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daser333 [38]
3 years ago
14

Question 5(Multiple Choice Worth 1 points)

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Given:

The graph passes through the points (0,-20) and (4,10).

To find:

The equation of line that most closely represents the line depicted in the graph.

Solution:

If a line passing through two points, then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The given line passes through the points (0,-20) and (4,10). So, the equation of line is

y-(-20)=\dfrac{10-(-20)}{4-0}(x-0)

y+20=\dfrac{10+20}{4}(x)

y+20=\dfrac{30}{4}x

y+20=\dfrac{15}{2}x

Subtracting 20 from both sides, we get

y=\dfrac{15}{2}x-20

The function form is

f(x)=\dfrac{15}{2}x-20

f of x equals fifteen halves times x minus 20.

Therefore, the correct option is B.

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Two of the 240 passengers are chosen at random. Find the probability that
hjlf

Step-by-step explanation:

there are in total 240 passengers.

out of these 240, there are 150+30=180 passengers that are in holiday.

and 240-180 = 60 passengers are not.

if we pick one passenger then the probability is 180/240 = 3/4 = 0.75 that he/she is on holiday.

remember : desired "events" over total "events".

i)

now we pick 2 passengers.

the probabilty for the first one to be on holiday is again

3/4 or 0.75.

if that event happens, then we have only 179 passengers out of now 239 to be on holiday.

and to pick one out of that pool to be on holiday is then

179/239 = 0.748953975...

and for both events to happen in one scenario we need to multiply both probabilities (it is an "and" relation, while an addition would be for an "exclusive or" relation).

the probabilty that we pick 2 passengers on holiday is

3/4 × 179/239 = 0.561715481... ≈ 0.5617

we cannot simply square the basic probability of 0.75 (0.75² = 0.5625), because that would mean we pick one passenger, then put him back into the crowd, and then pick a second time (with a chance to pick the same person again). like with rolling a die.

but that is not the scenario as I understand it. it is to pick a passenger, then keep that person singled out and pick a second passenger. hence the difference.

ii)

exactly one of the two is in holiday.

that means

either the first one is on holiday and the second one is not, or the the second one is and the first one is not.

now we model this logic statement in probabilty arithmetic.

please note that after the first pull we need to update the numbers for the remaining pool depending on the result of the first pull.

the total remaining is in both cases 239. but either the remaining people on holiday go down to 179 (and not in holiday stays 60), or the remaining people not on holiday go down to 59 (and on holiday stays 180).

so, the first one is on holiday, and the second one is not :

3/4 × 60/239 (remember : "and" relation)

= 3 × 15/239 = 45/239 = 0.188284519...

the first one is not on holiday, and the second one is :

60/240 × 180/239 = 1/4 × 180/239 = 45/239 =

= 0.188284519...

since there is no overlap of the potential events (there is no event that could be in both cases), this is an exclusive or relation, and we can add the probabilities.

so, the probability for exactly one of the picked passengers to be on holiday is

2×0.188284519... = 0.376569038... ≈ 0.3766

8 0
2 years ago
Combine the like terms to create an equivelant expression -3x-6(-1)
Elza [17]

Answer:

-3x+6

Step-by-step explanation:

-3x-6(-1)

First, multiplying two negatives equals a positive: (-)×(-)=(+). Then,

multiply the numbers -3×+6×1 = -3x+6. Then, you got the answer and the answer is -3x+6

3 0
3 years ago
S=n(a1+an)/2 gives the partial sum of an arithmetic sequence. What is the formula solved for an?
Veseljchak [2.6K]
S = n(a1 + an)/2
2S = n(a1 + an)
2S = na1 + nan
nan = 2S - na1
an = (2S - n a1)/n
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PLEASE HELP ME If this rectangle is dilated using a scale factor of One-half through point B, what is the result? Point B is the
elixir [45]

Answer:

It is B just took the unit quiz

4 0
2 years ago
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Please help thank you ​
beks73 [17]

Answer:

The answer is the first R

Step-by-step explanation:

Because I said so

4 0
3 years ago
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