Assume a TCP sender is continuously sending 1,126-byte segments. If a TCP receiver advertises a window size of 6,353 bytes, and with a link transmission rate 10 Mbps an end-to-end propagation delay of 14.4 ms, what is the utilization? Assume no errors, no processing or queueing delay, and ACKs transmit instantly. Also assume the sender will not transmit a non-full segment. Give answer in percentages, rounded to one decimal place, without units (e.g. for an answer of 10.43% you would enter "10.4" without the quotes).

Answer:1/2 head and 1/2 tails

Step-by-step explanation: no.of experiments for heads = 5

total no of experiments=10

probability=5/10=1/2

no.of experiments for  = 5

total no of experiments=10

probability=5/10=1/2

From the given trapezoid the value of the x is 1.

What is the trapezoid?

The sum of all the angles in a trapezoid is equal to 360°. The sum of the angles on the same side is equal to 180°.

We have,

Since a Trapizode has 360 Degrees total and since the sides are equal we can say that

180 = 66 + ∠R

∠R = 180 - 66

∠R = 114

so,

180 = 66 + (-2 + 116x)

180 = 66 - 2 + 116x

180 = 64 + 116x

180 - 64 = 116x

116 = 116x

x = 1

Therefore, from the given trapezoid the value of the x is 1.

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Answer:

4 pounds

Step-by-step explanation:

2.36/4 = 0.59 cents a banana

1.83/3 = 0.61 cents a banana

The approximate length of the guy wire supporting the radio tower, as determined using trigonometry with the given information of a 45 degree angle and a height of 145 feet up the tower, is 145 feet.

We can use trigonometry to solve this problem. Let's call the length of the guy wire "x". The opposite side of the right triangle formed by the guy wire and the ground is 145 feet (the height of the tower where the guy wire is attached), and the angle opposite the guy wire is 45 degrees.

Using the trigonometric function tangent, we can set up the following equation:

[tex]tan(45)[/tex] = opposite / adjacent

where "opposite" is 145 feet and "adjacent" is the length of the guy wire, x. Simplifying this equation, we get:

1 = 145 / x

Multiplying both sides by x, we get:

x = 145

Therefore, the length of the guy wire is approximately 145 feet to the nearest tenth.

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Answer:

= 60°

Step-by-step explanation:

Exterior angle =

[tex] = \frac{360}{n} [/tex]

[tex] = \frac{360}{6} \\ = {60}^{o} [/tex]

= 60°

Answer:

D.666 cubic centimeters

Step-by-step explanation:

Volume of cylinder is 3 time the volume of cone of the same radius.

Volume of cylinder= πr²h

Volume of cone = 1/3 x πr²h

Answer: a. From the perspective of the 30-year-old male, the monetary value corresponding to surviving the year is -$154 (the cost of the insurance policy). The monetary value corresponding to not surviving the year is $99,805 (the death benefit payout).

b. If the 30-year-old male purchases the policy, his expected value can be calculated using the formula:

Expected Value = (Probability of Event A) * (Value of Event A) + (Probability of Event B) * (Value of Event B)

In this case, the probability of surviving the year and not surviving the year can be assumed to be the same, as we don't have any specific information on the individual's health or life expectancy. Therefore, the probabilities can be assumed to be 0.5 each.

Plugging in the values, we get:

Expected Value = (0.5) * (-$154) + (0.5) * ($99,805) = ($50,326)

So, the expected value for the 30-year-old male purchasing the policy is $50,326.

Step-by-step explanation:

find derivative of e^(e^x)

use chain rule to find d/dx of e^x is e^x.

so chain rule finds the value e^(e^x) d/dx = e^(e^x) x e^x

simplify to e^[(e^x)+x]

The probability of drawing an orange marble and then a green marble without replacement  is (a) 1/15 .

The probability of drawing an orange marble on the first draw = 2/10 because there are 2 orange marbles out of total of 10 marbles .

After 1 orange marble is drawn, there are 9 marbles left in the box, of which 3 are green.

So, the probability of drawing a green marble on the second draw, given that an orange marble was drawn on the first draw, is 3/9.

⇒ P(orange, green) = P(orange) × P(green | orange was drawn)

⇒ P(orange, green) = (2/10) × (3/9) = 6/90 = 1/15  ;

Therefore , the value of P(Orange , Green) is = 1/15 .

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The given question is incomplete , the complete question is

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(orange ,green)

(a) 1/15

(b) 2/15

(c) 3/31

(d) 1/5

The length of the segment QV is  9.2 units

What is a square?

