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Tamiku [17]
3 years ago
7

If a cylindrical tank with radius 5 meters is being filled with water at a rate of 3 cubic meters per minute, how fast is the he

ight of the water increasing?
Mathematics
1 answer:
RideAnS [48]3 years ago
7 0
Find the volume
V=hpir^2
v=hpi5^2
v=25hpi
v=78.5398h
for t=1, the amount of water is 3
3=78.5398h
divide both siddes by 78.5398
0.038197=h
this is for 1 minute
0.038197meters per minute or
3.8cm per minute
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In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find
andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 14 citizens

         r = number of success = exactly 5

        p = probability of success which in our question is % of the community

              favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ Binom(n=14, p=0.60)

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

        P(X = 5) = \binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}

                      = 2002 \times 0.60^{5} \times 0.40^{9}

                      = 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

4 0
3 years ago
Evaluate v(x)=12-2x-5 when x=-2,0, and 5 .<br><br> v(-2)= <br><br> v(0)= <br><br> v(5)=
Vaselesa [24]

Step-by-step explanation:

v(-2)= 12-2x(-2)-5

=12+4-5

=16-5

=11

v(0)= 12-2x0-5

= 12-0-5

=12-5

=7

v(5)= 12-2x5-5

= 12-10-5

=12-5

=7

<em><u>Hope </u></em><em><u>it </u></em><em><u>helps </u></em>

6 0
2 years ago
Charles has six times as many action figures as ben together the action figures total more than 75 how many does each have
seropon [69]

Answer:

We have been given that Charles has six times as many action figures as Ben

Let Ben has x action figures

So according to question Charles will have 6x.

together the action figures total more than 75

x+6x>75

7x>75

x>\frac{75}{7}

So Ben will have more than \frac{75}{7} action pictures.

And 6x>6\frac{75}{7}

6x>\frac{450}{7}

Charles will have more than \frac{450}{7}.

7 0
3 years ago
What is the difference between theoretical and probability and experimental probability
mars1129 [50]

Answer: Theoretical- In a perfect world everything is a 50/50 chance and experimental is real world and the probability is not 50/50.

Step-by-step explanation:

5 0
3 years ago
If the ratio of surface areas of 2 similar figures is 144/25 ; What is the ratio of their volumes?
kkurt [141]

Answer:

1728/ 125

Step-by-step explanation:

The ratio of corresponding lengths  of the figures = ratio of the square root of their areas.

So ratio of lengths =  12/5.

Now volume is 3 dimensional  so the ratio is the cube  of the lengths

= 12^3/5^3

= 1728/ 125.

7 0
3 years ago
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