Kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds based on 11 trials.

The data can be stored on the entire reel is 66,355,200 bits.

Conversion could appear difficult, but this tip will make it simple for you to convert any unit. The fundamental rule is to multiply when converting from a larger unit to a smaller unit. Divide if you need to go from a smaller to a larger unit.

We have,

The 6-inch segment of tape stores 4608 bits of data.

Now, length of of reel = 1200 feet

= 1200 x 12

= 14,400 inch

So, the data that can be stored in reel

= 14,400 x 4608

= 66,355,200 bits

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The value of x and y are 32.02 and 13.3 respectively.

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

If a and b are the legs of the triangle and c is the hypotenuse, then,

c² = a²+b²

Triangle EFG is a right angled triangle so also triangle DEG

Therefore,

x² = 25²+20²

x² = 625 + 400

x² = 1025

x = √1025

x = 32.02

Also,

y² = 24² - 20²

y² = 576 - 400

y² = 176

y = √176

y = 13.3

Therefore the value of x and y is 32.02 and 13.3 respectively.

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Answer:

1. y = 3/2 x - 8

2. 2y-x = -4

3. y = -3/4x-2

4. -5x + 3y = -12

Answer 7/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

The radius is the length from the center dot to the circle.

They gave you the radius

r=6 1/4 in

The line of reflection is x-axis.

Given that, the triangle XYZ is drawn with vertices X(4, −5), Y(6, −1), Z(10, −8). we need to determine the line of the reflection if the X′(4, 5).

We know that the rule of the reflection over x-axis is

(x, y) → (x, -y)

Here, the y-intercept is changing its sign so we can say that the line of reflection is x-axis.

Hence, the line of reflection is x-axis.

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Answer:

b

Step-by-step explanation:just do it heh

Answer:

The Correct answer is D

the lower whiskers from 10 to 28

The probability that more than 8 and less than 12 customers pay in cash is 0.376 or 37.6%.

The probability that more than 8 and less than 12 customers pay in cash is calculated using the binomial probability formula:

where:

n is the number of trials = 15

x = customers who pay in cash

p = paying in cash, which is 0.4 according to the problem

The probability that more than 8 and less than 12 customers pay in cash. is the sum of the probabilities of 9, 10, and 11 customers paying in cash.

Using the binomial probability formula:

P(9) = 15C₉ * 0.4⁹ * 0.6⁶

P(9) = 0.212

P(10) = 15C₁₀ * 0.4¹⁰ * 0.6⁵

P(10) = 0.121

P(11) = 15C₁₁* 0.4¹¹ * 0.6⁴

P(11)= 0.043

Hence;

P(9 or 10 or 11) = 0.212 + 0.121 + 0.043

P(9 or 10 or 11) = 0.376

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Check the picture below.

[tex]\tan(18^o )=\cfrac{\stackrel{opposite}{x}}{\underset{adjacent}{18}} \implies 18\tan(18^o)=x \implies 5.8\approx x[/tex]

Make sure your calculator is in Degree mode.

Answer: 95 ft²

Step-by-step explanation:

      To solve for the surface area, we will find the area of all the sides and then add them together. We see that we have a square as the base and 4 congruent triangles.

For the square:

      A = LW

      A = (5 ft)(5 ft)

      A = 25 ft²

For one triangle:

      A = [tex]\frac{BH}{2}[/tex]

      A = [tex]\frac{(5\;ft)(7\;ft)}{2}[/tex]

      A = 17.5 ft²

For all four triangles:

      A = 17.5 ft² * 4 = 70 ft²

Total surface area by adding the triangles and square together:

       70 ft² + 25 ft² = 95 ft²

Solving the equation​ √(x - 3)³ - 64 = 0 for the variable x gives x = 19

From the question, we have the following parameters that can be used in our computation:

√(x - 3)³ - 64

Express as an equation

So, we have

√(x - 3)³ - 64 = 0

Add 64 to both sides of the equation

√(x - 3)³ = 64

Take the cube roots of both sides

So, we have

√(x - 3) = 4

Square both sides of the equation

This gives

x - 3 = 16

Add 3 to the equation

x = 19

Hence, the solution is x = 19

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Answer:

12

Step-by-step explanation:

PEMDAS (Parenthesis, exponents, multiplication/division, addition/subtraction

(-1)² + 5(4) - 9

1 + 5(4) - 9

1 + 20 - 9

=12

The surface area of the rectangular prism is 220 square inches

From the question, we have the following parameters that can be used in our computation:

5 in by 10 in by 4 in

The surface area of the rectangular prism is calculated as

Area = 2 * (5 * 10 + 5 * 4 + 10 * 4)

Evaluate

Area = 220

Hence, teh area is 220 square inches

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The experimental probability of the spinner landing on green is calculated as follows:

p = Number of times that the number 3 was generated/900 x 100%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

A green result is obtained when the number on the calculator is of 3, hence the experimental probability of the spinner landing on green is calculated as follows:

p = Number of times that the number 3 was generated/900 x 100%.

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Answer:

37/24

Step-by-step explanation:

You have to find the common denominator.

Answer: morton made 84% of his free throws.

Step-by-step explanation: 50 is half of 100

•multiply 42 by 2 because 50 is half of 100

The elimination method is a technique used to solve linear equations that comprise a system. The fundamental principle behind this methodology involves nullifying one of the variables.

