Answer: The correct answer is option C: Both events are equally likely to occur
Step-by-step explanation: For the first experiment, Corrine has a six-sided die, which means there is a total of six possible outcomes altogether. In her experiment, Corrine rolls a number greater than three. The number of events that satisfies this condition in her experiment are the numbers four, five and six (that is, 3 events). Hence the probability can be calculated as follows;
P(>3) = Number of required outcomes/Number of possible outcomes
P(>3) = 3/6
P(>3) = 1/2 or 0.5
Therefore the probability of rolling a number greater than three is 0.5 or 50%.
For the second experiment, Pablo notes heads on the first flip of a coin and then tails on the second flip. for a coin there are two outcomes in total, so the probability of the coin landing on a head is equal to the probability of the coin landing on a tail. Hence the probability can be calculated as follows;
P(Head) = Number of required outcomes/Number of all possible outcomes
P(Head) = 1/2
P(Head) = 0.5
Therefore the probability of landing on a head is 0.5 or 50%. (Note that the probability of landing on a tail is equally 0.5 or 50%)
From these results we can conclude that in both experiments , both events are equally likely to occur.
Answer:
The number of bacteria after 
will be 
Step-by-step explanation:
Given the initially 30 bacteria present in the culture.
Also, the number of bacteria got doubled every hour.
So, using the equation
Where 
is number of bacteria after 
hours.
is bacteria present initially.
is the common ration, in our problem it is given that bacteria doubles every hour. So, 
And is the number of hours. In our problem we need amount of bacteria at the end of hours. So, 
Plugging values in the formula we get,
So, number of bacteria after will be
Answer:
<h2>35 × (3 + m)</h2>
Step-by-step explanation:
The distributive property:
<em>a × (b + c) = a × b + a × c</em>
105 = 35 × 3
35m = 35 × m
105 + 35m = 35 × 3 + 35 × m = 35 × (3 + m)
Answer:
x= ?
Step-by-step explanation:
Slope of perpendicular is -1/3.
Then equation is
y-5=(-1/3)(x+9)
