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2 years ago

Which is greater 9.018 or 9.108

Mathematics

1 answer:

professor190 [17]2 years ago

6 0

Answer:

9.108

You only need to look at the 10nths place to determine which number is larger

Step-by-step explanation:

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Which of the following is equvalent to (16^3/2)^1/2<br>A. 6<br>B. 8<br>C. 12<br>D. 64

bagirrra123 [75]

B. 8 is the answer.

Simplify to 2^4^(3/4) then 2^3 then that simplies to 8

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3 years ago

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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

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2 years ago

What is the measure of <R?

Verdich [7]

Answer:

<R=23°

Step-by-step explanation:

The sum of angles in a triangle is 180°

So, <R + <S + <T = 180°

<R+90°+67°=180°

<R+157°=180°

<R=23°

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3 years ago

Which of the following is the definition of a hypothesis?

Sergeu [11.5K]

Answer:

A. a testable scientific question

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