2. Fraction
3. -1 & 1/4
4. -5/7
Answer:
D
Step-by-step explanation:
Answer:
Area of rectangle = 225/2 or 112.5
Step-by-step explanation:
Given,
Consider a rectangle ABCD.
Let AC be a diagonal of rectangle of length = 15
In triangle ABC.
Sin 45° =height/hypotenuse {SinФ = height / hypotenuse}
Here, hypotenuse = diagonal of rectangle ( i.e AC = 15)
And height is AB
Therefore, sin 45° = AB/AC
or sin 45° = AB / 15
or 1/√2 = AB /15
AB = 15/√2
Similarly we can find Base (i.e BC) using cosine.
Cos 45° = Base/Hypotenuse
Cos 45° = BC / AC
or 1/√2 = BC/15
BC = 15/√2
Hence we got length of rectangle , AB= 15/√2
And width of rectangle , BC = 15/√2
Therefore, area of rectangle = Length × Width
Area of rectangle = 15/√2 × 15/√2 = 225/2
Hence, area of rectangle = 225/2 = 112.5
Answer:
A) No
B) No
C) Yes
Step-by-step explanation:
A) 2 out of three observations is equal to
2/3 = 0.67 or 67 %
We know tha the interval
[μ - σ/2 , μ + σ/2] is approximately 68.3 % of the values
Therefore 2 out of 3 would not fall in that interval
B)
4 out of 5 is 4/5 = 0,8 or 80 % If we examine the interval
[μ - σ , μ + σ ] which is approximately 95. Then value 4/5 ( 0,8)
Therefore 0,8 is out of the interval
C) 19/20 = 0,95 or 95 % is almost exact the value for the interval
[μ - 1.5σ , μ + 1.5σ ] That value is inside μ - 2σ , μ + 2
Answer:
31.25
Step-by-step explanation:
