If you have a right triangle and one angle in the triangle is 45 degrees, the other would have to be complementary (an angle that adds up to another to form a right angle) so the other angle would have to be 45 degrees to make that a right angle 90 degrees. So complementary angles are two angles that add up to equal 90 degrees.
Answer:
Angle <em>ADE</em> is an obtuse angle.
Step-by-step explanation:
An obtuse angle is an angle that "opens" greater than 90 degrees. The question asks which angle is an obtuse angle, so basically you follow the order of letters and see which one is greater than 90 degrees (btw, 90 degrees, also known as a right angle, looks like the corner of a square, and anything greater than that is an obtuse angle).
Answer:
0.09
Step-by-step explanation:
Given that 50% of this population prefers the color green.
Let p the probability that one person selected from the population prefer the green color of the car. So,
p=0.05
There is only two chance, any person either prefer the green color or not, assuming this holds true for every person, so the mentioned population can be assumed as Bernoulli's population.
By using Bernoulli's theorem, the probability of exactly r success of n randomly selected from the Bernoulli's population is
Here, 15 buyers are randomly selected, so, n= 15 and
So, by using equation (i), the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is
=0.0916
Hence, the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is 0.09.
Answer: y-3=4(x+1) in point-slope form and y=4x+7 in slope intercept form
Step-by-step explanation:
You can find the point-slope form by plugging the numbers into the following: y-y₁=m(x-x₁).
You will end up with y-(3)=(4)(x-(-1)) which when simplified equals y-3=4(x+1).
To find slope intercept form you know need to isolate y and simplify.
Adding 3 to both sides results in y=4(x+1)+3.
If you then distribute you get y=4x+4+3 which simplifies to y=4x+7.
C because 2,400 divided by 450 is a little more than 5 and 5 times 12 is 60 and a little more than 60 is 64.
