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Goryan [66]
3 years ago
10

Change 8.6 x 10^-4 to decimal notation

Mathematics
1 answer:
Bezzdna [24]3 years ago
3 0

Answer: 0.0086

Step-by-step explanation:

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Help ASAP please!!!!!!!
Bumek [7]
I think the answer will be (-4,3)
4 0
3 years ago
There are many regulations for catching lobsters off the coast of New England including required permits, allowable gear, and si
Georgia [21]

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

    = \frac{2.13}{\sqrt{60} }

    = \frac{2.13}{7.746} = 0.275

⇒μₓ⁻ = 0.275

Now,

P(X⁻ > 3.37) = 1 - P( X⁻ <  3.37)

                   = 1 - P(z <  \frac{3.37 - 4.25}{0.275} )

                   = 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

6 0
2 years ago
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution:
Brilliant_brown [7]
It would have an infinite amount of solutions.
Change each equation into y=mx+b form and then do system of equations.
5 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (-5, -7) and (4,−1)? in the simplest form
Murljashka [212]

Answer:

2/3

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points, then simplify:

(y2 - y1) / (x2 - x1)

(-1 + 7) / (4 + 5)

6/9

= 2/3

So, the slope of the line is 2/3

6 0
3 years ago
The slope of the line represented by the equation 2(x - 3) - 6y = 10 is<br> equal to what?
Mashcka [7]

Answer:

\frac{1}{3}

Step-by-step explanation:

The equation of the line is;

2(x - 3) - 6y = 10

Placing the line in slope intercept form we get;

6y = 2x - 6 - 10

6y = 2x - 16

Dividing throughout by 6 we get;

y = \frac{2}{6}x - \frac{16}{6}

Simplifying gives;

y = \frac{1}{3} x +2 \frac{2}{3}

So the slope of this line = \frac{1}{3}

3 0
3 years ago
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