if you wanted to test, using a 5% significance level, whether or not a specific slope coefficient is equal to one, then you should

Answer:

C: 38 units

hope this helps!!

Answer:

The value of x is 68, all the angles in a parrelelogram equal 360, 68 + 112 + 112 + x = 360, all the angles are 292, and subtracted from 360 you get 68

Step-by-step explanation:

The given p, α, and i using the exponentiation by squaring algorithm.

To prove that 2 is a primitive root of 11, to show that every integer a with 1 ≤ a ≤ 10 can be expressed as a ≡ 2²i (mod 11) for a unique i with 0 ≤ i ≤ 9.

verify this by checking the powers of 2 modulo 11:

2² ≡ 1 (mod 11)

2²≡ 2 (mod 11)

2² ≡ 4 (mod 11)

2³ ≡ 8 (mod 11)

2² ≡ 5 (mod 11)

2³ ≡ 10 (mod 11)

2³ ≡ 9 (mod 11)

2³ ≡ 7 (mod 11)

2² ≡ 3 (mod 11)

2³ ≡ 6 (mod 11)

The remainders obtained from the powers of 2 cover all the integers from 1 to 10 modulo 11. Additionally, each remainder is unique, express any integer between 1 and 10 as a power of 2 modulo 11.

To find log₂(9), to determine the exponent i such that 9 (mod 11). From the list of powers of 2 above, that 2³= 9 (mod 11). Therefore, log₂(9) = 6.

A given p, α, and i, where α is a primitive root of p and i is the discrete logarithm or index use the algorithm of exponentiation by squaring.

The algorithm for computing a given p, α, and i is as follows:

Set result = 1.

Initialize a binary representation of i, e.g., i = b[m]b[m-1]...b[1]b[0].

For j from m to 0:

a. Square the current result: result = result × result (mod p).

b. If bj = 1, multiply the current result by α: result = result × α (mod p).

Return the final result.

This algorithm takes advantage of the binary representation of i to compute a efficiently. By squaring the current result and multiplying by α only when necessary, compute a in logarithmic time complexity with respect to i.

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Answer:

A. the domain is all real numbers. and

B.the y-intercept is 3

Yeah, it seems fine so you're doing great so far! ^^

Step-by-step explanation:

....................

Answer:

Easy... its 39.4

Step-by-step explanation:

Cirumference is the lenght all the way around the circle

while radius is only half the circle so you just divide the cirumference by 2 to get half.

Answer:

12.54

Step-by-step explanation:

The work done in lifting the lower end of the chain to the ceiling is 833.33 ft·lb.

To find the work done in lifting the lower end of the chain to the ceiling, we can use the concept of work as the integral of force over a displacement.

Let's consider a small segment of the chain of length dx at a distance x from the lower end. The weight of this small segment can be approximated as the weight of a point mass located at its midpoint, which is x/2 ft from the lower end. The weight of this small segment is then (25 lb/10 ft) * (x/2 ft) = (5/2) * x lb.

To calculate the work done in lifting this small segment, we need to multiply the weight by the distance it is lifted. The distance lifted is simply x ft.

So, the work done in lifting this small segment is (5/2) * x lb * x ft = (5/2) * x^2 ft·lb.

To find the total work done in lifting the entire chain, we need to sum up the work done for all the small segments. We can express this as an integral:

W = ∫[0, 10] (5/2) * x^2 dx

Integrating this expression:

W = (5/2) * (x^3/3) |[0, 10]

W = (5/2) * (10^3/3) - (5/2) * (0^3/3)

W = (5/2) * (1000/3)

W = (5000/6) ft·lb =833.33

Therefore, the work done in lifting the lower end of the chain to the ceiling is 833.33 ft·lb.

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Answer:

x = 15

Step-by-step explanation:

angle FoH = 360° - 90° - 90° - angle G

= 180° - 75°

= 105°

17x° = 360° - angle FoH

17x° = 360° - 105°

17x° = 255°

x = 255 ÷ 17

x = 15

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer:

42

Step-by-step explanation:

(4 +3) ×(7-1) =

7 ×6 =

42

Answer:

There are approximately 24 ways to order them to form a line

The volume of ball is 32.49 cubic centimeter.

What is volume ?

 Every three-dimensional item takes up space in some way. The volume of this area is what is used to describe it. The area occupied within an object's three-dimensional bounds is referred to as its volume. The object's capacity is another name for it.

