Indpendent events.
Probability of a child be a boy: 1/2
Probability of a child be a girls: 1/2
Combined probability of the event boy/girl/boy/girl = 1/2*1/2*1/2*1/2=1/16=0.0625
It's b, because the function is decreasing (a<0).
The first equation, 8x - 9y = - 23
Obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = ( , 3) and (x₂, y₂ ) = (- 4, - 1 )
m = = (- 4)/- =
partial equation is y = x + c
to find c substitute either of the 2 points into the partial equation
using (- 4, - 1 ), then
- 1 = - + c ⇒ c =
y = x + ← in slope- intercept form
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange the slope- intercept equation into this form
multiply through by 9
9y = 8x + 23 ( subtract 9y and 23 from both sides )
8x - 9y = - 23 in standard form
Answer: 1.5 meters
Step-by-step explanation:
Given: A lake near the Arctic Circle is covered by a sheet of ice during the cold winter months. S
S(t) models the ice sheet's thickness (in meters) as a function of time t (in weeks)
if we put x=0, then
So 4 meters is the initial thickness
To find the thickness after 6 weeks, put x=6 we get
Decrease in thickness every 6 weeks=
Answer: C. All the points in the preimage are shifted in the same distance.
Translations is one of the rigid transformations known in geometry. It simply refers to the copying of an image possessing the exact qualities on that of the original image. Thus, all the points in the preimage are shifted in the same distance.