with my internet connection, my computer estimated that it would take 18 sec to download an 890-KB file. what is the transfer rate in gigabytes (GB) per day

step by step please ​

The probability that player a wins is approximately 0.189 or 18.9%.

The probability of Player A winning can be calculated by adding the probability of both players rolling different values and Player A getting a higher value, as well as the probability of both players rolling the same value (in which case Player A wins by default).

To calculate the probability of both players rolling different values and Player A getting a higher value, we can calculate the probability of each possible combination of rolls and sum them up. There are a total of 50 * 40 = 2000 possible combinations of rolls. Out of these, 50 of them result in Player A rolling the highest value, and 400 result in Player B rolling the highest value. Therefore, the probability of Player A winning in this scenario is 50 / (50 + 400) = 50 / 450 = 1/9.

The probability of both players rolling the same value can be calculated as the minimum of the number of sides of the two dice, which is 40, divided by the maximum number of sides, which is 50. Therefore, the probability of both players rolling the same value is 40/50 = 8/10.

Finally, the overall probability of Player A winning can be calculated as the sum of the above two probabilities:

P(Player A wins) = P(different values and Player A higher) + P(same values)

= 1/9 + 8/10

= 17/90

= approximately 0.189 or 18.9%.

Learn more about Probability of Winning Dice here:

https://brainly.com/question/14974270

#SPJ4

As per the combination method, the number of ways can the bike be filled is 10

The term called combination method is defined as a way of adding equations together in such a way that the variables are set aside, one by one.

Here we have know that the motorbike can carry 3 people: the driver, one passenger behind the driver and one in the sidecar.

Here we have also know that among 5 people only two can drive.

Which defines that the value of n is 5 and the value of r is 2.

Then as per the ncr formula it can be calculated as,

=> ⁵n₂ = 5! / 2! (5 - 2)!

When we simplify this one then we get,

=>  ⁵n₂ = 5!/ 2! x 3!

=>  ⁵n₂ = 10

To know more about Combination method here,

https://brainly.com/question/28998705

#SPJ4

The Three options are

1.  m∠5 + m∠6 = 180°

2. m∠2+ m∠3 = m∠6.

3. m∠2 + m∠3 + m∠5 = 180°.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Consider ΔABC with Exterior angles as

∠ 1, ∠ 4 , and ∠ 6

Exterior angle Property of Triangle:

A triangle's exterior angle is equal to the sum of its inner angles on either side.

For Exterior ∠ 1 we have

m∠1 = m∠ 5 + m∠ 3

Similarly,

For Exterior ∠4 we have

∠ 4 = ∠ 5 + ∠ 2.

Similarly,

For Exterior ∠ 6 we have

∠ 6 = ∠ 2 + ∠ 3.

Triangle Sum Property:

The total of all the angles of a triangle equals 180°.

∴ m∠2 + m∠3 + m∠5 = 180°

Linear Pair:

A linear pair of angles must add up to 180 degrees since a straight angle has a measure of 180 degrees.

∴ m∠5 + m∠6 = 180°

Therefore, all the required values are given above.

To learn more about the angle measure;

brainly.com/question/14684647

#SPJ1

Looking at the logarithmic form [tex]log_a3[/tex].

3 corresponds to x.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

[tex]log_a3[/tex]

This means,

y = [tex]log_a3[/tex]

Where x = 3

So,

3 correspond to x

Thus,

3 correspond to x.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

Step-by-step explanation:

ABCD:-

CE=CF

Prove:y=x

y=x (x is opposite to y)

x=y

Hence,x=y and y=x.

rAnswer: x-intercept: (-0.75, 0)

y-intercept: (0, 3/7)

Step-by-step explanation: An x and y intercept is the point when the line crosses the x and y axis respectively. When a line crosses the x axis, the y value is 0 and when the line crosses y axis, the x value is 0. This means   we can set y and x equal to 0 and solve for the other variable.

