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3 years ago

An orange traffic cone has a diameter of 10 in. and a height of 28 in.

Mathematics

1 answer:

masha68 [24]3 years ago

8 0

Answer:

733 inches

Step-by-step explanation:

V= 3.14*5^2*28/3

Order of Operations (PEMDAS)

5^2=25

25*3.14= 78.5

78.5*28= 2198

2198/3=732.66

Round to nearest cubic inch

733 inches

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The centers for disease control and prevention reports 25% baby boys 6 to 8 months in the US weigh more than 20 pounds a sample

Vesna [10]

Answer:

P(x < 3) = 0.1971

Explanation:

To calculate the probability that x babies weigh more than 20 pounds, we will use the binomial distribution, so it can be calculated as:

$\begin{gathered} P(x)=nCx\cdot p^x\cdot(1-p)^{n-x} \\ Where\text{ nCx=}\frac{n!}{x!(n-x)!} \\ \\ With\text{ n = size of sample} \\ p=\text{ probability of success \lparen the baby weight more than 20 pounds\rparen} \end{gathered}$

So, replacing n = 16 and p = 0.25, we get that the probability is equal to

P(x) = 16Cx (0.25)^x (1 - 0.25)^(16 - x)

$P(x)=16Cx\cdot0.25^x\cdot(1-0.25)^{16-x}$

Now, the probability that fewer than three weights more than 20 pounds are equal to

$\begin{gathered} P(x$

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1 year ago

A highway is going to be built around a city. The highway will be in the shape of a perfect circle, and its total length will be

Molodets [167]

Answer:

The area that is surrounded by the highway on the billboard is approximately 89.34 square meters

Step-by-step explanation:

The given parameters are;

The length of the circle shaped highway = 251.2 km

The scale of the map of the bus routes along the highway = 1:7,500

The circumference of a circle, C = 2·π·r = The length of the perimeter of the circle

Therefore, we have;

The circumference of the highway = The length of the circle shaped highway = 251.2 km

The circumference of the highway, C = 251.2 km = 2·π·r

The radius of the circular highway path, r = 251.2 km/(2·π) ≈ 39.994217 km

The area of a circle, A = π·r².

The area of the highway = π·r² = π × (39.994217 km)² ≈ 5,025.09492434 km.²

Given that the scale of the map = 1:7,500. we have;

The scale of the area = (1:7,500)² = (1:56,250,000)

The size of the drawing, 5,025.09492434 km.²/(56,250,000) = 0.00008933502 km² = 89.33502 m.²

Therefore, the area that is surrounded by the highway on the billboard, rounded to the nearest hundredth of a square meter ≈ 89.34 m.²

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3 years ago