Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 b
locks to work.
Which graph best represents the scenario?
A coordinate plane graph is shown. The x-axis is labeled time and the y-axis is labeled distance from home in miles. The line increases for 10 minutes, stays horizontal for 15 minutes, increases rapidly for another 25 minutes, then increases slowly for 5 minutes.
A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. The line begins at 0 commas 0 and then rises to 20 comma 4, where it drops back down to touch the x-axis at 30 commas 0. It then rises to 40 commas 5 and is horizontal for 15 minutes.
A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. A line begins at 0 commas 2, then rises to 20 commas 4. It is horizontal to 30 commas 4 and then increases to 40 commas 5. It is horizontal to 55 commas 5.
A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. The line begins at 0 commas 5 and decreases to 15 commas 1 where it is horizontal to 25 commas 1. It increases to 40 commas 5 and then decreases to 55 commas 0.
Which graph best represents the scenario?
A coordinate plane graph is shown. The x-axis is labeled time and the y-axis is labeled distance from home in miles. The line increases for 10 minutes, stays horizontal for 15 minutes, increases rapidly for another 25 minutes, then increases slowly for 5 minutes.
A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. The line begins at 0 commas 0 and then rises to 20 comma 4, where it drops back down to touch the x-axis at 30 commas 0. It then rises to 40 commas 5 and is horizontal for 15 minutes.
A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. A line begins at 0 commas 2, then rises to 20 commas 4. It is horizontal to 30 commas 4 and then increases to 40 commas 5. It is horizontal to 55 commas 5.
A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. The line begins at 0 commas 5 and decreases to 15 commas 1 where it is horizontal to 25 commas 1. It increases to 40 commas 5 and then decreases to 55 commas 0.
2 answers:
Answer:
The first graph best represent the given scenario.
Step-by-step explanation:
Given that Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 blocks to work. we have to find which graph best represent the scenario.
In the first graph, it is given The line increases for 10 minutes means the distance as well as time increases i.e Kent walked for 10 minutes then, stays horizontal for 15 minutes means no distance covered i.e stop or wait for 15 minutes. After that graph increases rapidly for another 25 minutes, that means rode the bus for 25 minutes then increases slowly for 5 minutes indicate walked to work.
The above graph best represent the scenario.
All three option is analysed by graphing which doesn't show the above given scenario.
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Answer:
(a) Null Hypothesis, :
41
Alternate Hypothesis, :
> 41
(b) The value of z test statistics is 1.08.
(c) We conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.
Step-by-step explanation:
We are given that in a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35.
It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41.
Let = <u><em>mean sunspot activity during the Spanish colonial period.</em></u>
(a) Null Hypothesis, :
41 {means that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41}
Alternate Hypothesis, :
> 41 {means that the mean sunspot activity during the Spanish colonial period was higher than 41}
The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;
T.S. = ~ N(0,1)
where, = sample mean = 47
σ = population standard deviation = 35
n = sample of periods from Spanish colonial times = 40
So, <em><u>the test statistics</u></em> =
= 1.08
(b) The value of z test statistics is 1.08.
(c) <u>Now, the P-value of the test statistics is given by;</u>
P-value = P(Z > 1.08) = 1 - P(Z < 1.08)
= 1 - 0.8599 = <u>0.1401</u>
Since, the P-value of the test statistics is higher than the level of significance as 0.1401 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.
Therefore, we conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.
Answer: Linear pairs of angles add up to 180 degrees. A+B=180
Step-by-step explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees
The last line is in vertex form, and can see the vertex is located at (2,1).