To solve for the x intercept, we set y equal 0 so:

-4x + 7(0) = 3

-4x = 3

x = -(3/4)

so we get

(-3/4, 0) or (-0.75, 0) for our x int

For the y intercept we set x equal 0:

-4(0) + 7y = 3

7y = 3

y = 3/7

so we get

(0, 3/7) for our y int

The height of its triangular face is 7.5 millimeters.

As per the given data:

A triangular prism is 6.9 millimeters long.

l = 6.9 millimeters

A triangular face with a base of 15 millimeters.

b = 15 millimeters

The volume of the prism is 388.125 cubic millimeters.

V = 388.125 cubic millimeters

Here we have to determine the height of its triangular face.

h = ?

A polyhedron with two triangular bases and three rectangular sides is referred to as a triangular prism. It is a three-dimensional shape with three connected side faces and two connected base faces.

The formula for the volume of the triangular prism is:

V = [tex]$\frac{1}{2}[/tex] × ( l × b × h)

388.125 = 0.5 × ( 6.9 × 15 × h)

388.125 = 51.75 × h

h = [tex]$\frac{388.125}{51.75}[/tex]

h = 7.5 millimeters.

Therefore height is 7.5 millimeters.

For more questions on triangular prism

https://brainly.com/question/16755373

#SPJ4

The solution to the squared expression using the concept of squared numbers is; A: 144

When we say a number is squared, what it simply means is that the number is multiplied by itself. Thus, for example;

z² = z × z

y² = y × y

b² = b × b

We have the expression as;

(8² × 6²)/4²

Using the concept of squared numbers gives;

(8 × 8 × 6 × 6)/(4 × 4)

= (2 × 2 × 6 × 6)

= 144

Read more about Squared Numbers at; https://brainly.com/question/27307830

#SPJ1

A linear relationship is depicted by a trend line. Y = mx + b, where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept, is the equation for a linear relationship.

The change in y that results from a 1 unit increase in x is the slope of a line. In our example, the trend line would indicate that someone would be approximately 5.76 cm taller if they were one year older (x increases by 1). (y increases by 5.76).

Beer's law's equation is a simple, linear line with the general form of y = mx +b. where the slope, m, is equal to εl. 

To know more about slope visit:-

brainly.com/question/29184253

#SPJ1

The two points that represent the solution of the inequality graph are (-1,0) and (0,2).

The function of an inequality graph obeys the linear slope intercept form y= mx + b, but the distinction here is that the equal to sign (=) is represented with >, <, ≥, and ≤, as the case may be. So, we use, > and < when the line is dotted or dashed and  ≥, and ≤, when we have a solid line on the graph.

So, using the two points on the (-1,0) and (0,2), the slope of the graph is 2, and the y-intercept is also 2.

The linear representation of the graph is: y = 2x + 2, in its inequality form, sInce the graph is increasing from the left to the right and the line is solid; we have:

y  ≥ 2x + 2

Therefore, we can conclude that the function of the graph is y  ≥ 2x + 2 and the two points that represent the solution of the inequality graph are (-1,0) and (0,2).

Learn more about the interpretation of inequality graphs here:

https://brainly.com/question/11234618

#SPJ1

The TR-TC approach helps firms determine the optimal level of output and the corresponding number of workers needed to maximize profit. By finding the level of output where MR = MC, firms can ensure that they are producing the right amount of output at the lowest possible cost, thereby maximizing their profit.

The Total Revenue (TR) and Total Cost (TC) approach is used to determine the optimal level of output and the corresponding number of workers for a business to maximize its profit. This approach is based on the principles of microeconomics, which states that a profit-maximizing firm will produce the level of output at which its marginal cost (MC) equals its marginal revenue (MR).

Here you can learn more about Total Revenue (TR)

https://brainly.com/question/19089375#

#SPJ11

The given polynomials are discussed and grouped into each given category as given below.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

We can now look into each polynomial.

a) x³ + 125

   125 is a cube of 5 and also  x³  is the power of x.

So this is a perfect cube.

b) 8p³ - 27

    8p³ is a perfect cube of 2p and 27 is a perfect cube of 3.

So it is a perfect cube.

c) 12x³-9

    This is neither a cube nor a square.

d) a²-100

   100 is a perfect square and so is a².

