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vivado [14]
3 years ago
11

On any day, the probability of rain is 0.3. The occurrence of rain on any day is independent of the occurrence of rain on any ot

her day. Calculate the probability that, starting with tomorrow, the second day ofrain will occur within 5 days
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

0.47178 = 47.178%

Step-by-step explanation:

Put simply, this question is asking the probability of having rain atleast twice in the next 5 days. The easiest way that comes to mind is reverse count - find the probability of it not happening. There are two cases for this:

Raining only once:

This has a .7^4 * 0.3 * 5 chance

Raining no times:

This has a .7^5 chance

Adding these together you get 0.52822

This is the inverse probability, so to find the actual probability, subtract it from 1.

P = 0.47178

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2 years ago
A line that includes the point (4,1) has a slope of 1 7 . What is its equation in point-slope form?
Sergeeva-Olga [200]

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y = 17x-67

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Determine which of the following situations requires the distributive property in order to simplify the expression. Select all s
ipn [44]

Answers

9(x + y)

(7 - a)(b)

 

The Distributive Property is used in algebraic expressions to multiply a single term and two or more terms which are inside a set of parentheses.

 

In the case of x(2y), there is only one term inside the parenthesis

In the case of 9(x ∙ y), the distributive property is not used because (x ∙ y) = xy which means only one term will be multiplied by the term outside the parenthesis (9)

 

In the case of 9(x + y), the distributive property is used because the two terms in the parenthesis (x and y) will be multiplied by the term outside the parenthesis (9)

9(x + y) = 9*x + 9*y (by applying the distributive property)

 

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In the case of (7 - a)(b), the distributive property is used because the two terms in the parenthesis (7 and -a) will be multiplied by the term outside the parenthesis (b)

(7 - a)(b) = 7*b - a*b (by applying the distributive property)

 

In the case of (2 ∙ x) ∙ y, the distributive property is not used because (2 ∙ x) = 2x which means only one term will be multiplied by the term outside the parenthesis (y)

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