Answer:
D. 
Step-by-step explanation:
Since we know that the odds of an events can be found by dividing the probability that an event will occur by the probability that the event will not occur.
Probability of an event not occurring can be found by subtracting probability of the event occurring from 1.
We have been given that probability of an event is 2/7.
Upon substituting our given values in above formula we will get,
Therefore, the odds of the same event are and option D is the correct choice.
Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.
Option A) is the correct answer.
<h3>What is the height of the oblique cylinder?</h3>
From Cavalieri's principle, the volume of an oblique cylinder is expressed as;
V = base area × h
V = πr² × h
Given that;
- Radius r = 9cm
- Volume of the oblique cylinder V = 486πcm³
- Height of the oblique cylinder h = ?
V = πr² × h
486πcm³ = π × ( 9cm )² × h
486πcm³ = π × 81cm² × h
486πcm³ = 81πcm² × h
h = 486πcm³ / 81πcm²
h = 6cm
Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.
Option A) is the correct answer.
Learn more on volume of cylinder here: brainly.com/question/16788902
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Remember the order of operations and do what is in parenthses first.
Take 9 to its power first, then add 2. Once you get that, take that answer to the 83721 power.
I would give you the answer, but my calculator is saying invalid input every time I am trying to use such high exponents. Sorry :( But I hope that this helps
Answer:
7.763×10^7 inches
Step-by-step explanation:
When writing 1225 in scientific notation, it is convenient to choose an exponent so that the division result comes out with the right scale factor. It is easy to see that 1.2 < 1.6, so use of numbers with exactly one digit to the left of the decimal point would result in a fraction as an answer. We want the answer to have 1 digit left of the decimal point, so by scaling the operands to be 12. and 1.6, we get that result. Of course, the powers of 10 are adjusted accordingly.
This scaling process only matters if you're computing the results by hand. Any calculator can properly keep track of the required exponents.
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"Back in the day" when slide rules were the calculating tool of choice, the operands and answer to any multiplication or division problem were only shown as 3 (sometimes 4) significant digits. All of the power-of-ten scaling was done "by hand" (usually, mentally). That is, the division would be 1225/1578 ≈ 776 × some scale factor. This is where thinking of the numbers as 12.25/1.578 = 7.76 comes in handy.
Answer:
1/5
Step-by-step explanation:
To avoid ambiguity, your negative exponent -3/2 should be enclosed in brackets or parentheses, as should your exponent 1/3:
( 25^[-3/2] )^ (1/3)
This is equivalent to:
(√25)^(-3)· (1/3), or
5^(-1), or 1/5.
