suppose that a was generated uniformly at random from all 8 byte strings. what is the probability that the second binary digit of a is 1?

The weight that corresponds to each event can be calculated using the mean and standard deviation of the normally distributed random variable.

Since the weight of a small Starbucks coffee follows a normal distribution with a mean of 390 grams and a standard deviation of 9 grams .We can use the properties of the normal distribution to find the weight corresponding to each event. To find the weight corresponding to a specific event, we can use the z-score formula: z = (x - μ) / σ, where x is the weight, μ is the mean, and σ is the standard deviation. Rearranging the formula, we have x = z * σ + μ. For example, to find the weight corresponding to an event with a z-score of -1.5, we can substitute the values into the formula:

x = (-1.5) * 9 + 390

x = 375.5 grams.

The weight corresponding to the event with a z-score of -1.5 is 375.5 grams. Using the z-score formula, we can find the weight for any desired event we can use the properties of the normal distribution to find the weight corresponding to each event.

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Answer:

80% of the fish in the school pond are goldfish.

Step-by-step explanation:

To find the percentage of goldfish in the pond, we need to divide the number of goldfish by the total number of fish and multiply by 100.

percent of goldfish = (number of goldfish / total number of fish) x 100%

So, in this case:

percent of goldfish = (296 / 370) x 100%

percent of goldfish = 0.8 x 100%

percent of goldfish = 80%

Answer:

25%

Step-by-step explanation:

About 25% of gyms in Shanesville have fewer than 56 gym members.

The correct answer is option (2).

"Interquartile range = Q3 - Q1"

"It is a number or ratio that can be expressed as a fraction of 100."

For this example,

Q1 = 56

Q2 (median) = 64

Q3 = 70

So, the interquartile range is,

⇒ 70 - 56 = 14

Let 'x' be the number of gyms in Shanesville have fewer than 56 gym members.

so, the percent of gyms in Shanesville have fewer than 56 gym members would be,

⇒ 14 / x = 56

⇒ x = 14 / 56

⇒ x = 1/4

⇒ x =  0.25

The percentage of 'x' would be,

⇒ 100 × 0.25 = 25 %

Therefore, about 25% of gyms in Shanesville have fewer than 56 gym members.

The correct answer is option (2).

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Answer: -6

Step-by-step explanation:

5/-5 is -1

-1-5 =--6

Answer:4

Step-by-step explanation:

H= 2*26/5+8

Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).

A function is a relation between sets that assigns to each element of a first set, exactly one element of the second set. Functions are typically written as an equation, with the first set (the domain) on the left side and the second set (the range) on the right side. The most common type of function is a function from real numbers to real numbers, which is often referred to as a real-valued function. Examples of real-valued functions include linear, polynomial, exponential, and trigonometric functions.


False. F(x) = logx xlogx 5 is not ω(logx). ω(logx) is a notation used to denote a function that grows faster than logx as x approaches infinity. However, F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. To prove this, we can calculate the limit of F(x) as x approaches infinity:

lim F(x) = lim (logx xlogx 5)

= lim (logx xlogx) lim 5

= ∞∞ 5

= ∞

Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).

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Respuesta:

x = 5.656854249

Explicación paso a paso:

[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]

x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]

x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]

x = 5.656854249

Answer:

i believe the third one so this  37 < r ≥ 42 Step-by-step explanation:

Answer:

  (a)  r < 37 or r ≥ 42

Step-by-step explanation:

Translating the given relations to math symbols, we have ...

  "less than 37 minutes"  ⇒  r < 37

  "no less than 42 minutes"  ⇒  r ≥ 42

__

Written as a single statement, this is ...

  r < 37 or r ≥ 42

_____

Additional comment

The solution regions are disjoint, so an "or" statement must be used. The form ...

  37 > r ≥ 42

cannot be used, because it is false that 37 > 42.

Answer:

0.5

Step-by-step explanation:

0.5

I guess i am 70% sure

The homothet coefficients and the value of x are

The homothet coefficient by definition and in this context, is the scale factor of dilation

Using the above as a guide, we have the following:

Figure (a)

If the image of point P is P′, then

Homothet coefficient = 18/9

Homothet coefficient = 2

Also, we have

x/9 = 35/18

x = 9 * 35/18

x = 17.5

Figure (b)

If the image of point P is P′, then

Homothet coefficient = 15/9

Homothet coefficient = 5/3

Also, we have

x/10 = 15/9

x = 10 * 15/9

x = 50/3

Figure (c)

Here, we have

Homothet coefficient = 15/6

Homothet coefficient = 5/2

Also, we have

x/2 = 15/6

x = 2 * 15/6

x = 5

Hence, the value of x is 5

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The measure of ZAFD is 50 degrees.

Based on the given information:

ZCFE is congruent to ZCFA.

mZCFB = 68°.

mZEFD = 62°.

To find the measure of ZAFD, we can use the fact that angles in the same segment of a circle are equal.

Since ZCFE and ZCFA are congruent, angle ZCFE is equal to angle ZCFA.

Therefore, mZCFA = mZCFE.

