Of the 1,000 students in a local college, 420 own brand X mobile phones and 580 own brand Y mobile phones. Of these students, 80
1 answer:
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Answer:
The profit margin associated with the concert sponsorship is 31.3725 %
Step-by-step explanation:
The arena earns $1700 for a single event
Consequently, for 12 events, the arena gains
The total for 12 events equals 20400
The expenses for this sponsorship amount to $14,000
Thus, profit = 20400-14000
This calculates to profit =6400
To find the profit margin =
Profit margin is defined as
Thus, the profit margin for the concert sponsorship is 31.3725 %
Answer:
We conclude that less than or equal to 50% of the student body supports him significantly.
Step-by-step explanation:
Mike, while campaigning for the student government presidency, is keen to determine if more than 50% of the student body supports him.
A random sample of 100 students was surveyed, with 55 expressing support for Mike.
Let p = the proportion of students backing Mike.
Thus, Null Hypothesis, : p
50% {indicating that the proportion of supporters among the student body is significantly less than or equal to 50%}
Alternate Hypothesis, : p > 50% {indicating that the proportion of supporters among the student body is significantly more than 50%}
The test statistics to be utilized here One-sample z proportion statistics;
T.S. = ~ N(0,1)
where, = the sampled proportion in favor of Mike =
= 0.55
n = number of sampled students = 100
Therefore, test statistics =
= 1.01
The z test statistic is 1.01.
At a significance level of 0.05, the z table provides a critical value of 1.645 for a right-tailed test.
Given that our test statistic falls below the critical value of z (1.01 < 1.645), we lack sufficient evidence to reject the null hypothesis as it remains outside the rejection region, leading to failure to reject our null hypothesis.
As a result, we conclude that less than or equal to 50% of the student body is in favor of him or the proportion supporting Mike is not significantly greater than 50%.
Answer:
Review the explanation
Step-by-step explanation:
The triangles ΔABC and ΔBAD are congruent, establishing:
- AB ≅ BA;
- AC ≅ BD;
- BC ≅ AD;
- ∠ABC ≅ ∠BAD;
- ∠BCA ≅ ∠ADB;
- ∠CAB ≅ ∠DBA.
Now, consider triangles AEC and BED. In these triangles, we have:
- AC ≅ BD;
- ∠EAC ≅ ∠EBD (due to ∠CBA ≅ ∠BAD);
- ∠AEC ≅ ∠BED (being vertical angles).
Therefore, ΔAEC ≅ ΔBED, which leads to the conclusion that:
AE ≅ EB.
This indicates that line segment CD bisects segment AD.
