The mixed number 4 1/2 is equal to which improper fraction?
2 answers:
Answer: 9/2
Step-by-step explanation: To write a mixed number as an improper fraction, first multiply the denominator times the whole number, then add the numerator.
So here, we multiply the denominator, 2, times the whole number, 4, then we add the numerator, 1. So we have (2 × 4) + 1 of 8 + 1 which is 9.
Finally, we put our new number over our old denominator and we have our answer, 9/2. There is also an image provided showing my work.
So 4 and 1/2 can be rewritten as the improper fraction 9/2.
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Answer:
The probability that the sample proportion will be less than 0.05 is 0.80511.
Step-by-step explanation:
We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services.
Suppose the true proportion is 0.04 and 349 are sampled.
<u><em>Let </em></u><u><em> = sample proportion</em></u>
The z score probability distribution for sample proportion is given by;
Z = ~ N(0,1)
where, = sample proportion
n = sample size = 349
p = population proportion = 0.04
Now, the probability that the sample proportion will be less than 0.05 is given by = P( < 0.05)
P( < 0.05) = P(
<
) = P(Z < 0.86) = 0.80511
<em>The above probability is calculated by looking at the value of x = 0.86 from the z table which has an area of 0.80511.</em>
Hence, the probability that the sample proportion will be less than 0.05 is 0.80511.