Initial repair cost = $1200
Gratuity = 15% of the initial repair cost
= 15% of 1200
= 15 × 12
= 180
Hence, the gratuity for the service is $180.
PLEASE HURRY!
2 answers:
Answer:
Option C. x = 5
Step-by-step explanation:
To solve this question we should always keep these two points in our mind.
1). In-center of a triangle is formed by the intersection of the angle bisectors of all interior angles of the triangle.
2). In-center of a triangle is equidistant from all three sides of the triangle.
From the figure attached,
In ΔSRT,
∠ASZ ≅ ∠ZSB [ SZ is an angle bisector of angle ASB]
5x - 9 = 16 [ given in the question]
5x = 16 + 9
5x = 25
x =
x = 5
Therefore, Option C. is the answer.
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Answer:
test statistic (Z) is 2.5767 and p-value of the test is .009975
Step-by-step explanation:
: percentage of students who smoke did not change
: percentage of students who smoke has changed
z-statistic for the sample proportion can be calculated as follows:
z= where
- p(s) is the sample proportion of smoking students (
=0.25)
- p is the proportion of smoking students in the survey conducted five years ago (18% or 0.18)
- N is the sample size (200)
Then, z= ≈ 2.5767
What is being surveyed is if the percentage of students who smoke has changed over the last five years, therefore we need to seek two tailed p-value, which is .009975.
This p value is significant at 99% confidence level. Since .009975 <α/2=0.005, there is significant evidence that the percentage of students who smoke has changed over the last five years
Where does that StartFraction ... mess come from? -- I've seen it in other questions.
Comparing that to the general quadratic formula
we see b=-10 (agreeing in both places) a=7 (two places), c=-2
Answer: 7x² - 10x - 2 = 0