Coma Rogo Comexters a Mississippi chain of computer hardware and software retail cutiets, suppies both educational and commercial customers with memory and soon devices. Ronwy poes the Polishing Ordering decision relating to purchases of disks D 35200 disks 9 524 1 Purchase price 0.87 Discount price 5082 Quantity needed to quality for the discount 5900 dias What is the ECOT 100-writo (round your toonse to the nearest whole number)

The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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Answer: 28/45

Step-by-step explanation:

tan is \(\frac{opposite}{adjacent}\).

In this case, tanA = \(\frac{28}{45}\)

Answer:

It is not

Step-by-step explanation:

If you pythagores- a^2+b^2=c^2

You will get 4^2+6^2=8^2

16+36=64

52=64

This is not true

Answer:

Step-by-step explanation:

Sum of interior angles of a triangle is 180degree.

2x + 105 + 31 = 180

2x = 44

x = 22

Answer:

The given Angles in triangle are 105° , 31° & 2x°

we have been asked to find the value of x .

We Know Sum of all three angles in a triangle is 180°

Now Let's put the given value we obtain

105° + 31° + 2x = 180°

136° + 2x = 180°

2x = 180° - 136°

2x = 44

x = 44/2

x = 22°

So, the value of x is 22°.

Answer:

TRUE

Step-by-step explanation:

The probability of committing a type 1 error is called alpha (or the level of statistical significance)

Alpha is the probability of committing a type i error. The statement is True.

Alpha is also known as the level of significance. In hypothesis testing, the level of significance is used to determine the acceptance or rejection of a null hypothesis. It's calculated by dividing the critical value (the value beyond which we can reject the null hypothesis) by the standard deviation of the population. The level of significance is typically set to 0.05 or 0.01. If the p-value (the probability of getting the observed results by chance) is less than the level of significance, we reject the null hypothesis and conclude that the alternative hypothesis is true.

Therefore, it's true that alpha is the probability of committing a type I error, which occurs when we reject a null hypothesis that is actually true. A type I error is also known as a false positive. In other words, we conclude that there is a significant effect or relationship when there isn't one. The level of significance is a measure of how willing we are to make this type of error. If we set a high level of significance, we are more likely to make a type I error.

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Answer:

(a)  34 m/s

(b)  k = 42.5

Step-by-step explanation:

\(\boxed{\sf Speed=\dfrac{Distance}{Time}}\)

Given:

Substitute the values into the formula to find the average speed :

\(\implies \sf Speed = \dfrac{1700}{50}=34\;m/s\)

The area under a speed-time graph represents the distance traveled.

Separate the area under the graph into a rectangle and a triangle, where:

\(\boxed{\textsf{Area of a rectangle $=$ width $\times$ length}}\)

Therefore, the distance traveled in the first 30 seconds of the journey is:

\(\implies \sf 30k\)

\(\boxed{\textsf{Area of a triangle $=\dfrac{1}{2} \times$ base $\times$ height}}\)

Therefore, the distance traveled in the last 20 seconds of the journey is:

\(\implies \sf \dfrac{1}{2}(20)k\)

Therefore:

\(\implies \sf 30k+\dfrac{1}{2}(20)k=1700\)

\(\implies \sf 30k+10k=1700\)

\(\implies \sf 40k=1700\)

\(\implies \sf \dfrac{40k}{40}=\dfrac{1700}{40}\)

\(\implies \sf k=42.5\)

Answer:

k is 42.5 m/s

Step-by-step explanation:

we need to calculate the distance that was covered when the speed was k m/s

from the graph k m/s was travelled for 30 seconds

the entire time for the journey was 50 seconds

the entire journey was 1700 m

Alternatively the area under the graph represents the total distance covered.

Area of a trapezium = 1/2(a+b)h

= 1/2( 30+50)k

= 40k

we equate it to the total distance covered

1700 = 40k.

k = 42.5

Thus k is 42.5 m/s

Answer:

D: Option 2: Rectangle with area 80 square meters

Step-by-step explanation:

Option which maximize the area of Libby's playgoround fencing is equals to rectangle with area \(80\) square meters.

" Area is defined as the total space occupied by two dimensional geometrical shape enclosed in it."

Formula used

Area of a triangle \(= \frac{1}{2} \times base \times height\)

Area of a rectangle = length × width

According to the question,

Given,

Libby is fencing a playground with two option:

Option \(1\) : Triangle with

Base length \(= 9\)meters

height \(= 12\)meters

Substitute the values in the formula we get,

Area of a triangle \(= \frac{1}{2} \times 9\times 12\)

                              \(= 54\) square meters                       _____\((1)\)

Option \(2\) : Rectangle with

length \(= 10\) meters

width \(= 8\) meters

Area of a rectangle \(= 10 \times 8\)

                                 \(= 80\) square meters                    _______\((2)\)

From \((1)\) and \((2)\) we get,

Option which maximize the area is rectangle that is Option\(2\).

