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Marat540 [252]
3 years ago
10

An oil exploration firm is formed with enough capital to finance ten explorations. The probabil- ity of a particular exploration

being successful is .1. Assume the explorations are independent. Find the mean and variance of the number of successful explorations.
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
6 0

Answer:

μ = 1 The firm expects that one oil exploration will be successful.

v(x)= 0.9

Step-by-step explanation:

The first step is to define the random variable x as:

x: number of oil explorations being succesful

Then x can be take this values:

x = 0 , x =1 ... x =10

x is a binomially distributed random variable with parameters.

p = 0.1 and  n=10

And the mean or the expected value of x is:

μ = E(x) = np

Then μ = 10*0.1 = 1

And the variance of x is:

V(x) = np(1-p)

V(x) = 10(0.1)(1-0.1)= 0.9

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Geometry please help
alisha [4.7K]

Answer:

x = 4

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below

P.s: I used the Law of Sines, but there are many other ways to solve it

5 0
3 years ago
Function 1: y = 4x + 5
evablogger [386]
Answer: function 1

Rate of change of function 1:
Following the format of y=mx+c, the rate of change should be m, so, the rate of change for function 1 = 4

To find the gradient (rate of change):
The two points the line passes through are (x1, y1) and (x2, y2), which in this case is (1, 6) and (3, 10)
(Doesn't matter which is which but you need to make sure that once you decide which is which, you stick to it)
To calculate the gradient, you substitute these values following (y1 - y2)/(x1 - x2)

Gradient of function 2 = (10 - 6)/(3 - 1)
= 2

Therefore, since 4 > 2, rate of change of function 1 > rate of change of function 2.
6 0
3 years ago
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kolezko [41]

Answer:

1. 5 + r/14

2. 3x -4 = 23

8 0
3 years ago
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Solve for x x+14=5x-74​
vitfil [10]

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A triangle has sides represented by 7, x, and x−1. If the perimeter is 28, find the length of the longest side.
aleksley [76]

Answer:

x (11 unit) is the longest side

Step-by-step explanation:

Given:

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Perimeter = sum of all sides

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x -1 = 11 - 1 = 10 unit

x (11 unit) is the longest side

3 0
3 years ago
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