QUESTION 1
The point C(3.6, -0.4) divides AB in the ratio 3 : 2.
The coordinates of A are (-6, 5).
Let the coordinates of B be
We use the formula:
to determine the x-coordinate of B.
We substitute the known values to obtain:
This implies that:
We also use the formula:
to find the y-coordinate.
The coordinates of B are (10,-4)
QUESTION 2.
If point D divides CD in the ratio 4 : 5.
Then the coordinates of D are:
The coordinates of D are
Answer:
Lets assume that 1200 births are randomly selected and exactly 595 of the births are girls.
In percentage this is :
This is approx 50%. We can say that almost random 50% are girls.
So, It is unlikely because the probability of this particular outcome is very small, considering all of the other possible outcomes.
Part B: It is not unusual because 595 is about the number of girls expected.
Answer:
B.
Step-by-step explanation:
Exponential regression means a function that best fits the graph, or data table.
If we were to replace x (the input) with 1, A and C are eliminated options since they both equal very low values.
D is also eliminated, if the input was 1 it would not equal relatively close, rather it would be 1000.7
<u>Let's check B:</u>
Letter B best fits the data table.
*at f(1) A, C, and D are eliminated, their outputs are far from the value for 707.
To find the x-intercept, set y=0 and solve.
... 0 = log(12x +7) -3
... 3 = log(12x +7) . . . . add 3
... 1000 = 12x +7 . . . . take the antilog. (10^3 = 1000)
... 993 = 12x . . . . . . . .subtract 7
... 82.75 = x . . . . . . . . divide by 12
To find the y-intercept, set x=0 and solve.
... y = log(12·0 +7) -3
... y = log(7) -3 . . . . . . simplify
... y ≈ 0.85 -3 = -2.15 . . . . use a calculator for the log function
