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3 years ago

Bryan purchases a new boat. The expression below represents the value of the boat after x years. 22000(0.88)^(X+2)

Mathematics

1 answer:

bogdanovich [222]3 years ago

8 0

<h3>Answer:</h3>

<em>None of the above</em>. All the answers refer to <em>price</em>. The given equation refers to <em>value</em>. We imagine price may stay the same or actually increase year-to-year. The problem statement gives insufficient information to conclude anything about <em>price</em>.

Math is about attention to detail. The equation tells you ...

... The <em>value</em> of the boat decreases by 12% every year.

<h3>Step-by-step explanation:</h3>

The value of the boat is multiplied by 0.88 each time X increases by 1. That means the value is 88% of what it was the year before, <em>a decrease of 12%</em>.

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Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand

victus00 [196]

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ $P(A)=\frac{30}{100}=0.3$

Preference of Brand B =70% ⇒ $P(B)=\frac{70}{100}=0.7$

Prefer Brand A and are Female = 20% ⇒ $P(A/F)=\frac{20}{100}=0.2$

Prefer Brand B and are Female = 40% ⇒ $P(B/F)=\frac{40}{100}=0.4$

To find : Selected consumer is female, given that the person prefers Brand A $P(F/A)$

Solution : Using Bayes' theorem, which state that

$P(A/B)=\frac{P(B/A)P(A)}{P(B)}$

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

$P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}$

$P(F/A)=\frac{(0.2)(0.3)}{(0.7)(0.4)+(0.3)(0.2)}$

$P(F/A)=\frac{0.6}{0.28+0.6}$

$P(F/A)=\frac{0.6}{0.88}$

$P(F/A)=0.68$

Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

3 0

3 years ago

Read 2 more answers

A right triangle and some of his measurements are shown in the diagram based on the measurements shown in the diagram what is T

True [87]

I don’t really know this exact method

3 0

2 years ago

How do I show the workings out for subtraction 1.56 - 5.20 =

pogonyaev

The Soluton:

Given:

$1.56-5.20$

We are asked to evaluate the given expression.

Explanation:

Since the number you are taking away is greater than thenumber that you want to taake it away from, we have to swap the numbers and then the result will be a negative number.

Therefore, the correct answer is -3.64