Area   \(= 80\) square meters

Hence, Option(D) is the correct answer.

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The correct answer is 59%.

Division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to determine the quotient. Division can be used to solve problems involving fractions, decimals, and percentages. It is also used to simplify complex equations and to break down large numbers into smaller, more manageable parts. Division is one of the four basic operations of arithmetic, along with addition, subtraction, and multiplication.

Out of the 36 customers who purchased turkey sandwiches, 21 of them chose sourdough bread. 21 divided by 36 is 0.58333, which is equivalent to 59%.

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Answer:

The "!" represents a factorial

Step-by-step explanation:

In math, a factorial when there is an ! followed by a number.

For example, 5! = 5 factorial.

To solve factorials, multiply every integer below the number before the factorial, including the number.

5! = 5 x 4 x 3 x 2 x 1 = 120.

(a) f(x) = 10x - x^2 is concave

(b) f(x) = x' + 6x^2 + 12x is convex

(c) f(x) = 2x - 3x^2 is concave

(d) f(x) = x + x is neither convex nor concave

(e) f(x) = x + x^4 is convex

(a) The function f(x) = 10x - x^2 is concave. To show this, we take the second derivative of f(x) which is -2, which is negative for all x. Since the second derivative is negative for all x, the function is concave.

(b) The function f(x) = x' + 6x^2 + 12x is convex. To show this, we take the second derivative of f(x) which is 12x + 2, which is positive for all x. Since the second derivative is positive for all x, the function is convex.

(c) The function f(x) = 2x - 3x^2 is concave. To show this, we take the second derivative of f(x) which is -6, which is negative for all x. Since the second derivative is negative for all x, the function is concave.

(d) The function f(x) = x + x is neither convex nor concave. To show this, we take the second derivative of f(x) which is 0, which is neither positive nor negative. Since the second derivative is neither positive nor negative, the function is neither convex nor concave.

(e) The function f(x) = x + x^4 is convex. To show this, we take the second derivative of f(x) which is 12x^2, which is positive for all x except 0. Since the second derivative is positive for all x except 0, the function is convex.

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There are 43,680 possible ways for Sally, Sam, Sue, and Simon to place in the bottom 4 spots in a race with 17 people.

There are 17 people in the race, so there are 17 ways to choose who comes in first place. After that, there are 16 people remaining, so there are 16 ways to choose who comes in second place.

Similarly, there are 15 ways to choose who comes in third place, and 14 ways to choose who comes in fourth place.

Therefore, the total number of ways that Sally, Sam, Sue, and Simon can place in the bottom 4 spots is:

16 x 15 x 14 x 13 = 43,680

So there are 43,680 possible ways for Sally, Sam, Sue, and Simon to place in the bottom 4 spots.

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Answer:

95.40 total and 5.40 in intreset

Step-by-step explanation:

Answer:

A = $95.40

I = A - P = $5.40

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

A = 90(1 + (0.06 × 1)) = 95.4

A = $95.40

The total amount accrued, principal plus interest, from simple interest on a principal of $90.00 at a rate of 6% per year for 1 years is $95.40.

What is 0.09 divided by 3.0 HURRRRY!!!!

Answer: 3/100, 0.03, 3% and 3x10 -2

The fifth-degree Taylor polynomial for g(x) about x=0. is\(g(x) = 1 + x - x^{3}/3! + x^{5}/5! - x^{7}/7! + x^9/9!\)

We are given the function f(x) and the function g(x) defined by:

g(x) = 1 + ∫[0, x] f(t) dt

We need to find the first three nonzero terms and the general term of the Taylor series for cos(x) about x=0, and then use this series to write the first three nonzero terms and the general term of the Taylor series for g(x) about x=0. Finally, we will use the Taylor series for g(x) to determine whether f(x) has a relative minimum, maximum, or neither at x=0.

The Taylor series for cos(x) about x=0 is given by:

\(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

The first three nonzero terms are:

\(cos(x) = 1 - x^2/2! + x^4/4!\)

The general term of the series is:

\((-1)^n x^{(2n)} / (2n)!\)

Now, we can use this series to write the Taylor series for g(x) about x=0. We have:

g(x) = 1 + ∫[0, x] f(t) dt

Taking the derivative of g(x), we get:

g'(x) = f(x)

Taking the derivative of g'(x), we get:

g''(x) = f'(x)

And so on, we can take the nth derivative of g(x) to get:

\(g^{(n)(x)} = f^{(n)(x)\)

Using the Taylor series for cos(x), we can  write:

g(x) = 1 + ∫[0, x] f(t) dt

\(= 1 + x - x^3/3! + x^5/5! - x^7/7! + .\)..