So this is a difference of perfect squares.

e) 4m² + 25

4m² is a square of 2m and 25 is a square of 5.

But the operator is +

So this is neither a cube nor a difference of a perfect square.

f) 16x²-9

16x² is a square of 4x and 9 is a square of 3.

Also, the operator is -

So this is a difference of perfect squares.

Therefore the above polynomials are discussed and grouped into each given category accordingly.

To learn more about polynomials, follow the link.

https://brainly.com/question/15702527

#SPJ1

Answer:

see below

Step-by-step explanation:

z+66+z+69+43z=180

so 45z=180-66-69 = 45

so z=1

so angle U= 43 its opposite side length ST is the smallest

same logic for the other 2.

66+1=67

69+1=70

so ST<US <TU

The angle between 0 degrees and 360 degrees that is coterminal with the following angle 0=-1625 degrees is 175.

Angles on the same side of the same quadrant are said to be coterminal angles. We repeatedly add or subtract a 360° full revolution from the supplied angle in order to discover an angle that is coterminal with it.

To determine a coterminal angle with the provided angle between 0tp 360 we add 360 to the given angle:

-1625 + 360(5) = 175

Hence, the angle between 0 degrees and 360 degrees that is coterminal with the following angle 0=-1625 degrees is 175.

Learn more about coterminal angles here:

https://brainly.com/question/23093580

#SPJ1

The value of x is 39.

Alternate interior angles are the angles formed by the intersection of a transversal line with two parallel lines on the plane.

Alternate interior angles are formed on the inner side of the two parallel lines but are on the opposite side of the transversal line.

From the given figure, we have two parallel lines and two transversal lines and thus we can find alternate interior angles.

Alternate interior angles are always equal.

Angles formed by 2x° + 56° and the angle 134° are alternate interior angles and are thus equal.

2x° + 56° = 134°

2x = 134 - 56

2x = 78

x = 39

Hence the value of x is 39.

Learn more about Alternate Interior Angles here :

https://brainly.com/question/28380652

#SPJ1

Using numerals instead of words. Consider this expression |m² - 7| + n² is given by 28.

Given is the expression |m² - 7| + n²

where m = -2 and n = 5

so putting value in the expression

⇒|m² - 7| + n²

⇒|(-2)² - 7| + 5²

⇒|4-7| + 25

⇒| -3| +25

⇒3 + 25

⇒28

Expressions in mathematics are mathematical assertions that comprise at least two phrases that contain numbers, variables, or both, and are connected by an operator in between. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between.

Learn more about Numeral expression:

https://brainly.com/question/14013284

#SPJ4

Possible values of ∠L, to the nearest degree  is ∠L = 158° or ∠L = 74°

We can use the Law of Cosines to solve for ∠L.

The Law of Cosines states that for a triangle with side lengths a, b, and c and opposite angles A, B, and C, c² = a² + b² - 2ab cos(C).

Therefore, we can substitute in the given information to solve for ∠L.

c² = l² = 84² = 7056

a² = k² = 40² = 1600

b² = m² = unknown

2ab cos(C) = 2(40)(m) cos(22°)

Solving for m, we get

m² = 7056 - 1600 + 80cos(22°) = 5496 + 80cos(22°)

Taking the square root of both sides, we get

m = √(5496 + 80cos(22°))

Now, we can use the Law of Cosines again to solve for ∠L.

m² = l² + k² - 2lk cos(L)

Substituting in the values and solving for cos(L), we get

cos(L) = (l² + k² - m²)/(2lk)

cos(L) = (84² + 40² - (√(5496 + 80cos(22°)))²)/(2(84)(40))

cos(L) = 0.7860

Finally, we can use the inverse cosine to find the angle ∠L, to the nearest degree.

cos⁻¹(0.7860) = 74° or 158°

Therefore, ∠L = 74° or 158°.

To learn more about Law of Cosines, visit

brainly.com/question/17289163

#SPJ1

The variance of head circumferences of adult males is 1.

Variance is a measure of how data points differ from the mean. According to Layman, a variance is a measure of how far a set of data are spread out from their mean value.