Now, let's find the measure of angle ZCFE:

mZCFE = mZCFB + mZEFD (Angle Addition Postulate)

mZCFE = 68° + 62°

mZCFE = 130°

Since ZCFA is congruent to ZCFE, we can conclude that mZCFA is also equal to 130°.

Now, to find the measure of ZAFD, we need to consider the angles in the quadrilateral ZAFD.

The sum of the angles in a quadrilateral is always 360°.

mZAFD + mZAFB + mZBFD + mZBFA = 360°

We know that mZAFB and mZBFD are equal to 90° because they are right angles (angle AFB and angle BFD are right angles in the diagram).

Therefore, we can rewrite the equation as:

mZAFD + 90° + 90° + mZBFA = 360°

Simplifying:

mZAFD + 180° + mZBFA = 360°

Rearranging the equation:

mZAFD + mZBFA = 360° - 180°

mZAFD + mZBFA = 180°

We know that mZBFA is equal to mZCFA, which is 130°.

Substituting the known values into the equation:

mZAFD + 130° = 180°

Subtracting 130° from both sides:

mZAFD = 180° - 130°

mZAFD = 50°

Therefore, the measure of ZAFD is 50 degrees.

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Answer:

Step-by-step explanation:

For this problem, it says that the company not only shipped packages, but also bought a number of stamps. From the equation 6.70+0.50x, it's fairly easy to say that 6.70 is the packages,

What's not so easy is figuring out whether or not 0.50 is the stamps, or x is. However, there's an easy way to figure it out!

From this one, we would have to use "common sense" (not my words, someone elses). Using "common sense", we have to think, can someone buy 0.50 of a stamp?

Technically yes... But would someone buy 0.5 of a stamp? Not really.

So we can safetly assume that x is the "stamp", and 0.50 is the cost of the stamp.

Hope this helps!

Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

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The estimated diffusion coefficient of formaldehyde in air at 8.3°C and 150 atm is approximately 3.48 × 10^−4 cm^2/s.

the Fuller-Schettler-Giddings equation is commonly used to estimate the diffusion coefficient. To calculate the diffusion coefficient of formaldehyde (COM; MW = 30.03 g/mol) in air (MW = 28.97 g/mol) at 8.3°C and 150 atm, we can use the following steps:

1. Convert the temperature from Celsius to Kelvin:
  - Add 273.15 to the temperature in Celsius to get the temperature in Kelvin.
  - In this case, 8.3°C + 273.15 = 281.45 K.

2. Use the Fuller-Schettler-Giddings equation, which is given by:

  \(D_AB\)\(= (1.858 × 10^−4) × ((T / P) × (M_B / M_A)^0.5)\)

  - \(D_AB\) represents the diffusion coefficient of A in B.
  - T is the temperature in Kelvin.
  - P is the pressure in atm.
  - \(M_B\)and M_A are the molar masses of B and A, respectively.

3. Plug in the values:
  - T = 281.45 K (from step 1)
  - P = 150 atm (as mentioned in the question)
  - \(M_B\)= 28.97 g/mol (molar mass of air)
  - \(M_A\)= 30.03 g/mol (molar mass of formaldehyde)

4. Calculate the diffusion coefficient:

\(- D_AB = (1.858 × 10^−4) × ((281.45 K / 150 atm) × (28.97 g/mol / 30.03 g/mol)^0.5)\)

Therefore, the estimated diffusion coefficient of formaldehyde in air at 8.3°C and 150 atm is approximately 3.48 × 10^−4 cm^2/s.

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Step-by-step explanation:

The formula of area of a circle is πr²

Since they only gave the diameter, remember that half of the diameter is the radius.

So to find the radius of the circle, it's

14m ÷ 2 = 7m

Then now we find the area using πr²

π × 7²m

= 49π square meters

Answer:

8.41

Step-by-step explanation:

Answer:

it's 8.41

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Let's find the first term in terms of p.

So an arithmetic sequence is a linear relation.

That means it will have the same slope no matter the pair of points used. We are given the slope, the common difference, is 2. We are going to use point (9, 3+3p) and (1, t(1)) along with m=2 to find t(1).

[t(1)-(3+3p)]/[1-9]=2

Simplify denominator

[t(1)-(3+3p)]/[-8]=2

Multiply both sides by -8

t(1)-(3+3p)=-16

Add (3+3p) on both sides

t(1)=-16+3+3p

Combine like terms

t(1)=-13+3p

This means we can find the next term by adding 2 this.

t(2)=-11+3p

Let's find the next term by adding 2 this.

t(3)=-9+3p

Finally we can find the 4th term by adding 2 to this

t(4)=-7+3p

We are given the sum of the first 4 terms is 2p-10. So we can write:

-13+3p+-11+3p+-9+3p+-7+3p=2p-10

Combine like terms on left

12p-40=2p-10

Subtract 2p on both sides

10p-40=-10

Add 40 on both sides

10p=30

Divide both sides by 10

p=3.

