Answer:
it is 86
Step-by-step explanation:
House 1 has 6 sticks. House 2 has 11, house 3 has 16, and the pattern goes on. Each following house uses 5 more sticks. At design 17, we can use this pattern to solve for it. We would do 5*17, remembering to add 1 as house 1 has its own additional stick. 5*17 + 1 = 86
Hope this helps, let me know if you have any questions :))
Answer:
Step-by-step explanation:
P(A|B) = P(A and B) / P(B)
Total number of cards = 52
a)
Let A denotes the event that the card is a diamond and B denotes the card is red.
b)
Let A denotes the event that the card is red and B denotes the card is diamond.
c)
Let A denotes the event that the card is nine and B denotes the card is red.
d)
Let A denotes the event that the card is a king and B denotes the card is a face card.
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Answer:
true
Step-by-step explanation:
Volume of a sphere and a cone
We have that the equation of the volume of a sphere is given by:
We have that the radius of a sphere is half the diameter of it:
Then, the radius of this sphere is
r = 6cm/2 = 3cm
<h2>Finding the volume of a sphere</h2>
We replace r by 3 in the equation:
Since 3³ = 3 · 3 · 3 = 27
If we use π = 3.14:
Rounding the first factor to the nearest hundredth (two digits after the decimal), we have:
4.18666... ≅ 4.19
Then, we have that:
Then, we have that:
<h2>Finding the volume of a cone</h2>
We have that the volume of a cone is given by:
where r is the radius of its base and h is the height:
Then, in this case
r = 3
h = 6
and
π = 3.14
Replacing in the equation for the volume:
Then, we have:
3² = 9
Answer: the volume of the cone that has the same circular base and height is 56.52 cm³