Answer:
if you toss a dice 30 times, you will roll a two 5 times.
Step-by-step explanation:
If you toss a dice once, the probability of rolling a 2 is 1/6, like you said.
So if you multiply your chances of rolling a 2 by 30, you get;
30.1/6 = 30/6 = 5
With even just two points, you can find the equation of a line in slope-intercept form.
Slope-intercept form:
where
is the slope and
is the y-intercept
<u>1) Solve for the slope (</u>
<u>)</u>
The equation to solve for the slope is
when the two points are
and
. Plug the coordinates of these points into the equation and solve for
.
Then, plug
into
.
<u>1) Solve for the y-intercept (</u>
<u>)</u>
Then, take any of the given points and plug it into
along with the slope. Isolate
to get the y-intercept. Then, plug both m and b back into
to get your final equation.
I hope this helps!
Answer:
2.4 hours
Step-by-step explanation:
Get common denominators -
1/12 x 5/5 = 5/60
1/5 x 12/12 = 12/60
The turtle walks ata 5/60 a kilometer an hour.
divide remaining time by 5/60
(12/60) / (5/60) = 2.4 hours
Let's say we wanted to subtract these measurements.
We can do the calculation exactly:
45.367 - 43.43 = 1.937
But let's take the idea that measurements were rounded to that last decimal place.
So 45.367 might be as small as 45.3665 or as large as 45.3675.
Similarly 43.43 might be as small as 43.425 or as large as 43.435.
So our difference may be as large as
45.3675 - 43.425 = 1.9425
or as small as
45.3665 - 43.435 = 1.9315
If we express our answer as 1.937 that means we're saying the true measurement is between 1.9365 and 1.9375. Since we determined our true measurement was between 1.9313 and 1.9425, the measurement with more digits overestimates the accuracy.
The usual rule is to when we add or subtract to express the result to the accuracy our least accurate measurement, here two decimal places.
We get 1.94 so an imputed range between 1.935 and 1.945. Our actual range doesn't exactly line up with this, so we're only approximating the error, but the approximate inaccuracy is maintained.
Total number of cards = 25 .
Total number of possible draws = 25
Number of possible successes = 5
(The successful draws are 1, 2, 3, 9, and 18.)
Probability of success = 5/25 = <em>1/5 </em> = 0.2 = 20%