A textbook has 428 pages numbered in order starting with 1. You flip to a random page in the book in a way that it is equally likely to stop at any of the pages. What is the probability that you turn to page 45? You can write your answer as a fraction, decimal, or percent What is the probability that you turn to an even numbered page? You can write your answer as a fraction, decimal, or percent

A) Current (I)= 4A and power dissipated is 24W

B) The energy delivers to the water in 350 sec is 2009.57 cal.

We have, Resistance of the resistor, R = 1.5 ohm

The voltage across the resistor, V = 6.00 V

Let the current in the resistor be 'I'

By using Ohms' Law

I = V/R ⇒ 6.00 V / 1.5 ohm ⇒ 4 A

Therefore, the current in the resistor is 4 A.

The power dissipated by the resistor,

P = I²R ⇒ (4 A)² × 1.5 ohm ⇒ 24 W

Therefore, the power dissipated by the resistor is 24 W.

B) The energy delivered to the water by the resistor can be calculated using the formula:

E = P × t,

Where P = Power of the resistor = 24 W

t = Time = 350 seconds

Therefore, the energy delivered to the water by the resistor is:

E = Pt ⇒ 24 W × 350 s ⇒ 8400 J

Now, convert it to calories:

1 calorie = 4.18 J

Therefore, Energy in calories = Energy in joules / 4.18

⇒ 8400 J / 4.18

⇒ 2009.57 cal

Hence, the energy delivered to the water in 350 seconds is 8400 J or 2009.57 cal.

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Answer:

Size 3 ‍♀️

Step-by-step explanation:

In the US, the average shoe size for 10-Year-Old is USA Size 3.

-Jul 12, 2020

Answer:

27.18

Step-by-step explanation:

Firstly, you must label the triangle.

r- opposite

13.85- adjacent

We know that tan θ = opposite/ adjacent so we substitute our numbers into the equation.

tan (63) = r/13.85

Then, times 13.85 on both sides so we only have our unknown on one side.

(x13.85)  tan(63)= r/13.85   (x13.85)

r= tan (63) x 13.85

r=27.18

:)

The equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 7xy. by starting with y equation will be y = 7xy + 1.

An explanation of this equation will be this is the equation of a curve that passes through the point (0,1) and has a slope of 7xy at (x,y).

        To find this equation, we use the point-slope formula, which states that for any point (x1, y1) and a slope m, the equation of the line through the point with that slope is given by y - y1 = m(x - x1).

Substituting in the given values, we get y - 1 = 7xy(x - 0).

      Simplifying the equation, we have y = 7xy + 1.

Equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is y = 7xy + 1.

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Answer:

if it's for 1-6 just put a 1 at the bottom and multiply 8×5 and 1×12 for the first question and if u need to divide do that if your looking for answers I can help you but there's that for now :)

Step-by-step explanation:

The volume of cylindrical tin is 1584 [tex]cm^3[/tex]. The depth of the oil in the tin is 9cm.

[tex]V_1 =[/tex] VOLUME OF CYLINDRICAL TIN

   [tex]= \pi r^2 h[/tex]

  [tex]=\frac{22}{7}[/tex] x 6 x 6 x 14

  = 44 x 36

  = 1584 [tex]cm^3[/tex]

[tex]V_2 =[/tex] VOLUME OF RECTANGULAR TIN

    = lbh = 1584

    = (16)(11)(h) = 1584

    = 176h =1584

    = h = 1584 / 176

    = h = 9 cm

A cylinder is a three-dimensional shape that consists of a circular base and a curved surface that extends upward to meet at a point known as the apex. The volume of a cylinder is the amount of space occupied by the shape and is given by the formula V = πr²h, Once we have calculated the area of the circular base, we can multiply it by the height of the cylinder to get the volume.

To calculate the volume of a cylinder, we need to know its dimensions, which are the radius and height. The radius is the distance from the center of the circular base to the edge, while the height is the distance between the two circular bases.

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Answer:

Cost price of 5 orange=(60/50)*5=6k

Now to get 50% profit

Selling price of group of 5 orange

=6*1.5=9k.

The value of expression is 15.

A quadratic equation is a mathematical expression of the second degree, in which the highest power of the variable is 2. An expression is a mathematical phrase that combines numbers, variables, and mathematical operations to represent a value or a set of values.

It takes the form of ax² + bx + c = 0, where a, b, and c are coefficients, and x is the variable.

Given equation is;

⇒ 2x² - 3x + 1

If  x = -2,​ then the solution of equation will be,

⇒ 2×(-2)² - 3×(-2) + 1

⇒ (2×4) + 6 + 1

⇒ 8 + 6 + 1

⇒ 15

Therefore, the value of expression 2x² - 3x + 1  if x = -2 is 15.

