has packed 2 snacks she can run:

⇒ 4 + 2 × 4 = 12 miles

Therefore, Mia can run 12 miles with the items she has packed.

0 miles: Begins running.

2 miles: Drinks bottle 1.

4 miles: Drinks bottle 2 and eats snack 1.

6 miles: Drinks bottle 3

8 miles: Drinks bottle 4 and eats snack 2.

10 miles: Drinks bottle 5.

---------------------------------------------------------------

12 miles: Drinks another bottle.

Remember that Mia drinks a bottle of water after she has run 2 miles, and eats a snack after she has run 4 miles.

Therefore, drinking a bottle of water allows Mia to run for 2 further miles, and eating a snack allows her to run for 4 further miles.

So when she drinks her last bottle of water at 10 miles, she can only continue running for a further 2 miles before she needs to drink again.  As she doesn't have a 6th bottle of water, she will have to stop running at 12 miles.

Four different symmetry types are translation symmetry, rotational symmetry, reflection symmetry, and glide symmetry can be seen in a variety of contexts.

A balanced and proportionate likeness between two sides of an item is referred to as symmetry. It implies that one half is the other's mirror image. The term "line of symmetry" refers to the fictitious axis or line that may be used to fold a figure into symmetrical halves.

If an object exhibits translational symmetry, it indicates that no matter how it is translated, the thing remains unchanged. The translations for a particular object that fall under this constitute the object's symmetry group or, if the object has other types of symmetry, a subgroup of the symmetry group.

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In mathematics, a geometric series is defined as the sum of an infinite number of terms that have a constant ratio say "r" between successive terms.

a) Sum of first infinite geometric series is 49/8640

b) Sum of second infinite geometric series is 68/9.

In general, a geometric series is written as

a+ar+ar²+ar³+... ..

where 'a' is the coefficient of each term and 'r' is the common ratio between adjacent terms.

We have given that

a) 7²/12⁴ + 7³/12⁵ + ......

it is a geometric infinite series with a = 7²/12⁴and r = 7/12

we have find out the sum of series.

Using sum geometric infinite terms formula,

Sₙ= a /(1-r)

where, n = ∞ ; |r| <0

put all known values we get ,

Sₙ = 7²/12⁴ + 7³/12⁵ + ......

=> Sₙ = 7/12( 7/12³ + 7²/12² +---)

=> Sₙ = 7²/12³ ( 1 - 7/12)

=> Sₙ = 7²/12³ × 5/12

=> Sₙ = 49/8640

b) Second series is

16/9 + 4/3 + 1 + 3/4 + 9/16 + ------

= 16/9 + 4/3 +( 1 + 3/4 + 9/16 + ------ )

= 16/9 + 4/3 + ( 1 + 3/4 + (3/4)² + ------ )

= 16/9 + 4/3 + B

B = 1 + 3/4 + (3/4)²+ ------

it is geometric infinite series with a = 1 , r = 3/4

Sₙ = a/(1-r) = 1/(1- 3/4 ) = 1/1/4 = 4

16/9 + 4/3 + 1 + 3/4 + 9/16 + ------ = 16/9 + 4/3 + 4

= (16+16+36)/9 = 68/9

Hence, the sum of first geometric infinite series is

49/8640 and second series is 68/9.

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The value of the 60th term is -721 in given arithmetic progression or we call as AP

What is arithmetic progression?

The difference between every two successive terms in a sequence is the same; this is known as an arithmetic progression (AP).

It is possible to obtain a formula for the nth term of the AP using this kind of development.

A good example of an arithmetic progression (AP) is the series 2, 6, 10, 14,..., which follows a pattern in which each number is created by adding 4 to the previous term.

The nth term in this series equals 4n-2. You can get the sequence's terms by inserting n=1,2,3,...

Given:

-13, -25, -37, -49,..

a = -13

d = t₂ - t₁

= -25 - (-13)

= -25 + 13

d = -12

tₙ = a +(n-1) d

t₆₀ = -13 + (60-1) (-12)

= -13 + (59) (-12)

= -13 - 708

t₆₀  = -721

Hence, the value of the 60th term is -721 in given arithmetic progression.

complete question is

Find a formula for the

nth term, Tn, of the following arithmetic sequence:−13,−25,−37,−49

,. . . Hence, or otherwise, find the value of the 60th term,

T60

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The probability of getting 5 heads and 5 tails is 0.246

Given that,

No. of head = No of tail,

The probability of getting 5 heads and 5 tails

P(X = x ) = nCₓPˣQⁿ⁻ˣ

There x = 5, n=10 p= 1/2 and Q=1/2

P ( x = 1 ) = 10C₅(1/2)⁵(1/2)⁵

= 252 ( 0.000 9765625 )

P ( X = 5 )= 0.2460

First three flips are head stored no of Outcome 2^10 = 1024

X = {H,H,H....}

The remaining 7 position can be flued with Either head or tail

Therefore ,the possible favourable outcomes = 2^7

No of favourable outcomes

: P(X) =No of favorable outcomes /total no of outcomes

P(X) = 0.125

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