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3 years ago

Please, I really need help with this! What is the volume of this cone?

Mathematics

1 answer:

vova2212 [387]3 years ago

7 0

By definition, the volume of a cone is given by:
$V = \frac{1}{3} * (\pi) * (r ^ 2) * (h)
$
Where,
r: radius of the circular base
h: height of the cone
Substituting values we have:
$V = \frac{1}{3} * (3.14) * (11 ^ 2) * (16)

V = 2026.346667$
Rounding to the nearest hundredth we have:
$V = 2026.35 m ^ 3
$
Answer:
the volume of this cone is:
$V = 2026.35 m ^ 3$

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Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass funct

Basile [38]

This question is incomplete, the complete question is;

Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass function for X is:

x 0 0.5 1 1.5 2 2.5

f(x) 0.1 0.2 0.3 0.2 0.1 0.1

determine;

a) P( X < 2.5 )

B) P( 0.75 < X ≤ 1.5 )

Answer:

a) P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 ) = 0.5

Step-by-step explanation:

Given the data in the question;

The probability mass function for X is:

x 0 0.5 1 1.5 2 2.5

f(x) 0.1 0.2 0.3 0.2 0.1 0.1

a) P( X < 2.5 )

P( X < 2.5 ) = p[ x = 0 ] + p[ x = 0.5 ] + p[ x = 1 ] + p[ x = 1.5 ] + p[ x = 2 ]

P( X < 2.5 ) = 0.1 + 0.2 + 0.3 + 0.2 + 0.1

P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 )

P( 0.75 < X ≤ 1.5 ) = p[ x = 1 ] + p[ x = 1.5 ]

P( 0.75 < X ≤ 1.5 ) = 0.3 + 0.2

P( 0.75 < X ≤ 1.5 ) = 0.5

3 0

2 years ago

What is x in .80x+30=1.20x+14

Sonja [21]

Answer:

x = 40

Step-by-step explanation:

.80x + 30 = 1.20x + 14

30 = .4x + 14

16 = .4x

16/.4 = .4/.4x

40 = x

3 0

2 years ago

Find the sum of the first four terms of the geometric sequence shown below. 4, 4/ 3, 4/9, ...

user100 [1]

It's evident that the first four terms are 4, 4/3, 4/9, and 4/27. So the fourth partial sum of the series is

$S_4=4+\dfrac43+\dfrac49+\dfrac4{27}$

It's as easy as adding up the fractions, but I bet this is supposed to be an exercise in taking advantage of the fact that the series is geometric and use the well-known formula for computing such a sum.

Multiply the sum by 1/3 and you have

$\dfrac13S_4=\dfrac43+\dfrac49+\dfrac4{27}+\dfrac4{81}$

Now subtracting this from $S_4$ gives

$S_4-\dfrac13S_4=4-\dfrac4{81}$

That is, all the matching terms will cancel. Now solving for $S_4$ , you
have

$\dfrac23S_4=4\left(1-\dfrac1{81}\right)$
$S_4=6\left(1-\dfrac1{81}\right)$
$S_4=\dfrac{480}{81}=\dfrac{160}{27}$