3 years ago

a fair die is cast four times. Calculate the probability of obtaining exactly two 6's round to the nearest tenth of a percent

Mathematics

1 answer:

Mrac [35]3 years ago

6 0

$|\Omega|=6^4=1296\\|A|=1\cdot1\cdot5\cdot5\cdot\dfrac{4!}{2!2!}=25\cdot6=150\\\\P(A)=\dfrac{150}{1296}\approx11.6\%$

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The ratio of dogs to cats being treated at a veterinarian's office this week is 5 : 2. Suppose there are 168 dogs and cats sched

Alexeev081 [22]

Answer:

48 cats

Step-by-step explanation:

Am interesting factoid about ratios:

The ratio $a:b$ can be separated into fractional parts of $\frac{a}{a + b}$ and $\frac{b}{a + b}$ . We need to know the cat part. $\frac{2}{5 + 2} = \frac{2}{7}$ , so that is the fraction part. Then, we multiply this fraction by 168 to get the total number of cats. This number is 48.