Answer: 4
Step-by-step explanation:
Given the following :
P = probability of success = 0.5
n = number of trials = 8
The expected value of a binomial distribution with probability of success P and number of trials n is defined by:
E(n, p) = n * p
Therefore, expected value when P = 0.5 and n = 8
E(8, 0.5) = 8 × 0.5
= 4
The expected value of the binomial distribution is 4
5.46 to 3 sig figs means the range is {5.455,5.465} and 17.74 means the range {17.735,17.745}.
p=q²/r has a maximum value when q=5.465 and r=17.735 and a minimum value when 5.455 and r=17.745.
So the range of p is 1.6769 to 1.6840. When we have 2 decimal places we get p=1.68 which accommodates the maximum and minimum values of the range. So 2 decimal places is a suitable degree of accuracy, or we could say 3 significant figures.
The total length of the steel used in the frame is 270 cm, if the decorative steel up of 6 stems and each stem is 45 cm.
Step-by-step explanation:
The given is,
Decorative steel made from circular circle of 6 stems
The length of the stem is 45 cm
Step:1
We need to find the total length of the steel used in the decorative steel,
Let, T - Total length of the steel
L - Length of the stem
n - Number of stems used in steel frame
Step:2
Formula to find the total length of the steel is,
× 
From given,
= 45 cm
= 6 stems
Substitute the values in formula,
( 45 × 6 )
= 270
270 cm
Result:
The total length of the steel used in the frame is 270 cm.
Answer:
x = 3
Step-by-step explanation:
According to Euclidian theorem (x+9)^2 = 18*8
(x+9)^2 = 144 find the root for both sides
x + 9 = 12 subtract 9 from both sides
x = 3