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3 years ago

Elizabeth rolls a die 108 times. How many times can she expect to roll a 2? A. 54 B. 18 C. 36 D. 24

Mathematics

2 answers:

gregori [183]3 years ago

6 0

As there are 6 numbers on a die you would expect to 2 roll about 108/6 = 18 times

B

Gala2k [10]3 years ago

5 0

Answer is B. 54 times

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3 years ago

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t

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NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

$h(t)=-4.9t^2+121t+283$

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

$h(t)=0\implies-4.9t^2+121t+283=0$

Using the quadratic formula, the solution for our problem is

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The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have

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1 year ago

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Step-by-step explanation:

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3 years ago

Problem 9

lapo4ka [179]

Answer:

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Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at $\frac{1}{4}$ capacity, we can use the equation:

$\frac{1}{4} * 12 = \boxed{3}$

This shows $\frac{1}{4}$ of his tank's capacity ( $12$ ) is equal to $3$ gallons. This means he will stop for gas when $3$ gallons are remaining.

Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.

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Now we can how many hours of gas Leon has left.

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