Answer:
1.) slope is 6
2.) slope is -4
4.)slope is undefined
Step-by-step explanation:
1.) For one we can use the equation y2-y1/ x2-x1
First, pick any 2 points that you want to use to plug into the equation
(0, -3) and (1, 3)
Next, plug in and solve!
3-(-3)/ 1-0= 6
The slope is 6
2.) We can use this same equation for the problem and plug in!
(-1, 5) (2,-7)
-7- 5/ 2-(-1)= -4
The slope is -4!
4.) Use the same equation and find the slope!
(8, 1) and (8, 2)
2-1/ 8-8= undefined
Because we cannot divide by a 0 the slope is undefined!
To solve the question we proceed as follows:
mean=142
standard deviation=14
a] Find the interval in which 68% of the data lies:
P(x<X)=68%=0.68
the z-score associated with this probability is:
P(z<Z)=0.47
but :
z=(x-mu)/sig
thus;
0.47=(x-142)/14
solving for x we get:
x=148.58
thus 68 percent of the data lie below 148.58
b]<span>what is the probability that a man picked at random from the unit will weigh more than 170 pounds?
</span>x=170
thus
P(x>170) will be:
z=(170-142)/14
z=2
Thus
P(x>170)=1-P(z<2)
=1-0.9772
=0.0228
c] <span>that he will weigh less than 128 pounds?
P(x<128)
z=(128-142)/14
z=(-14/14)=-1
Thus
P(z<-1)=0.1587</span>
Answer:
An isosceles triangle is a triangle in which the two sides of the polygon are equal as well as the angles opposite to these sides are also corresponding
F(x) and g(x) were inverse functions, then if f(a) = b, then g(b) = a
f(x) = (5x+1) / x g(x) = x / (5x+1)
f(1) = 6, but g(6) = 6/31 ≠ 1
So, f(x) and g(x) are NOT inverse functions.