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3 years ago

Use 3.14 on all questions on this text that use pi.

Mathematics

1 answer:

alexira [117]3 years ago

6 0

Answer:

$V_{cylinder}=3584\pi \thinspace yd^3$

Step-by-step explanation:

Volume of a cylinder is just the area of the circle-surface multiplied by the height of the cylinder.

$V_{cylinder}=\pi r^2 h$

We're given that the radius=8 and height=56

$V_{cylinder}=\pi r^2 h$

$V_{cylinder}=\pi (8)^2 (56)$

$V_{cylinder}=3584\pi \thinspace yd^3$

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timurjin [86]

Answer:

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3 years ago

-4x+3x=2 how do I solve for x?

Snezhnost [94]

Answer: Combine like terms!

Step-by-step explanation:

-4x + 3x = 2

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3 years ago

Final exam scores are normally distributed with a mean of 74 and a standard deviation of 6. Approximately, what percentage of fi

notka56 [123]

Answer:

81.86%

Step-by-step explanation:

We have been given that final exam scores are normally distributed with a mean of 74 and a standard deviation of 6.

First of all we will find z-score using z-score formula.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{68-74}{6}$

$z=\frac{-6}{6}=-1$

Now let us find z-score for 86.

$z=\frac{86-74}{6}$

$z=\frac{12}{6}=2$

Now we will find P(-1<Z) which is probability that a random score would be greater than 68. We will find P(2>Z) which is probability that a random score would be less than 86.

Using normal distribution table we will get,

$P(-1$

$P(2>Z)=.97725$

We will use formula $P(a$ to find the probability to find that a normal variable lies between two values.

Upon substituting our given values in above formula we will get,

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Upon converting 0.81859 to percentage we will get

$0.81859*100=81.859\approx 81.86$

Therefore, 81.86% of final exam score will be between 68 and 86.

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3 years ago

Steven conjectures that for |x|>5, it is true that x^3>125. Is his conjecture correct? Why or why not?

vredina [299]

Conjectures are conclusions formed from evidences. Steven's conjecture that: $x^3 > 125$ is true because: $x > 5$ or $x > -5$ for $|x| > 5$

Given that:

$|x| > 5$

Split the inequality as follows:

$x > 5$ or $x > -5$

Take the cube of both sides

$x^3 > 5^3$ or $x^3 > -5^3$

Evaluate all exponents

$x^3 > 125$ or $x^3 > -125$

Steven's conjecture that: $x^3 > 125$ is true because:

$x > 5$ or $x > -5$ for $|x| > 5$

Read more about absolute inequalities at:

brainly.com/question/4688732

5 0

3 years ago

The electric potential in a circuit is given by

shtirl [24]

We are given with the equationL
V(t) = 320 e^(-3.1t)
At V = 200
200 = 320 e^(-3.1t)
t = 0.15 s

100 = 320 e^(-3.1t)
t = 0.36 s

It takes 0.36 - 0.15 = 0.21 s for the voltage to drop from 200 to 100 volts.

3 0

3 years ago

Read 2 more answers