What is theValue of x ?
1 answer:
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Answer:
(27,2) and (243,18)
(63,9) and (84,12)
(45,15) and (60,20)
(27,12) and (72,32)
(15,30) and (20,40)
(12,32) and (18,48)
(18,63) and (24,84)
Step-by-step explanation:
Formula for slope of a line is
a) (15,30) and (20,40).
Similarly find the slope of other lines.
b) (12,32) and (18,48).
c) (27,12) and (72,32).
d) (45,15) and (60,20).
e) (27,2) and (243,18).
f) (18,63) and (24,84).
g) (63,9) and (84,12).
After arranging the slopes in increasing order, we get
So, required arrangement of ordered pairs is
(27,2) and (243,18)
(63,9) and (84,12)
(45,15) and (60,20)
(27,12) and (72,32)
(15,30) and (20,40)
(12,32) and (18,48)
(18,63) and (24,84)
<h2><u>Answer with explanation</u>:</h2>
Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.
Set of hypothesis :
Confidence interval for population proportion is given by :-
, where
n= sample size
= sample proportion
and is the two-tailed z-value for confidence level (c).
As per given ,
Sample size of parents : n= 1085
Number of parents indicated that they were satisfied= 466
Sample proportion :
Critical value for 90% confidence interval : ( by z-value table)
Now, the 90% confidence interval :
Thus , the 90% confidence interval: (0.4043, 0.4537).
Since 0.43 lies in 90% confidence interval , it means we do not have enough evidence to reject the null hypothesis .
i.e. We are have no evidence that parents' attitudes toward the quality of education have changed.