Round 675,540 to the nearest.... 100: 1,000: 10,000:​

It is not necessary to know the number of successes to determine the mean of a binomial distribution. So the given statement is false.

The mean of a binomial distribution can be determined without knowing the number of successes involved in the problem. The mean of a binomial distribution is given by the product of the number of trials (n) and the probability of success on a single trial (p), denoted as np. This is a fixed value that represents the expected number of successes in a binomial distribution. The number of successes involved in the problem is not necessary to calculate the mean of a binomial distribution.

Therefore, it is not necessary to know the number of successes to determine the mean of a binomial distribution.

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The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= \(1 - (1 - e^{(-8/2)}^{5}\)

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

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The two-digit counting number is 41. Let's denote the tens digit as "x" and the units digit as "y." The first equation states that the number is 1 greater than 8 times the sum of its digits, which can be expressed as 10x + y = 8(x + y) + 1.

The second equation states that 3 times the tens digit is 11 greater than the units digit, which can be expressed as 3x = y + 11. Let's denote the tens digit as "x" and the units digit as "y." According to the given information, the first equation can be written as:

10x + y = 8(x + y) + 1.

Expanding the equation, we have:

10x + y = 8x + 8y + 1.

Simplifying, we get:

2x - 7y = 1. (Equation 1)

The second equation states that 3 times the tens digit is 11 greater than the units digit:

3x = y + 11. (Equation 2)

To solve this system of equations, we can use substitution or elimination. Let's solve it using substitution. We rearrange Equation 2 to express y in terms of x:

y = 3x - 11.

Substituting this expression for y in Equation 1, we have:

2x - 7(3x - 11) = 1.

Expanding and simplifying further:

2x - 21x + 77 = 1,

-19x + 77 = 1,

-19x = -76,

x = 4.

Now that we have the value of x, we can substitute it back into Equation 2 to find y:

y = 3(4) - 11,

y = 1.

Therefore, the tens digit (x) is 4, and the units digit (y) is 1. Combining these digits, the two-digit counting number is 41.

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Answer:

X= - 3

Step-by-step explanation:

Multiply both sides by 2 to remove the division on the LHS

3X - 15=8X

Move 3X to the RHS

-15 =8X - 3X

-15= 5X

Divide both sides by 5

-3 =X

\(\boxed{c.\:x\:=\:-3}\) ✅

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( \frac{3x - 15}{2} = 4x \\ ⇢ 3x - 15 = 4x \times 2 \\ ⇢ 3x - 15 = 8x \\ ⇢ 3x - 8x = 15 \\ ⇢  - 5x = 15 \\ ⇢ x = \frac{15}{ - 5} \\ ⇢ x = - 3\)

\({ \bf{ \underbrace{To\:verify :}}}\)

\( \frac{3x - 15}{2} = 4x \\ ⇢  \frac{3 \times (- 3) - 15 }{2} = 4 \times - 3 \\ ⇢  \frac{ - 9 - 15}{2} = - 12 \\ ⇢  \frac{ - 24}{2} = - 12 \\ ⇢  - 12 = - 12 \\ ⇢ L.H.S.=R. H. S\)

Hence verified.

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

The conclusion in the argument is "the good, according to Plato, is that which furthers a person's real interests." which it is the correct answer.

In a well-structured argument, the conclusion is what the argument aims to prove.

The conclusion can be located at the beginning or end of the argument, and it should always be precise, clear, and understandable.

The conclusion in the argument above is that "the good, according to Plato, is that which furthers a person's real interests."

The argument tries to explain that the good in Plato's philosophical teachings is a thing that advances a person's genuine interests.

The statement "it follows that" is the premise that links the argument with the conclusion.

The premise and the conclusion have a relationship of cause and effect, and this implies that the argument's conclusion is "the good, according to Plato, is that which furthers a person's real interests."

Therefore, the right option is: the good, according to Plato, is that which furthers a person's real interests.

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Answer:

D) 114

Step-by-step explanation:

111/6 is not integer. 112/6 is not an integer. 113/116 is not either. however, 114/6 is an integer.

Answer:

D) 114

Step-by-step explanation:

114/2 = 57

114/3 = 38

The amount of interest accrued on $3,600 at 7% for 60 days (rounded to the nearest dollar) is $1,512.

To calculate the amount of interest accrued, you can use the formula:

interest = principal x interest rate x time.

In this case, the principal is $3,600, the interest rate is 7%, and the time is 60 days.
Using the formula, we can calculate the amount of interest accrued as follows:
interest = $3,600 x 0.07 x 60

Simplifying the equation:
interest = $3,600 x 0.42
Calculating the product:
interest = $1,512
Therefore, the amount of interest accrued on $3,600 at 7% for 60 days (rounded to the nearest dollar) is $1,512.

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a=1

Hope this helps

have a great day!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Noice....

6(2y+6)=4(9+3y)

divide both sides by 2

6(2y+6) / 2 = 4(9+3y) / 2

then after simplification

3(2y+6) = 2(9+3y)

6y + 18 = 18 + 6y

w t hell

it cant be solved

it can be but i think its misprinted

the answer is 126 hope it helps

since the population standard deviations (σ1 and σ2) are not provided, we cannot calculate the exact test statistic Z.

To test the null hypothesis H0: (μ1 - μ2) = 0 versus the alternative hypothesis Ha: (μ1 - μ2) ≠ 0, we can use a two-sample z-test. The test statistic is calculated as:

Z = (x bar1 - x bar2) / sqrt((σ1^2 / n1) + (σ2^2 / n2))

Where:
X bar1 and x bar2 are the sample means of the two groups,
σ1 and σ2 are the population standard deviations of the two groups,
n1 and n2 are the sample sizes of the two groups.

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The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

The containers will never have the same amount of water.

Step-by-step explanation:

Container A has 100 L of water, and is being filled at a rate of 16 liters per minute.

Filling means that it is adding water.

This means that after m minutes, the amount of water in the container will be:

La(m) = 100 + 16m

Container B has 50 L of water, and is being drained at 6 liters per minute.

Draining means that it is removing water.

This means that after m minutes, the amount of water in the container will be:

Lb(m) = 50 - 6m

How many minutes, m, will it take for the two containers to have the same amount of water?

This is m for which:

La(m) = Lb(m)

100 + 16m = 50 - 6m

16m + 6m = 50 - 100

22m = -50

m = -2....

Since we cannot have a negative number of minutes, the answer is:

The containers will never have the same amount of water.

Answer:

15

Step-by-step explanation:

12+2x=42

2x=30

x=15

Answer:

Step-by-step explanation:

((23 x 4) + 2)+2

(92 + 2) +2

94 + 2 = 96

a)  A¹: (A¹)² = A × A.                           b) AO B = A + B = [a+e b+f; c+g d+h]

c)The equation (A + B)² = A² + 2AB + B² is not always true for 2x2 matrices A and B.

a) To find A², we simply multiply matrix A by itself: A² = A × A.

To find (A²), we need to raise each element of A to the power of 2: (A²) = [a₁₁² a₁₂²; a₂₁² a₂₂²].

To find (A¹)², we first need to find A¹. Since A¹ is simply A to the power of 1, A¹ = A. Then we can square A¹: (A¹)² = A × A.

b) Given matrices A = [a b; c d] and B = [e f; g h], we can perform the following calculations:

A ∨ B (element-wise multiplication):

A ∨ B = [a ∨ e b ∨ f; c ∨ g d ∨ h] = [ae bf; cg dh]

AA B (matrix multiplication):

AA B = A × A × B = (A × A) × B

AO B (matrix addition):

AO B = A + B = [a+e b+f; c+g d+h]

c) To prove or disprove the given equation for all 2x2 matrices A and B, we need to perform the calculations and see if the equation holds.

