Triangular numbers can be represented with equilateral triangles formed by dots. The first five triangular numbers are 1, 3, 6,
2 answers:
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Answer:
We conclude that a web-based company are not exceeding their goal of 90%.
Step-by-step explanation:
We are given that a web-based company has a goal of processing 90 percent of its orders on the same day they are received.
434 out of the next 471 orders are processed on the same day.
Let p = <u><em>proportion of orders processing on the same day they are received.</em></u>
SO, Null Hypothesis, : p
0.90 {means that they are not exceeding their goal of 90%}
Alternate Hypothesis, : p > 0.90 {means that they are exceeding their goal of 90%}
The test statistics that would be used here <u>One-sample z test for</u> <u>proportions</u>;
T.S. = ~ N(0,1)
where, = sample proportion of orders that are processed on the same day =
= 0.92
n = sample of orders = 471
So, <u><em>the test statistics</em></u> =
= 1.599
The value of z test statistics is 1.599.
<u>Now, at 0.025 significance level the z table gives critical value of 1.96 for right-tailed test.</u>
Since our test statistic is less than the critical value of z as 1.599 < 1.96, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u><em>we fail to reject our null hypothesis</em></u>.
Therefore, we conclude that a web-based company are not exceeding their goal of 90%.
As given,
Loan amount is = $45000
Rate of interest = 8.5%
So, Tony's mortgage will attract an interest of:
= $3825 (this is yearly)
And for 1st month it will be = = $318.75
As given, the first month's payment is $390.60 and this covers the interest Additional amount ($390.60 - $318.75 = $71.85) is a payment against the principle.
Hence, the new principle after the 1st month is $71.85 less than $45000
= 45000-71.85 = $44928.15
Hence, the last option $44928.15 is the correct answer.