Answer:
1/2
Step-by-step explanation:
area of larger square: 12 x 12 = 144
area of smaller square: 6√2 x 6√2 = 72
S/B = 72/144 = 1/2
Answer:
3 ; 4/3
Step-by-step explanation:
x + 4(1/x) = 13/3
x + 4/x = 13/3
x^2 -13/3x + 4 = 0
3x^2 - 13x + 12 = 0
Δ = 169 - 144 = 25
x1 = (13 + 5)/6 = 3
x2 = (13-5)/6 = 4/3
Let a number = x
therefore the sum of a number times 3 = 3x
and 6 means 3x+6 equals 4
so the equation is 3x+6=4
Solution :
In this case we have to use
for the goodness of fit.
Null hypothesis is :
Data follows the given distribution
Alternate hypothesis is :
Data do not follow the given distribution
The level of significance, 
The test statistics is given by :
Chi square = 
Here O is the observed frequencies
E is the expected frequencies
So we have, N = number of the categories = 4
df = degrees o freedom = N - 1
= 4 - 1 = 3
Critical value = 
Calculating the table for the test statistics are given as :
Category prop. O E 
A 0.2 14 20 1.80
C 0.3 28 30 0.13
M 0.1 6 10 1.60
P 0.4 52 40 3.60
Total 1 100 100 7.13
The test statics = chi square =
= 7.13
statistics = 7.13
P-value = 0.067767248
P -value > 
Therefore, we do not reject the
. There is sufficient evidence to conclude that the data follows the given distribution. So there is sufficient evidence to conclude the given claim is true.