Variance means to find the expected difference of deviation from actual value. Therefore, variance depends on the standard deviation of the given data set.

The more the value of variance, the data is more scattered from its mean and if the value of variance is low or minimum, then it is less scattered from mean. Therefore, it is called a measure of spread of data from mean.

Let x be the head circumferences of some males.

[tex]X \sim N\left(57,1^2\right)[/tex]

[tex]$\mu[/tex]=57 centimeters (mean)

[tex]$\sigma[/tex]=1 centimeters (standard deviation)

The variance of head circumferences of adult males [tex]$=\sigma^2=1^2=1$$$[/tex]

Variance =[tex]\sigma^2[/tex]=1

Therefore, the variance of head circumferences of adult males is 1.

For more such questions on variance

https://brainly.com/question/15178583

#SPJ4

The linear equations for the two companies are:

Company 1: y = 1.5*x + 5.5

Company 2: y = 0.5*x + 6

So the rate of company 1 is trice the rate of company 2.

When we have constant rates, then we have linear relations that can be written as:

y = m*x + b

Where m is the constant rate and b is the y-intercept.

And if we have two points (x₁, y₁) and (x₂, y₂), then the constant rate is:

m = (y₂ - y₁)/(x₂ - x₁)

So for the first table we can use the pairs:

(2.5, 9.25)

(6, 14.5)

So the rate is:

m = (14.5 - 9.25)/(6 - 2.5) = 1.5

Then the line is:

y = 1.5*x + b

To find the value of b, we can replace the values of one of the points, like (2.5, 9.25), we will get:

9.25 = 1.5*2.5 + b

9.25 - 1.5*2.5 = b

5.5 = b

And for company 2 we can try to identify two points on the graph, these can be (0, 6) and (1, 6.50), so the rate is:

m' = (6.50 - 6)/(1 - 0) = 0.50

So the rate of company 1 is 3 times the one of company 2,  And the y-intercept is y = 6.

So the equations are:

Company 1: y = 1.5*x + 5.5

Company 2: y = 0.5*x + 6

So the rate of company 1 is trice the rate of company 2.

Learn more about linear equations at:

https://brainly.com/question/2030026

#SPJ1

Answer:A

Step-by-step explanation:

The conversion factor along with the symmetry of the circle to complete the degree or radian measure of the missing trigonometric angles = 90° = 90° × (π/180°) = π/2.

A degree, which is referred to as the degree of arc or arc degree, is the unit of measuring a plane angle. It is denoted by the symbol (°). 360° is the angle measure for a complete rotation. A complete rotation is denoted by the angle measuring 360° and the instrument used to measure an angle in degrees is known as the protractor.

Radian is another unit of measuring an angle in geometry. One radian is the angle that is formed at the center of a circle by an arc whose length is equal to the radius 'r' of the circle. One complete counterclockwise rotation is equal to 2π in radians. The below-given image shows the measure of one radian as 57.296°. Also, a right angle is expressed as π/2 radians, and a straight angle is expressed as π radians.

We can compare the measure of angles for a complete rotation in radian and degrees as,

360 Degrees = 2π Radians

180 Degrees = π Radians

In order to convert degrees to radians manually, we use the formula: Radians = Degrees × (π/180°). We can follow the steps given below to calculate the measure of an angle given in degrees to radians.

We know, 1°= (π)/180 radians. So, to convert the angle given in degrees to radians we multiply it with π/180°.

Angle in Radians = Angle in Degrees × π/180°.

Simplify the values and express the answer in radians.

Example: Convert 90 degrees to radians.

Solution: 90° = 90° × (π/180°) = π/2.

Therefore,

The conversion factor along with the symmetry of the circle to complete the degree or radian measure of the missing trigonometric angles = 90° = 90° × (π/180°) = π/2.

To learn more about Trigonometric angles visit :

brainly.com/question/29331480

#SPJ4

Answer: £15

Step-by-step explanation:

210/14 = 15

to check :14x15=210

Answer: One necklace costs $15

Step-by-step explanation:

We know Regan sold 14 necklaces but we do not know how many, we can use "x" to represent the amount of necklaces sold.

