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Vladimir79 [104]
3 years ago
7

At an antique boat show, 90% of the boats are made of a natural, polished wood. 75% of the boats have some chrome accents on the

boat on at least one visible feature. And 70% have both features.
A) What is the probability that if a boat has chrome accents it is also made of natural wood?
B) Are having chrome accents and being made of wood independent characteristics? Explain using probabilities
Mathematics
1 answer:
nadya68 [22]3 years ago
3 0

Answer:

0.933 ; not independent

Step-by-step explanation:

Given :

A - made from natural polished wood

B - made from chrome accent

P(A) = 0.9

P(B) = 0.75

P(AnB) = 0.7

1.) probability of natural wood Giveb that it has chrome accent

P(A|B) = P(AnB) / P(B)

P(A|B) = 0.7 / 0.75

P(A|B) = 0.933

2.)

For an independent event :

P(AnB) = p(A) * p(B)

P(AnB) = 0.9 * 0.75 = 0.675

However, p(AnB) Given here is 0.7, thus the event aren't independent

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Consider the following equations and name the property of equality used to solve for the variable.
Anestetic [448]

Answer:

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Step-by-step explanation:

A.)

x + 3.75 = 7

Using the subtraction property : subtract 3.75 from both sides

x + 3.75 - 3.75 = 7 - 3.75

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B. )

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3 years ago
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Answer:

Step-by-step explanation:

A. The first inequality is graphed as a shaded area below the solid line with x-and y-intercepts of 7.5 and 5, respectively. The second inequality is graphed as a shaded area above the solid line with x- and y-intercepts of 3.

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B. The point (5, 1) is included in the solution area. Mathematically, it can be shown to satisfy the two inequalities:

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The sum of two numbers is 95. If the larger is increased by twice the smaller, the result is 120. Find the numbers.
adelina 88 [10]
Hello!

You can make two expressions based on what you know

let x equal the larger number
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We can use elimination to get rid of x

You can subtract the two equation to get rid of x

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Now we can put this into one of the other equations to find x

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subtract 95 from both sides

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The answers are 70 and 25

Hope this helps!
3 0
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