Answer:
reflection across the x axis then reflection across the y axis
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello!
Given the probabilities:
P(A₁)= 0.35
P(A₂)= 0.50
P(A₁∩A₂)= 0
P(BIA₁)= 0.20
P(BIA₂)= 0.05
a)
Two events are mutually exclusive when the occurrence of one of them prevents the occurrence of the other in one repetition of the trial, this means that both events cannot occur at the same time and therefore they'll intersection is void (and its probability zero)
Considering that P(A₁∩A₂)= 0, we can assume that both events are mutually exclusive.
b)
Considering that you can clear the intersection from the formula and apply it for the given events:
c)
The probability of "B" is marginal, to calculate it you have to add all intersections where it occurs:
P(B)= (A₁∩B) + P(A₂∩B)= 0.07 + 0.025= 0.095
d)
The Bayes' theorem states that:
Then:
I hope it helps!
Answer:
A
Step-by-step explanation:
<u>Answer & Step-by-step explanation:</u>
<u>Question 18 </u>
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: x ≤ −10
Interval Notation: (−∞ , −10]
<u>Question 19</u>
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: x ≤ 4
Interval Notation: (−∞ , 4]
Curved surface area of a sphere =1256 cm
2
We know that, Curved surface area of a spehre =4πr
2
⟹1256=4×3.14×r
2
⟹r
2
=
4×3.14
1256
⟹r
2
=100
∴r=10 cm
Hence, the answer is 10 cm.
4186.66666666 volume of sphere