Answer:
Yes it really does mean cup.
Step-by-step explanation:
This can only contian 1 jar
12.5 cups are equal to 100 ounces
if there are 100 oz in that little jar then only 1 large jar can be filled by a lttile jar.
Sin^(1/2) x cos x - sin^(5/2) cos x
= sin^(1/2) x cos x - sin(1/2)x sin^2 x cos x
factoring we get:
cos x sin^(1/2) x ( 1 - sin^2 x)
Now 1 - sin^2 x = cos^2 x so we have
cos x sin^(1/2) x * cos^2 x
= cos^3 x sqrt sin x
Answer:
6.10%
Step-by-step explanation:
For every round since we are choosing with equal probability, then the probability of choosing from either of the bags is 1/2
Here, this scenario is only possible when a particular bag has been chosen 10 times and the other bag has been chosen 6 times ( meaning a particular bag has been emptied and for a particular bag to be emptied, all of its content would have been picked)
Now on the 17th trial, an empty bag is chosen
Therefore the required probability will be;
16C0 * (1/2)^10 * (1/2)^6 * 1/2 = 0.0610 = 6.1%
First, let's find out the number of minutes Emily has to get to school. From 8:25 to 8:50, there are 25 minutes.
Next, let's find out the number of minutes before Emily looks at her watch. From 8:25 to 8:28.50, there are 3.5 minutes.
Now let's calculate Emily's speed in miles per minute. To do so, divide the distance traveled by the time it took:

miles/minute
Now let's calculate how far Emily can travel in 25 minutes going this speed. To do so, we multiply her speed by the time traveled:

miles
5.357 miles is greater than 3.42 miles, so yes, Emily will make it to school on time.
Answer: the blue and the pink