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3 years ago

The height of a tree trunk is 20 meters and the base diameter is 0.5 meter.

1 answer:

5 0

Question a:

Mass = Density × Volume
Density = Mass/Volume

Volume of the tree trunk (the shape of Cylinder) = Area of circular base × height
Volume = [πr²] × h
Volume = [π × 0.25²] × 20
Volume = 3.93 m³

Density = 380 kg/m³

Mass = Density × Volume
Mass = 380 × 3.93
Mass = 1493.4 kg

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Question b)

The growth ring = 4 millimeters = 4÷1000 = 0.004
New diameter = 0.5 + 0.004 = 0.5004
New height = 20 + 0.2 = 20.2

New volume = [πr²] × h
New volume = [π × 0.2502²] × 20.2
New volume = 3.97 m³

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3 years ago

1. In order to get more female customers, a new clothing store offers free gourmet coffee and pastry to its customers. The avera

ioda

Answer:

No, the manager is not correct based on the 95% confidence interval.

Step-by-step explanation:

We are given that the average daily revenue over the past five-week period has been $1,080 with a standard deviation of $260, i.e.; X bar = $1080 and s = $260 and sample size, n = 35 .

The Pivotal quantity for 95% confidence interval is given by;

$\frac{Xbar - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, X bar = sample mean = $1080

s = sample standard deviation = $260

n = sample size = 35 {five-week}

So, 95% confidence interval for average daily revenue, $\mu$ is given by;

P(-2.032 < $t_3_4$ < 2.032) = 0.95

P(-2.032 < $\frac{Xbar - \mu}{\frac{s}{\sqrt{n} } }$ < 2.032) = 0.95

P(-2.032 * ${\frac{s}{\sqrt{n} }$ < ${Xbar - \mu}$ < 2.032 * ${\frac{s}{\sqrt{n} }$ ) = 0.95

P(X bar - 2.032 * ${\frac{s}{\sqrt{n} }$ < $\mu$ < X bar + 2.032 * ${\frac{s}{\sqrt{n} }$ ) = 0.95

95% confidence interval for $\mu$ = [ X bar - 2.032 * ${\frac{s}{\sqrt{n} }$ , X bar + 2.032 * ${\frac{s}{\sqrt{n} }$ ]

= [ 1080 - 2.032 * ${\frac{260}{\sqrt{35} }$ , 1080 + 2.032 * ${\frac{260}{\sqrt{35} }$ ]

= [ 990.70 , 1169.30 ]

<em>No, the manager is not correct based on the fact that the coffee and pastry strategy would lead to an average daily revenue of $1,200 because the calculate 95% confidence interval does not include value of $1200.</em>

Therefore, the store manager believe is not correct.

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3 years ago