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
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Answer:
24.
Step-by-step explanation:
With composition of functions (as with the order of operations) we perform what is inside of the parentheses first. So, g(3)=2(3)+2=8 and then f(8)=24.
Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067
Step-by-step explanation:
Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancy of the brand of tire in miles.
µ = mean
σ = standard deviation
From the information given,
µ = 40000 miles
σ = 5000 miles
The probability that a randomly selected tire will have a life of exactly 47,500 miles
P(x = 47500)
For x = 47500,
z = (40000 - 47500)/5000 = - 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.067