The student with the most accurate description of the graph that represents Kate's movement is Tim
<h3>The student with the accurate description</h3>
From the graph that represents Kate's distance per minute, we have the following highlights:
- Kate drives at an irregular speed for 2 minutes
- Then she drives at a regular speed for 4 minutes
- Then she stopped moving for the next 2 minutes
The student's description that matches the above highlights is Tim
Hence, the student with the most accurate description is Tim
Read more about distance-time graph at:
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There are a total of 900 students at Molly’s school. 810 is 90% of 900. 90% of students did not wear a silly hat.
Answers:
Lower bound = 41.3
Upper bound = 41.5
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Explanation:
49.15 is the smallest f can be while 49.24 is the largest it can be. Well technically we could have something like 49.2499 or 49.24999 and so on. We slowly approach 49.25 but never actually get there
So the variable f is between 49.15 and 49.25 inclusive of the first value but excluding the second value. We can write it as 
For similar reasoning, 
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If we wanted to subtract those variables and get the smallest result possible, then we need to pick values that are closest together. It might help to set up a number line.
This means we'd go for f = 49.15 and g = 7.85
The lower bound for f-g is f-g = 49.15-7.85 = 41.3
In contrast, the upper bound is when the two variables are spaced as far apart as possible. The upper bound is f-g = 49.25 - 7.75 = 41.5
For the first one, the graph shows a total of 12 representatives across all 5 categories, and of those, 2 are from the west this is the fraction 2/12, or the answer A) 1/6, meaning that 1 in 6 of the representatives are going to be from the western region.
For number 2, the answer is A) If you flip a coin 800 times, heads will come up about 400 times. This is because the law of large numbers says that as the number gets larger the ratio will get closer to 1:1. This means that since the coin only has 2 sides, it is about 50/50, meaning that of 800, 400 would be heads and 400 would be tails.
Hope this helps! :D
Answer: There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500
Step-by-step explanation:
given that;
n = 14
mean Ж = 19,850
standard deviation S = 1,084
degree of freedom df = n - 1 = ( 14 -1 ) = 13
H₀ : ц ≥ 20,500
H₁ : ц < 20,500
Now the test statistics
t = (Ж - ц) / ( s/√n)
t = ( 19850 - 20500) / ( 1084/√14)
t = -2.244
we know that our degree of freedom df = 13
from the table, the area under the t-distribution of the left of (t=-2.244) and for (df=13) is 0.0215
so P = 0.0215
significance ∝ = 0.05
we can confidently say that since our p value is less than the significance level, we reject the null hypothesis ( H₀ : ц ≥ 20,500 )
There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500
