Use the relationship among the three angles of any triangle to solve. Two angles of a triangle have the same
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28. The ratio of games they won to total games played = 12: 14 = 6: 7.
29. Max's pay rate is 9.50 dollars per hour.
30. The value of n is 9.
Step-by-step explanation:
Step 1; Heather's team won 12 games out of 14. To find the ratio of games won to the total number of games we divide the number of games won to the number of games played.
The ratio of games won to games played = 12: 14, dividing both sides by 2 we simplify the ratio. So the simplified ratio is 6: 7.
Step 2; Max earns $380 for working 40 hours. So to find how much he earns an hour we divide the total money earned in n hours divided by n number of hours.
Money earned per hour = = $9.50. So Max's pay rate per hour is $9.50.
Step 3; The given proportion is
=
, to solve this we keep n on the left-hand side while we multiply the 12 on to the other side
n = × 12 =
× 12 =
= 9.
Answer:
The test statistics is
The p-value is
Step-by-step explanation:
From the question we are told
The West side sample size is
The number of residents on the West side with income below poverty level is
The East side sample size
The number of residents on the East side with income below poverty level is
The null hypothesis is
The alternative hypothesis is
Generally the sample proportion of West side is
=>
=>
Generally the sample proportion of West side is
=>
=>
Generally the pooled sample proportion is mathematically represented as
=>
=>
Generally the test statistics is mathematically represented as
=>
=>
Generally the p-value is mathematically represented as
From z-table
So