This question reveals an intriguing pattern.
The rule or pattern to follow here is:
For the left side of the number compared to its predecessor: (First digit x Third digit + 1)
For the right side: (Second digit x Fourth digit -1)
For instance, consider 6447. Next, let's examine its previous number, 9876.
Now, 
and
that's how we arrived at 6447
Next, for the third number, 2527, let's look at its previous number, 6447
Now, 
and 
that's how we reached 2527
Following the same reasoning, the missing number should be 534.
This conclusion came from applying the rule of the pattern as:
and
Thus, we derived 534.
Answer:
Vertex: (1, -4)
intercept: (-3, 0)
Step-by-step explanation:
Let's be honest, you're not here for a detailed breakdown; you simply want the answer.
HOWEVER... the vertex corresponds to the Y-axis while the intercept aligns with the X-axis.
Response:
Alan's survey aims to determine the art preferences among students at the local high school.
To conduct a thorough investigation, he needs to consider all students in the school as the target population since that is his goal.
Nevertheless, in many cases involving statistical studies, it's impractical to include the entire population. In such instances, a sample that accurately reflects the overall student body is employed.
This sample is a subset of the population and must share the same characteristics and attributes; otherwise, the findings may be skewed.
Thus, a feasible sample would consist of a specific number of students from each grade level, including freshmen, sophomores, juniors, and seniors. This approach ensures the sample accurately represents the larger population.
Answer:
At the α = 0.10 level, there is no substantial evidence indicating that the average vertical jump for students at this school differs from 15 inches.
Step-by-step explanation:
A hypothesis test is necessary to verify the assertion that the average vertical jump of students diverges from 15 inches.
The null and alternative hypotheses are:
The significance level is set at 0.10.
The sample mean recorded is 17, and the sample standard deviation is 5.37.
The degrees of freedom are calculated as df=(20-1)=19.
The t-statistic is:
The two-tailed P-value corresponding to t=1.67 is P=0.11132.
<pSince this P-value exceeds the significance level, the result is not significant. Therefore, the null hypothesis remains unchallenged.
At the α = 0.10 level, there is no compelling evidence that the average vertical jump of students at this school deviates from 15 inches.
# of guests waitstaff gratuity
10 18
20 36
30 54
40 72
50 90
<span>If the gratuity changes directly with the number of guests, which formula outlines the connection between the gratuity, t, and the number of guests, g?
t = 1.8g t = g/18 g = 1.8t g = t/18
</span>
18/10 = 1.8
36/20 = 1.8
54/30 = 1.8
direct variation: <span>t = 1.8g</span>
