Answer:
21/676
Step-by-step explanation:
The total number of letters of the alphabet will be the total outcome which is 26 alphabets.
If consonant numbers are drawn out, the probability of drawing a consonant will be total consonants/total alphabets
Total consonants in the alphabet is 21.
Probability of drawing consonants = 21/26.
Since all the consonants are replaced before drawing a Z, our total outcome will not change i.e it will still be 26.
Probability of drawing a letter Z will be 1/26.
Therefore, the probability of drawing a consonant,replacing it, and then drawing a Z will be;
21/26×1/26
= 21/676
Answer:
The correct answer is 2.912 cm.
Step-by-step explanation:
A company is designing a new cylindrical water bottle.
Volume of a cylinder is given by π ×
× h, where h is the height of the cylinder and r is the radius of the cylinder.
The volume of each bottle will be 211
.
The height (h) of the water bottle be 7.9 cm.
Let the radius of the bottle be r cm.
∴ π ×
× h = 211 ; (π = 3.15)
⇒
× 24.885 = 211
⇒ r = 2.912
The radius of the water bottle is 2.912 cm.
Please, do not post more than 1 or 2 questions at a time. Out of courtesy I will address one of your six questions here:
<span>2x + 4 = 3(x – 2) + 1
You are to solve this for x.
1) perform the multiplication: </span><span>2x + 4 = 3x - 6 + 1
2) combine like terms: 4+6-1 = x
3) solve for x: x = 11
4) check: Is 2(11) + 4 = 3(11-2) + 1 true?
Is 22+4 = 33-6 true? NO. Try again, looking for the mistake:
</span><span>2x + 4 = 3(x – 2) + 1 => 2x + 4 = 3x - 6 + 1
4 = x - 5
9 = x
Check: Is 2(9) + 4 = 3(9-2) + 1 true? Is 18+4 = 22 true? YES.
The solution to #1 is x = 9 (answer).
Submit your other questions separately, please.
</span>
Let d represent number of days and n represent number of workers.
We have been given that when building a house, the number of days required to build varies inversely with with the number of workers.
We know that the equation
represents the relation where y is inversely proportional to x and k is the constant of proportionality.
So our required equation would be 
Upon substituting our given values, we will get:



Since constant of proportionality is 665, so our equation would be
.
To find the number of days it will take to build a similar house with 5 workers, we will substitute
in our equation as:


Therefore, it will take 133 days for 5 workers to build a similar house.