Answer:
1506meters
Step-by-step explanation:
1hour-60minutes
which means half an hour is 30minutes,so it's more like they are asking you to find how far the swimmer can swim in 30minutes
50.2-1min
x -30min
x=50.2×30
x=1506meters
Answer: (A) 10 and e
<u>Step-by-step explanation:</u>
log 7 has an "invisible" base of 10
ln is the natural log which means that ln is actually log base e. So, ln 7 has a base of e
Answer:
<em><u>The final atmospheric pressure is 5.19 · 10⁴ Pa</u></em>
Step-by-step explanation:
Assuming that the temperature of the air does not change, we can use Boyle's law, which states that for a gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume. In formula,
pV = const.
where p is the gas pressure and V is the volume
The equation can also be rewritten as
p₁ V₁ = p₂ V₂
where in our problem we have:
p₁ = 1.03 · 10₅ Pa is the initial pressure (the atmospheric pressure at sea level)
V₁ = 90.0L is the initial volume
p₂ is the final pressure
V₂ = 175.0L is the final volume
Solving the equation for p2, we find the final pressure:
p₂ = p₁ v₁ divided by V₂ = (1.01 · 10⁵)(90.0) divided by 175.0 = 5.19 · 10⁴ Pa
we know that
The probability that "at least one" is the probability of exactly one, exactly 2, exactly 3, 4 and 5 contain salmonella.
The easiest way to solve this is to recognise that "at least one" is ALL 100% of the possibilities EXCEPT that none have salmonella.
If the probability that any one egg has 1/6 chance of salmonella
then
the probability that any one egg will not have salmonella = 5/6.
Therefore
for all 5 to not have salmonella
= (5/6)^5 = 3125 / 7776
= 0.401877 = 0.40 to 2 decimal places
REMEMBER this is the probability that NONE have salmonella
Therefore
the probability that at least one does = 1 - 0.40
= 0.60
the answer is
0.60 or 60%
Answer:
$28.
Step-by-step explanation:
p(x) = -2(x - 9)^2 + 100
If the prices (x) = 15 dollars we work out the profit by substituting x = 15 in the above formula:
p(15) = -2(15 - 9)^2 + 100
= -2 * 6^2 + 100
= $28.