<span>What is the probability that a five-card poker hand contains the ace of hearts?
1/52</span>
Answer:
.
Step-by-step explanation:
We have been given a geometric sequence 18,12,8,16/3,.. We are asked to find the common ratio of given geometric sequence.
We can find common ratio of geometric sequence by dividing any number by its previous number in the sequence.
Let us use two consecutive numbers of our sequence in above formula.
will be 12 and 
will be 18 for our given sequence.
Dividing our numerator and denominator by 6 we will get,
Let us use numbers 8 and 16/3 in above formula.
Therefore, we get as common ratio of our given geometric sequence.
Answer:
A
Step-by-step explanation:
We want to find the surface area, which will essentially just be the areas of all the figures given in the net.
We have two congruent triangles and 3 different rectangles.
<u>Triangles</u>:
The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height. The base here is 3 and the height is 4, so:
A = (1/2) * b * h
A = (1/2) * 3 * 4 = 6
Since there are two triangles, multiply 6 by 2: 6 * 2 = 12 cm squared
<u>Rectangles</u>:
The area of a rectangle is denoted by: A = b * h, where b is the base and h is the height.
The base of the leftmost rectangle is 4 and the height is 7, so:
A = b * h
A = 4 * 7 = 28
The base of the middle rectangle is 3 and the height is 7, so:
A = b * h
A = 3 * 7 = 21
The base of the rightmost rectangle is 5 and the height is 7, so:
A = b * h
A = 5 * 7 = 35
Add these together:
12 + 28 + 21 + 35 = 96 cm squared
The answer is thus A.
Answer:
And solving we got:
Step-by-step explanation:
For this case we can define the following notation:
represent the width
And we want a maximum error of 0.0003 so we can set up the following equation:
And solving we got:
