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2 years ago

What is the exact volume of the cylinder?

Mathematics

2 answers:

kenny6666 [7]2 years ago

6 0

V = pi r^2 * h
V = pi * 9 * 6
V = 54 pi in^3

Amiraneli [1.4K]2 years ago

4 0

I think this would be 54. :)

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Round 10,982 to the nearest thousand

nadezda [96]

11,000 - rounded to the nearest thousand!

4 0

2 years ago

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.3. (Round your ans

Maurinko [17]

Answer:

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 1.3

Sample size, n = 12

We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3}{\sqrt{12}} = 0.3753$

P(sample mean hardness for a random sample of 12 pins is at least 51)

$P( x \geq 51) = P( z \geq \displaystyle\frac{51 - 50}{0.3753}) = P(z \geq 2.6645)$

$= 1 - P(z < 2.6645)$

Calculation the value from standard normal z table, we have,

$P(x \geq 51) = 1 - 0.9961= 0.0039$

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

3 0

3 years ago

Find the exact values of the remaining five trigonometric functions of o satisfying the given conditions.

Lyrx [107]

First, tan(θ) = sin(θ) / cos(θ), so if cos(θ) = 3/5 > 0 and tan(θ) < 0, then it follows that sin(θ) < 0.

Recall the Pythagorean identity:

sin²(θ) + cos²(θ) = 1

Then

sin(θ) = -√(1 - cos²(θ)) = -4/5

and so

tan(θ) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(θ) = 1/cos(θ) = 5/3

csc(θ) = 1/sin(θ) = -5/4

cot(θ) = 1/tan(θ) = -3/4

4 0

2 years ago

Which statement is true regarding the graphed functions?

EastWind [94]

Answer:

f(0) = g(0)

Step-by-step explanation:

if a function h(x) passes through [a,b] then it can be said that h(a)=b.

given that, g(x) passes through (-2,0) and (0,4)

so, g(-2)=0, g(0)=4.

f(x) passes through (0,4) and (2,0)

so, f(2)=0, f(0)=4.

therefore, f(0)=g(0)=4.

so, first option is correct.

3 0

2 years ago

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There are 1920 fence post used in a 12 kilometer stretch of fence how many fence post are used in 1 kilometer of fence

Nonamiya [84]

160 posts are used per 1 km

3 0

3 years ago