It should be noted that to implement the elimination approach successfully, we must exclude either x or y, which can be accomplished by multiplying the second equation by an amount necessary to make the coefficient of y consistent in both the equations:

With x's value now discerned, we can insert it into any of the original equations to calculate y. This explains the method.

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The missing terms in the logarithmic equation are solved

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

a)

log₄ 11 + log₄ 5 = log₄ ( a )

Now , the value of a is

From the logarithmic properties , we get

log A + log B = log AB

So , a = 11 + 5 = 16

b)

log₅ 3 - log₅ ( a ) = log₅( 3/5 )

From the logarithmic properties , we get

log A − log B = log A/B

So , a = 5

c)

log₇ 8 = 3 log₇ ( a )

From the logarithmic properties , we get

log Aⁿ = n log A

8 = 2³

So , a = 3

Hence , the logarithmic equation is solved

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The equivalent expression to  4√3 is  √48 or 6.928.

An equivalent expression is an expression that has equal value to the original given expression.

From the given expression, we can determine its equivalent expression as follows;

The given expression = 4√3

We can square 4 and multiply it by 3 and enclose all with the square root.

4√3 = √(4² x 3 )

= √ ( 16 x 3 )

= √ ( 48 )

= 6.928

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To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:

1. Reflect A over the y-axis to get A': (-2, 2)

2. Reflect A' over the x-axis to get A'': (-2, -2)

Therefore, the new point A'' is (-2, -2).

The approximate number of female members of the army reserve in 2019 was 75,467.

If 2 out of every 5 members of the army reserve were female, then the proportion of female army reserve personnel can be represented as:

=  2/5

= 0.4.

Now, we can multiply the proportion to total number of army reserve to get the number of female members which is:

= 0.4 x 188,667

= 75,466.80

= 75,467

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The set of integers that will be in A but not B and C will be 24, 32, 40,

The multiples of 8 comprise a set of {8, 16, 24, 32, 40, ...}, while the multiples of 4 correspond to {4, 8, 12, 16, 20, ...} and  those of 2 are documented as {2, 4, 6, 8, 10, …}. The intersection of these two sets, B and C (B ∩ C = {4, 8, 12, 16, 20, ...}) remains unchanged.

It should be noted that to obtain the number of integers found in the multples of 8 that aren’t multiples either of 4 or 2, the intersection needs to be excluded from set A. This will yield {24, 32, 40, ...} - thus it is concluded that the integer set of multiples of 8, but not of 4 or 2, is {24, 32, 40, ...}

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The probability of tossing exactly 2 tails is 0.375.

We have,

A coin is tossed three times.

So, the outcomes can either be a head or a tail.

The possible outcomes when a coin is tossed three times are:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Now, the Pr(tossing exactly 2 tails)

= 3/8

= 0.375

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The joint costs allocated to Product B is $240,000.

We must allocate joint costs based on the relative physical quantities produced by each product.

The total physical quantity produced by both products is:

= Quantity of A + Quantity of B

= 10,000 + 40,000

= 50,000 pounds

We will calculate the proportion of physical quantity produced by product A:

= Quantity of B / Total physical quantity

= 40,000 / 50,000

= 0.8

The amount of joint costs allocated to Product B is will be

= Total joint costs x Proportion of

= $300,000 x 0.8

= $240,000.

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The area under the curve (since the function of the parabolic expression is y = x - x²) is 1/6 square units.

A parabolic function has an expression represented as f(x) = ax² + bx + c, which allows solving for x using either the factorization method or applying the quadratic formula. By zeroing out this expression, it becomes possible to determine its roots as with any quadratic equation.

In the case of the above function:

To find the area under the curve, above the x-axis, we need to integrate the parabolic expression from 0-1

that is:

∫[0,1](x-x²)dx

This is evaluated using the power rule

∫[0,1](x-x²)dx = [1/2x² - 1/3x³) fro x= 0 to x = 1

inserting the limits of the integration, we have:
[1/2 (1) ² - 1/3 ( 1) ³] - [1/2 (0)² - 1/3 (0) ³]

Simplified, and we have :

Area  = 1/2 - 1/3

Thus, Area under the curve = 1/6

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Answer:

Length = 120 yards, width = 30 yards.

Step-by-step explanation:

Lets use [tex]l[/tex] for length and [tex]w[/tex] for width.

The perimeter of a rectangular field is [tex]2l + 2w[/tex]. We can construct the following equations:

[tex]4w = l[/tex].

[tex]2l + 2w = 300.[/tex]

If we plug [tex]4w[/tex] in for [tex]l[/tex] into the second equation, we get:

[tex]2w + 2(4w) = 300.[/tex]

[tex]2w+8w = 300.[/tex]

[tex]10w = 300.[/tex]

[tex]w= 30.[/tex]

Plug 30 in for [tex]w[/tex] into the first equation.

[tex]l = 4*30 = 120.[/tex]

Length = 120 yards, width = 30 yards.

If the length of the road in miles is 65, then in meters is approximately 104607.1 meters.

To convert miles to meters, we need to use a conversion factor. There are 1609.34 meters in one mile. So, to convert 65 miles to meters, we can multiply 65 by 1609.34.

65 miles * 1609.34 meters/mile = 104607.1 meters

The units when making conversions. Miles and meters are units of length, but they are not the same. To convert from one unit to another, we need to use a conversion factor that relates the two units. In this case, we used the conversion factor of 1609.34 meters per mile to convert from miles to meters.

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