Ratio and propoertion
cost/amount is constant
1235/95=x/285
cross multiply or time both sides by (95 times 283)
351975=95x
divide oth sies by 95
3705=x
the cost is $3705
The statement correctly describes the graph of y = ln(x - 7) + 3 is translated 3 units up as well as 7 units to the right.
<h3>what is the graph of logarithmic function?</h3>
The graph of a logarithmic function has a vertical asymptote at x = 0. The graph of a logarithmic function will decrease from left to right
if 0 < b < 1. And if the base of the function is greater than 1, b > 1, then the graph will increase from left to right.
Given graph : y = ln(x), has a vertical and horizontal translation.
As we know, y = ln(x - h) + k | where h is the vertical shift, and k is the horizontal shift.
- If ln(x - k), then the graph is translated right k units.
- If ln(x + k), then the graph is translated left k units.
- If ln(x) + h, then the graph is translated up h units.
- If ln(x) - h, then the graph is translated down h units.
Therefore, comparing y = ln(x - 7) + 3 it with different function we can write the graph of y = ln(x - 7) + 3 is translated 3 units up as well as 7 units to the right.
Learn more about this concept here:
brainly.com/question/9832306
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Applying probability concepts, it is found that the correct statements are:
- c) pa and pb are not equal
- d) pa is 2/3 and pb is 1/3
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- A probability is the number of desired outcomes divided by the number of total outcomes.
The sample space, that is, the possible outcomes for the coin tosses is given next, considering H for heads and T for tails.
H - H
H - T
T - H
T - T
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- Considering that there is at least 1 tails, the new sample space is:
H - T
T - H
T - T
- pa: probability of one head, two outcomes with 1 head out of three, thus, pa = 2/3.
- pb: probability that the second is tails, so one outcome(T - T) out of three, thus pb = 1/3.
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The correct statements are:
- c) pa and pb are not equal
- d) pa is 2/3 and pb is 1/3
A similar problem is given at brainly.com/question/14798120
