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3 years ago

An ultramarathon relay of 37.2

Mathematics

1 answer:

Naya [18.7K]3 years ago

6 0

Equation represent situation is 6d = 37.2

Given:

Total distance cover by runners = 37.2 miles

Number of runners = 6

Find:

Equation represent situation

Computation:

Assume;

Each runner cover distance = d miles

So.

Total distance cover by runners = Number of runners × Each runner cover distance

37.2 = 6 × d

6d = 37.2

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A conical tent has a radius of 10.4 ft and a height of 8.4 ft. Doubling which dimensions will quadruple the volume of the tent?

avanturin [10]

Answer: Doubling the radius.

Step-by-step explanation:

The volume of a cone can be found with the following formula:

$V=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height of the cone.

Let's find the volume of the conical tent with a radius of 10.4 feet and a height of 8.4 feet.

Identifiying that:

$r=10.4\ ft\\\\h=8.4\ ft$

You get this volume:

$V_1=\frac{1}{3}\pi (10.4\ ft)^2(8.4\ ft)\\\\V_1=951.43\ ft^3$

If you double the radius, the volume of the conical tent will be:

$V_2=\frac{1}{3}\pi (2*10.4\ ft)^2(8.4\ ft)\\\\V_2=3,805.70\ ft^3$

When you divide both volumes, you get:

$\frac{3,805.70\ ft^3}{951.43\ ft^3}=4$

Therefore, doubling the radius will quadruple the volume of the tent.

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3 years ago

The distribution of the annual incomes of a group of middle management employees approximated a normal distribution with a mean

kondor19780726 [428]

Answer:

68% of the incomes lie between $36,400 and $38,000.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $37,200

Standard Deviation, σ = $800

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Empirical rule:

Almost all the data lies within three standard deviation of mean for a normally distributed data.
About 68% of data lies within one standard deviation of mean.
About 95% of data lies within two standard deviation of mean.
About 99.7% of data lies within three standard deviation of mean.

Thus, 68% of data lies within one standard deviation.

$\mu \pm \sigma\\=37200 \pm 800\\=(36400,38000)$

Thus, 68% of the incomes lie between $36,400 and $38,000.

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3 years ago

Problem 15.2. A nautical mile is a unit of distance frequently used in ocean navigation. It is defined as the length of an arc s

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Answer:

a) 6080 ft

b) 29.952 mph = 30 mph to 2s.f

c) 15.6 knots

Step-by-step explanation:

Length of an arc is given as (θ/360) × (2πr)

For a nautical mile, θ = 1' = (1/60)° = 0.01667°

Length of a nautical mile = (0.01667/360) × (2π × 3960) = 1.152 miles

1 mile = 5280 ft

1.152 miles = 5280×1.152 = 6082.1 ft = 6080 ft to the nearest 10 feet.

b) 1 knot = 1 nautical mile/hour

1 nautical mile/hour = 1.152 miles/hour (from part (a))

1 knot = 1.152 miles/hour

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13.4 I'm pretty sure

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3 years ago

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ExtremeBDS [4]

Answer:

Step-by-step explanation:

From the given sample of 10 entries we find

Mean =119.2

Median =120

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τ = $25000(119.2)\\= 2980000$

c) Proportion would be sample proportion = $\frac{8}{10} =0.8$

d) Population median usage = sample median usage = 120

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3 years ago