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4 years ago

HELP PLEASE????? ??????? ??????

Mathematics

1 answer:

Damm [24]4 years ago

4 0

Answer:

A. y = -1/3x -2

Step-by-step explanation:

The given line is in the slope-intercept form with slope -1/3 and intercept +6. The desired parallel line will have the same slope (-1/3) and the intercept will change to -2. Its equation is thus ...

y = -1/3x -2

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Determine whether the triangle with vertices at the points below is scalene, isosceles, or equilateral:

Arisa [49]

Answer:

Step-by-step explanation:

This is a isosceles triangle, An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length.

A scalene triangle is a triangle in which all three sides have different lengths. Also the angles of a scalene triangle have different measures.

In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

6 0

4 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 the probability of the sum of two events, 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 plus 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).

Notice the negative symbol for the last probability. 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 sample space (sometimes denoted as S) 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: event subscribers rented a car during the past 12 months for business reasons.

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

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

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

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

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

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

As we can notice, this is the probability for the complement event that a subscriber did not rent a car during the past 12 months, that is, the probability of the events that remain in the sample space. In this way, the sum of the probability for the event that a subscriber rented a car plus the event that a subscriber did not rent 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 a subscriber that did not rent a car during the past 12 months for either business or personal reasons is 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

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

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

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

3 0

4 years ago

Please help me pls!!

Inessa05 [86]

Answer:

Step-by-step explanation:

Calculating the Perimeter of a Compound Shape made from Rectangles. A compound shape (or composite shape) is a more complex shape that is made up of two or more simple shapes. To find the perimeter, we simply add up the lengths of each outside edge.

HOPE IT HELPS

7 0

3 years ago

Write an inequality to express the relationship between -8 and -13

MAVERICK [17]

-8 > -13 unless you need it written in another way

3 0

3 years ago

A random sample of 420 new Ford trucks showed that 105 required repairs within the first warranty year.What is the estimate for

zvonat [6]

The probability of an event P(n), is equal to the number of the outcomes of that event n(E), divided by the total number of outcomes, or the sample space, n(S)

so $P(n)= \frac{n(E)}{n(S)}$

$P(truck need rapair within the first year)=$

$\frac{n(truck need rapair within the first year)}{n(trucks)} = \frac{105} {420}= 0.25$

The probability of an event = 1 - probability of the same event not to happen

so P(not need repair within the first year)=1-0.25=0.75

Answer: a) 0,25; b) 0,75

3 0

3 years ago