= cos(x) + ∫[0, x] (f(t) - cos(t)) dt

The first three nonzero terms are:

\(g(x) = 1 + x - x^3/3!\)

The general term of the series is:

(-1)^n ∫[0, x] (f(t) - cos(t)) dt * x^(2n) / (2n)!

To determine whether f(x) has a relative minimum, maximum, or neither at x=0, we need to look at the sign of the second derivative of g(x) at x=0. We have:

g''(x) = f''(x)

Therefore, g''(0) = f''(0). Since we don't have any information about the sign of f''(0), we cannot determine whether f(x) has a relative minimum, maximum, or neither at x=0.

Finally, to write the fifth-degree Taylor polynomial for g(x) about x=0, we need to include the first five nonzero terms of the series:

\(g(x) =1 + x - x^3/3! + x^5/5! - x^7/7! + x^9/9!\)

This is the fifth-degree Taylor polynomial for g(x) about x=0.

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Answer:

the rate is +1

Step-by-step explanation:

the starting value is 3

for x=0=

y=3

for x=1=

y=5

for x= 2=

y= 7

for x=3=

y= 9

Answer:

0.1456858

Step-by-step explanation:

Hope it help

Answer:

−1/2

Explanation:

cos(8π/3)

=cos(8π/3 − 2π)

=cos(2π/3) = − cos (π/3) = −1/2

Answer:

I think the answer is 8 inches

The standard deviation is the mean of the sum of the squared deviations between each observation and the mean. The measure of dispersion that is the easiest to compute is the interquartile range.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation implies that the values are dispersed over a wider range, a low standard deviation shows that the values tend to be close to the mean of the collection.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

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The value of x as an int variable is 0

An int(integer) variable is a variable containing only whole numbers.

Given the expression;

x = - 3 + 4 % 6/ 5

Let's make into proper fraction, we have

x = - 3 + {}4/ 100 × 6/ 5

Multiply through

x = -3 + 6/ 5/ 4/ 100

x = -3 + {6/ 5 ÷ 0. 4}

x = -3 + {3}

expand the bracket

x = -3 + 3

Add like terms

x = 0

Thus, the value of x as an int variable is 0

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Complete question;

Assume that x is an int variable. what value is assigned to x after the following assignment statement is executed? x = -3 + 4 % 6/ 5;

Answer:

a) To find the points of intersection, P and Q, of the tangents and the circle, we can use the fact that a tangent line is perpendicular to the radius at the point of tangency. Therefore, the slope of the tangent line is the negative reciprocal of the slope of the radius.

We know that the equation of the circle is (x-3)² + (y + 3)² = 52. To find the slope of the radius, we can differentiate the equation of the circle with respect to x and y.

dx/dt = 2(x-3) and dy/dt = 2(y+3)

We know that the slope of the tangents is a. So, the slope of the radius is -1/a

Now we can use the point slope form of a line to find the equation of the tangent line.

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

We can substitute the point of tangency, which is on the circle, into the point slope form.

y + 3 = -1/a(x - 3)

We can now substitute the point (3, -3) and the slope -1/a into the point slope form to find the equation of the line

y + 3 = -1/a(x - 3)

y = -1/a

Step-by-step explanation:

Not sure if this helps, hope it does!

cot(x) = cos(x) / sin(x)

so

cos(x) / cot(x) = 1 / (1/sin(x)) = sin(x)

Then

sin²(x) + sin(x) cos(x) / cot(x) = sin²(x) + sin²(x) = 2 sin²(x)

a) The probability that in one week, Miss Ang bought at most (≤) 2 trays of eggs with each having at least one spoiled egg=0.016

b) The expected value of N=86.6

c) The probability that Day N is also Sunday=1/7.

Explanation:

a)

For 1 day, 1 tray must contain no spoiled eggs: 0.999^12,

1 tray must have at least 1 spoiled egg: 1 - 0.999^12,

and the probability that Miss Ang has 2 trays, each containing at least 1 spoiled egg in one day:

(1 - 0.999^12) * (1 - (0.999^12 + 11 * 0.001 * 0.999^11)) = 0.00245

For 7 days, the probability that Miss Ang has at most 2 trays, each containing at least 1 spoiled egg:

= 0.00245 * C(7,0) * 1^0 * (1 - 1)^7 + 0.00245 * C(7,1) * 1^1 * (1 - 1)^6 + 0.00245 * C(7,2) * 1^2 * (1 - 1)^5

= 0.01622 ≈ 0.016

b)

Let X be the number of trays that Miss Ang has to buy to get the first tray containing at least 1 spoiled egg. Then X follows a geometric distribution with parameter

p = 1 - 0.999^12 and

E(X) = 1/p = 1/0.011543 ≈ 86.6 (rounded to the nearest 0.1).

c)

Since Miss Ang buys one tray of eggs a day, the probability that Day N is Sunday is 1/7. Therefore, the probability that Day N is Sunday given that it is the first day that Miss Ang bought a tray of eggs containing at least one spoiled is also 1/7.

