An airplane covers 94 miles in 1/6 of an hour

The airplane can cover blank miles in 6 hours
What is the answer

Answer:hbwufvj6y

Step-by-step explanation:

Answer:

Each chocolate truffle is $2.125

Step-by-step explanation:

Honestly, I'm not 100% sure if this is correct, and I am truly sorry if this is wrong, but its worth a try :)

Answer:

1.

a. 2

b. 0.1353 probability that exactly 0 customers will arrive during a five-minute period, 0.2707 that exactly 1 customer will arrive, 0.2707 that exactly 2 customers will arrive and 0.1805 that exactly 3 customers will arrive.

c. 0.1428 = 14.28% probability that delays will occur.

2.

a. 0.4512 = 45.12% probability that the service time is one minute or less.

b. 0.6988 = 69.88% probability that the service time is two minutes or less.

c. 0.3012 = 30.12% probability that the service time is more than two minutes.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

\(f(x) = \mu e^{-\mu x}\)

In which \(\mu = \frac{1}{m}\) is the decay parameter.

The probability that x is lower or equal to a is given by:

\(P(X \leq x) = \int\limits^a_0 {f(x)} \, dx\)

Which has the following solution:

\(P(X \leq x) = 1 - e^{-\mu x}\)

The probability of finding a value higher than x is:

\(P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}\)

Question 1:

a. What is the mean or expected number of customers that will arrive in a five-minute period?

0.4 customers per minute, so for 5 minutes:

\(\mu = 0.4*5 = 2\)

So 2 is the answer.

Question b:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353\)

\(P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707\)

\(P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707\)

\(P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1805\)

0.1353 probability that exactly 0 customers will arrive during a five-minute period, 0.2707 that exactly 1 customer will arrive, 0.2707 that exactly 2 customers will arrive and 0.1805 that exactly 3 customers will arrive.

Question c:

This is:

\(P(X > 3) = 1 - P(X \leq 3)\)

In which:

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)

The values we have in item b, so:

\(P(X \leq 3) = 0.1353 + 0.2707 + 0.2707 + 0.1805 = 0.8572\)

\(P(X > 3) = 1 - P(X \leq 3) = 1 - 0.8572 = 0.1428\)

0.1428 = 14.28% probability that delays will occur.

Question 2:

\(\mu = 0.6\)

a. What is the probability that the service time is one minute or less?

\(P(X \leq 1) = 1 - e^{-0.6} = 0.4512\)

0.4512 = 45.12% probability that the service time is one minute or less.

b. What is the probability that the service time is two minutes or less?

\(P(X \leq 2) = 1 - e^{-0.6(2)} = 1 - e^{-1.2} = 0.6988\)

0.6988 = 69.88% probability that the service time is two minutes or less.

c. What is the probability that the service time is more than two minutes?

\(P(X > 2) = e^{-1.2} = 0.3012\)

0.3012 = 30.12% probability that the service time is more than two minutes.

Answer:

A0=3kg

t1/2=67y

λ=ln2/t1/2

λ=0.6931/67

λ=0.0103447761-> 0.0103

Final Amount=Aoe^-λ×t

Final Amount=A0e^-0.0103447761×t

You can put the time that you want to find how much of the material has been left after a certain amount of time

as an example

if t=143years

Final Amount=3×e^-0.0103447761×143

Final Amount=3×e^−1.479302982

Final Amount=0.6833892338

A0 is the amount of material that we have before it goes into radioactive decay

Answer:

One proportion is 15 songs / 2.5 hours = 18 songs / h hours.

ok I'll try to answer

first the given 15/2.5=18/h

so the second hour is missing so we have to multiply cross then the result will be

15h=45

divide 15 for 15 and we got h

again divide 45 for 15

[h=3]

Answer:

Step-by-step explanation:

The simplified result of the expression \(2\times 10^{4} - 7^3\) is: 19657.

Here, we have to evaluate the expression \(2\times 10^{4} - 7^3\),

Calculate the exponentials first:

\(10 ^4 =10,000\)

(since \(10 ^4\), means 10 raised to the power of 4)

\(7 ^3 =343\)

(since \(7 ^3\), means 7 raised to the power of 3)

Substitute the values back into the expression:

\(2\times 10^{4} - 7^3\)

=2 × 10000 − 343

Perform the multiplications and subtractions:

2×10,000=20,000

Now subtract 343 from 20,000:

20,000−343=19,657

So, we get,

\(2\times 10^{4} - 7^3\)

=19,657.

