Answer: Yes -40 is the answer
Explanation:
-12 = u/8 - 7
8(-12)/8 = u/8 - 8(7)/8
-96/8 = u/8 - 56/8
-96 = u - 56
-u = -56 + 96
-u = 40
u = -40
49 pieces because 7/8 is equivalent to 49/56. If each piece is 1/56, then there 49 of them.
The rule for multiplying similar bases with exponents is:
(a^b)*(a^c)=a^(b+c)
In this case you have:
(x^9)(x^2)
x^(9+2)
x^11
Answer:
0.2 ; 100 ; 4.84
Step-by-step explanation:
Given that the probability of each of the 5 groups is the same :
Sum of probability = 1
Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2
Expected number for each interval for a sample of 500 : ; X = 500
E(X) = X * P(x) = 500 * 0.2 = 100
Goodness of fit (X²) :
X² = Σ(X - E)² ÷ E
Groups :
113, 95, 108, 99, and 85
X : 113 ____ 95 ____ 108 ____ 99 _____ 85
(113 - 100)^2 / 100 = 1.69
(95 - 100)^2 / 100 = 0.25
(108 - 100)^2 / 100 = 0.64
(99 - 100)^2 / 100 = 0.01
(85 - 100)^2 / 100 = 2.25
(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84
