(-6 - 4) : (-5) = ? What is the answer to this plz help
1 answer:
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Answer:
Probability that the sample mean carapace length is more than 4.25 inches = 0.9993
Step-by-step explanation:
Given - There are many regulations for catching lobsters off the coast
of New England including required permits, allowable gear, and
size prohibitions. The Massachusetts Division of Marine Fisheries
requires a minimum carapace length measured from a rear eye
socket to the center line of the body shell. For a particular local
municipality, any lobster measuring less than 3.37 inches must
be returned to the ocean. The mean carapace length of the
lobsters is 4.01 inches with a standard deviation of 2.13 inches.
A random sample of 60 lobsters is obtained.
To find - What is the probability that the sample mean carapace length
is more than 4.25 inches?
Proof -
Given that, μ = 4.01, σ = 2.13 , n = 60
Now,
μₓ⁻ = σ / √n
=
= = 0.275
⇒μₓ⁻ = 0.275
Now,
P(X⁻ > 3.37) = 1 - P( X⁻ < 3.37)
= 1 - P(z < )
= 1 - P( z < -3.2 )
= 1 - 0.0007
= 0.9993
⇒P(X⁻ > 3.37) = 0.9993
∴ we get
Probability that the sample mean carapace length is more than 4.25 inches = 0.9993
Answer:
44
Step-by-step explanation:
The formula to find to area of a circle is = Area
The perimiter formula is = Perimeter
Since we know the area (154cm) we can find the radius (r) with the formula.
You first have to find what the radius of the circle is with.
= 154
3.14=154
Now simplify.
=49 (rounded)
r=7
Now we can find the perimeter with the formula above.
= P
Now plug in.
2(3.14)(7)= P
44=P (Rounded)