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Sonbull [250]
2 years ago
10

You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 30 bacteria reveals a sampl

e mean of x=74 hours with a standard deviation of s=5.4 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.65 hours at a 99% level of confidence.
What sample size should you gather to achieve a 0.65 hour margin of error? Round your answer up to the nearest whole number.
Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
5 0

Answer:

458

Step-by-step explanation:

Margin of error = critical value × standard error

At 99% confidence, the critical value is z = 2.576.

The standard error is σ/√n = 5.4/√n.

Given the desired margin of error is 0.65:

0.65 = 2.576 × 5.4/√n

n = 458

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3 years ago
Write the equation of the circle with the given graph.
lara [203]

By identifying the radius and the center, we concluded that the equation is something like:

(x - 2)^2 + (y - 1.5)^2 = 1.8^2

<h3></h3><h3>How to write the equation of the circle?</h3>

For a circle centered on the point (a, b) with a radius R, the equation is:

(x - a)^2 + (y - b)^2 = R^2

So first we need to identify the center, we can see that it is: (2, 1.5)

And the radius is the distance between the center and the edge.

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Then the equation of the circle is something like:

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7 0
1 year ago
15. The table below shows the various ways
Kipish [7]

Answer:

45 %  

Step-by-step explanation:

\begin{array}{lc}\textbf{Method} & \textbf{Number}\\\text{Walk} & 36 \\\text{Bus} & 26 \\\text{Car} & 18 \\\text{TOTAL} & \mathbf{80} \\\end{array}\\\text{Percent of walkers} = \dfrac{36}{80} \times 100 \% = \mathbf{45 \, \%}

7 0
3 years ago
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zhenek [66]
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6 0
3 years ago
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Andru [333]

Answer:

16x^2 -48xy^3 +36y^6

Step-by-step explanation:

(4x-6y^(3))^(2)

FOIL

(4x-6y^3) (4x - 6y^3)

first: 4x*4x = 16x^2

outer : 4x (-6y^3) =-24xy^3

inner :  4x (-6y^3) =-24xy^3

last: -6y^3 * - 6y^3 = 36y^6

Add them together

16x^2 -24xy^3-24xy^3+36y^6

Combine like terms

16x^2 -48xy^3 +36y^6

4 0
3 years ago
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