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The true statements regarding the plot of normal distributions A and B are B has the larger mean, and B has the larger standard deviation; options 2 and 3.

A plot of a normal distribution is a bell-shaped curve that represents the probability distribution of a continuous random variable that follows a normal distribution.

The plot shows the frequency of occurrence of values of the variable, with the most common values near the mean and the less common values near the tails of the distribution.

The normal distribution is characterized by two parameters: the mean (μ) and the standard deviation (σ). The mean determines the location of the center of the distribution, while the standard deviation determines the spread or width of the distribution.

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The conclusion we can draw from the circle graph is (2) Jazz is the preferred music for 56 students.

From the circle graph, we can draw the following conclusions:

Pop is the preferred music for 35% of the sample, which is equivalent to 0.35 x 400 = 140 students.

Therefore, conclusion (1) is incorrect.

Jazz is the preferred music for 14% of the sample, which is equivalent to 0.14 x 400 = 56 students.

Therefore, conclusion (2) is correct.

The combined percentage of Hip Hop, Rock, and Jazz is 13% + 25% + 14% = 52%, which is more than half of the sample.

Therefore, conclusion (3) is incorrect.

Hip Hop and Pop are the preferred music for 25% + 35% = 60% of the sample, which is equivalent to 0.6 x 400 = 240 students.

Therefore, conclusion (4) is incorrect.

Therefore, the only correct conclusion that can be drawn from the circle graph is that Jazz is the preferred music for 56 students.

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the only option that satisfies both conditions is option B:[tex]y = 12 \sqrt{(x)} - 1[/tex]. Its range is all real numbers and its graph is decreasing from left to right.

What is quadratic equation?

A quadratic equation is a type of polynomial equation of degree two, meaning it contains one or more terms that involve x raised to the power of two (i.e., x^2).

To determine which of these functions has a range of all real numbers and a graph that is decreasing from left to right, we can examine the behavior of the functions as x approaches positive or negative infinity.

For option A, we see that the term (x+7) inside the square root will approach infinity as x approaches infinity, and since the term is subtracted from 3 and multiplied by -6, the y-values will approach negative infinity.

For option B, as x approaches infinity, the square root term will also approach infinity, and since it is being multiplied by 12 and subtracted by 1, the y-values will approach positive infinity.

For option C, as x approaches negative infinity, the term (x+1) inside the cube root will approach negative infinity, and since it is being multiplied by 3 and subtracted by 4, the y-values will approach negative infinity.

For option D, as x approaches negative infinity, the cube root term will approach negative infinity, and since it is being multiplied by -5 and added to 15, the y-values will approach positive infinity.

Therefore, the only option that satisfies both conditions is option B: y = [tex]12 \sqrt{(x)} - 1.[/tex] Its range is all real numbers and its graph is decreasing from left to right.

For the first question, we know that the given square root function has an endpoint at (-4, 19). Let's substitute these values into the function to solve for the unknown parameter 'a':

[tex]y = a\sqrt{(x-h)}+k[/tex]

[tex]19 = a \sqrt{(-4-h)}+k[/tex]

We also know that the square root function has a domain of all values of 'x' such that the expression inside the square root is non-negative. Therefore:

(x-h) >= 0

x >= h

Combining the two equations, we get:

[tex]19 = a\sqrt{(-4-h)}+k[/tex]

h <= x

Since we have only one equation with two unknowns ('a' and 'k'), we cannot solve for the exact values of 'h' and 'a'. However, we can eliminate some of the answer choices based on the domain condition:

For the second question, we need to find a function that has a range of all real numbers and a graph that is decreasing from left to right. Let's analyze each option:

Option A: y=-6√x+7+3 has a maximum value of 3 and a decreasing graph from left to right, but its range is limited to y <= 3, so it does not satisfy the range condition.

Option B: y = 12-1 has a constant value of 11, so its range is limited to y = 11, which does not satisfy the range condition.

Option C: y=3x+1-4 has a graph that is increasing from left to right, so it does not satisfy the decreasing graph condition.

Option D: y=-5 +15 has a constant value of 10, so its range is all real numbers, and its graph is decreasing from left to right (a horizontal line).

Therefore, the answer is Option D: y=-5 +15.

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According to Moore's Law, the number of transistors that can be placed inexpensively on a silicon chip doubles every two years, a typical CPU contained about 1,000,000 transistors in 1990.

