Answer:
y=-5
Step-by-step explanation:
Answer:
Range: 36
Variance: 103.69
Standard Deviation: 10.18282868
Step-by-step explanation:
Because we were not told otherwise I think it would be fair to say that everything has an equal probability
Let's start by finding the range
the range is the largest value minus the smallest
40-4=36
Let's then find the variance
the variance is the second moment minus the first moment squared
first moment: .1(10+9+5+7+5+6+4+6+7+40)= 9.9
second moment: .1(10²+9²+5²+7²+5²+6²+4²+6²+7²+40²)= 201.7
201.7-9.9²= 103.69
The standard deviation is simply just the square root of the variance
√(103.69)= 10.18282868
not sure what they meant by the rounding part so I'll leave that to you
Answer:
Step-by-step explanation:
6x=2×3×x
9xy²=3×3×x×y²
common denominator=2×3×3×x×y²=18xy²
(5/2)(3/10)=(5*3)/(2*10)=15/20=3/4
Or
(5/2)(3/10)= (5)(1/2)(3)(1/10)=(5)(3)(1/2)(1/10) =(5*3)/(2*10)=15/20=3/4
Or
(5/2)(3/10)=(5)(0.5)(3)(0.1)=(2.5)(3)(0.1)=(7.5)(0.1)=.75=3/4
All of these work, but the first one is simplest
Answer:
(x-4)²/16 + (y-8)²/25 = 1
Step-by-step explanation:
center (h,k): ((4+4)/2 , (3+13)/2) = (4 , 8)
a = 13-8 = 5 c = 8-5 = 3
b = √5²-3² = 4
Equation: (x-h)²/b² + (y-k)²/a² = 1
(x-4)²/16 + (y-8)²/25 = 1
