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Liula [17]
3 years ago
6

It took a skydiver 15 seconds to drop 450 feet. What is the

Mathematics
2 answers:
Alex73 [517]3 years ago
6 0

Answer:

The rate (in feet per/second) of the skydiver's drop is 30 feet/second

Step-by-step explanation:

To solve this problem let us itemized our given data

Given data

Distance of drop or height s =450 ft

Time taken to drop t = 15 sec

The rate of drop also speed/velocity v=?

We know that the

velocity v= distance travel/time

Substituting our data we have

v= 450/15=

v = 30 feet/second

Citrus2011 [14]3 years ago
5 0

Answer:

30feet/second

Step-by-step explanation:

The rate in feet per seconds of the diver will be the speed of the diver.

Speed is the rate of change in distance of a body.

Speed = Distance/Time

Given distance or height of drop = 450feet

Time = 15seconds

Rate of change in distance = 450/15

Rate of change in distance = 30feet/second

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At the circus, a clown is shot from a cannon. This situation can be modeled by the function: h = – 16t2 + 45t + 15, where 'h' is
weeeeeb [17]

Answer:

The maximum height is 46.64 feet.

Step-by-step explanation:

If we take the derivative of h whit respect to t and equal this to zero we would find the value of t which corresponds to the maximum h.

So, we have the function h(t):

h(t)=-16t^{2} + 45t + 15

Taking the derivative, we have:

\frac{dh(t)}{dt}=-32t + 45=0

Now, we solve it for t:

t=\frac{45}{32}=1.4\: s

Finally, we put this value of t into the original equation.

h(t)=-16(1.4)^{2} + 45(1.4) + 15

h_{max}=46.64\: ft      

Therefore, the maximum height is 46.64 feet. All the given options are wrong, the one that comes closest is option A.

I hope it helps you!          

4 0
3 years ago
A library subscribes to two different weekly news magazines, each of which is supposed to arrive in Wednesday's mail. In actuali
Dominik [7]

Answer:

y                 0             1              2          3

P(Y=y)   0.0676   0.3549   0.3875   0.19

Step-by-step explanation:

P(Wed) = 0.26

P(Thurs) = 0.39

P(Fri) = 0.25

P(Sat) = 0.10

Y = No. of days beyond Wednesday it takes for both magazines to arrive i.e. 0,1,2,3

Y=0 means the magazines will arrive on Wednesday

Y=1 means the magazines will arrive till Thursday

Y=2 means the magazines will arrive till Friday

Y=3 means the magazines will arrive till Saturday

The possible combinations for Y are

Y(W,W) Y(W,T) Y(W,F) Y(W,S)

Y(T,W) Y(T,T) Y(T,F) Y(T,S)

Y(F,W) Y(F,T) Y(F,F) Y(F,S)

Y(S,W) Y(S,T) Y(S,F) Y(S,S)

So, we can classify these possible outcomes as Y=0,1,2,3.

Y(0) = Y(W,W) (both magazines take 0 days to arrive beyond Wednesday)

Y(1) = Y(W,T), Y(T,T), Y(T,W) (both magazines take 1 day to arrive beyond Wednesday)

Y(2) = Y(W,F), Y(T,F), Y(F,F) Y(F,W) Y(F,T) (both magazines arrive till Friday)

Y(3) = Y(W,S), Y(T,S), Y(F,S), Y(S,W), Y(S,T), Y(S,F), Y(S,S) (both magazines arrive till Saturday)

To calculate the PMF, we need to calculate the probability for each of the points in Y(0,1,2,3).

Y(0) = Y(W,W)

       = 0.26 x 0.26

Y(0) = 0.0676

Y(1) = Y(W,T) + Y(T,T) + Y(T,W)

      = (0.26 x 0.39) + (0.39 x 0.39) + (0.39 x 0.26)

      = 0.1014 + 0.1521 + 0.1014

Y(1) = 0.3549

Y(2) = Y(W,F) + Y(T,F) + Y(F,F) + Y(F,W) + Y(F,T)

  =(0.26 x 0.25) + (0.39 x 0.25) + (0.25 x 0.25) + (0.25 x 0.26) + (0.25 x 0.39)

  = 0.065 + 0.0975 + 0.0625 + 0.065 + 0.0975

Y(2) = 0.3875

Y(3) = Y(W,S) + Y(T,S) + Y(F,S) + Y(S,W) + Y(S,T) + Y(S,F) + Y(S,S)

      = (0.26 x 0.10) + (0.39 x 0.10) + (0.25 x 0.10) + (0.10 x 0.26) + (0.10 x 0.39) + (0.10 x 0.25) + (0.10 x 0.10)

       = 0.026 + 0.039 + 0.025 + 0.026 + 0.039 + 0.025 + 0.010

Y(3) = 0.19

y                 0             1              2          3

P(Y=y)   0.0676   0.3549   0.3875   0.19

The PMF plot is attached as a photo here.

7 0
3 years ago
A sports shop has 30 employees. 70% of the employees work part-time. How many part-time employees does the sports shop have?
noname [10]

Answer:

21

Step-by-step explanation:

all you have to do is get 70% of 30

70% of 30 is 21

4 0
2 years ago
Read 2 more answers
Why are me and mrs numbers so happy
mestny [16]
Because life is great
8 0
3 years ago
Find the sum of 10 minus the sum of 2 and 3
g100num [7]

Answer:

5

Step-by-step explanation:

10-(2+3) = 5

4 0
3 years ago
Read 2 more answers
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