Answer: The value of test statistic = -10.67
Step-by-step explanation:
Test statistic for proportion:

, where p= population proportion
n= sample size
= sample proportion
AS per given,
p=0.94, n= 1004, 

i.e. the value of test statistic = -10.67
Answer:
C. 6.736
Step-by-step explanation:
The unmarked angle is 180-80-40 = 60 degrees. Given the angles of the triangle and one side length there is enough information to use the Law of Sines to solve the triangle--eliminating choice D.
The angle opposite x is larger than the angle opposite 5, so <em>x will be larger than 5</em>. That leaves only answer choice C: 6.736.
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If you want to actually use the law of sines to determine x, you know that ...
x / sin(60°) = 5 / sin(40°)
x = 5·sin(60°)/sin(40°) . . . . . . multiply by sin(60°)
x ≈ 6.736
By using an online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
<h3>How to graph a system of inequalities?</h3>
An inequality is a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
- Less than or equal to (≤).
- Greater than or equal to (≥).
Given the following system of inequalities:
y ≤ 1/3x ⇒ y - 1/3x ≤ 0
y - 2x < 4
By using an online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
Read more on inequalities here: brainly.com/question/24372553
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<u>Complete Question:</u>
Graph the following system of inequalities.
y ≤ 1/3x and y - 2x < 4
Answer:
the answer is A
Step-by-step explanation:
(9x2 + 10x +4) - (9x2 + 5x -1)
(22+10x) - (17+5x)
5x+5
you can use the value of sin\
sin(theta) = 12/16
Now solve for theta, and do inverse sine
so theta would be 48.59037789
, or around 50 degrees