Gram is planning a party he for his younger sister he has 36 prizes and 24 Blynn's how many children can he have at the party's
1 answer:
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Answer:
Josh's total bill is $ 27.825
Step-by-step explanation:
Given:
The subtotal of the Josh Bill = $21.00
<u>Finding the usual amount Josh gave as Tip To his sever:</u>
Usually josh tips 20% to all servers
So Tip = 20% of his subtotal
=>
=>
=>
=>4.2
So Josh usually tips $4.2 to his server
<u>Finding the amount Josh gave 25%</u><u> </u><u>as Tip To his sever:</u>
But now he tips 25% which is
=> 25% of 21
=>
=>
=> 5.25
Thus the tip amount will be $5.25
So he will be giving (5.25 - 4.2) = $1.05 more than the usual tip
<u>Finding the total bill</u>
The total bill = subtotal+ 7.5% sales tax + 25% tip
=> 21 + 7.5 % of 21 + 25% of 21
=>
=>
=> 21 +1.575 +5.25
=>27.825
Answer:
The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample mean is given by,
And the standard deviation of the distribution of sample mean is given by,
The information provided is:
<em>μ</em> = 144 mm
<em>σ</em> = 7 mm
<em>n</em> = 50.
Since <em>n</em> = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.
Compute the probability that the sample mean would differ from the population mean by more than 2.6 mm as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.