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Inga [223]
4 years ago
11

A cone has a radius of five feet and a height of 18 feet. If the radius of the cone is tripled but the volume but the volume rem

ains unchanged, what will be the new height of the cone
Mathematics
1 answer:
olasank [31]4 years ago
4 0
Volume of a cone is 1/3 of the area of the base times the height
 v=(1/3)pi*5*5*18=(1/3)pi815*15*h
h=2

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NEED HELP ASAP PLEASEEE :( !!!
wlad13 [49]

Answer:

Step-by-step explanation:

6 0
3 years ago
Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG ind
Gemiola [76]

Answer:

(a)

S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

(b)

i.

1\ girl = \{GBB, BBG, BGB\}

P(1\ girl) = 0.375

ii.

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

P(Atleast\ 2 \ girls) = 0.5

iii.

No\ girl = \{BBB\}

P(No\ girl) = 0.125

Step-by-step explanation:

Given

Children = 3

B = Boys

G = Girls

Solving (a): List all possible elements using set-roster notation.

The possible elements are:

S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

And the number of elements are:

n(S) = 8

Solving (bi) Exactly 1 girl

From the list of possible elements, we have:

1\ girl = \{GBB, BBG, BGB\}

And the number of the list is;

n(1\ girl) = 3

The probability is calculated as;

P(1\ girl) = \frac{n(1\ girl)}{n(S)}

P(1\ girl) = \frac{3}{8}

P(1\ girl) = 0.375

Solving (bi) At least 2 are girls

From the list of possible elements, we have:

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

And the number of the list is;

n(Atleast\ 2 \ girls) = 4

The probability is calculated as;

P(Atleast\ 2 \ girls) = \frac{n(Atleast\ 2 \ girls)}{n(S)}

P(Atleast\ 2 \ girls) = \frac{4}{8}

P(Atleast\ 2 \ girls) = 0.5

Solving (biii) No girl

From the list of possible elements, we have:

No\ girl = \{BBB\}

And the number of the list is;

n(No\ girl) = 1

The probability is calculated as;

P(No\ girl) = \frac{n(No\ girl)}{n(S)}

P(No\ girl) = \frac{1}{8}

P(No\ girl) = 0.125

7 0
3 years ago
Multiply: (5x2y – 3xy2)(3xy2 + 5x2y)<br> Please help I need to get this one right!
Aliun [14]

Answer:

(1): "*-5x2y" was replaced by "*(-5x2y)".

(2): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 (3x • (y2)) • (0 -  (5x2 • y))

STEP

2

:

Equation at the end of step

2

:

 3xy2 •  -5x2y

STEP

3

:

Multiplying exponential expressions :

3.1    x1 multiplied by x2 = x(1 + 2) = x3

Multiplying exponential expressions :

3.2    y2 multiplied by y1 = y(2 + 1) = y3

I believe the answer is   ( -3•5x3y3)

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3 years ago
PLEASE HELP QUICK!!! 30 PTS
kotegsom [21]
He would earn <span>$40.95 in that amount of time


</span>
3 0
4 years ago
Please help asap!!! i’ll give lots of points
Harrizon [31]

Answer:

all you have to do is multiply it through and divide it out.

Step-by-step explanation:

8 0
3 years ago
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