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2 answers:
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Answer:
$16.
Step-by-step explanation:
Let t represent the cost of each tree.
We have been given that Yuri purchased 8 trees to have planted at his house. So the cost of 8 trees will be 8t.
We are also told that the store charged a delivery fee of $5 per tree. So the delivery charges of 8 trees will be
The total cost of purchasing 8 trees will be .
Since the total cost of the trees including the delivery was $168, so we can get an equation as:
Upon dividing both sides of our given equation by 8, we will get:
Therefore, the cost of each tree is $16.
Option B. y = 3 (one-third) Superscript x is the function that is graphed in this question.
<h3>How to solve the problem</h3>We have exponential functions to be of the form abˣ
This can be written in the form of f(x) =
So it crosses through the point (0, 3).
From the way that the curve passes through the circle, we can see that the it is said to pass through at (0, 3) and approaches y = 0 in quadrant 1
Hence this would put our answer to be y = 3 (one-third) Superscript x
Read more on coordinate planes here
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Let 
denote the event that an HD is defective, and 
the event that a particular HD was produced at facility 
.
You are asked to compute
From the definition of conditional probabilities, the first two will require that you first find
. Once you have this, part (c) is trivial.
I'll demonstrate the computation for part (a). Part (b) is nearly identical.
(a)
Presumably, the facility responsible for producing a given HD is independent of whether the HD is defective or not, so
.
Use the law of total probability to determine the value of the denominator:
We know each of the component probabilities because they are given explicitly: 0.015, 0.02, 0.01, and 0.03, respectively. So
and thus
(b) Similarly,
(c)
You are asked to compute
From the definition of conditional probabilities, the first two will require that you first find
I'll demonstrate the computation for part (a). Part (b) is nearly identical.
(a)
Presumably, the facility responsible for producing a given HD is independent of whether the HD is defective or not, so
Use the law of total probability to determine the value of the denominator:
We know each of the component probabilities because they are given explicitly: 0.015, 0.02, 0.01, and 0.03, respectively. So
and thus
(b) Similarly,
(c)