Answer:
30°
Step-by-step explanation:
Law of Sines = 


Therefore, m∠B = 30°
Hope that's right and helps
Answer:
Option A , should not be rejected
Step-by-step explanation:
From the question we are told that:
Sample 1 
Standard deviation 1 
Sample 2 
Standard deviation 2 
Level of confidence 
Generally The Hypothesis are given as


Generally the equation for test Statistics is mathematically given by



Therefore
Critical Value


Where

Therefore


From Table


Therefore

Hence,We fail to reject the Null Hypothesis 
Option A , should not be rejected
Answer:
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Probability that carbon emissions from the company’s factory exceed the permissible level = 35% = 0.35
Accuracy of the test of emissions level = 85% = 0.85
2. The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is?
These two events, carbon emissions from the company’s factory and the accuracy of the test are independent events, therefore:
Probability that carbon emissions from the factory are within the permissible level = 1 - 0.35 = 0.65
Probability that the test predicts the opposite to be true = 0..35 * 0.85 = 0.2975 (The opposite is that the carbon emissions from the company exceed the permissible level)
Probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is:
0.65 * 0.2975 = 0.193375
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place
MARK BRAINLIEST PLS
Answer:
106.1 ft/s
Step-by-step explanation:
You know the diagonal of a square is √2 times the length of one side, so the distance from 3rd to 1st is 90√2 feet ≈ 127.2792 ft.
The speed is the ratio of distance to time:
speed = distance/time = 127.2972 ft/(1.2 s) ≈ 106.1 ft/s.
_____
In case you have never figured or seen the computation of the diagonal of a square (the hypotenuse of an isosceles right triangle), consider the square with side lengths 1. The diagonal will cut the square into halves that are isosceles right triangles with leg lengths 1. Then the Pythagorean theorem can be used to find the diagonal length d:
d² = 1² + 1²
d² = 2
d = √2
Since this is the diagonal for a side length of 1, any other side length will serve as a scale factor for this value. A square with a side length of 90 ft will have a diagonal measuring 90√2 ft.
Answer:
B: Using x and y factor results in an expression of greater value than using x and y as terms.
Step-by-step explanation:
For her first expression, x and y are factors;
xy
For her second expression, x and y are written as terms;
x + y
For x and y are both negative integers, then;
-x * -y = xy ............... 1
-x + (-y) = - x - y
= - (x + y) .............. 2
Therefore, the value of x and y factors is greater than that when x and y are as terms. Thus the correct option is B.