Answer:
adults = 18, children = 17
Step-by-step explanation:
In the given triangle , Coordinates of A (-1,3) , B (-5,-1), C (3,-1).
Let's find the slope of AB and AC .
Formula of slope is
For AB, slope is,
And slope of AC is
Product of the slopes of AB and AC is
Since the product of the two slopes is -1, so AB and AC are perpendicular.
And if they are perpendicular, angle BAC is 90 degree, so the triangle is right triangle .
Now we check the length of the sides of the triangle, and for that we use distance formula , which is
So for AB,
For AC,
For BC,
And since two sides are equal, so the triangle is isosceles triangle .
Answer:
Step-by-step explanation:
Since the actual probability of having a boy child is 0.51, the probability of having a girl child will be (1 - 0.51) = 0.49
A couple plans to have 3 kids; 2 of whom are boys
(A) Using the binomial model, the probability that 2 of the 3 children will be boys is (2/3) × 0.51 = 0.34
(B) The possible orderings of the 3 children are given below:
B1 B2 G / B1 G B2
B2 B1 G / B2 G B1
G B1 B2 / G B2 B1
Where B1 is one male child and B2 is the other male child
(C) If we wanted to calculate the probability that a couple who plans to have 8 kids will have 3 boys, briefly describe why the approach from part (b) would be more tedious than the approach from part (a)
If the probability of 2/3 is 0.34 then the probability of 3/8 will be 0.1912 when you cross multiply
To find the slope, you find the change in y-values over the change in x-values.
Your first point is: (5,-3)
Your second point is (8, -5)
Your x-values are: 5 and 8
Your y-values are -3 and -5
The equation to find slope is: slope = (y2-y1)/(x2-x1)
- The 2s and 1s indicate which point the values belong to, it makes sure that you align the right x-value with its correct y-value. It doesn't matter which point you assign as 1 or 2, as long as the values match
- So, x-value 5 will match with y-value -3, and x-value 8 will match with y-value -5
Now you plug in out values :
slope = (y2-y1)/(x2-x1)
slope = (-5-(-3))/(8-5)
slope = (-2)/(3)
slope = -2/3
Answer:
Standard notation:1124400
P=1.124
q=6
Step-by-step explanation:
Standard notation is the normal way of writing a number(in this case the standard notation is 11 244 000(which is the difference between the population of the New York state and New York city)
Then scientific notation is writing a number in two parts. The first part is placing a decimal point after the first digit. The second is *10 to a power that puts the decimal point back where it should be.(1.124*10 to the power 6)
HOPE IT HELPED
