The computation shows that the thickness of the beam is 3.75 inches.
<h3>How to calculate the values?</h3>
11. The thickness of the beam will be:
= 3/4 inch × 5
= 3.75 inches.
12. The length of the board will be:
= 7 5/8 × 5
= 38.125 inches.
13. The total height of the stairs will be:
= 8 3/16 × 13
= 106.4375 inches.
14. The height of the stack will be:
= 55 × 3/8in
= 20.625 inches.
15. The length of the board will be:
= 3/4 × 86 1/4
= 64.6875 inches.
16. The number of hours that it'll take to replace the trim will be:
= 37 1/2 × 1/4
= 9.375 hours.
17. The height of the will required will be:
= 22 × 5/12
= 9.167 feet
18. The inches removed from the wood will be:
= 1/16 × 7
= 0.4375 inches.
19. The shortest finish stock will be:
= 3/16 × 15
= 2.8125 feet.
20. The total amount of board wasted will be:
= 3/16 × 11
= 2.0625 inches.
21. The total rise in the staircase will be:
= 22 × 7 3/8
= 162.25 inches.
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Arithmetic sequences have a common difference between consecutive terms.
Geometric sequences have a common ratio between consecutive terms.
Let's compute the differences and ratios between consecutive terms:
Differences:
Ratios:
So, as you can see, the differences between consecutive terms are constant, whereas ratios vary.
So, this is an arithmetic sequence.
The given statement is "nine times five less than twice x".
So, twice of x can be written as 2x and nine times five is 9*5.
Now 9*5 less 2x means we need to take out 9*5 from 2x.
Hence, this statement will be converted into an algebraic expression as follows:
2x-9*5
Answer:
e. All of these statements are true.
Step-by-step explanation:
The first statement is true because an experiment is actually the process by which an observation is made. Consider rolling a die. It is called an experiment because we observe which side of the die lands facing upwards and that number is noted.
The second statement is also true because a simple event is the one which can not be further decomposed into an event. (Compound events can be decomposed into simple events).
The third statement is also true that an event is the collection of one or more simple events. An event can contain either simple events of compound events which are basically a combination of two or more simple events.
Hence, we can say that <u>all the statements are true</u>.
