Answer:
a) 0.8413
b) 421
c) 
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 165
Standard Deviation, σ = 15
We are given that the distribution of IQ examination scores is a bell shaped distribution that is a normal distribution.
Formula:
a) P(IQ scores at most 180)
P(x < 180)
Calculation the value from standard normal z table, we have,
b) Number of the members of the club have IQ scores at most 180
n = 500
c) P(X< x) = 0.95
We have to find the value of x such that the probability is 0.95
Calculation the value from standard normal z table, we have,
Answer:
Step-by-step explanation:
the minimum of f is for x = 1 and f(1)=0
f is decreasing for x<=1 and increasing for x>=1
so the domain is 
x>=1 so x is positive and we can take the square root
so 
The perimeter "P" is equal to the length of the base of one triangle multiplied by the "n" number of triangles in the figure plus two times the length of another side. The equation for the perimeter is P = 5n + 14.
We are given triangles. The triangles are arranged in a certain pattern. The length of the base of each triangle is equal to 5 units. The length of the other two sides is 7 units each. We conclude that all the triangles are isosceles. We need to find the relationship between the number of triangles and the perimeter of the figure. Let the perimeter of the figure having "n" number of triangles be represented by the variable "P".
P(1) = 14 + 5(1)
P(2) = 14 + 5(2)
P(3) = 14 + 5(3)
We can see and continue the pattern. The relationship between the perimeter and the number of triangles is given below.
P(n) = 14 + 5n
To learn more about perimeter, visit :
brainly.com/question/6465134
#SPJ1
Answer:
Since it's a right angled triangle
Hypotenuse = h
h² = 7²+24²
h= √49 + 576
h = √625
h= 25
Therefore hypotenuse is 25
Hope this helps.
