The probability that the value selected at random is greater than 30 will be found as follows:
z-score is given by:
z=(x-mu)/sig
z=(30-30)/2=0
thus
P(x>30)=1-P(X<30)=1-P(z<0)=1-0.5=0.5
Answer P(x>30)=0.5
4 shelves of consecutive even numbers
x , x + 2, x + 4, x + 6
5 ft = 60 inches
x + (x + 2) + (x + 4) + (x + 6) = 60....combine like terms
4x + 12 = 60
4x = 60 - 12
4x = 48
x = 48/4
x = 12 <==== one 12 inches
x + 2 = 12 + 2 = 14 <== one is 14 inches
x + 4 = 12 + 4 = 16 <== one is 16 inches
x + 6 = 12 + 6 = 18 <== one is 18 inches
Answer:
Step-by-step explanation:t55
An octagon has 8 sides. If each of them has a length of x, then the perimeter is 8x which is twice the perimeter of the square. (The square has a perimeter of 4x)
A dodecagon is a 12 sided regular polygon. It will have 12 sides all of which are equal to x. Since the square has a perimeter of 4x and the dodecagon has a perimeter of 12x the perimeter of the dodecagon is 3 times that of the given square.
A 4th degree polynomial will have at most 3 extreme values. Since the degree is even, there will be one global extreme, with possible multiplicity. The remainder, if any, will be local extremes that may be coincident with each other and/or the global extreme.
(The number of extremes corresponds to the degree of the derivative, which is 1 less than the degree of the polynomial.)
