Answer:
g(x) = -x² - 4
Step-by-step explanation:
In this case, we are only changing <em>a </em>(reflection and vertical shrink/stretch) and <em>k </em>(vertical movement)
<em>k </em>= -4 because we are moving 4 units down
<em>a </em>= -1 because we are just reflecting over the x-axis
Answer:
p = 9
Step-by-step explanation:
The distributive property can be used to factor the given expression.
__
18n +54 = 18(n +3)
Matching this to the desired form, we see ...
18(n +3) = 2p(n +3)
2p = 18
p = 9 . . . . . . . divide by 2
Answer:
K is equal to 56
Step-by-step explanation:
Answer:
(a) Shown below.
(b) Shown below.
(c) The probability that a person does not learn Spanish is 0.18.
(d) The probability that method B was used given that a student learned the Spanish successfully is 0.83.
Step-by-step explanation:
(a)
Consider the provided data.

Then the probability of not learning Spanish using the respective methods are:

(b)
The Probability Tree representing each of the probabilities mentioned above is attached below.
(c)
Compute the probability that a person does not learn Spanish as follows:


Thus, the probability that a person does not learn Spanish is 0.18.
(d)
Compute the probability that method B was used given that a student learned the Spanish successfully as follows:


Thus, the probability that method B was used given that a student learned the Spanish successfully is 0.83.