Easy the answer is B: 17 and one-third
Answer:
(0, 1)
Step-by-step explanation:
In the picture attached, the question is shown.
From the picture:
- x2 = -4 (x-coordinate of the endpoint)
- y2 = 9 (y-coordinate of the endpoint)
- x1 = 2 (x-coordinate of the startpoint)
- y1 = -3 (y-coordinate of the startpoint)
Ratio m:n, means that m = 1 and n = 2.
Replacing into the formulas:
x-coordinate = m/(m+n) * (x2- x1) + x1 = 1/3 * (-4 - 2) + 2 = 0
y-coordinate = m/(m+n) * (y2- y1) + y1 = 1/3 * (9 - (-3)) + (-3) = 1
Answer:
Approximately, the 90% confidence interval for the students' mean IQ score is between 129.045 - 130.956
Step-by-step explanation:
The formula to use to solve this question is called the Confidence Interval formula.
Confidence interval =
x ± z × ( σ/ (√n) )
Where:
x = the sample mean = 130
z = the z-value for 90% confidence = 1.645
σ = standard deviation = 7
n = sample size = 145
130 ± 1.645 × (7/√145)
130 ± 0.9562687005
130 - 0.9562687005 = 129.0437313
130 + 0.9562687005 = 130.9562687005
Therefore, approximately, the 90% confidence interval for the students' mean IQ score is between 129.045 - 130.956
Answer:

Step-by-step explanation:
Given that:

and

To find:

Solution:
First of all,we have cos value as negative and tan value as positive.
It is possible in the 3rd quadrant only.
will lie in the 2nd quadrant so
will be negative again.
Because Cosine is positive in 1st and 4th quadrant.
Formula:

Here 

But as we have discussed,
will be negative.
So, answer is:
