Answer:
D. Obtuse.
Step-by-step explanation:
We are told that in
and
. We are asked to classify our given
.
We can see that angle M and angle P are acute angles as their measure is less than 90 degrees.
Let us find the measure of angle P using angle sum property of triangles, which states that sum of interior angles of a triangle is 180 degrees.
So we can set an equation as:

Upon substituting our given values we will get,




As measure of angle N is 98 degrees, so angle N is an obtuse angle.
Since a triangle having an angle that measures more than 90 degrees is called an obtuse triangle, therefore,
is an obtuse triangle and option D is the correct choice.
Answer:
c.natural
Step-by-step explanation:
The number e , sometimes called the natural number, or Euler's number, is an important mathematical constant approximately equal to 2.71828.
Answer:
Option C) 0.25
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 22 minutes
Standard Deviation, σ = 11.9 minutes
We are given that the distribution of response time is a bell shaped distribution that is a normal distribution.
Formula:
P(response times is over 30 minutes)
P(x > 30)
Calculation the value from standard normal z table, we have,

Thus, the correct answer is
Option C) 0.25
Answer:
a) f(0)=2
b)f(2)=-4
c)f(0)+f(2)=-2
d)f(3)*f(-2)=-56
e)f(0):f(2)=-1/2
Step-by-step explanation:
f(x) =-3x+2
a) f(0)=-3*0+2=2
b) f(2)=-3*2+2=-6+2=-4
c) f(0)+f(2)=2-4=-2
d)f(3)*f(-2)=-7*8=-56
f(3)=-3*3+2=-9+2=-7
f(-2)=-3*(-2)+2=6+2=8
e)f(0):f(2)=2/(-4)=-1/2