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3 years ago

Which two events have the same probability the spinner is divided into 8 equal sections

Mathematics

1 answer:

umka21 [38]3 years ago

4 0

Answer:

N/A

Step-by-step explanation:

Not enough context is given for the problem.

Just remember, though:

And = Multiplication

Or = Addition

1/8 chance for each section

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Problem PageQuestion An automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 wer

8_murik_8 [283]

Answer:

Probability that the first vehicle selected is a motorcycle and the second vehicle is a van is (24/187) or 0.1283.

Step-by-step explanation:

We are given that an automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 were vans.

Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles.

As we know that, Probability of any event = $\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}$

Now, Probability that the first vehicle selected is a motorcycle is given by;

= $\frac{\text{Number of motorcycles}}{\text{Total number of vehicles}}$

Here, Number of motorcycles = 16

Total number of vehicles = 16 + 9 + 9 = 34

So, Probability that the first vehicle selected is a motorcycle = $\frac{16}{34}$

Similarly, Probability that the second vehicle is a van is given by;

= $\frac{\text{Number of vans}}{\text{Total number of remaining vehicles}}$

Here, Number of vans = 9

And Total number of remaining vehicles after selecting one motorcycle = 34 - 1 = 33

So, Probability that the second vehicle selected is a van = $\frac{9}{33}$

Therefore, the probability that the first vehicle selected is a motorcycle and the second vehicle is a van = $\frac{16}{34}\times \frac{9}{33}$

= $\frac{24}{187}$ = 0.1283

5 0

3 years ago

The speed of sound in air is a linear function of the air temperature. When the air temperature is 10°C, the speed of sound is 3

Sergeu [11.5K]

9514 1404 393

Answer:

process: substitute the given point values into the 2-point form of the equation for a line

Step-by-step explanation:

There are more than a half-dozen different forms of the equation for a line. They are useful for different purposes. One of them is the "two-point form".

Using x as the independent variable, and y as the dependent variable, the equation can be written as ...

y -y1 = (y2 -y1)/(x2 -x1)/(x -x1)

where (x1, y1) and (x2, y2) are the two points.

Here, your two points are ...

(t, s) = (10, 337) and (30, 349)

Using s in place of y, and t in place of x, these two points go into the formula like this:

s -337 = (349 -337)/(30 -10)(t -10)

Simplifying the fraction, this is ...

s -337 = (12/20)(t -10)

And writing it as a decimal, we get ...

s -337 = 0.6(t -10)

_____

Additional comments

Adding y1 to both sides of the above form gives you ...

y = (y2 -y1)/(x2 -x1)/(x -x1) +y1

This is the form I usually prefer to use, because it can lead directly to slope-intercept form. For this problem, the form shown above gets you to the answer you're looking for.

This "two-point form" is an expansion of the "point-slope form", which is ...

y - k = m(x -h) . . . . . . . line with slope m through point (h, k)

where the equation for slope is ...

m = (y2 -y1)/(x2 -x1)

and (x1, y1) is used instead of (h, k).

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