Regular quadrilaterals, such as a square, have four equal sides and four equal angles (right angles, 90-degree angles, or angles of /2 radian). It is also known as a rectangle with two neighbouring sides of identical length. It is the only regular polygon whose internal angle, central angle, external angle, and diagonal length are all equal (90°).

diagonal length, d=a√2 , where,  d--> diagonal length ,  a= side length

So, d= 13* 1.4142 = 18.3847 units

Diagonals bisect each other

QV = d/2 = 18.3847/2  = 9.1923

Rounding to 1 decimal place

QV = 9.2 units

The length of the segment QV is  9.2 units

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The population in the year 2040 is 31800.

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

Example:

2x + 3 = 4 is an equation.

We have,

The exponential equation is y = m[tex]a^t[/tex].

Where t is a variable

Now,

In 2007 (t = 0). the population was 12,000.

y = 12000

This means,
12000 = m[tex]a^0[/tex]

12000 = m

And,

In 2019 (t = 12). the population was 23,000.

y = 23000

23000 = m[tex]a^{23}[/tex]

23000 = 12000 [tex]a^{23}[/tex]

23000/12000 = [tex]a^{23}[/tex]

1.92 = [tex]a^{23}[/tex]

[tex]1.036^{23}[/tex] = [tex]a^{23}[/tex]

a = 1.03

Now,

y = 12000 [tex]1.03^t[/tex]

The population in the year 2040.

i.e

t = 33

y = 12000 x [tex]1.03^{33}[/tex]

y = 12000 x 2.65

y = 31800

Thus,

31800 is the population in the year 2040.

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The volume of the rectangular sandwich box of Austin is given by the equation V = 468 cm³

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the rectangular box be represented as V

Now , the equation will be

The length of the sandwich box = 13 cm

The width of the sandwich box = 12 cm

The height of the sandwich box = 3 cm

And , volume of the rectangular box V = Length x Width x Height

Substituting the values in the equation , we get

Volume of the rectangular box V = 13 x 12 x 3

On simplifying the equation , we get

Volume of the rectangular box V = 468 cm³

Hence , the volume of rectangular box is 468 cm³

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The probability that the sample proportion is less than 0.33 is approximately 0.7422.

The sample proportion of first-time customers can be modeled by a normal distribution with mean p, the true proportion of first-time customers, and standard deviation [tex]\sqrt{\frac{p(1-p)}{n}}[/tex], where n is the sample size.

In this case, p = 0.32, n = 80, and we want to find [tex]P(\hat{p} < 0.33)[/tex].

The standardized version of [tex]\hat{p}[/tex] is given by:

[tex]z = \frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

Substituting the values, we get:

[tex]z = \frac{0.33-0.32}{\sqrt{\frac{0.32(1-0.32)}{80}}} \approx 0.6579[/tex]

Using a standard normal distribution table (or a calculator or statistical software), we find that the probability of z being less than 0.6579 is approximately 0.7422.

Therefore, the probability that the sample proportion is less than 0.33 is approximately 0.7422.

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The new list of rents, ordered from least to greatest, would be 865, 970, 985, 1005, 1015, 1035, 1055, 1080, 1045, 1095. The median rent would also be changed from $1095 to $1045.

Answer:

Step-by-step explanation:

To solve this system of two equations with two variables (x and y), we'll use the substitution method. Here's how:

Solve one of the equations for either x or y, in terms of the other variable. Let's solve the first equation, 2x - 5y = 4, for x:

x = (4 + 5y)/2

Substitute the expression for x from step 1 into the second equation, 4x = 8 + 10y:

4(4 + 5y)/2 = 8 + 10y

Simplify the equation from step 2:

8 + 10y = 8 + 10y

Solve for y by subtracting 8 from both sides:

10y = 10y

Divide both sides by 10 to find the value of y:

y = y

Now that we have the value of y, we can substitute it back into the expression for x from step 1:

x = (4 + 5 *y)/2

So the solution to the system of equations is (x, y) = ((4 + 5 *y)/2, y=y).

The theoretical probability that a sum greater than 10 is obtained is given as follows:

p = 1/12.

Out of 108 trials, the expected number of trials with a sum greater than 10 is given as follows:

9.

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.

The 36 total outcomes for the pair of dices is given as follows:

Out of these outcomes, three of them, (5,6), (6,5) and (6,6) have a sum greater than 10, hence the probability is given as follows:

p = 3/36

p = 1/12.

