What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. in² The figure contains a triangle. One side is 11.1 inches. A second side is 7 inches. The angle between the given sides is 84 degrees.

Answer:

  B.  135

Step-by-step explanation:

For ...

• f(x) = 3x^2 -x
• g(x) = 2x -5

f(5) = 3·5^2 -5

   = 3·25 -5 = 75 -5 = 70

Then g(f(5)) is ...

  g(f(5)) = g(70) = 2·70 -5 = 140 -5

  g(f(5)) = 135 . . . . . matches choice B

Answer:

Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)

Step-by-step explanation:

To determine where is increasing or decreasing, we set and check for the intervals.

We see that when either or . Therefore, we'll need to check the intervals , , and

For the interval , we can pick . This means that, showing that increases on the interval

For the interval , we can pick . This means that , showing that decreases on the interval

For the interval , we can pick . This means that , showing that increases on the interval

Therefore, is increasing on and is decreasing on .

Answer:

• = { (4,1) , (3,2) , (2,3) , (1,4) }

Step-by-step explanation:

Let's start writing the sample space for this experiment :

{ (1,1) , (1,2) , (1,3) , (1,4) , (1,5) , (1,6) , (2,1) , (2,2) , (2,3) , (2,4) , (2,5) , (2,6) , (3,1) , (3,2) , (3,3) , (3,4) , (3,5) , (3,6) , (4,1) , (4,2) , (4,3) , (4,4) , (4,5) , (4,6) , (5,1) , (5,2) , (5,3) , (5,4) , (5,5) , (5,6) , (6,1) , (6,2) , (6,3) , (6,4) , (6,5) , (6,6) }

Let's also define the event ⇒

: '' The sum of the two dice is 5 ''

We can describe the event by listing all the favorables cases from ⇒

= { (4,1) , (3,2) , (2,3) , (1,4) }

In order to calculate we are going to divide all the cases favorables to over the total cases from . We can do this because all 36 of these possible outcomes from are equally likely. ⇒

⇒

Finally we are going to define the event ⇒

: '' The number of the first die is exactly 1 more than the number on the second die ''

⇒

= { (2,1) , (3,2) , (4,3) , (5,4) , (6,5) }

Now given two events A and B ⇒

P ( A ∩ B ) =

We define the conditional probability as

with

We need to find therefore we can apply the conditional probability equation :

  (I)

We calculate at the beginning of the question. We only need .

Looking at the sets and we find that (3,2) is the unique result which is in both sets. Therefore is 1 result over the 36 possible results. ⇒

Replacing both probabilities calculated in (I) :

We find out that

Final answer:

When rolling two dice, there are 4 combinations that sum to 5. Hence, probability P(E) is 1/9. If considering the event F where the roll on the first die is 1 more than on the second die, it has 5 possible outcomes. So P(F) is 5/36. However, if event E has already happened, P(F|E) is 1/4.

Explanation:

The subject of this question is probability, which is part of Mathematics, specifically, it is a high school-level question. The event E described here is the scenario in which the sum of the numbers rolled on the two dice equals 5. There are 4 possibilities for this event: (1,4), (2,3), (3,2), and (4,1). As there are 36 possible outcomes when rolling two dice, the probability P(E) is 4/36 = 1/9.

Now considering event F where the number on the first die is exactly 1 more than the number on the second die, we have five possible pairs: (2,1), (3,2), (4,3), (5,4), (6,5). So the P(F) is 5/36. However, we're asked to find P(F|E), the probability of event F given that event E has occurred. Looking at the pairs that fit both conditions, we see that there is only one pair: (3,2). Therefore, P(F|E) is 1/4.

Learn more about Probability here:

brainly.com/question/22962752

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Answer:

2683

Step-by-step explanation:

Using the linear regression equation that predict the relationship between the weight of the luggage and the total number of passenger y = 103 + 30x, we can plug in the number of passenger x = 86 to predict the weight of the luggage on a flight:

y = 103 + 30*86 =  2683

Answer:

y = x + 4

Step-by-step explanation:

y = mx + b (m = slope; b = y-intercept)

I used 2 points (-2 , 2) and (1 , 5) to calculate the slope of the line

m= (y₂ - y₁)/(x₂ - x₁)

(5-2)/(1--2) = 3/3= 1

y = 1x + b

using point (1, 5)

5 = 1(1) + b

5 = 1 + b

b = 5-1

b=4

y= 1x + 4 or simply y= x + 4

Answer:

A y = x + 4

yeh i did the test

Step-by-step explanation: