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3 years ago

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Evaluate f(x) = 8.4x + 3.8 when x = 9.1. Type the number only for auto grade to work correctly. Round your answer to 2 decimal p

laces.

1 answer:

vova2212 [387]3 years ago

3 0

The answer is 80.24.

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If two events a and b are independent and you know that p(a) = 0.65, what is the value of p(a | b)?

Ksivusya [100]

Let's think of an example which would better help visualize this situation.

1) Someone exercises a lot so they can concentrate more on their homework (here running and concentration on homework are dependent events)

2) Someone exercises a lot because they wear a blue t-shirt (here, you can clearly see that wearing a blue shirt and exercising are not related. These events are independent).

Now concentrating on P(a | b) = Probability a occurred if b occurred.

It does not matter if b occurred (just like it didn't matter that the person wore a blue shirt which meant that they exercised) for the outcome a to occur.

Therefore, probability of P(a | b) = P(a)

P(a | b) = 0.65

Hope I helped :)

5 0

3 years ago

A pool pumps fills 1/6 of the pool in 1/3 hour. How much of the swimming pool is fillied in one hour? Can u please explain and c

Serga [27]

Answer:

;

Step-by-step explanation:

8 0

3 years ago

A ship leaves port at noon and has a bearing of S29oW. The ship sails at 20 knots. How many nautical miles south and how many na

ira [324]

Answer:

Approximately $58.2\; \text{nautical miles}$ (assuming that the bearing is ${\rm S$29^{\circ}$W}$ .)

Step-by-step explanation:

Let $v$ denote the speed of the ship, and let $t$ denote the duration of the trip. The magnitude of the displacement of this ship would be $v\, t$ .

Refer to the diagram attached. The direction ${\rm S$29^{\circ}$W}$ means $29^{\circ}$ west of south. Thus, start with the south direction and turn towards west (clockwise) by $29^{\circ}$ to find the direction of the displacement of the ship.

The hypothenuse of the right triangle in this diagram represents the displacement of the ship, with a length of $v\, t$ . The dashed horizontal line segment represents the distance that the ship has travelled to the west (which this question is asking for.) The angle opposite to that line segment is exactly $29^{\circ}$ .

Since the hypotenuse is of length $v\, t$ , the dashed line segment opposite to the $\theta = 29^{\circ}$ vertex would have a length of:

$\begin{aligned}& \text{opposite (to $\theta$)} \\ =\; & \text{hypotenuse} \times \frac{\text{opposite (to $\theta$)}}{\text{hypotenuse}} \\ =\; & \text{hypotenuse} \times \sin (\theta) \\ =\; & v\, t \, \sin(\theta) \\ =\; & v\, t\, \sin(29^{\circ})\end{aligned}$ .

Substitute in $\begin{aligned} v &= 20\; \frac{\text{nautical mile}}{\text{hour}}\end{aligned}$ and $t = 6\; \text{hour}$ :

$\begin{aligned} & v\, t\, \sin(29^{\circ}) \\ =\; & 20\; \frac{\text{nautical mile}}{\text{hour}} \times 6\; \text{hour} \times \sin(29^{\circ}) \\ \approx\; & 58.2\; \text{nautical mile}\end{aligned}$ .

7 0

3 years ago

There are 1,240 skittles in a bag, 25% are blue, .22 are red, 1/3 yellow and 1/5 are purple. Which color is least likely to be p

AveGali [126]

Purple is the correct answer

4 0

3 years ago

Read 2 more answers

It says circle each fraction that is equivalent to one half so witch one 3/6 4/9 or 4/8 5/10

11Alexandr11 [23.1K]

Answer:

jjnkm

Step-by-step explanation:

6 0

3 years ago