Answer:
3.18%
Step-by-step explanation:
(14/31) X (13/30)X (12/29) X (11/28) = 0.0318 = 3.18%
Answer:
y = 5x^2+10x +14
Step-by-step explanation:
y = 5(x+1)^2+9
= 5(x^2+2x+1)+9
= 5x^2+10x +14
Answer: C.) 4/27
Step-by-step explanation:
Given that:
One out of three cards is a winner :
P(winning) = 1 / 3
Therefore, P(not winning) = P(losing) :
1 - P(winning) = 1 - 1/3 = 2/3
Probability that shenice will first win on her third try can be interpreted as:
1st try = lose, 2nd try: lose, 3rd try : win
P(losing) × p(losing) × p(winning)
(2/3) × (2/3) × (1/3)
4 / 27
Probability of first winning on third try = 4/27
Answer:
Let's define the variables:
A = price of one adult ticket.
S = price of one student ticket.
We know that:
"On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69."
1*A + 6*S = $69
"The school took in $150 on the second day by selling 7 adult tickets and student tickets"
7*A + 7*S = $150
Then we have a system of equations:
A + 6*S = $69
7*A + 7*S = $150.
To solve this, we should start by isolating one variable in one of the equations, let's isolate A in the first equation:
A = $69 - 6*S
Now let's replace this in the other equation:
7*($69 - 6*S) + 7*S = $150
Now we can solve this for S.
$483 - 42*S + 7*S = $150
$483 - 35*S = $150
$483 - $150 = 35*S
$333 = 35*S
$333/35 = S
$9.51 = S
That we could round to $9.50
That is the price of one student ticket.
The formula for b from the given area is equal to (2A / h).
As given in the question,
Formula to find area of a triangle is equal to A = (1/2) b h
b represents the base of the triangle
h represents the height of the triangle
A = (1/2) b h
Multiply both the side by 2 in area formula
2A = b h
Divide both the side by h
b = (2A) / h
Therefore, the formula for b from the given area is equal to (2A / h).
The complete question is:
The formula A = (1/2)b h represents the area of a triangle where A represents the area, b is the base of the triangle and h is the height of the triangle. 1. Solve this formula for b.
Learn more about area here
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