(a)
The sample space is a set whose elements are all the possible outcomes for the experiment. Since we will extract one of the months of the years, the sample space is the set composed by all the 12 months:
(b)
An event is a subset of the sample space. Events are often defined by their properties. In this example, the event E is the subset of the sample space defined as
So, we have
(c)
If all outcomes have equal probability, then the probability of an event is the ratio bewteen its cardinality, and the cardinality of the whole sample space:
In words, since there are three months beginning with J out of 12 months, we have a probability of 3 over 12 to pick a month starting with J, which simplifies to 1 over 4.
Answer:
0.9036
Step-by-step explanation:
Calculation to determine the probability that the proportion of Labradors
P(Proportion greater than 4%)
= P(z> 0.04 -0.05 /√0.05 * 0.95/806
= P(z > -1.30)
=0.9036
Thereforethe probability that the proportion of Labradors is =0.9036
Answer:
<u> $50</u> is <u>27.02%</u> of <u>$185</u>.
Step-by-step explanation:
Money spent on clothing = $50
Money spent on Groceries = $100
Money spent on Gas = $35
Total money spent = $185
Our question is to find the percentage of total money that is spent on clothing.
Percentage money on clothing = 
× 100
= 
× 100
= 27.02% (approx)
Hence,<u> $50</u> is <u>27.02%</u> of <u>$185</u>.
Answer:
f(-1) = 2
Step-by-step explanation:
To evaluate this function at x = -1, replace "x" in the equation with (-1) (you should use the parentheses as indicated here).
f(x)=x²-3x-2 becomes
f(-1)=(-1)² - 3(-1) -2, or
f(-1) = 1 + 3 - 2, or
f(-1) = 2
Answer:
slope: 
slope-intercept form: y= x+
Step-by-step explanation:
Hope this helps!
