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Iteru [2.4K]
3 years ago
15

Suppose a normal distribution has a mean of 50 and a standard deviation of

Mathematics
1 answer:
deff fn [24]3 years ago
5 0
The answer is c so easy
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NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t
Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

h(t)=-4.9t^2+121t+283

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

h(t)=0\implies-4.9t^2+121t+283=0

Using the quadratic formula, the solution for our problem is

\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have

h^{\prime}(t)=-9.8t+121

The root is

-9.8t+121=0\implies t=\frac{121}{9.8}=12.347

Then, the maximum height is

h(12.347)=1029.99

1029.99 meters above sea level.

6 0
2 years ago
. A biologist estimated that there were 5500 fish in a lake in which 250 fish had been tagged
lana66690 [7]

Answer:

250 tagged 5500 total = 15 tagged x total x=330 fish were sampled.

Step-by-step explanation:

A biologist estimated that there were 5500 fish in a lake in which 250 fish had been tagged. A ranger collected a sample in which there were 15 tagged fish. Approximately how many fish were in the sample the ranger collected?

7 0
4 years ago
What is 1 1/2 of 5 1/4 pounds
Umnica [9.8K]

Answer:

8 (:

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
I need answers plzz
swat32

Answer:

Honestly this is a bit easy but

Step-by-step explanation:

just look at the graph and see what letter matches with the other one. The answers are R and C, B and Q(i think, its blurry),  D and S, F and E, A and P(its blurry so it might be wrong)PLEASE VOTE 5 STARS AND PRESS THANKS

7 0
3 years ago
What is the solution to<br> 7x-2=2(3x+4)-7
sergeinik [125]

Answer:

7x - 2 = 2(3x + 4) - 7

7x - 2 = 6x + 8 - 7

7x - 2 = 6x + 1

x - 2 = 1

x = 3

4 0
4 years ago
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