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2 years ago

The volume of a cylindrical container is 226 cubic centimeters. The height of the container is 8 centimeters. Find the

Mathematics

1 answer:

luda_lava [24]2 years ago

7 0

Answer: 3cm

Step-by-step explanation:

The volume of a cylinder is calculated by using the formula:

Volume = πr²h

where,

π = 3.14

r = unknown

h = height = 8cm

Volume = πr²h

3.14 × r² × 8 = 226

25.12r² = 226

Divide both side by 25.12

r² = 226/25.12

r² = 8.9968

r² = 9 approximately

r = ✓9

r = 3

The radius is 3cm

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2 years ago

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2 years ago

Let f(x)=cos(arctanx). What is the range of f?

Alenkasestr [34]

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2 years ago

When Samuel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a

k0ka [10]

Answer:

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

And we can find the nnumber of deviations from the mean for each limit given:

$z_1 = \frac{17-32}{5} = -3$

$z_2= \frac{47-32}{5} = 3$

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

Step-by-step explanation:

Let X the random variable that represent the amount of time it takes him to arrive, and for this case we know the distribution for X is given by:

$X \sim N(32,5)$

Where $\mu=32$ and $\sigma=5$

We want to find this probability:

$P(17$

And we can use the z score formula given by:

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

And we can find the nnumber of deviations from the mean for each limit given:

$z_1 = \frac{17-32}{5} = -3$

$z_2= \frac{47-32}{5} = 3$

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

8 0

2 years ago

The equation of line AB is y= 5x+1 . Write an equation of a line parallel to line AB in slope intercept form that contains point

Nadusha1986 [10]

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y=5x+b, using the point (4,5) we can solve for the y-intercept, or "b"

5=5(4)+b

5=20+b

b=-15 so the line is:

y=5x-15

5 0

3 years ago