Answer: See explanation
Step-by-step explanation:
Let the price of apples be represented by a
Let the price of guyabanos be represented by g.
Since Marcel buys 5-star apples for PhP5.00 each and 3 guyabanos for PhP32.50 each. This will be:
C = 5a + 3g
where
a = PhP5.00
g = PhP32.50
c = Total cost
Therefore, an expression for the total cost of the fruits she buys will be:
C = 5a + 3g
C = 5(5.00) + 3(32.50)
The equation for the amount of change the cashier should give her if she gives the cashier PhP200.00 will be:
= 200.00 - 5(5.00) + 3(32.50)
= 200.00 - (25.00 + 97.50)
= 200.00 - 122.50
= Php77.50
Answer:
Plane A will be farther because it is flying at a lower angle so it will be able to cover more ground by flying slightly more forwards than going more upwards like plane B
Answer:
There is a 99.99998% probability that at least one valve opens.
Step-by-step explanation:
For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

Calculate P(at least one valve opens).
This is 
Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:


So


Finally

There is a 99.99998% probability that at least one valve opens.