Let’s first calculate the number of doublings from 1990 to 2000. Number of years from 1990 to 2000 = 2000 - 1990 = 10 yearsDoublings from 1990 to 2000 = [tex]$\dfrac{10 \text{ years}}{2 \text{ years per doubling}} = 5$[/tex] doublingsNow, we can calculate the number of transistors in a typical CPU in the year 2000:

[tex]$$\begin{aligned} \text{Number of transistors in 2000} &= \text{Number of transistors in 1990} \times 2^{\text{number of doublings}} \\ &= 1,\!000,\!000 \times 2^5 \\ &= 32,\!000,\!000 \end{aligned}$$[/tex]

Therefore, a typical CPU contained about 32,000,000 transistors in the year 2000.

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Answer:

To find the function of n(p(x)), we substitute p(x) for x in the function n(x):

n(p(x)) = p(x) + 4

n(p(x)) = x^2 + 6x + 4

The domain of p(x) is all real numbers. Therefore, we need to find the domain of n(p(x))

To find the domain of n(p(x)), we need to consider the domain of p(x) that makes n(p(x)) a real number. Since the coefficient of the x^2 term is positive, the graph of the function p(x) is a parabola that opens upwards, which means that it has a minimum value. The minimum value of p(x) occurs at x = -3, where p(-3) = 9 - 18 = -9

Therefore, the range of p(x) is [ -9, ∞ ). To ensure that n(p(x)) is a real number, we need to have p(x) ≥ -4. Therefore, the domain of n(p(x)) is [ -3 - 2√5, -3 + 2√5 ] or ( -∞, -3 - 2√5 ] ∪ [ -3 + 2√5, ∞)

The profit-maximizing output of 1.91, the firm is incurring a loss of $29.42.

a) Find the profit-maximizing level of output (Q)To determine the profit-maximizing level of output, we must calculate the marginal cost and marginal revenue of the firm.MC= dTC/dQ= -6Q^2-100+68Q=2(17Q^2-34Q-50)So, the marginal cost of the firm is MC= 2(17Q^2-34Q-50)To find the marginal revenue (MR) we must differentiate the revenue function with respect to Q.MR= dTR/dQ= P + Q(dP/dQ)= 20-4QHence, the marginal revenue is MR= 20-4QAt the point of maximum profit, marginal cost (MC) equals marginal revenue (MR).Therefore, 2(17Q^2-34Q-50)=20-4Q34Q^2-68Q-100=0Solving the above equation gives Q=1.91Therefore, the profit-maximizing output is 1.91 units.b) What price should you charge for your product?The price the firm should charge for its product is given by the demand function, P=20-2Q.Substituting Q=1.91 into the demand function,P= 20-2(1.91) = $16.18c) Based on your answers in the previous two questions, how much profit is this firm making at the profit-maximizing level of output?The total profit of the firm is given by the difference between the revenue and the total cost.TR= P x Q = 16.18 x 1.91 = $30.92TC= 100-2(1.91)^3-100(1.91)+34(1.91)^2 = $60.34Profit = TR- TC= $30.92-$60.34= -$29.42At the profit-maximizing output of 1.91, the firm is incurring a loss of $29.42.

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The coordinates of the point P is (-1,2) .

What is translation?

In mathematics, a translation is a geometric transformation that moves every point of a figure or a space by the same amount in a given direction. The amount and direction of the movement can be described using a vector, which is a mathematical object that has both magnitude and direction.

Finding the coordinates of the point P :

The coordinates of point P can be found by subtracting the vector from point Q.

To find the coordinates of point P, we need to subtract the vector [tex]\begin{pmatrix}4\\-3\end{pmatrix}[/tex] from the coordinates of point Q, which are (3, -1).

Subtracting the x-coordinate of the vector from the x-coordinate of point Q gives us:

3 - 4 = -1

Similarly, subtracting the y-coordinate of the vector from the y-coordinate of point Q gives us:

-1 - (-3) = 2

Therefore, the coordinates of point P are (-1, 2).

So, the correct answer is (C) (-1, 2).

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As a result, f(x) changes at a rate of 1/2 on average over the range [0, 1/2].

A function is a mathematical formula that relates every element in one set, known as the domain, to a single element in another set, known as the range. The most prevalent way to represent a function is as f(x), where f(x) stands for the output or dependent variable and "x" stands for the input or independent variable. There is a value of f(x) in the range for each value of x in the domain. Consider the function f(x) = 2x + 1 as an illustration. This function's range and scope possibilities are both limited to the real numbers.

given

We must determine the slope of the secant line that goes through the interval's endpoints in order to determine the average rate of change of a function over the interval. Since the range in this instance is [0, 1/2], we must determine the slope of the secant line that connects (0, f(0)) and (1/2, f(1/2)).

Let's first assess the function at the interval's endpoints:

f(0) = 0² + 2(0) + 1 = 1

f(1/2) = (1/2)² + 2(1/2) + 1

= 5/4

Next, we can calculate the slope of the secant line using the slope formula:

slope is equal to (f(1/2)-f(0)) / (1/2 - 0)

= ((5/4)-1) / (1/2)

= (1/4) / (1/2)

= 1/2.

As a result, f(x) changes at a rate of 1/2 on average over the range [0, 1/2].

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By answering the presented question, we may conclude that Sanderson amount Equipment Company owes $42,000 Galaxy Furniture Supply owes $13,360. $55,360 in total liabilities

aggregate attempting to determine the time required, total number or amount. The quantity at sight or under consideration is extremely active. the overall effect, relevance, or import. Principle, interest, or a third accounting are all included. Word forms include amounts, amounting, and amounted. pliable noun A quantity signifies how much there still is, how often you have, the amount you require, or the amount that you get. He needs that quantity of cash to get by.

The following figures would appear on Dr. Ortiz's balance sheet:

Assets:

Cash: $31,000

$11,300 for dental supplies

$57,100 for dental equipment

$20,000 for office furnishings

The total value of the assets is $119,400.

Liabilities:

Sanderson Equipment Company owes $42,000

Galaxy Furniture Supply owes $13,360.

$55,360 in total liabilities

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1.4m/s is the rate that Roberto is walking. We know the formula for calculating the time i.e. t= d/r.

The term "distance" refers to how far we move. The rate is a measurement of our trip speed. Time is measured by how far we travel. The distance an object will travel over time and at a specific average rate is the subject of rate problems.

Given,

Distance = D

D= 1.4t

Rate= ?

Substituting the given values in the formula t= d/r

where,

t= time in seconds

d= distance

r= rate

We get,

t= 1.4t/r

t/1.4t= 1/r

t gets cancelled

so we have,

1/1.4= 1/r

r= 1.4m/s

Therefore, 1.4m/s is the rate at which Roberto is walking.

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The complete question is as follows:

Roberto is walking. The distance, D, in meters, he walks can be found using the equation D=1. 4t, where t is time in seconds.

What is the rate that Roberto's walking in meters per second?

Answer:

b×h ÷2 esa es la fórmula para el área

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

we see that the baseline is 4 units long.

and the height from the top vertex down to that baseline is 5 units.

so, the area is

4 × 5 / 2 = 20/2 = 10 units²

Answer:

10.24

Step-by-step explanation:

i used an online calculator

Answer:

Step-by-step explanation:

To solve this problem, we need to use the formula for compound interest:

A = P*e^(rt)

where A is the final amount, P is the principal (initial investment), e is the base of the natural logarithm (approximately 2.71828), r is the interest rate (expressed as a decimal), and t is the time (in years).

For Sophie's account, we have:

P = $92,000

r = 6 1/8% = 0.06125 (as a decimal)

t = 14 years

A = 92000*e^(0.06125*14)

A = $219,499.70 (rounded to the nearest cent)

For Damian's account, we have:

P = $92,000

r = 6 5/8% = 0.06625/12 = 0.005521 (as a monthly decimal rate)

t = 14*12 = 168 months

A = 92000*(1+0.005521)^168

A = $288,947.46 (rounded to the nearest cent)

Now we can subtract Sophie's final amount from Damian's final amount to find the difference:

Difference = $288,947.46 - $219,499.70

Difference = $69,447.76

Therefore, Damian would have about $69,448 more in his account than Sophie, to the nearest dollar.

Answer:

£11

Step-by-step explanation:

Let cost of jackets : x, DRESSES: y.

ATP,

2x+3y = 46 ...(1)

2x + 4y = 54 ...(2)

From 1, we get x = (46-3y)/2

By Substitution in (2), we get:

2(46-3y)/2 +4y = 54

=> 46-3y+4y= 54

=> x = 8

Thus, 1 dress cost: 46-3*8/2 = 46-24/2 =22/2 = £11

Answer:

Y intercept is (0,2) Answer D.

Step-by-step explanation:

I included a graph for equation y=2/3 x + 2.

The order of events from least likely to most likely are as follows:

The reason for this order is because of the chances of each event occurring. Event D has the least chance of occurring because no numbers in the set have a value less than or equal to 0. Event A is the next least likely because only one number in the set is greater than 0, which is the number 1. Event C is the next least likely because only two numbers in the set are at least 2 (2 and 3). Event B is the next least likely, as there are only five even numbers in the set (2, 4, 6, 8, and 10). Events E, F, G, and H are the most likely to occur, because of the number of numbers that are divisible by 3, and 5, and are prime numbers.

