In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police
2 answers:
Answer:
Tthe distance between the police station and the fire station is 4 miles
Step-by-step explanation:
Let's call x the distance between the library and the police station
Let's call z the distance between the police station and the fire station
We know that:
miles
The distance (x) between the library and the police station is 3 miles less than twice the distance (z) between the police station and the fire station
This is:
We wish to find the distance z.
Then we equate both equations and solve for the variable z
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Answer:
C. H0: µD = 0, HA: µD <0
Step-by-step explanation:
We assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. So for this case is better apply a paired t test.
A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.
Let put some notation
x=test value for pretest , y = test value for posttest
x: 66, 94, 87, 84, 76, 88
y: 75, 100, 93, 85, 75, 90
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
Because the difference D is defined as Pretest-Postest. And we want to see if the postets score is higher than the pretest with th training.
The first step is calculate the difference and we obtain this:
d: -9, -6, -6, -1, 1, -2
The second step is calculate the mean difference
The third step would be calculate the standard deviation for the differences, and we got:
The 4 step is calculate the statistic given by :
The next step is calculate the degrees of freedom given by:
Now we can calculate the p value, since we have a left tailed test the p value is given by:
The p value is lower than the significance level assumed , so then we can conclude that we can reject the null hypothesis. So we can say that the differences between Pretest and Posttest
are less than 0.
Hi there!
When the slopes of two perpendicular lines are multiplied the outcome will be -1.
The slope is the number that is positioned in front of the variable x in the formula. In this case the slope of the given line is -2/5.
Let's call the slope of the perpendicular line m and take into account the given data of the question and my earlier explanation. We then find the following:
Divide both sides by - 2/5.
The answer is B.
~ Hope this helps you!
When the slopes of two perpendicular lines are multiplied the outcome will be -1.
The slope is the number that is positioned in front of the variable x in the formula. In this case the slope of the given line is -2/5.
Let's call the slope of the perpendicular line m and take into account the given data of the question and my earlier explanation. We then find the following:
Divide both sides by - 2/5.
The answer is B.
~ Hope this helps you!