Joy makes 6.5 litres of soup, correct to the nearest 0.5 litre. She serves the soup in 280 ml portions, correct to the nearest 1
2 answers:
Amount of soup made by Joy = 6.5 liters and nearest to 0.5 liters is 7 liters
Amount of soup in each serving portion = 280 ml. As the last digit is zero, this will not be rounded off and nearest value will remain 280
Number of people being served = 22
So total consumption of soup for 22 people is =
= 6160 ml
In liters this is = liters
Hence, Joy has enough soup for 22 people.
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Answer:
a)
b)
c)
d)
And the dsitribution that satisfy this is
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
Part b
The expected value is givn by:
Part c
For the standard deviation we have this:
Part d
For this case the sample size needs to be higher or equal to 9. Since we need a value such that:
And the dsitribution that satisfy this is
We can verify this using the following code:
"=1-BINOM.DIST(3,9,0.75,TRUE)" and we got 0.99 and the condition is satisfied.
Answer:
About $241.11
Step-by-step explanation:
So, Karen receives 18.2 cents per paper.
She delivers 124 paper per day.
In other words, on days other than Sunday, she will make a total of:
On Sunday, each paper is sold for $0.70 or 70 cents. She also sells 151 Sunday papers. Thus, on a Sunday, she will make a total of:
Therefore, in one week, she will do the first equation six times and the Sunday equation once. Thus, her total pay will be: