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denis-greek [22]

3 years ago

10

It takes you 0.8 of a minute to read each page of your health book.It takes you 5.5 minutes to take the test at the end.How long

will it take you to read 6.25 pages and also take the test.

1 answer:

Nina [5.8K]3 years ago

6 0

So you divide 0.8 by 6.25 and your answer is 7.8125 and then you add 5.5 minutes of your other number and you get the answer of 13.3125

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It costs $35 for a membership at a wholesale store. The monthly fee is $15 .Write an equation that represents the total costs (

Anika [276]

Answer:

$y= 35+15x$

Step-by-step explanation:

Given data

It costs $35 for a membership

Monthly fee is $15

Let the number of months be x

and the total cost for x months be y

Hence the expression for the cost after x months is given as:

$y= 35+15x$

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3 years ago

José sets up computers. He has been working

lakkis [162]

Correct answer should be= 1.5 hours.

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3 years ago

A survey of magazine subscribers showed that 45.2% rented a car during the past 12 months for business reasons, 56% rented a car

IgorLugansk [536]

Answer:

a. 0.692 or 69.2%; b. 0.308 or 30.8%.

Step-by-step explanation:

This is the case of <em>the probability of the sum of two events</em>, which is defined by the formula:

$\\ P(A \cup B) = P(A) + P(B) - P(A \cap B)$ (1)

Where $\\ P(A \cup B)$ represents the probability of the union of both events, that is, the probability of event A <em>plus</em> the probability of event B.

On the other hand, $\\ P(A \cap B)$ represents the probability that both events happen at once or the probability of event A times the probability of event B (if both events are independent).

<em>Notice the negative symbol for the last probability</em>. The reason behind it is that we have to subtract those common results from event A and event B to avoid count them twice when calculating $\\ P(A \cup B)$ .

We have to remember that a <em>sample space</em> (sometimes denoted as <em>S</em>)<em> </em>is the set of the all possible results for a random experiment.

<h3>Calculation of the probabilities</h3>

From the question, we have two events:

Event A: <em>event</em> <em>subscribers rented a car</em> during the past 12 months for <em>business reasons</em>.

Event B: <em>event subscribers rented a car</em> during the past 12 months for <em>personal reasons</em>.

$\\ P(A) = 45.2\%\;or\;0.452$

$\\ P(B) = 56\%\;or\;0.56$

$\\ P(A \cap B) = 32\%\;or\;0.32$

With all this information, we can proceed as follows in the next lines.

The probability that a subscriber rented a car during the past 12 months for business <em>or</em> personal reasons.

We have to use here the formula (1) because of the sum of two probabilities, one for event A and the other for event B.

Then

$\\ P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$\\ P(A \cup B) = 0.452 + 0.56 - 0.32$

$\\ P(A \cup B) = 0.692\;or\;69.2\%$

Thus, <em>the</em> <em>probability that a subscriber rented a car during the past 12 months for business or personal reasons</em> is 0.692 or 69.2%.

The probability that a subscriber <em>did not </em>rent a car during the past 12 months for either business <em>or</em> personal reasons.

As we can notice, this is the probability for <em>the complement event that a subscriber did not rent a car during the past 12 months</em>, that is, the probability of the events that remain in the <em>sample space. </em>In this way, the sum of the probability for the event that a subscriber <em>rented a car</em> <em>plus</em> the event that a subscriber <em>did not rent</em> a car equals 1, or mathematically:

$\\ P(\overline{A \cup B}) + P(A \cup B)= 1$

$\\ P(\overline{A \cup B}) = 1 - P(A \cup B)$

$\\ P(\overline{A \cup B}) = 1 - 0.692$

$\\ P(\overline{A \cup B}) = 0.308\;or\;30.8\%$

As a result, the requested probability for <em>a subscriber that did not rent a car during the past 12 months for either business or personal reasons is </em>0.308 or 30.8%.

We can also find the same result if we determine the complement for each probability in formula (1), or:

$\\ P(\overline{A}) = 1 - P(A) = 1 - 0.452 = 0.548$

$\\ P(\overline{B}) = 1 - P(B) = 1 - 0.56 = 0.44$

$\\ P(\overline{A \cup B}) = 1 - P(A \cup B) = 1 - 0.32 = 0.68$

Then

$\\ P(\overline{A \cup B}) = P(\overline{A}) + P(\overline{B}) - P(\overline{A\cap B})$

$\\ P(\overline{A \cup B}) = 0.548 + 0.44 - 0.68$

$\\ P(\overline{A \cup B}) = 0.308$

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Answer:

10 units

Step-by-step explanation:

$4 \times 2.5 = 10$

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The value 3600 represents the amount of time consisting in t years.
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