Answer:
Step-by-step explanation:
Given that the observed frequencies for the outcomes as follows:
To check this we can use chi square goodness of fit test.
(Two tailed test at 5% significance level)
Assuming equally likely expected observations are found out and then chi square is calculated as (0-E)^2/E
Df = 6-1 =5
Outcome Frequency Expected frequency (Obs-exp)^2/Exp
1 36 34.83333333 0.03907496
2 30 34.83333333 0.670653907
3 41 34.83333333 1.091706539
4 40 34.83333333 0.766347687
5 23 34.83333333 4.019936204
6 39 34.83333333 0.498405104
209 209 7.086124402
p value =0.214
Since p >alpha, we accept null hypothesis
It appears that the loaded die does not behave differently than a fair die at 5% level of significance
Answer:
Julia has enough gas to mow the two yards.
Step-by-step explanation:
Given:
Julia needs 
gallon of gas to mow first yard.
Julia needs 
gallon of gas to mow second yard.
Julia has a total of 
gallon of gas in in her can.
To find whether she has enough to mow both yards.
Solution:
Total gallons of gas needed to mow two yards can be found out by :
⇒ 
Taking LCD =80.
⇒ 
⇒ 
Adding the numerators.
⇒ 
⇒ 1.2125 gallons
Julia has gallon = 1.5 gallons of gas in in her can.
Since 
, thus we can say that Julia has enough gas to mow the two yards.
Answer:
<h2>(0,1) and (2,5).</h2>
Step-by-step explanation:
The graph of the inequality is attached.
Remember, a solution of an inequality is a point on the shaded region. Also, it must satisfy the inequality expression
From the graph we know the possible answers are (0, 1) and (2, 5), let's prove it.
<h3>For (0, 1):</h3>
Which is true, so (0, 1) is solution.
<h3>For (2, 5):</h3>
Which is true, so (2, 5) is solution.
Therefore, the solutions are (0,1) and (2,5).
