Answer:
Step-by-step explanation:
A quadratic equation can be factorised if and only if there are rational roots.
For any quadratic equation the discriminant decides about the nature of roots.
Thus only if the discriminant is a perfect square we can have rational roots and in this case only factorization is possible.
In the given equation
Since 1 is a perfect square we can factor and solve
Answer:
Cómo puedo ayudar
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
This question is about conditional probability. Let's say that the probability of raining on Saturday is X=true and the probability of raining on Sunday is Y=true. There is a 15% it will rain on both Saturday and Sunday, to put into the equation it will be:
P(X= true ∩ Y = true) = P(X = true) * P(Y = true)= 0.15
There is a 60% chance of rain on Saturday, mean the equation is
P(X = true) = 0.6
The question is asking for the chance of rain on Sunday or P(Y = true). If we substitute the second equation to first, it will be:
P(X = true) * P(Y = true)= 0.15
0.6* P(Y = true)= 0.15
P(Y = true)= 0.15/0.6
P(Y = true)= 0.25 = 25%
So,
We are trying to find the compound probability of there BEING oil and the test predicting NO oil.
The percent chance of there actually being oil is 45%. We can convert this into fraction form and simplify it.
45% -->
That is the simplified fraction form.
The kit has an 80% accuracy rate. Since we are assuming that the land has oil, we need the probability that the kit predicts no oil.
The probability that the kit detects no oil will be the chance that the kit is not accurate, which is 20% (100 - 80 = 20). We can also convert this into fraction form and simplify it.
20% -->
That is the probability of the kit not being accurate (not predicting any oil).
To find the compound probability of there being oil and the kit not predicting any oil, we simply multiply both fractions together.
So the probability of there BEING oil and the kit predicting NO oil is 9 in 100 chances.
It is 0.916. this is because it is 11/12