The expression involves exponentiation and basic arithmetic operations. We calculate the values of \(10^4\) and \(7^3\) , then substitute those values into the expression.

After performing the multiplications and subtractions, we get the final result of 19,657.

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y = (-3/2)x - 1

================================================

Explanation:

The general slope intercept form is y = mx+b

The slope of the original line in the graph is m = 2/3. Flip the fraction and flip the sign to get -3/2 as the perpendicular slope. The original slope and perpendicular slope multiply to -1.

Since the perpendicular slope is -3/2, this narrows the choices between B and D.

We'll plug this perpendicular slope as the new m value, along with the coordinates of the point (-2,2). Then we solve for the y intercept b value.

So,

y = mx+b

2 = (-3/2)*(-2) + b

2 = -1.5*(-2) + b

2 = 3 + b

2-3 = b

-1 = b

b = -1

With m = -3/2 and b = -1, we have the final answer y = (-3/2)x-1 which is choice B

Side notes:

A compound interest formula is a type of exponential equation. That is option C

Exponential equations are those equations that has their variables as exponents. A typical example of this type of equation is the compound interest formula.

The compound interest formula is an exponential equation because the little sum invested as capital, once the interest is added, the balance will earn more capital during the next compounding period.

Therefore, a compound interest formula is a type of exponential equation.

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+* Answer *+

$5,590

*+Step-by-step explanation:*+

$5,000 x 5.9% = $295
$95 x 2 (months), = 590

5,000 + 590 = 5,590

So therefore you have $5,590 dollars.

hope this helps! : )

The mean, median, and mode of the data Lengths of Longest 3 Point Kick for NCAA Division 1-A Football  32 46 48 44 31 36 56 59 32 31 55 52 58 40 59 46 35 49 59 37 is :

Mean of the data set can be calculated as,

Mean = ∑xi/n

Here number of sample(n) = 20

So Mean,

(32+46+49+44+31+36+56+59+32+31+55+52+58+40+59+46+35+49+59+37)/20

= 905/20

= 45.25 or 45.3

Median can be calculated as,

Median = (n+1)/2 = (20+1)/2 th value = 10.5th value

Now we will sort the data from smallest to largest data value as follows

31,31,32,32,35,36,37,40,44,46,46,48,49,52,55,56,58,59,59,59

So 10th value from the sorted data is 46 and 11th value is 46

So Median = (46+46)/2 = 46

Mode of the data set is 59 as this value is occuring most of the times in the data set.

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The table has been shown using the function rule y = 5x - 2. (Refer to the table attached below).

So, the rule is y = 5x - 2:

Now calculate values as follows:

(A) When x = 0:

(B) When x = 1:

(C) When x = 2:

(D) When x = 3:

Therefore, the table has been shown using the function rule y = 5x - 2. (Refer to the table attached below)

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Answer:

16.97056

Step-by-step explanation:

The linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given function is f(x)=24x³+14x²-11x-6 and one of the factor is (2x+1).

Here, 24x³+14x²-11x-6 can be written as 24x³+12x²+2x²+1x-12x-6

12x²(2x+1)+1x(2x+1)-6(2x+1)

= (2x+1)(12x²+1x-6)

= (2x+1)(12x²+1x-6)

= (2x+1)(12x²+9x-8x-6)

= (2x+1)[3x(4x+3)-2(4x+3)]

= (2x+1)(4x+3)(3x-2)

Therefore, the linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).

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Answer:

SAS

Step-by-step explanation:

Proof:

Side AB ≅ DB (Given)

∠ABC ≅ DBC (Given)

Side BC ≅ Side BC (Reflexive Property of Congruence).

ΔABC ≅ ΔDBC (CPCTC)

~

Answer:

-6

Step-by-step explanation:

look at the y-axis (the vertical center line) where it passes through it is the intercept

Given:

TR = 11 Ft

∠RTS = 16°

Let's determine the length of Arc PS,

Step 1: Let's first determine the angle of Arc PS.

∠RTS = 16°

∠PTQ = 16° ; Vertical angle pair of ∠RTS

Since ∠QTR = ∠PTS under the rule of vertical angles, we can now determine the measure of ∠PTS or Arc PS.

We get,

Step 2: Let's determine the perimeter of the circle.

Step 3: Let's determine the length of Arc PS.

Therefore, the length of Arc PS is 31.47 ft.

It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.

Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.


The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.

A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).

A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).

A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).

Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).

In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.

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The algorithm justifies the answer of 3/5 as the fraction each person gets.

Representation of the fractions on the second row:

From what you described, two of the loaves were divided into thirds.

This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.