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a) The probability of that in one week, Miss Ang bought at most (≤) 2 trays of eggs with each having at least one spoiled egg:

              P(X ≤ 2) = 0.2966763801

b) The expected value of N = 83.8059327318 days

c) The probability that Day N is also Sunday= 0.1406909760

(a)

For each egg produced by HS Farm, there is a 0.001 chance that it is spoiled. Therefore, the probability that an egg is not spoiled is

1-0.001 = 0.999.

Since Miss Ang buys one dozen eggs every day, the probability that all 12 eggs in a tray are not spoiled is

(0.999)¹² = 0.98806738389.

Therefore, the probability that there is at least one spoiled egg in a tray is

1 - 0.98806738389 = 0.01193261611.

The probability that Miss Ang buys at most 2 trays of eggs with each having at least one spoiled egg in one week (7 days) can be found using the Poisson distribution with a mean of λ = 1.19574793916.

Therefore,

P(X ≤ 2) = 0.2966763801

(b)

Let N be the first day that Miss Ang bought a tray of eggs containing at least one spoiled.

Since Miss Ang buys one tray of eggs every day, the probability that N = n is the probability that the tray she buys on day n has at least one spoiled egg, and all the trays she buys on days 1, 2, ..., n - 1 have no spoiled eggs.

This probability is given by

\(P(N = n) = (0.98806738389)ⁿ⁻¹(0.01193261611)\)

The expected value of N can then be found by taking the sum of nP(N = n) over all possible values of n.

This gives

\(E(N) = Σn=1∞nP(N = n)\)

\(= Σn=1∞(0.98806738389)ⁿ⁻¹(0.01193261611)\)

n= 83.8059327318 days.

(c)

Suppose Day 1 is Sunday. Since Miss Ang buys one tray of eggs every day, Day N is also Sunday if and only if N ≡ 1 (mod 7).

Using the same method as in part (b), we get

\(P(N ≡ 1 (mod 7)) = Σk=0∞P(N = 7k + 1)\)

                         =\(Σk=0∞(0.98806738389)ⁿ⁻¹(0.01193261611)\)

                         = 0.1406909760

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Answer:

If the game with 3 hits is ignored the data becomes:

a) The mean will increase.

With 3:

Without 3:

b) The median will remain as is.

We were told that the number packages of pencils were 7 fewer than packages of pens

This means that the number of packages of pencils is p - 7

Given that Pencils cost $5.55 per package, the cost of p - 7 pencils would be

5.55(p - 7)

Given that pens cost $6 per package, the cost of p pens would be

p * 6 = 6p

Therefore, the expression, 6p + 5.55(p - 7) represents

Total cost of pens and pencil

The correct option is C

No the answer is actually 70 your welcome

Answer:

Step-by-step explanation:

The area of a shape is the amount of space it can occupy, while the perimeter is the sum of its sides.

Given that:

\(P = 39\) --- the perimeter of the shape

The value of x

The perimeter is the sum of all sides.

So, we have:

\(P = x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5)\)

Substitute 39 for P

\(x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5) = 39\)

\(2x + 24 = 39\)

Collect like terms

\(2x = -24 + 39\)

\(2x = 15\)

Divide through by 2

\(x = 7.5\)

The area of the shape

The shape can be divided into two rectangles

So, the area of the shape is:

\(Area = 9ft \times 3ft + (9 - 3.5 - 3.5)ft \times x ft\)

\(Area = 27ft^2 + 2ft \times x ft\)

Substitute \(x = 7.5\)

\(Area = 27ft^2 + 2ft \times 15 ft\)

\(Area = 27ft^2 + 30 ft^2\)

\(Area = 57 ft^2\)

Hence, the area of the shape is 57 square feet.

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Answer:

The equation for Brayden and Howard gaining the same number of yards has no solution. So, they could not have gained the same number of yards. Because Brayden and Howard could not have gained the same number of yards, all three could not have gained the same number of yards.

Step-by-step explanation:

(This is straight from Edmentum)

Answer:

Muscular strength and muscular endurance

Step-by-step explanation:

you are using strength to push up your body and you are using the muscular endurance because you are doing it over and over again