Answer:
The American population was 20% of the British population.
Step-by-step explanation:
Let us call the american population,
the British population before the migration, and
the population that migrated from America to Britannia.
Now, the population that migrated was 20% of the american population:
,
and the same population increase the British population by 4%:
Combining equation (1) and (2) we get:
Thus, the American population was 20% of the British population.
Answer: y - 1 = –(x –7)
or y –5 = –1(x –3)
The attachment shows the graph of these equations (identical)
Step-by-step explanation:
The basic form for a point-slope equation is
y - b = m(x - a)
a is the x-value from the given coordinate, b is the y-value form the given coordinate, m is the slope. x and y are the variables in the function.
To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."
Subtract the first coordinate from the second coordinate.
Given coordinate points: (3,5) and (7,1) substitute values:
m= 1 –5 / 7 –3 becomes m= –4/4 so the slope, m = –4/4
That is –1 The "1" is "understood," so only the negative sign represents the slope in the equation
To write the equation: Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.
y - b = m(x - a) Using the second coordinate: (7,1)
y - 1 = –(x –7)
or using the first coordinate:
y –5 = –(x –3)
Answer:
If the number of blue tiles in the bag is 180, then the probability of randomly drawing a red tile equal to 1/10.
Step-by-step explanation:
Total number of red tiles in a bag = 20
Let us assume the number of blue tiles in a bag = p
So, the total number of tiles in a bag = Red Tiles + Blue tiles
= 20 + p
Now, let us find the probability of drawing a red tile:
But, here the probability of drawing a red tile = 1/10
or, p = 180
Hence, if the number of blue tiles in the bag = 180, then the P Picking out a red tile ) is 1/10.