We want to find the probability that Berenice gets all the answers correct.
<u>1 question:</u>
Each question has 4 options, each option has the same probability of being the correct option, so she has a 25% of<u> randomly selecting the correct option.</u>
Then the probability here will just be equal to the number of correct options (1) over the total number of options (4)
p = 1/4
2 questions:
We already know the probability for one question, then the probability of getting two questions correct will be equal to the <u>product of the individual probabilities</u> for each question:
p = (1/4)*(1/4 = 1/16
3 questions:
Similar approach as before:
p = (1/4)*(1/4)*(1/4) = 1/64
4 questions:
p = (1/4)*(1/4)*(1/4)*(1/4) = 1/256
If you want to learn more, you can read:
brainly.com/question/23044118
Answer:
never
Step-by-step explanation:
The expression: ~q means "not q"
If ~q is false, then q is true
The expression:
If p is true and ~q is false
is equivalent to:
If p is true and q is true
then:
If p is true and q is true, then p -> q is <u>never</u> false (or is always true, see table attached). Or:
If p is true and ~q is false, then p -> ~q is <u>never</u> false.
Answer:
yes.
Step-by-step explanation:
by performing the vertical line test, you can see that the line only goes through one point, so it is a function.
Answer:
Area of the semi circle is given by

Area of the triangle is given by,

Area of the given figure,

Answer:x=12cm
Step-by-step explanation:
PA ×PB=PT^2
4×(4+x)=(8)^2
16+4x=64
4x=64-16
4x=48
x=12cm