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eduard
3 years ago
14

An oil prospector will drill a succession of holes in a given area until he finds productive wells. The probability that he is s

uccessful on a given trial is 0.3. The prospector can only afford to drill 6 wells.
What is the probability the inspector fails to Önd r productive wells?
Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

Answer:

0.117649

Step-by-step explanation:

The probability that the prospectors will not find a productive oil.

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 6 oil wells available to be dug

x = Number of successes required = 0

p = probability of success = 0.3

q = probability of failure = 1 - p = 0.7

P(X = 0) = ⁶C₀ 0.3⁰ 0.7⁶⁻⁰ = (1)(1)(0.7⁶) = 0.117649

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One side is 8 cm
musickatia [10]

Answer:

The mass of the cubic granite block  is 1408 g .

Step-by-step explanation:

Formula

Volume of a cube = a³

Where a is the side of the cube .

Density = \frac{Mass}{Volume}

As given

one side of the cube is 8 cm .

(The figure is shown below.)

Thus

Put in the formula

Volume of a cubic granite block  =  8 × 8 × 8

                                                       = 512 cm³

As given

The density of cube is 2.75 g/cm³.

Put in the formula

2.75 = \frac{Mass}{512}

Mass = 2.75 × 512

Mass = 1408 g

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8 0
3 years ago
X/5=-7 solve for x <br> Worth 10 points
Yuri [45]

Answer:

x = -35

Step-by-step explanation:

multiply both sides by 5

5x/5 = 5(-7)

simplify

x = -35

6 0
3 years ago
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given the f(x)=x2 write the equation function g(x) whose graph is a translation 5 units left and 3 units down
Leno4ka [110]

When a function is translated, it means the function is moved away from its original position.

<em>The function g(x) is: </em>g(x) = (x  + 5)^2 - 3<em />

Give that:

f(x) = x^2

The rule of translation 5 units left is:

(x,y) \to (x + 5, y)

So, we have:

f'(x) = (x + 5)^2

The rule of translation 3 units down is:

(x,y) \to (x, y-5)

So, we have:

g(x) = (x  + 5)^2 - 3

Hence, the function g(x) is: g(x) = (x  + 5)^2 - 3

Read more about translations at:

brainly.com/question/12463306

7 0
3 years ago
Use equivalent fractions to write an expression equivalent to 2/15 + 3/5
saveliy_v [14]

Answer:

2/15+3/15. = (5×2)+(15×3)/15×5 = 10+45/75=55/75 ÷5=11/15

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2 years ago
Evaluate f(x)=3x+8 for x = 1
klio [65]
F(x) = 3x + 8
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f (1) = 3 + 8
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3 years ago
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