9 days ago, the mold covered an area of .
Today (after 9 days), the mold covers an area of .
<em>What is the increase in area?</em> It went from 3 to 9. So the increase is .
Now, we need to find <em>rate of change</em>. It means to find how much the area increased every day over the past 9 days. We simply divide <em>the increase (6)</em> by the <em>total number of days (9)</em> to find the rate per day. So we have,
ANSWER: Change of Rate = per day
Percent of red lights last between 2.5 and 3.5 minutes is 95.44% .
<u>Step-by-step explanation:</u>
Step 1: Sketch the curve.
The probability that 2.5<X<3.5 is equal to the blue area under the curve.
Step 2:
Since μ=3 and σ=0.25 we have:
P ( 2.5 < X < 3.5 ) =P ( 2.5−3 < X−μ < 3.5−3 )
⇒ P ( (2.5−3)/0.25 < (X−μ)/σ < (3.5−3)/0.25)
Since, Z = (x−μ)/σ , (2.5−3)/0.25 = −2 and (3.5−3)/0.25 = 2 we have:
P ( 2.5<X<3.5 )=P ( −2<Z<2 )
Step 3: Use the standard normal table to conclude that:
P ( −2<Z<2 )=0.9544
Percent of red lights last between 2.5 and 3.5 minutes is % .
Answer:
The given Expression is sometimes true.
Step-by-step explanation:
from the question,
The given expression by Cary is .
So, solving the expression we get
⇒
Let is an integer.
Whenever,
(a) {
}
The given Expression always gives negative value.
(b) {
}
The given Expression always gives positive value.
Here, we get that the given Expression is not providing the Negative value always, that's why it is not always true and can't be never true.
Hence,
According to Cary's claimantion the given Expression is sometimes true.