Assume s is the side of the first square.
Let's find out the value of s:
4^2 = 2 × s^2 => s = 2.83 meters
Assume S is the side of the second square. Therefore 2.83^2 = 2 × S^2 => S = 2 meters.
The side of the second square is 2 meters
Answer:
x = 4 , y = 2
Step-by-step explanation:
Using the sine / tangent ratios in the right triangle and the exact values
sin60° = 
and tan60° = 
, then
sin60° = 
= 
= ( cross- multiply )
x = 4 ( divide both sides by )
x = 4
and
tan60° = 
= 
= ( multiply both sides by y )
y = 2 ( divide both sides by )
y = 2
Answer:
Null hypothesis is rejected. Standard deviation is > 8 miles per hour
Step-by-step explanation:
σ [Population standard deviation] = 8 , s [sample standard deviation] = s
n [no of items] = 8
H0 [Null] : σ = 8 ; H1 [Alternate - Right Tail] : σ > 8
χ2 = (n - 1) . s^2 / σ^2
= 49 x (10.5)^2 / 82 = 5402.25 / 64
χ2 = 84.410
df [degree of freedom] = n -1 = 50 - 1 = 49
P value (χ^2 49 > 84.410) = 0.00125
p = 0.0013
p < α ie 0.05
So, H0 is rejected
Hence we state that standard deviation is > 8 miles per hpur
Answer:
B. y=x²-x-6
Step-by-step explanation:
Consider the product ...
0 = (x -a)(x -b) = x² -(a+b)x +ab
This equation has solutions x=a and x=b. You will note that ...
- the constant is the product of the solutions (ab)
- the coefficient of x is the opposite of their sum (-(a+b))
For solutions of -2 and 3, the constant will be (-2)(3) = -6. This eliminates choices C and D.
The sum of the solutions is -2+3 = 1, so the coefficient of x is -1, matching choice B.
26.
You simply read the table on this one
