Answer:
787.5
Explanation
Answer: 787.5
Explanation:
The slope/rate of change would be 8.75 because EACH person is charged $8.75. The y-intercept would be 350 because even if there are 0 people who come to the party, you would still have to pay 350 for renting the room.
So let's make this into an equation-
y= 8.75x + 350 would be the equation. 8.75 is the slope and 350 is the y-intercept.
Now let's solve it!
y= mx+b here's the formula
y= 8.75x + 350 here's our equation
y= 8.75(50) + 350 substitute x for 50
y= 437.5 + 350 multiply 8.75 and 50
y= 787.5 add the numbers together
Our answer is y=787.5!
I hope that helped you! :-)
1.
Get on the boat! A small ferry runs every half hour (a) Find P(Y< 20). Interpret this result.
from one side of a large river to the other. The proba- (b) Express the event "at least $20 is collected" in terms
bility distribution for the random variable Y = money
of Y. What is the probability of this event?
collected (in dollars) on a randomly selected ferry trip
is shown here.
Money collected
Probability
0 5
10 15 20 25
0.02 0.05 0.08 0.16 0.27 0.42
a) The probability that less than $20 is collected is given by: Find P(Y< 20) = 0.31 = 31%.
b) The probability that at least $20 is collected is given by: P(Y ≥ 20) = 0.69 = 69%.
How to calculate the probabilities?The probabilities in this problem are called from the discrete distribution, defined as follows:
P(Y = 0) = 0.02.P(Y = 5) = 0.05.P(Y = 10) = 0.08.P(Y = 15) = 0.16.P(Y = 20) = 0.27.P(Y = 25) = 0.42.Then the probability that less than $20 is collected is obtained as follows:
P(Y < 20) = P(Y = 0) + P(Y = 5) + P(Y = 10) + P(Y = 15).
Replacing the values from the table, the probability is obtained as follows:
P(Y < 20) = 0.02 + 0.05 + 0.08 + 0.16 = 0.31 = 31%.
Less than $20 and at least $20 being collected are complementary events, hence:
P(Y ≥ 20) = 1 - 0.31 = 0.69 = 69%.
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TRUE or FALSE: Conservatism opposed liberalism and socialism.
Answer:
False
Explanation:
Conservatism:
The disposition to preserve or restore what is established and traditional and to limit change.
Liberalism:
A political or social philosophy advocating the freedom of the individual, parliamentary systems of government, nonviolent modification of political, social, or economic institutions to assure unrestricted development in all spheres of human endeavor, and governmental guarantees of individual rights and civil liberties.
Socialism:
A theory or system of social organization that advocates the vesting of the ownership and control of the means of production and distribution, of capital, land, etc., in the community as a whole.
Taking a look at these, we can see that the answer would be false.
Where might you find the end of a continental shelf?
Typically, a continental shelf stretches from the shore to depths of 100-200 metres (330–660 feet). It slopes gradually seaward with an average slope of around 0.1°. Almost always, it finishes at the seaward edge with a sharp drop known as the shelf break.
What is continental shelf?A continental shelf is a section of a continent that is buried beneath a shallow body of water known as a shelf sea. During glacial eras, sea level reductions exposed several of these shelves. An insular shelf is the shelf that surrounds an island.
Organic and inorganic elements accumulated over millions of years to produce continental shelves. Inorganic material accumulated when rivers transported sediment—bits of rock, soil, and gravel—to the continent's boundaries and into the ocean. These sediments accumulated gradually in strata near the margins of continents.
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