Starting with (A + B)²:

(A + B)² = (A + B) × (A + B)

= A × A + A× B + B ×A + B × B

= A² + AB + BA + B²

Now let's compare it to A² + 2AB + B²:

A² + 2AB + B² = A ×A + 2AB + B × B

To prove that (A + B)² = A² + 2AB + B², we need to show that A × B = BA, which is not generally true for all matrices. Therefore, the equation (A + B)² = A² + 2AB + B² is not always true for 2x2 matrices A and B.

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The graph of the equation 18x - 3x² + 4 = -6y² + 24y is an ellipse.

To determine the shape of the graph, we need to rewrite the equation in a standard form for conic sections.

Let's start by rearranging the terms:

-3x² + 18x + 6y² - 24y + 4 = 0

Next, we complete the square for both the x and y terms. For the x-terms, we divide the coefficient of x by 2 and square it:

-3(x² - 6x + 9) + 6y² - 24y + 4 = -3( (x - 3)² - 9) + 6y² - 24y + 4

Simplifying this equation further, we have:

-3(x - 3)² + 6y² - 24y + 4 + 27 = -3(x - 3)² + 6y² - 24y + 31

Combining like terms:

-3(x - 3)² + 6(y² - 4y) = -3(x - 3)² + 6(y² - 4y + 4) = -3(x - 3)² + 6(y - 2)²

Now, we have the equation in the standard form:

-3(x - 3)² + 6(y - 2)² = 31

Comparing this equation to the standard equation for an ellipse:

((x - h)²/a²) + ((y - k)²/b²) = 1

We can see that a² = 31/3 and b² = 31/6. Since both a² and b² are positive, the graph represents an ellipse.

The graph of the equation 18x - 3x² + 4 = -6y² + 24y is an ellipse.

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Answer:

The answer is A.

Step-by-step explanation:

We need to find the least amount of paper needed to wrap the entire cylinder. Therefore, we simply need to find the surface area of the cylinder.

Recall the formula for the surface area of a cylinder:

\(SA=2\pi r^2+2\pi rh\)

We know the diameter is eight inches, so the radius is four inches. We also know the height is 12. Using 3.14 for π, substitute:

\(SA=2(3.14)(4)^2+2(3.14)(4)(12)\)

\(SA\approx 401.92\text{ in}^2\)

Our answer is A.

Answer:

It's A

Step-by-step explanation:

I GOT IT RIGHT ON EDGE

Answer: 32130000

Step-by-step explanation:

Multiply all of your numbers

If the zeros of the polynomial are {x₁, x₂, x₃,...} and the known point is  (x₀, y₀), then the polynomial can be written as:

P(x) =  (x - x₁)*(x - x₂)*....*y₀/(x₀ - x₁)*(x₀ - x₂)*...

Now, suppose that we are given the zeros of the polynomial and these are:

{x₁, x₂, x₃,...}

We can write a general polynomial with a leading coefficient A as:

P(x) = A*(x - x₁)*(x - x₂)*....

Now, to determine the value of A, we also need to know a point, let's suppose that the known point is (x₀, y₀), then we can rewrite:

P(x₀) = y₀ = A*(x₀ - x₁)*(x₀ - x₂)*....

y₀/(x₀ - x₁)*(x₀ - x₂)*.... = A

And in that way we can write the polynomial with the known zeros:

{x₁, x₂, x₃,...}

And known point  (x₀, y₀)

as:

P(x) =  (x - x₁)*(x - x₂)*....*y₀/(x₀ - x₁)*(x₀ - x₂)*...

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Answer:

x=144

Step-by-step explanation:

x/12-5=7

x-60=84

x=84+60

x=144

Answer:

79 degrees

Verticle between wreak and boat

The vertical distance between the shipwreck and the boat is 89.76 feet.

We have a scuba diver who spots a shipwreck at an angle of depression of 26°. The angle of elevation from the scuba diver up to his boat is 53°. The shipwreck is located directly below his boat, and the horizontal distance between the scuba diver and the shipwreck is 120 feet.

We have to determine the vertical distance between the shipwreck and the boat.

If a person stands and looks up at an object, the angle of elevation is the angle between the horizontal line of sight and the object. If a person stands and looks down at an object, the angle of depression is the angle between the horizontal line of sight and the object.

According to question, we have -

Angle of elevation (A) = 26 degrees

Angle of depression (D) = 53 degrees

Horizontal distance between the scuba diver and the shipwreck = 120 feet.

Refer the image to understand the solution.

In Δ OAC -

OA = 120 x tan(53)

In Δ OBC -

OB = 120 x tan(26)

Now, the distance between shipwreck and the boat is x.

x = OA + OB

x = 120 x tan(53) + 120 x tan(26)

x = 120 [tan(53) +  tan(26)]

x = 120 x 0.748

x = 89.76

Hence,  the vertical distance between the shipwreck and the boat is 89.76 feet.

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Answer:

Let's do this step by step

Since there are 72 apples, the pears are 3 times as much. So multiply by 3

\(72 * 3=216\)

So there would be 216 pears.

Now for Kiwis

They are 2 times as much, Multiply by 2

\(72 *2=144\)

All together with the kiwi and the pears are

\(216+144=360\)

And all the fruits together it would be

432

Hope this helps

Answer by

Fishylikeswater

The number of pears, apples and kiwis Peggy has is 216, 72 and 144 respectively.

Number of apples = 72 apples

Number of kiwis = 2 × 72

= 144 kiwis

Number of pears = 72 × 3

= 216 pears

Therefore, Peggy has 144 kiwis

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trust my answer like it

The simplification of the expression ½(18t) + 2t(9) -12 is 27t-12

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible.

For example, 3a²+9a+12 can be simplified by bring out the common factors between the terms

= 3(a²+3a+4).

Similarly, 1/2(18t) + 2t(9) -12 can be simplified as;

9t + 18t -12

= 27t -12

therefore the simplification of ½(18t) + 2t(9) -12 is 27t-12

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Work Shown:

f(x) = 5x^2 - x + 20

f(3) = 5(3)^2 - 3 + 20

f(3) = 5(9) - 3 + 20

f(3) = 45 - 3 + 20

f(3) = 42 + 20

f(3) = 62

Notice that the intersecton of both inequality is located approximately at the point (150,50). This means that there are at least 100 more feet of quarter inch pipe than half inch pipe, and since the combined cost is represented by the inequality

then, it must not cost more than 800. Therefore, the correct option is a)

To accumulate $100,000 over 20 years at a 10% annual interest rate compound annually, you would need to make annual payments of $8,218.64.

You can use the formula for the future value of an annuity to accumulate $100,000 over 20 years at a 10% annual interest rate compound on a yearly basis:

\(FV = Pmt * [(1 + r)^n - 1] / r\)

Where:

FV is future value, which is $100,000 in that case

Pmt: annual payment

r: annual interest rate, which is 10%

n: number of payment periods, which is 20

By plugging in values:

\($100,000 = Pmt * [(1 + 0.1)^(20) - 1] / 0.1\)

Solving for Pmt, we get:

\(Pmt = $100,000 / [(1 + 0.1)^(20) - 1] / 0.1\\Pmt = $100,000 / 12.167\\Pmt = $8,218.64\)

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The graph matches the graph in option (D), hence, option (D) is the correct answer.

The given function is;

f(x) = 1 if -1 < x ≤ 0,

2 if 0 < x ≤ 1

3 if 1 < x ≤ 2

Note that from -1 to 0 the value of f(x) is 1, therefore, its graph will be a horizontal line passing through y = f(x) = 1 from -1 to 0.

Similarly, the graphs of f(x) =2 from o to 1 and f(x) = 3 from 1 to 2 will look like this.

The graph of the function is shown.

The graph matches the graph in option (D), hence, option (D) is the correct answer.

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