The first number in this item can be also expressed as 2.3 x 10³. Now, dividing the numbers 2.3 and 0.4 will give us an answer of 5.75. There exists a rule which states that when two similar numbers are divided only having different exponents, their exponents should be subtracted. The final answer to this item is therefore,
5.75 x 10¹¹

5 0

3 years ago

The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 40 to 75 mi

jeka57 [31]

Answer:

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

$P(X > x) = \frac{b - x}{b - a}$

Uniformly distributed over the interval 40 to 75 minutes.

This means that $a = 40, b = 75$

It is known that the cycle time exceeds 45 minutes

This means that we can use $a = 45$

What is the probability that the cycle time exceeds 50 minutes?

$P(X > 50) = \frac{75 - 50}{75 - 45} = 0.8333$

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

8 0

3 years ago

Please simplify 10{N + 3).

lana [24]

Answer:

Step-by-step explanation:

I must assume that you meant 10(N + 3). Let's not mix { with ).

10(N + 3) is as simple as this expression gets. You could, however, re-write it as 10N + 30.

6 0

3 years ago

Add three cube numbers.

marishachu [46]

Answer:

, two mathematicians, Andrew Sutherland of MIT and Andrew Booker of Bristol, have jointly proven that 42 is indeed the sum of three cubes. For years, mathematicians have worked to demonstrate that x3+y3+z3 = k, where k is defined as the numbers from

4 0

2 years ago