Then the expected number is given as follows:

E(X) = 108 x 1/12

E(X) = 9.

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Answer:

9

Step-by-step explanation:

experiment, Kim rolled a fair die twice. The theoretical probability of both rolls equaling a sum greater than 10 is Predict how many times.

Therefore the experement is 9

Step-by-step explanation:

You would find a the same way as finding B, just backwards

[tex]( {x}^{2} - 1)( {x}^{2} + 5)[/tex]

Distributing we get

[tex] {x}^{4} + 5 {x}^{2} - {x}^{2} - 5[/tex]

Simplifying it...

[tex] {x}^{4} + 4 {x}^{2} - 5[/tex]

The specified radical expressions in the questions are evaluated and presented in the simplest form as follows;

(2) [tex]\sqrt[3]{x^2\cdot y^2} \cdot \sqrt[4]{x^5\cdot y^3} = \sqrt[12]{x^{23}\cdot y^{17}}[/tex]

(3) f(g(x)) = √(6·x + 1) - 5

(4) x = (15 ± √(33))/2

(5) x = 126

A radical is a mathematical expression which contains the radical expression, '√', which represent a fractional indices of the form 1/n.

(2) The specified radical expression is presented as follows;

∛(x²·y²) × [tex]\sqrt[4]{x^5 \cdot y^3}[/tex]

Expressing the above radical expression in index form, we get;

∛(x²·y²) × [tex]\sqrt[4]{x^5 \cdot y^3}[/tex] = [tex]x^{\frac{2}{3} }\times y^{\frac{2}{3} } \times x^{\frac{5}{4} } \times y^{\frac{3}{4}}[/tex]

Adding the index of like variable terms, we get;

[tex]x^{\frac{2}{3} }\times y^{\frac{2}{3} } \times x^{\frac{5}{4} } \times y^{\frac{3}{4}} = x^{\frac{2}{3} + \frac{5}{4} } \times y^{\frac{2}{3} + \frac{3}{4} }[/tex]

(2/3) + (5/4) = (2×4 + 5×3)/12 = 23/12 = 1 11/12

Therefore; [tex]x^{\frac{2}{3} + \frac{5}{4} } = x^{\frac{23}{12} }[/tex]

2/3 + 3/4 = (2 × 4 + 3 × 3)/(12) = 17/12 = 1 5/12

Therefore; [tex]y^{\frac{2}{3} + \frac{3}{4} } = y^{\frac{17}{12} }[/tex]

Which indicates that we get; [tex]x^{\frac{2}{3} + \frac{5}{4} } \times y^{\frac{2}{3} + \frac{3}{4} } = x^{\frac{23}{12} } \times y^{\frac{17}{12} }[/tex]

Therefore; ∛(x²·y²) × [tex]\sqrt[4]{x^5 \cdot y^3}[/tex] = [tex]x^{\frac{23}{12} } \times y^{\frac{17}{12} }[/tex]

(3) The functions, f(x) = √(3·x + 4) - 5, g(x) = (2·x - 1)

The composite function, f(g(x)) can be found as follows;

f(g(x)) = √(3·g(x) + 4) - 5 = √(3·(2·x - 1) + 4) - 5

f(g(x)) = √(3·(2·x - 1) + 4) - 5 = √((6·x - 3) + 4) - 5 = √(6·x + 1) - 5

(4) (√(x - 1)) = x - 7

Squaring both sides, we get;

(√(x - 1))² = (x - 7)²

Therefore;

(√(x - 1))² = x - 1 = (x - 7)² = x² - 14·x + 49

x - 1 = x² - 14·x + 49

x² - 14·x + 49 - (x - 1) = 0

x² - 15·x + 48 = 0

The quadratic formula can be used to solve the above equation to get;

x = (-(-15) ± √((-15)² - 4×1×48))/(2 × 1) = (15 ± √(33))/2

(5) 2·∛(x - 1) + 6 = 16

2·∛(x - 1) + 6 = 16

Subtracting 6 from both sides, we get;

2·∛(x - 1) + 6 - 6 = 16 - 6 = 10

2·∛(x - 1) = 10

∛(x - 1) = 10/2 = 5

∛(x - 1) = 5

∛(x - 1)^3 = 5^3

∛(x - 1)^3 = x - 1

5^3 = 125

∛(x - 1)^3 = x - 1 = 125

x = 125 + 1 = 126

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Tom sold 27 raffle tickets and Steve sold 98 raffle tickets.

