Line t passes through points (10, 1) and (2, 6). Line u is perpendicular to t. What is the slope of line u?
1 answer:
Let's find the slope for line t first.
We can use the given points 2,6 and 10,1 to find the slope using the slope formula.
1 - 6 / 10 - 2
-5/8
The slope is -5/8.
Because we know the slope of this line, we can find the slope of the next line instantly, as they are perpendicular.
When a slope is perpendicular to another, it is equal to the negative reciprocal.
Negative reciprocal of -5/8 = 8/5
<h3>The slope of line u is 8/5</h3>You might be interested in
Answer:
(1) Correct option is B.
(2) Correct option is C.
Step-by-step explanation:
The information provided is:
The (1 - <em>α</em>)% confidence interval for the difference between two mean is:
The critical value of <em>t</em> is:
degrees of freedom
Compute the 95% confidence interval for the difference between two mean as follows:
Thus, the 95% confidence interval, (2.14, 3.86) implies that the true mean difference value is contained in this interval with probability 0.95.
Correct option is B.
The null value of the difference between means is 0.
As the value 0 is not in the interval this implies that there is a difference between the two means, concluding that priming does have an effect on scores.
Correct option is C.
Answer:
0.0903
Step-by-step explanation:
Given that :
The mean = 1450
The standard deviation = 220
sample mean = 1560
P(X> 1560) = P(Z > 0.5)
P(X> 1560) = 1 - P(Z < 0.5)
From the z tables;
P(X> 1560) = 1 - 0.6915
P(X> 1560) = 0.3085
Let consider the given number of weeks = 52
Mean = np = 52 × 0.3085 = 16.042
The standard deviation =
The standard deviation =
The standard deviation = 3.3306
Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.
Then;
Pr ( Y > 20) = P( z > 20)
From z tables
P(Y > 20) 0.0903