Answer:
Option a is right
Step-by-step explanation:
Given that as part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at random concerning their monthly credit card balance.
Sample average = 2573
Variance = 4252
Sample size = 35
STd deviation of X =
Score of student selected at random X=1700
Corresponding Z score =
Rounding of we get Z score = -13.4
option a is right
Answer:
A ≈ 119.7°, b ≈ 25.7, C ≈ 24.3°
Step-by-step explanation:
A suitable app or calculator does this easily. (Since you're asking here, you're obviously not unwilling to use technology to help.)
_____
Given two sides and the included angle, the Law of Cosines can help you find the third side.
... b² = a² + c² - 2ac·cos(B)
... b² = 38² + 18² -2·38·18·cos(36°) ≈ 661.26475
... b ≈ 25.715
Then the Law of Sines can help you find the other angles. It can work well to find the smaller angle first (the one opposite the shortest side). That way, you can tell if the larger angle is obtuse or acute.
... sin(C)/c = sin(B)/b
... C = arcsin(c/b·sin(B)) ≈ 24.29515°
This angle and angle B add to less than 90°, so the remaining angle is obtuse. (∠A can also be found as 180° - ∠B - ∠C.)
... A = arcsin(a/b·sin(B)) ≈ 119.70485°
Answer: The ratio of the total cost of the party in 2007 to the total cost of the party in 2008 = 1: 4
Step-by-step explanation:
It is given that Kyle's birthday party in 2007 cost $d$ dollars per person and $p$ people attended.
Then , the total cost of the party = Cost per person x Number of people attended.
For 2007, Total cost = d x p = dp (1)
In 2008, the cost per person doubled and the number of people attending the party also doubled.
i.e. Cost per person = 2d
Number of people attended = 2p
For 2008, Total cost = 2d x 2p = 4dp (2)
From (1) and (2) , the ratio of the total cost of the party in 2007 to the total cost of the party in 2008 will be :
Cancel pd from the numerator and the denominator , we get
Hence, the ratio of the total cost of the party in 2007 to the total cost of the party in 2008 = 1: 4