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3 years ago

Identify the volume of the hemisphere in terms of π. HELP PLEASE!!

Mathematics

1 answer:

andrew11 [14]3 years ago

4 0

Answer:

V = 1152π in³

Step-by-step explanation:

The formula for the volume of a hemishere is

$\frac{ \frac{4}{3}\pi {r}^{3} }{2}$

Next we need to substitute the values from the question in.

$\frac{ \frac{4}{3}\pi {12}^{3} }{2}$

Then finally we need to simplify.

$\frac{2304\pi}{2} = 1152\pi$

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A group of 5 men are meeting for lunch.

Sladkaya [172]

Tile:

<h2>See the explanation.</h2>

Step-by-step explanation:

(a)

There were total 5 men wearing coats.

5 coats can be returned to 5 men in 5! = 120 ways.

The coats can be returned to the accurate persons only in 1 way.

Hence, the probability that each man gets the correct coat is $\frac{1}{120}$ .

(b)

At the time of returning the first coat, the hostess will have 5 choices and for the second she will have 4 choices.

Hence, in $5\times4 = 20$ ways the hostess can return the 2 coats.

There is only 1 possible case that each of the coats will return to the correct owner.

Hence, the required probability is $\frac{1}{20}$ .

6 0

2 years ago

The Empire State Building is just over 1,450 feet tall. In anticipation of visiting this landmark on your vacation, you create a

oee [108]

You have two given data available here: the actual height of the Empire State Building measuring 1,450 feet, and the height of the block measuring 2 feet. To find how many blocks stacked together would make up 1,450 feet, just divide 1,450 by 2.

Number of blocks=1,450 feet * (1 block/2 feet)
Number of blocks = 725 blocks

Therefore, you would use a model requiring 725 blocks. The scale factor for the model is 1 block per two feet.

3 0

3 years ago

Read 2 more answers

Why is the answer 2 in the subtractive equation 1+1?

Yuki888 [10]

Answer:

That's not a subtractive equation, the symbol that you used indicates that it is an addition equation. if the question was 1-1 then the answer wouldn't be 2 but since the question is 1+1 the answer is 2

Step-by-step explanation:

6 0

2 years ago

If the percentage of LDS missionaries that are female went up from 15% in 2009 to 24% in 2014, find the relative percentage incr

SSSSS [86.1K]

2014 - 2009 = 5 years
24% -15% = 9% percentage of SUG missionaries
who are women has risen in 5 years

9% : 5 years = 1.8% in a year is <span>the relative percentage increase</span>

4 0

2 years ago

The table displays the number of students in each grade at Richmond High School who will or will not be attending the amusement

Pani-rosa [81]

Answer:

$P( eleventh\: \: |\: \: FT)= 0.2453 \\\\P( eleventh\: \: |\: \: FT)= 24.53\% \\\\$

Step-by-step explanation:

We are given a joint probability table.

There are four different graders in a school

1. Grade Ninth

2. Grade Tenth

3. Grade Eleventh

4. Grade Twelfth

Field trip refers to the students who will attending the amusement park field trip.

No field trip refers to the students who will not be attending the amusement park field trip.

We want to find out the probability that the selected student is an eleventh grader given that the student is going on a field trip.

$P( eleventh\: \: |\: \: FT)= \frac{P( eleventh\: \: and \: \: FT)}{P(FT)}$

Where P(eleventh and FT) is the probability of students who are in eleventh grade and will be going to field trip

$P(eleventh\: and \: FT) = \frac{13}{92} \\\\P(eleventh \: and \: FT) = 0.1413$

Where P(FT) is the probability of students who will be going to field trip

$P(FT) = \frac{12}{92} + \frac{9}{92} + \frac{13}{92} + \frac{19}{92}\\\\P(FT) = 0.1304 + 0.0978 + 0.1413 + 0.2065\\\\P(FT) = 0.576 \\\\$

So the required probability is

$P( eleventh\: \: |\: \: FT)= \frac{P( eleventh\: \: and \: \: FT)}{P(FT)} \\\\P( eleventh\: \: |\: \: FT)= \frac{0.1413}{0.576} \\\\P( eleventh\: \: |\: \: FT)= 0.2453 \\\\P( eleventh\: \: |\: \: FT)= 24.53\% \\\\$

6 0

2 years ago