Answer:
see explanation
Step-by-step explanation:
The missing angle is 45°, thus the right triangle is isosceles.
Then the 2 sides y and 7 are congruent.
Hence y = 7
Using Pythagoras' identity to calculate x
x² = 7² + 7² = 49 + 49 = 98
Take the square root of both sides
x = = = 7 ≈ 10
Answer:
The upper limit of the 95% confidence interval is:
C.I_u = 200 + (58.8/)
Step-by-step explanation:
The formula is given as:
C.I = μ ± Z*σ/
The upper limit => C.I_u = μ + Z*σ/
The lower limit => C.I_l = μ - Z*σ/
The sample size (n) is not stated in the question. Hence, we calculate the upper limit with respect to n.
The upper limit => C.I_u = 200 + 1.96*(30/)
= 200 + (1.96*30)/
= 200 + 58.8/
The answer is D. i am pretty sure.
What you do is you take the denominator and you divide it into the numerator.
Answer:
The coordinates of D are (8,3)
Step-by-step explanation:
We have quadrilateral ABCD being a parallelogram with coordinates A(3,2), B(5,4), C(10,5), and D(a,b).
We want to find the coordinates of D.
Since ABCD is a parallelogram, the diagonals AC and BD bisects each other.
The midpoint of AC is (13/2,7/2).
This is also the midpoint of BD.
By the midpoint rule:
This implies that:
Similarly,
The coordinates of D are (8,3)