Here ,

The volume of a ball = 32490 cubic millimeters

To convert into cubic millimeter into cubic centimeter by dividing by 1000, Then,

=>  32490/1000

=> 32.49 cubic centimeter.

Hence the volume of ball in cubic centimeter is 32.49 .

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Answer:

-5 and -3 could both work in this situation

Step-by-step explanation

-5 + 4 = -1

| -1 | = 1

-3 + 4 = 1

| 1 | = 1

There is a linear relationship between the number of absences and grade point average.

The total number of absences depend on the number of students enrolled in a class. Therefore, a measure independent of the number of students is needed. This leads to the introduction of the concept of normalized absences.

It is defined as: Number of Absences / (Number of Students x Number of Contact Hours).

A Final Grade is the installation of specific materials - such as screened topsoil - on top of a clay base called, "Rough Grade" that promotes proper drainage and flow of excess water away from existing structures.

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Using the binomial distribution, there exists a 0.9983 = 99.83% probability that at most eleven of the thirteen babies exists girls.

The formula exists:

\($&P(X=x)=C_{n, x} \cdot p^{x} \cdot(1-p)^{n-x} \\\)

The parameters exists:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

The values of the parameters are: p = 0.5 and n = 13

The probability that at most eleven of the thirteen babies are girls is:

\($P(X \leq 11)=1-P(X > 11)$$\) then

\($P(X > 11)=P(X=12)+P(X=13)$$\)

By using the binomial distribution formula

\($&P(X=x)=C_{n, x} \cdot p^{x} \cdot(1-p)^{n-x} \\\)

substitute the values in the above equation, we get

\($&P(X=12)=C_{13,12} \cdot(0.5)^{12} \cdot(0.5)^{1}=0.0016 \\\)

\($&P(X=13)=C_{13,13} \cdot(0.5)^{13} \cdot(0.5)^{0}=0.0001\)

So, \($&P(X > 11)=P(X=12)+P(X=13)\)

\(=0.0016+0.0001=0.0017 \\\)

\($&P(X \leq 11)=1-P(X > 11)\)

\(=1-0.0017=0.9983\)

0.9983 = 99.83% probability that at most eleven of the thirteen babies exists girls.

Therefore, the correct answer is option c. 4089/4096

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Answer:

x= -1 and y= -1

Step-by-step explanation:

Answer:

(-1,-1)

Step-by-step explanation:

-6x+5y=1

6x+4y=-10

Add the two equations together to eliminate x

-6x+5y=1

6x+4y=-10

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

9y     = -9

Divide by 9

9y/9 = -9/9

y= -1

Substitute back into one of the equations to find x

-6x+5y=1

-6x +5(-1) = 1

-6x -5 = 1

Add 5 to each side

-6x -5+5 = 1+5

-6x = 6

Divide by -6

-6x/-6 = 6/-6

x = -1

(-1,-1)

In linear equation, 17 seconds it will take to do a complete gaussian elimination of this size.

What are a definition and an example of a linear equation?

Given that your computer completes a 5000 equation back substitution in 0.005 seconds.

then here Work is: n = 5000 and its rate is = (n2) / 0.005 = 5000000000

and Given formula : The approximate operation counts = ((2n^3)/3) = (2.0 * (n3)) / 3.0 = 83333333333.33

then we can found time = operations / rate = 83333333333.33/5000000000 = 16.67 = 17 seconds

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Answer:

x=-1

Step-by-step explanation:

Group like terms

Answer: 1 brush

Step-by-step explanation:

So first we take 1448 divided by 35 = 41 gallons will be the greatest number of gallons he can buy. 41 times $35 = $1435, then we subtract 1448 by 1435 and get $13. So he can only buy 1 brush

Answer:We draw the graphs of the lines x + 2y = 8 and 2x + y = 8 The inequality (1) and (2) represent the region below the two lines including the point on the respective lines

Since x≥0,y≥0 every point in the shaded region in the first quadrant represent a solution of the given system of inequalities

Step-by-step explanation:

Answer:

thanks glob glo glum ga lib

Answer: x=6-3y

Step-by-step explanation:

The average student complete after 12 lessons is 57.74 entries per minute.