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Given:

Together, Steve and Tom sold 125 raffle tickets for their school.

Steve sold 17 more than three times as many raffle tickets as Tom.

Let s be the number of raffle tickets sold by Steve and t be the raffle tickets sold by Tom.

So,

3t + 17 + t = 125

4t = 108

t = 27

And s = 98

Therefore, Steve sold 98 and Tom sold 27 tickets.

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Answer:

Step-by-step explanation:

inequality form

d≤ 1

Interval Notation:

(−∞,1]

The proportional relationship used to find the distance that the train will travel after m minutes is given as follows:

d = 0.12m.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

Considering that when the input is of 5, the output is of 0.6, the constant of the relationship in this problem is given as follows:

k = 0.6/5

k = 0.12.

Hence the equation is given as follows:

d = 0.12m.

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The measures of the center or variability that are greater than 5 degrees are :

The mean of the data on temperature this week and the last is :

= ( 4 + 10 + 6 + 9 + 6 ) / 5

= 7 degrees Fahrenheit 4+ 10+ 6+9+ 6

The mean of the data on temperature last week and the last is :

= ( 13 + 9 + 5 + 8 + 5 ) / 5

= 8 degrees Fahrenheit

The range of this week's temperature is :

= 10 - 4

= 6 degrees Fahrenheit

All these measures of center are above 6 degrees.

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The full question is:

Temperatures for 5 Days This Week and Last Week

Low Temperatures This Week (Degrees Fahrenheit) 4 10 6 9 6 Low Temperatures Last Week (Degrees Fahrenheit) 13 9 5 8 5 Which measures of center or variability are greater than 5 degrees? Select three choices.

a) the mean of this week’s temperatures

b) the mean of last week’s temperatures

c) the range of this week’s temperatures

d)the mean absolute deviation of this week’s temperatures

e) the mean absolute deviation of last week’s temperatures

15) Evaluating the mathematical expression -10 -144/(-12) shows that 144 is being divided by 12 before subtracting 10, following the application of PEMDAS.

16) The value of the algebraic expression is 2.

The evaluation of an expression is finding its value by substituting variables and applying the PEMDAS rule.

PEMDAS means the order of algebraic operations that applies parentheses, exponents, multiplication, division, addition, and subtraction.

-10 -144/(-12)

-10 + (144/12)

-10 + 12

= 2

Thus, we have evaluated the expression to have a value of 2.

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The steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.

Solution to the quadratic equation

The solution to the quadratic equation is determined as follows;

2x² + 12x - 3 = 0

2x² + 12x = 3

divide through by 2

x² + 6x = ³/₂

take half of coefficient of x, square it and add it both sides of the equation

(x + 3)² = ³/₂ + 3²

x² + 6x + 9 = 9 + ³/₂

2(x² + 6x + 9) = 18 + 3

Thus, the steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.

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Answer:

Answer is in the attached photo

Step-by-step explanation:

The solution is in the attached photo, do take note for this question, Sine rule can be used to find both x and y as well instead of Pythagoras' Theorem.

x=18, y=9√3

There is a theorem with 30 degrees 30 degrees 90 degrees triangles, it is that the side opposite of 30 degrees angle is a, the hypotenuse is 2a, and the other leg opposite the 60 degree angle is a√3

So, since a=9, x=2a=18 and y=a√3=9√3

Step-by-step explanation:

tan0=opp/adj

where opposite =3,adjacent =x,=70

tan 70=3/x

2.7474=3/x

2.7474x=3

divide both sides by 2.7474

x=3/2.7474

x=1.0919

x=1.10 to 1 d.p

Answer:

16

Step-by-step explanation:

As the question states, we are counting downwards which means with every interval we are going back -1. Therefore, 17 - 1 = 16

Answer: 5.26

Step-by-step explanation:

Answer:

= 0.190

Solution:

Change the divisor 2.63 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

50 ÷ 263 = 0.190

and therefore:

0.5 ÷ 2.63 = 0.190

Both calculated to 3 decimal places.

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The length of the dotted line would be 7.922 ft.

A circle's diameter is measured from the center of the circle outward. It is equivalent to twice the radius, or the distance a circle's radius is measured from its center to any other point on the circle.

The mathematical formula for a circle's diameter is d = 2r if d is the circumference and r is the radius.

When we subtract the circle's thickness from its outer diameter to determine the provided circle's inner diameter, we obtain q = 17.708 - 4.893 - 4.893.

We can solve this for q = 7.922

The dotted line would be 7.922 feet long as a result.

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