The appropriate conversion should be 0.2. If that's incorrect, please let me know.
Events A and B are termed independent when
if not, events A and B are classified as dependent.
The events A, B and A∩B are:
- A - Jane plans to attend a ballgame on Monday;
- B - Kate intends to go to a ballgame on Monday;
- A∩B - Both Kate and Jane will be at the ballgame on Monday.
Answer: events A and B are dependent
Answer:
The answer is 12
Step-by-step explanation:
Answer:
Robyn's model is logical, while Mark's is illogical.
Step-by-step explanation:
This question doesn't require calculations. What we need to do is analyze each model logically.
Mark's
Mark's representation indicates 20 instead of 2, which signifies that 200 is ten times greater than 20, making it nonsensical.
Robyn's
Robyn's representation displays 2, suggesting that 200 is 100 times greater than 2, which is not only accurate but also reasonable since 100 * 2 equals 200.
a) The area of a rectangle is calculated by multiplying the length by the width:
A = l·w
This formula allows us to express the width in terms of area and length. By dividing A by l, we find
A/l = w
We also recognize that the perimeter of a rectangle is the total length around it.
P = l + w + l + w
P = 2(l + w)
We aim to rewrite the perimeter formula to isolate l on one side, using the expression for w derived earlier.
P = 2(l + A/l)
By substituting the known value for A, we can express p(l) as
p(l) = 2(l + 25/l)
p(l) = 2l + 50/l
b) For lengths exceeding widths, we have
l > w
l > A/l
l² > A
l > √A
l > √25
This indicates that the domain of p(l) is
l ∈ (5, ∞)..... meters
