Answer:
7.5
Step-by-step explanation: She can run 5km in 30 mins. That means she can run 1 km every 6 mins. 45/6= 7.5. She can run 7.5 km in 45 mins. Such an amazing feat my chubbiness can't compete with.
Answer:
<h3>For two events A and B show that P (A∩B) ≥ P (A)+P (B)−1.</h3>
By De morgan's law

which is Bonferroni’s inequality
<h3>Result 1: P (Ac) = 1 − P(A)</h3>
Proof
If S is universal set then

<h3>Result 2 : For any two events A and B, P (A∪B) = P (A)+P (B)−P (A∩B) and P(A) ≥ P(B)</h3>
Proof:
If S is a universal set then:

Which show A∪B can be expressed as union of two disjoint sets.
If A and (B∩Ac) are two disjoint sets then
B can be expressed as:

If B is intersection of two disjoint sets then

Then (1) becomes

<h3>Result 3: For any two events A and B, P(A) = P(A ∩ B) + P (A ∩ Bc)</h3>
Proof:
If A and B are two disjoint sets then

<h3>Result 4: If B ⊂ A, then A∩B = B. Therefore P (A)−P (B) = P (A ∩ Bc) </h3>
Proof:
If B is subset of A then all elements of B lie in A so A ∩ B =B
where A and A ∩ Bc are disjoint.

From axiom P(E)≥0

Therefore,
P(A)≥P(B)
Answer:
880 in³
Step-by-step explanation:
L = 20, W = 10, H = 8
2(h × W) + 2(h × L) + 2(W × L)
= 2(8*10) + 2(8*20) + 2(10*20)
= 2(80) + 2(160) + 2(200)
= 160 + 320 + 400
= 880 in³
The right triangle is also Isosceles. It has two equal angles of 45°.
(hypotenuse)² = 2S²
4 = 2S² => S = √2
Therefore B is the correct answer.
First simplify the equation and next multiply the 20 with the x^2 and find a number that adds together to give you the middle