Z-scores are expressed in terms of standard deviations from their means. <span>The standard score is simply the score, minus the mean score, divided by the standard deviation. It is calculated as follows:
z = X- mean / standard deviation
z = 2.7 - 2.4 / 1.5
z = 0.2</span>
Answer:
60 miles per hour
Step-by-step explanation:
For each point just divide the miles by the hour
120/2 = 60 mph
180/3 = 60 mph
240/4 = 60 mph
The Pythagorean theorem or identity is given by
Where
- B is base of right angle traingle
- H is Hypotenuse
- P is perpendicular
The general equation of a circle is given by:
(x-a)^2+(x-b)^2=r^2
where:
(a,b) is the center
r is the radius
given the equation:
x^2+y^2=36
it means that the equation is centered at (0,0) with radius of 6 units. Thus a translation of 5 units to the left and 4 units up, will change the new center to
(-5,4)
thus the equation will be:
(x+5)^2+(y-4)^2=36
Answer: (x+5)^2+(y-4)^2=36
Answer:
8 rabbits
22 chickens
Step-by-step explanation:
c = chickens
r = rabbits
heads - c + r = 30
legs - 2c + 4r = 76
We can now use these two equations to create one by isolating the variable (c) in the first equation.
c = 30 - r
2c + 4r = 76
2(30 - r) + 4r = 76
60 - 2r + 4r = 76
2r = 16
r = 8
Now we know that there are 8 rabbits, which means that there has to be 22 chickens in order to have 30 heads.
