Answer:
m∠A = 120°
m∠C = 45°
Step-by-step explanation:
all triangle angles add up to 180
(12x + 12) + 15 + (3x +18) = 180
15x + 45 = 180
15x = 135
x = 9
m∠A = (12x + 12) = 12(9) + 12 = 120
m∠C = (3x +18) = 3(9) + 18 = 45
Yes it is true it does simplify to that answer.<span />
Answer:
Step-by-step explanation:
Given the exponential function as
substitute both points in the equation above
point (-3,16) will be
point (-1,4) will be
make a the subject of the formula in both equations above
This means
Cross multiply as;
Divide by 4 both sides to get
Divide by b^-1 both sides
Find value of a
Hence
a=2 and b=1/2 thus write the equation as;
It would be =-5f
Hope this helps
We are looking to find P(X>60 students)
X is normally distributed with mean 50 and standard deviation 5
We need to find the z-score of 60 students
To find the probability of P(Z>2), we can do 1 - P(Z<2)
So we read the probability when Z<2 which is 0.9772, then subtract from one we get 0.0228
The number of students that has score more than 60 is 0.0228 x 1000 = 228 students