Answer:
Relation 3: yes, it can be a function
Relation 4: no, it cannot be a function
Step-by-step explanation:
in a function, for every input x there can only be one correlating output y.
Answer: Rex weighs more.
Step-by-step explanation:
You have to change both of the numbers into the same form. I did decimal form.
Rex - 11 7/18 = 11.389 (rounded to the hundredths)
Roman - 11.329
Rex is bigger.
<u><em>Hope this helps!</em></u>
We could do it by first writing
so that
and since 
, we have
# # #
Alternatively, we can just compute the product and take it mod 4:
and so we get the same result of 1.
To get the probability of selecting a person who is a
democrat and is favour to the issue, let us first calculate for the portions in
each party who is favour on the issue.
p (rep & favour) = 0.4 * 0.3 = 0.12
p (dem & favour) = 0.6 * 0.7 = 0.42
Therefore the total portions who are favour is:
p (favour) = 0.12 + 0.42 = 0.54
Hence the probability is:
P (dem & favour) = 0.42 / 0.54 = 0.7778 = 0.78
Therefore there is about 78% probability that the person
selected who is favour to the issue is a democrat.
Answer:
It takes at least 7 months for the cat to be at least 6 kg lighter than the original weight.
Step-by-step explanation:
Use exponential decay formula:
A = P (1-r)t
A = amount decreased to
P = original amount
r = rate of decrease
t = time
6 ≥ 12 (1-0.10)t divide both sides by 12
0.5 ≥ (0.9)t take log of both sides
log (0.5) ≥ log (0.9)t power rule of logs lets the exponent t drop to front of log to become a factor
log (0.5) ≥ t log(0.9) divide both sides by log(0.9) which is negative so reverse the inequality sign
log (0.5) / log (0.9) ≤ t use calculator
6.57 ≤ t
It takes at least 7 months for the cat to be at least 6 kg lighter that original weight.
check:
12 (0.9)7≈ 5.73
12 (0.9)6 ≈ 6.37
