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3 years ago

8. Compare the numbers in the following sequence and try to determine what the next number

1 answer:

8 0

Answer: 90
Explanation: The pattern is add 3 then the next set is double. [9-6=3 then 18-9=9(or doubled)] and the pattern continues and because 45-42=3 the next number set would be 45 doubles which equals 90.

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HELP PLEASE I NEED TO TURN THIS IN BEFORE WEDNESDAY

JulijaS [17]

Answer:

451

Step-by-step explanation:

4 0

3 years ago

The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d

aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

Where Average waiting time = μ = 2.5

The function f(t) becomes

$f(t)=0.4e^{-0.4t}$

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$

which is equal to 0.01

Solve the equation for x

$\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01$

Take natural log on both sides

$ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53$

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

3 0

3 years ago

In june 2005, Peter mailed a package from his local post office in Fayetteville North Carolina to a friend in Radford, virginia

den301095 [7]

The total price that Peter paid for the local parcel = $2.07

The rate per ounce at that time was = $0.23/ounce

Total weight of Peter's package = Total price paid by peter/ rate per ounce

Total weight of Peter's package = $2.07/$0.23 per ounce

We now have to divide 2.07/0.23 = 207/23 (Shifting both numerator and denominator by 2 decimal places) = 9

Total weight of Peter's package = 9 ounces

8 0

3 years ago

Please help!! I really need it.

Andrews [41]

It’s a I think but I’m not sure

7 0

3 years ago

Drag the correct factors to the expression. Not all factors will be used. Use synthetic division to find all the factors of this

fiasKO [112]

The factors are therefore; (4x – 3), (x + 3) and (x – 1)

<h3>What is a polynomial?</h3>

A polynomial is is a function that contains an algebraic term which is raised to a particular power.

If it is raised to power 1 it is linear
If it is raised to power 2 it is quadratic
If its is raised to power 3 it is cubic
If it i raised to power 3 it is quartic

Now we have;

4x³ + 5x² – 18x + 9

Thus we can write;

4x³ – 3x² + 8x² – 6x – 12x + 9

Using the factors;

x²(4x – 3) + 2x(4x² – 3) – 3(4x – 3)

Therefore;

(4x – 3)(x² + 2x– 3)

(4x – 3)(x² + 3x – x – 3)

(4x – 3)(x + 3)(x – 1)

The factors are therefore; (4x – 3), (x + 3) and (x – 1)

Learn more about polynomials:brainly.com/question/21334281

#SPJ1

3 0

1 year ago