We will use the equation 14(x)=210 to represent our word problem

Use PEMDAS and divide both sides by 14, this will give you x=15

$15 per necklace is the answer

If Dr.Martinez conducted a survey to determine the frequency of sexual activity among the American middle class and collected data from several individuals working at various multinational companies then the research sample is most likely a Convenience Sample .

A Convenience Sample is defined as a type of non-probability sampling method where the researcher selects the sample based on ease of access or availability.

In this survey , Dr. Martinez collected data from individuals who were readily available to him, such as people he knew working at various multinational companies, rather than using a method that would allow him to randomly select a representative sample of the middle class.

The results of this study cannot be generalized to the entire middle class population, as the sample may not be representative of the population.

Therefore , the the research sample is a Convenience Sample .

Learn more about Convenience Sample here

https://brainly.com/question/1413932

#SPJ4

Answer: i think its A

Answer:

there was 6 associates assigned to the case and 2 partners

Step-by-step explanation:

what i did was did 1400 times 2 and 500 times 6. then i did 6 divided by 3 which gave me 2. So there are 3 times more associates.

Hope this helped

The sum of the infinite series ∑n=1[infinity] 5x²(xy)ⁿ⁻¹ is 5/1-xy

The sum of an infinite series is the value that the series approaches as the number of terms in the series increases indefinitely.

In this particular problem, we are asked to find the sum of the infinite series

=>∑n=1[infinity] 5x²(xy)ⁿ⁻¹

A geometric series is a series where each term is a constant multiple of the previous term. In this case, the common ratio is xy.

The sum of an infinite geometric series can be calculated using the formula:

=> S = a / (1 - r)

where a is the first term in the series and r is the common ratio.

In this problem, the first term, a, is 5x² and the common ratio, r, is xy.

We know that |xy| < 1, which means that the absolute value of xy is less than 1.

This is important because it guarantees that the series will converge (approach a finite value) as the number of terms increases.

Using the formula for the sum of an infinite geometric series, we get:

S = 5x² / (1 - xy) = (A) 5/1-xy.

Therefore, the correct option is (a).

To know more about infinite series here.

https://brainly.com/question/29062598

#SPJ4

Answer:

What additional information do you need to prove ∆ ABC ≅ ∆ def by the SSS postulate description? So, △ABC ≅ △DEF. If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. If — AB ≅ — DE, — BC ≅ — EF, and — AC ≅ — DF, then △ABC ≅ △DEF.

The probability that we did not see all three colors is [tex]$\frac{13}{16}[/tex]

Consider the event,

A: Did not see all 3 colors

Complement of the event A is A’ where

A' : All colors were seen

Since 3 balls are drawn and all colors should be seen, it implies that there is 1 ball of each color

It is required to find P(A) = P(did not see all colors)

By the probability rule for complement:

P(A)  =1-P(A')

P(A') & =P(all colors were seen )

=P(1 White AND 1 Green AND 1 Red )

Total number of balls = 4

Number of combinations of 3 balls possible = 64

Since drawing a ball is with replacement, we have the following number of combinations with each color represented where R1 and R2 are the two red balls.

The table attached at end of the solution

Total number of combinations with each color represented = 12

Thus the probability of A’ is:

[tex]$P\left(A^{\prime}\right) & =\frac{12}{64} \\[/tex]

[tex]$P(A) & =1-\frac{12}{64} \\[/tex]

[tex]$=\frac{52}{64} \\[/tex]

[tex]$=\frac{13}{16}[/tex]

Hence, the required probability P(did not see all 3 colors) is [tex]$\frac{13}{16}$[/tex]

For more questions on probability

https://brainly.com/question/13042371

#SPJ4

Answer:

C

Step-by-step explanation:

X has to be bigger than Y. For the first one Y is bigger. The next one Y is also bigger so find one where X is bigger. The answer is C.

Answer:Answer is Letter C., check picture for steps

Step-by-step explanation:

If you need help please let me know at my discord

Acathia#0103