Answer:
15 people are able to be at the charity gala because 77:55 divided by 5:17.
Answer:

Step-by-step explanation:
The formula of a volume of a square pyramid:

a - base edge
h - height of a pyramid
We have H = 8in.
Substitute and solve for a:

Answer:
80/81
Step-by-step explanation:
If a head is twice as likely to occur as a tail, then the probability of getting heads is 2/3 and the probability of getting tails is 1/3.
The probability of getting at least 1 head involves 4 scenarios:
1) 1 Head and 3 Tails
2) 2 Heads and 2 Tails
3) 3 Heads and 1 Tail
4) 4 Heads
Instead of calculate all these scenarios, you could calculate the opposite scenario: 4 Tails. The sum of all possible scenarios is 1, so:
P(at least one head) + P(no heads) = 1
Then, P(at least one head) = 1 - P(no heads)
The probability of 4 tails is:
P(no heads) = P(TTTT) = (1/3)(1/3)(1/3)(1/3)=1/81
Then, P(at least one head) = 1 - 1/81=80/81
Answer:
x = -6
Step-by-step explanation:
3/ x = 4/(x-2)
Using cross products
3 (x-2) = 4x
Distribute
3x - 6 = 4x
Subtract 3x from each side
3x-3x-6 = 4x-3x
-6 =x
Find the Greatest Common Factor (GCF)
GCF = 7x
Factor out the GCF, (Write the GCF first, then in parenthesis, divide each term by the GCF.)
7x(56xy/7x + 7x/7x)
Simplify each term in parenthesis
<u>= -7x(8y + 1)</u>