Therefore, each person receives one fifth from this remaining third.

So, the representation of the fractions on the second row would be:

Each person receives 1/3 (one third) from the two loaves.

Each person receives 1/5 (one fifth) from the remaining third.

Algorithm/Abstract strategy to justify the 3/5 found as the answer:

To find the final answer of 3/5, we can follow the steps you provided:

Divide two loaves into thirds, giving each person 1/3.

Divide the remaining third from the second loaf into fifths, giving each person 1/5.

Combining the fractions, each person has 1/3 + 1/5.

To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:

1/3 = 5/15 (multiplying numerator and denominator by 5)

1/5 = 3/15 (multiplying numerator and denominator by 3)

Now, we can add the fractions:

5/15 + 3/15 = 8/15

Therefore, each person receives 8/15 of a loaf.

Simplifying this fraction, we get 3/5.

Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.

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Answer:

5/4

Step-by-step explanation:

They are like fractions.

So, \(\frac{2}{4} + \frac{3}{4}\) can be written as \(\frac{2+3}{4}\)

Thus the answer is \(\frac{5}{4}\).

Answer:4f^8+5g+39

Step-by-step explanation:

Length of gz = 12 units

Length of ot = 14.4 units

Given,

Triangle EGD with centroid at Z .

Now,

As we know that centroid divides the line segment in the ratio 2:1 .

Firstly calculate the length of gz,

gu = 18 unit

gz:zu = 2:1

gz = 2/3  * 18

gz = 12 units .

Secondly calculate the length of ot,

zt = 4.8 units

oz:zt = 2:1

oz = 4.8 * 2

oz = 9.6 units

ot = 9.6+ 4.8

ot = 14.4 units

Hence with the centroid length of ot and gz can be found out .

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The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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Answer:

True

Step-by-step explanation:

3x5=15

15+8=23

23=23

Answer:

True

Step-by-step explanation:

3 x 5 = 15

15 + 8 = 23

Answer:

Spherical-Like Shape

Step-by-step explanation:

An s-orbital is spherical with the nucleus at its center.

Answer:

5/12

Step-by-step explanation:

tan(x)=sin(x)/cos(x)

So by substitution we have

tan(x)=(5/13)/(12/13)

Multiplying numerator and denominator by 13 gives

tan(x)=5/12

Answer:

y=3x+4

Step-by-step explanation:

4 is your y-intercept, and 3 is your slope.

The linear function shows the total cost will be y = 3x + 4.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

A taxi ride costs $4 plus an additional $3 per mile.

Let's say the number of miles is represented as x while the total cost is represented as y.

y = 3x + 4

Hence "The linear function shows the total cost will be y = 3x + 4".

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Answer:

B. L and N

Step-by-step explanation:

Let's solve each system

✔️System L:

3x + y = 8 => Eqn. 1

x - 4y = -6 => Eqn. 2

x = -6 + 4y

Substitute x = (-6 + 4y) in eqn. 1

3(-6 + 4y) + y = 8

-18 + 12y + y = 8

-18 + 13y = 8

13y = 8 + 18

13y = 26

y = 26/13

y = 2

Substitute y = 2 into Eqn. 2

x - 4y = -6

x - 4(2) = -6

x - 8 = -6

x = -6 + 8

x = 2

Solution to system L = (2, 2)

✔️System M:

4x - 3y = 2 => Eqn. 1

5x - 4y = -30 => Eqn. 2

Multiply eqn 1 by 5, and eqn. 2 by 4

20x - 15y = 10

20x - 16y = -120

Subtract

y = 130

Substitute y = 130 into eqn. 1

4x - 3(130) = 2

4x - 390 = 2

4x = 2 + 390

4x = 392

x = 392/4 = 98

Solution to system M = (98, 130)

✔️System N:

4x - 3y = 2 =>Eqn. 1

2x - 8y = -12 => Eqn. 2

Multiply Eqn. 1 by 2, and eqn. 2 by 4

8x - 6y = 4

8x - 32y = -48

Subtract

26y = 52

y = 52/26

y = 2

Substitute y = 2 into eqn. 1

4x - 3(2) = 2

4x - 6 = 2

4x = 2 + 6

4x = 8

x = 8/4

x = 2

Solution to system N = (2, 2)

Answer:

y = 3x - 11

Step-by-step explanation:

(3, -2) and (5, 4)

m = 4+2/5-3

m = 6/2

m = 3

y = 3x + b

4 = 3(5) + b

4 = 15 + b

b = -11

y = 3x - 11

Answer

2

Step-by-step explanation:

1 + 1 =2