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White raven [17]
3 years ago
6

4(x-6)²-3=97 what is the highest and lowest answer

Mathematics
1 answer:
lapo4ka [179]3 years ago
5 0

Answer:

x=1

x=11

Step-by-step explanation:

4(x-6)²-3=97

Add 3 to each side

4(x-6)²-3+3=97+3

4(x-6)²=100

Divide each side by 4

4/4(x-6)²=100/4

(x-6)²=25

Take the square root of each side

sqrt(4(x-6)²)=sqrt(25)

x-6 = ±5  

Separating into two equations

x-6 = 5    x-6 = -5

Add 6 to each side

x-6+6 = 5+6       x-6+6 = -5+6

x=11                       x=1

The two solutions are 1, 11

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Computer software generated 500 random numbers that should look like they are from the uniform distribution on the interval 0 to
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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

7 0
3 years ago
if ZA and ZB are supplementary angles. if mZA = (3x-23) and mZB= (2x-12) then find the measure of ZB​
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Answer:

mZB= 74

Step-by-step explanation:

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X=43....so ZB=2(43)-12

                     =86-12=74

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3 years ago
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