I got 180 because (although the picture is smaller and digital meaning I may be off) angle AOD = 85 degrees while angle BOC = 95. 95 + 85 = 180.
Answer: 32
Explanation:
The number of leaves in a tree diagram for probabilities is equal to the number of possible outcomes.
Tossing a coin 5 times leads to these results:
First,second, third and fourth tossing are the nodes; and fifth tossing has the leaves.
Root → 2 nodes → 2² nodes → 2³ nodes → 2⁴ → 2⁵ leaves = 32
Those 32 leaves is this sample space:
head-head-head-head-head
head-head-head-head-tail
head-head-head-tail-head
head-head-head-tail-tail
head-head-tail-head-head
head-head-tail-head-tail
head-head-tail-tail-head
head-head-tail-tail-tail
head-tail-head-head-head
head-tail-head-head-tail
head-tail-head-tail-head
head-tail-head-tail-tail
.......... (continue)
And so on until you have included all the possibilities, ending with tail-tail-tail-tail-tail. Those will be 32 outcomes.
Answer:
It's dividing by 3 everytime, so 1/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.
The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get
and use this to find the variance in the formula:
it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:
Squaring this ensures us that we don't end up with zero, which would be useless.
so
which means that the standard deviation is
s = 3.633
(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)
Answer:
Step-by-step explanation:
From the Venn diagram, n(AUB)=31
The given probabilities in the option are calculated below:
The only correct option is the probability of B which is 
