Answer:
D. 21
Step-by-step explanation:
replace 21 for r, 4(21)=84
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So we are given the mean and the s.d.. The mean is 100 and the sd is 15 and we are trying the select a random person who has an I.Q. of over 126. So our first step is to use our z-score equation:
z = x - mean/s.d.
where x is our I.Q. we are looking for
So we plug in our numbers and we get:
126-100/15 = 1.73333
Next we look at our z-score table for our P-value and I got 0.9582
Since we are looking for a person who has an I.Q. higher than 126, we do 1 - P. So we get
1 - 0.9582 = 0.0418
Since they are asking for the probability, we multiply our P-value by 100, and we get
0.0418 * 100 = 4.18%
And our answer is
4.18% that a randomly selected person has an I.Q. above 126
Hopes this helps!
Answer:
27 ft^3
Step-by-step explanation:
The total surface area of the cube is 54 ft^2.
A cube has 6 congruent square sides.
54 ft^2/5 = 9 ft^2
Each square side has area 9 ft^2.
The area of a square is the square of the side, so the side of a square is the square root of the area.
side = sqrt(9 ft)^2 = 3 ft
The volume of a cube is the cube of the side.
volume = (3 ft)^3
volume = 27 ft^3
Answer: A,b,e
A:Each successive output is the previous output divided by 3.
B:As the domain values increase, the range values decrease.
E:The range of the function is all real numbers greater than 0.
These are the answers on e2020. Hope this helps
Answer:
a = 35
c = 85
Step-by-step explanation:
85 + 60 + a = 180 as they are all supplementary angles (together they form an angle of 180°)
therefore a = 35.
a + ( 180 -(a+85)) + c =180 (as the angles of a triangle add up to 180°. our triangle is NMT, the angles are a, c and 180°-(a+85°) for a theorem about lines secant to parallel lines)
therefore c = 85
