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
1) The equation that can be used to describe this situation is; a + 2a + 1 + 5a = d
2) The equation that can be used to describe this situation is; a = 2b + 800
<h3>How to solve Algebra Word Problems?</h3>
Length of original piece = d
length of first piece = a
The second piece is twice as long as the first piece. Thus;
Length of second piece = 2a
The third piece is one inch more than five times the length of the first piece. Thus;
Length of third piece = 1 + 5a
Thus, equation for total length is;
a + 2a + 1 + 5a = d
2) State A produced 800 million pounds of apples more than twice the amount of apples in State B.
If a represents the amount of apples grown in State A and b represents the amount of apples grown in State B, then we have;
a = 2b + 800
Read more about Algebra Word Problems at; brainly.com/question/4344214
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6km is same as 6000m so the answer is no, 6km is not greater than 6000m. Both value are the same.
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With more years of education, the annual salary should also increase
when someone is more educated, they are usually able to perform more difficult jobs and in turn get paid more money