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

Checking:

t(1)=-13+3p=-13+3(3)=-13+9=-4

t(2)=-11+3p=-11+3(3)=-11+9=-2

t(3)=-9+3p=-9+3(3)=-9+9=0

t(4)=-7+3p=-7+3(3)=-7+9=2

----sum of the first 4 is -4

And 2p-10 at p=3 gives 2(3)-10=6-10=-4

So this part checks out

In general, the pattern that those 4 terms I wrote out follow t(n)=(-13-2)+2n+3p. I know this because the 0th term would have been (-13-2)+3p and this part goes up by 2 each time. The plus 3p part doesn't change.

Anyways t(9)=(-13-2)+2(9)+3p=-15+18+3p=3+3p. And this part looks good too.

We will see that the given equation is false for all values of z, thus, the equation has no solutions.

Here we have the absolute value equation:

3*|2z + 9| + 12 = 10

To solve this we first need to isolate the absolute value part, so let's do that:

3*|2z + 9| + 12 = 10

3*|2z + 9| = 10 - 12 = -2

|2z + 9| = -2/3

Now, remember that the absolute value is always a positive quantity, then the above equation is false, an absolute value never can be equal to a negative number.

Then our equation has no solutions.

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Answer: The length of each leg is 10 inches.

Step-by-step explanation: The triangle in question has been described as a right angled triangle, which implies that one side measures 90 degrees. It ia also described as an isosceles triangle. An isosceles triangle has two sides being equal, and also the two angles facing the two equal sides also measure the same.

If a right angled triangle is given as isosceles, then it means the hypotenuse (which is the side facing the right angle) is not one of the equal sides. The other two sides apart from the hypotenuse are the sides with equal measurement.

The area of a triangle is given as

Area of triangle = 1/2 (b*h)

Where b (the base) is one of the equal legs, and h (the vertical height) is the other leg equal to b.

Hence, the area can be re-written as follows;

Area of a triangle = 1/2 (b*h)

50 = 1/2 (b*h)

By cross multiplication, you now have

50 *2 = b*h

100 = b*h

Having already determined that b equals h,

100 = h²

Alternatively

100 = b²

Therefore, adding the square root sign to both sides of the equation, you now have

√100 = √h²

10 = h

Therefore, the length of each leg, both base and height is 10 inches

Answer:

8

Step-by-step explanation:

8 x 3 = 24

24 - 4 = 20

The robot would have to take 5 / 46 hours in order for it to be able to complete one task

In order to solve for the time that it would take to complete one task, we would have to make a ratio.

That is

5/6 hours = 8 tasks

? = 1 task

Then we would have to cross multiply

5 / 6 x 1 task = 8 tasks x ?

divide through the equation that we have here by 8 tasks

5/6/8

= 5/6 * 1/8

= 5/46

Hence we would say that the time that it would have to take for one task to be completed would be 5 / 46 hours

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Answer: −8x+24y+72

-8(x - 3y - 9)

=(-8)(x + -3y + -9)

=(−8)(x)+(−8)(−3y)+(−8)(−9)

=−8x+24y+72

Step-by-step explanation:

im not entirely sure but i hope this helps

:) have a nice day !!

Answer:

1716

Step-by-step explanation:

here we have to form arrangements of 3 students

taken from 13 students.

• Where order is important because the positions President, Vice President and Treasurer are not the same.

• also ,repetition is not allowed ,because one student can’t occupy two positions at the same time.

Then ,the number of possible ways

is equal to the number of permutations :

= 13P3

= 13×12×11

= 1716

Answer: yes

Step-by-step explanation:

Answer:

40°, 60° and 80°

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 + 4 = 9 parts

Divide 180° ( sum of angles in a triangle) by 9 to find the value of one part of the ratio.

180° ÷ 9 = 20° ← value of 1 part of the ratio , then

2 parts = 2 × 20° = 40°

3 parts = 3 × 20° = 60°

4 parts = 4 × 20° = 80°

The angles in the triangle are 40°, 60°, 80°

This is the Taylor series expansion for the function f(x) = x⁴ - 6x² + 1 centered at a = 2.

What is Taylor Series?

In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the derivative of the function at a single point. For most common functions, the function and the sum of its Taylor series near this point are the same.

To find the Taylor series for the function f(x) = x⁴ - 6x² + 1 centered at a = 2, we can use the formula for the Taylor series expansion:

f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ...

First, let's find the values of f(a) and its derivatives at x = a = 2:

f(2) = (2)⁴ - 6(2)² + 1 = 16 - 24 + 1 = -7

f'(x) = 4x³ - 12x

f'(2) = 4(2)³ - 12(2) = 32 - 24 = 8

f''(x) = 12x² - 12

f''(2) = 12(2)² - 12 = 48 - 12 = 36

f'''(x) = 24x

f'''(2) = 24(2) = 48

Now, we can substitute these values into the Taylor series formula:

f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ...

f(x) = -7 + 8(x - 2)/1! + 36(x - 2)²/2! + 48(x - 2)³/3! + ...

Simplifying the terms:

f(x) = -7 + 8(x - 2) + 18(x - 2)² + 8(x - 2)³ + ...

This is the Taylor series expansion for the function f(x) = x⁴ - 6x² + 1 centered at a = 2.

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Answer:

it's the last one

Step-by-step explanation:

the last one is the correct one

Answer:

A'

Step-by-step explanation:

it looks promising ngl ;))