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Answer:

1. first, add the amount of people who cannot swim. they need swim lessons.

2.  add up the people in 5th grade who can swim and the people who cannot. same with the 4th graders.

4.  the students that cannot swim, add up the 5th and 6ths graders that cannot swim.

5. add up all of the SOHO swimmers.

6. subtracts SOHO swimmers from swim academy.

set up an equation like this for #7

total number of students that can swim/ total amount of 5th graders = x/100

use the fraction on the left and multiply it by 100.

same with number 8

Step-by-step explanation:

Answer:

  (B)  60 degrees

Step-by-step explanation:

You want the measure of angle A = x+2, given that it forms a linear pair with angle B = 2x+4.

The sum of angles in a linear pair is 180°

  A +B = 180

  (x +2) +(2x +4) = 180 . . . . use the given expressions

  3x +6 = 180 . . . . . . . . . simplify

  x +2 = 60 . . . . . . . . . divide by 3. Angle A = x+2 = 60

The measure of angle A is 60 degrees.

According to a census, 3.3% of all births in a country are twins. In a month, there are 2,500 births. The census reports that 3.3% of all births result in twins, and the probability of having more than 90 twins in a month is "0.4351."

We will solve this problem using the binomial distribution formula, which is as follows:P (X > 90) = 1 - P (X ≤ 90)where P represents the probability, X represents the number of twins born in a month, and X is a binomial random variable with a sample size of n = 2,500 and a probability of success (having twins) of p = 0.033. Using the TI-83 calculator, TI-83 Plus, or TI-84 calculator, the following steps can be followed:

Press the "2nd" button followed by the "VARS" button (DISTR) to access the distribution menu. Scroll down and select "binomcdf (" from the list of options (use the arrow keys to navigate). The binomcdf ( menu will appear on the screen. The first number in the parentheses is the number of trials, n, and the second number is the probability of success, p. We want to find the probability of having more than 90 twins, so we need to use the "compliment" option. Therefore, we will subtract the probability of having 90 twins or less from 1 (using the "1 -" key). Type in "binomcdf (2500,0.033,90)" and press the "ENTER" button on your calculator.

This will give you the probability of having 90 twins or fewer in a month. Subtract this value from 1 to obtain the probability of having more than 90 twins in a month, which is the answer to our question. P(X>90) = 1 - binomcdf (2500,0.033,90)P(X>90) = 1 - 0.5649P(X>90) = 0.4351Therefore, the probability of having more than 90 twins in a month is 0.4351.

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The length of WX is greater than the length of YZ, and that the sides are neither parallel nor perpendicular.

Quadrilateral WXZY has four vertices: W(-1,4), X(4,0), Y(-5,1), and Z(0,-3). We are asked what is true about the sides WX and YZ.

To determine the length of WX, we can use the distance formula: d = √((x2-x1)² + (y2-y1)²). So, d(W,X) = √((4-(-1))² + (0-4)²) = √(5² + 4²) = √41. Similarly, d(X,Z) = √((0-4)² + (-3-0)²) = √16 + 9 = √25 = 5.

To determine the length of YZ, we can use the same formula: d(Y,Z) = √((-3-(-5))²+ (0-1)²) = √4 + 1 = √5.

Now, we need to compare the lengths of WX and YZ to determine what is true about them. √41 is greater than √5, so we know that WX is longer than YZ.

However, this does not tell us whether WX and YZ are parallel, perpendicular, or neither. To determine this, we need to examine the slopes of the sides.

The slope of WX is (0-4)/(4-(-1)) = -4/5. The slope of YZ is (0-(-3))/(-5-0) = 3/5. Since the slopes are not equal, we know that the sides are not parallel.

To determine if the sides are perpendicular, we can multiply their slopes. If the product is -1, then the sides are perpendicular. So, (-4/5) * (3/5) = -12/25, which is not equal to -1. Therefore, we can conclude that the sides WX and YZ are neither parallel nor perpendicular.

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Answer:

The skydiver has an initial height of 3600.

Step-by-step explanation:

3600 is the y-intercept in the form y=mx+b

In the point (0,3600) .Time is the x-axis and Height is the y-axis.

Replacing,

3600= m(0)+b

b=3600

Taking another point: (2, 3536)

We apply the formula to obtain the slope.

m= (y2-y1) / (x2-x1)

m= (3536 - 3600) / (2-0)

m= -64 / 2

m= -32

Joining all the terms:

y=-32x+3600