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astraxan [27]
3 years ago
11

What is the volume of the sphere below?

Mathematics
2 answers:
Julli [10]3 years ago
7 0

Answer:

256/3 pi units^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3  where r is the radius

V = 4/3 pi (4)^3

V = 256/3 pi units^3

Dvinal [7]3 years ago
3 0

Answer:

D is th answer 256/3 π units^3

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A child attempts to open a five-disc
adelina 88 [10]

Answer:

. In conclusion, people have to become aware of the dangerous impact fossil fuels have on a long term, and how important it is to shift slowiy to renewable energy resources. However, since the use of renewable energy is a rather new development, it carries the weight of critics and careful long term observation. COuntries have to show commitment to renewable energy and have to evaluate which energy resources are cost-effective and the best with regards to their circumstances The only hindrance of using more renewable energy resources in future could be the finances to install these technologles.

5 0
3 years ago
Read 2 more answers
Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court
Ksju [112]

Answer:

(a)\dfrac{92}{117}

(b)\dfrac{8}{39}

(c)\dfrac{25}{117}

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed)=P(MW)+P(WM)

=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.
  • Two women are appointed

P(at least one woman is appointed)=P(MW)+P(WM)+P(WW)

P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}

In Part B, P(MW)+P(WM)=\frac{8}{39}

Therefore:

P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}

5 0
3 years ago
Tim has m dollars . Rebecca has $6 dollars less than 1 over 10 times the number of dollars that Tim has which expression represe
grin007 [14]

y= 1/10x - 6

Which if you plug in 70 for x, y equals 1.

Rebecca has $1 and Tim has $70, together they have $71.

8 0
4 years ago
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geniusboy [140]
0.59 increase because it went up
5 0
2 years ago
Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays. She doesn’t have classes on Wednesdays or Th
iVinArrow [24]

Answer:

Her hourly rate is <u>$14</u>.

Step-by-step explanation:

Given:

Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays.

She works 8 hours each on Wednesdays or Thursdays.

Now, to find her hourly rate.

So, total hours Penelope work on Mondays, Tuesdays, and Fridays:

4.5+4.5+4.5=13.5\ hours.

And, total hours she work on Wednesdays and Thursdays:

8+8=16\ hours.

Now,<em><u> the total hours each week she work:</u></em>

13.5+16=29.5\ hours.

<u><em>Total money she makes each week</em></u> = $413.

Now, to get the hourly rate we divide the total hours each week she work by total money she makes each week:

413\div 29.5

=\$14.

Therefore, her hourly rate is $14.

6 0
3 years ago
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