57 dollars, 30% tax what is the total price
2 answers:
Answer:
Total price: $74.10
Step-by-step explanation:
Given the $57 amount, and the additional 30% tax:
<h2>Step 1: Conversion of 30% to Decimal Form</h2>First, we must determine the nominal amount of 30% tax. In order to do so, simply convert 30% to its decimal form:
<h3><u>Conversion methods from percentage to decimal form:</u></h3>Method 1: move the decimal point two places to the left, which results in 0.30.
Method 2: Divide 30 by 100:
Multiply $57 by 0.30 to find how much is the dollar value of the 30% tax.
$57 × 0.30 = $17.10
<h2>Step 3: Find the total price</h2>Add $57 and $17.10 to determine the total price:
$57 + $17.10 = $74.10
Therefore, the total price is $74.10.
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Answer:
A) 68.33%
B) (234, 298)
Step-by-step explanation:
We have that the mean is 266 days (m) and the standard deviation is 16 days (sd), so we are asked:
A. P (250 x < 282)
P ((x1 - m) / sd < x < (x2 - m) / sd)
P ((250 - 266) / 16 < x < (282 - 266) / 16)
P (- 1 < z < 1)
P (z < 1) - P (-1 < z)
If we look in the normal distribution table we have to:
P (-1 < z) = 0.1587
P (z < 1) = 0.8413
replacing
0.8413 - 0.1587 = 0.6833
The percentage of pregnancies last between 250 and 282 days is 68.33%
B. We apply the experimental formula of 68-95-99.7
For middle 95% it is:
(m - 2 * sd, m + 2 * sd)
Thus,
m - 2 * sd <x <m + 2 * sd
we replace
266 - 2 * 16 <x <266 + 2 * 16
234 <x <298
That is, the interval would be (234, 298)
