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Nitella [24]
3 years ago
12

A publication released the results of a study of the evolution of a certain mineral in the​ Earth's crust. Researchers estimate

that the trace amount of this mineral x in reservoirs follows a uniform distribution ranging between 55 and 1010 parts per million
a. Find E(x) and interpret its value
b. Compute P(2.875 x35)
c. Computn Plx<4.125)
Mathematics
1 answer:
san4es73 [151]3 years ago
3 0

Answer:

a) E(A)=\frac{1+6}{2}=3.5 ppm

b) P(2.875

c) P(X

Step-by-step explanation:

If we work with the limits defined from 5 to 10 then part b and c from this question not makes sense. If we work with the limits 1 and 6 all the parts for the question makes sense because if we work with 5 and 10 the only thing that we can find is the expected value E(A) = \frac{5+10}{2}= 7.5

Assuming the following correct question : "A publication released the results of a study of the evolution of a certain mineral in the​ Earth's crust. Researchers estimate that the trace amount of this mineral x in reservoirs follows a uniform distribution ranging between 1 and 6 parts per million"

Solution to the problem

Let A the random variable that represent " amount of the mineral x ". And we know that the distribution of A is given by:

A\sim Uniform(1 ,6)

Part a

For this uniform distribution the expected value is given by E(X) =\frac{a+b}{2} where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

E(A)=\frac{1+6}{2}=3.5 ppm

Part b

For this case we can use the cumulative distribution function for the uniform distribution given by:

F(X=x)= \frac{x-a}{b-a} = \frac{x}{6-1} =\frac{x-1}{5} , 1 \leq X \leq 6

And we want this probability:P(2.875Part c

For this case we want this probability:

P(X

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sleet_krkn [62]
100% - 7% - 30% = 63% of people are on the sand
5 0
3 years ago
Read 2 more answers
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Firlakuza [10]

Answer: C) Today's soup will taste the same

====================================================

Explanation:

The usual recipe has 9 tomatoes for every 12 bowls. This forms the ratio 9:12.

Divide both parts of the ratio by 12 to end up with 0.75:1

  • 9/12 = 0.75
  • 12/12 = 1

The ratio 0.75:1 means that there are 0.75 tomatoes for each bowl.

--------------

Then the restaurant updates the recipe to involve 6 tomatoes for every 8 bowls, leading to the ratio 6:8. Divide both parts by 8

  • 6/8 = 0.75
  • 8/8 = 1

The ratio 6:8 is the same as 0.75:1

---------------

We get the same ratio (0.75:1) each time we turn that second number into a 1, which means that each bowl involves the same number of tomatoes. Therefore, the taste should be the same.

Of course the concept of taste is subjective, meaning that the taste could easily vary over time even if you involved the same number of tomatoes. Also, the taste may vary from person to person. However, there should be an objective way to measure the "tomato"ness of each bowl.

4 0
2 years ago
E. Solve the Inequality
olganol [36]

        - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}

              Solve the Inequality.

\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}

              x<-4

\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}

                      First, add 6x on both sides:

-2x+3+6x<-13

Add the x's:

4x+3<-13

Now, subtract 3 on both sides:

4x<-13-3

4x<-16

Divide by 4 on both sides:

x<-4

So the values of x that are less than -4 will make the given inequality true.

<h3>Good luck.</h3>

            - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3 />

7 0
2 years ago
Which of these strategies would eliminate a variable in the system of equations ?
Mrrafil [7]

Answer:

B

Step-by-step explanation:

I believe the answer is B because if we multiply the top equation by 6, we get 48x + 30y = -42, and if we multiply the bottom equation by -5, we get

35x - 30y = 20. So now, if we add it all together, then the positive 30y and negative 30y cancel out aka it equals 0, and thus the variable y is gone, satisfying the requirement that the problem asks for ("Which of these strategies would eliminate a variable...").

I hope this helped, and if it's correct, I'd appreciate if you marked my answer as Brainliest :)

7 0
3 years ago
I need help with this thank you
kari74 [83]

1= 5/4

2= -103/40

1st explanation

-12/15 + 4/5 + 7/12

-8 + 48 + 35/60

75/60

5/4

2nd explanation

-1 3/5 + 5 1/8 - 6 1/10

-8/5 + 41/8 + 61/10

- 64 + 205 + 244 / 40

-103/140

-103 / 40

8 0
3 years ago
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