To find s(x), we need to integrate ds/dx with respect to x:

ds/dx = 9(x + 4)^(-1/2)

Integrating both sides, we get:

s(x) = 18(x + 4)^(1/2) + C

To find the value of C, we use the initial condition that the average student can complete 36 entries per minute with no lessons (x = 0):

s(0) = 18(0 + 4)^(1/2) + C = 36

C = 36 - 18(4)^(1/2)

Therefore, s(x) = 18(x + 4)^(1/2) + 36 - 18(4)^(1/2)

To find how many entries per minute the average student can complete after 12 lessons, we simply plug in x = 12:

s(12) = 18(12 + 4)^(1/2) + 36 - 18(4)^(1/2)

s(12) ≈ 57.74 entries per minute

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The average student can complete 72 entries per minute after 12 lessons.

To find the data entry speed as a function of the number of lessons, we need to integrate the rate of change equation with respect to x.

Given: ds/dx = 9(x + 4)^(-1/2)

Integrating both sides with respect to x, we have:

∫ ds = ∫ 9(x + 4)^(-1/2) dx

Integrating the right side gives us:

s = 18(x + 4)^(1/2) + C

Since we know that when x = 0, s = 36 (no lessons), we can substitute these values into the equation to find the value of the constant C:

36 = 18(0 + 4)^(1/2) + C

36 = 18(4)^(1/2) + C

36 = 18(2) + C

36 = 36 + C

C = 0

Now we can substitute the value of C back into the equation:

s = 18(x + 4)^(1/2)

This gives us the data entry speed as a function of the number of lessons, s(x).

To find the data entry speed after 12 lessons (x = 12), we can substitute this value into the equation:

s(12) = 18(12 + 4)^(1/2)

s(12) = 18(16)^(1/2)

s(12) = 18(4)

s(12) = 72

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Answer:

x<-8 is answer

Step-by-step explanation:

I got the big maths

I'll write in the format (x;y) where x is the salad dressings amount, and y is the amount of servings.

We can see the line goes through the points (1;2) , (2;4) , (3;6) ...

So, the amount of servings are doubled the amount of salad dressings she need to use. (1 cup every 2 servings, 2 cups every 4 servings, etc.)

-> Leslle used half a cup of salad dressing for every serving of salad (B)

Answer:

B.

Step-by-step explanation:

Remember the first value is called the x-coordinate and the second value is the y-coordinate.

Find the first point the line crosses over.

So let's take the point (2,1).

As you can see that for every 2 servings Leslie uses 1 salad dressing cup,

2 to 1

Now look at the answers,

So you can are ready mark off A since it is not true,

You can mark off C since the line does not cross over points (1,4),

You can mark off D since the line does not cross over points (1,2),

That leaves you with B,

To check if it is true you need to find how much salad dressing cups are in one serving,

To do that you need to divide by 2 on both sides,

2÷2=1

1÷2=\(\frac{1}{2}\)

your new rate is 1 to \(\frac{1}{2}\)

So B is your answer.

What is 16% of 78? Round to the nearest tenth.

16% = 0.16

so:

0.16 * 78 = 12.48

round:

12.5

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

The probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

Without loss of generality, we can assume that Alice selects a ball from her bag and puts it into Bob's bag first.

At the start, there are a total of 5 balls in each bag, so the probability of Bob selecting the same ball that Alice put into his bag is 1/5. After this exchange, each bag now contains 6 balls.

Now, Alice randomly selects a ball from her bag, which has 6 balls in total. The probability of Alice selecting the same ball that Bob put into her bag is also 1/6.

To find the overall probability, we multiply the probabilities of both events occurring:

Probability = (1/5) \(\times\)(1/6) = 1/30.

Therefore, the probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

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Answer:

x = 1

Step-by-step explanation:

2(x - 2)= -2

2x - 4 = -2

2x = 2

x = 1

Answer:

x = 1

Step-by-step explanation:

2(x - 2) = -2

Solve for x

Divide each side by 2

2/2(x - 2) = -2/2

x-2 = -1

Add 2 to each side

x - 2+2 = -1+2

x = 1

Answer:

49 degrees

Step-by-step explanation:

recall that in a triangle, the angles add up to 180.

so let's set up the equation

x+2x+(x-16)=180 degrees

4x-16=180

4x=196

and so

x=49 degrees

hope this helped

make sure to convert x into angles for each of the angles if it asks for the angles (plug the values in, so 2x-10 would be 2(49)-10, which is 88 i think

(yes, this is copied from my comment)