Answer:
-38.2
Step-by-step explanation:
Answer:
B. Correct decision
Step-by-step explanation:
We know that the average math SAT score of students at the school has changed from the 1991 mean of 465. That is μ≠465.
This hypothesis was tested and the null hypothesis, that states that the average math SAT score of students at the school has not changed from the 1991 mean, was rejected.
Then, the conclusion of rejecting the null hypothesis is right, as μ=465 is false.
Answer:
B = (-1, 0)
C = (1, 0)
Step-by-step explanation:
<u>Properties of an Equilateral Triangle</u>
- Three sides of <u>equal length</u>
- All interior angles are 60°
<u>Given</u>:
- ΔABC is an equilateral triangle
- Vertex A is at (0, √3)
Drawing an altitude from vertex A divides the triangle into two 30-60-90 triangles.
A 30-60-90 triangle is <u>special right-angled triangle</u> where:
- Angles are in the ratio 1 : 2 : 3
- Sides are in the ratio 1 : √3 : 2
Therefore, the formula for the sides is: b : b√3 : 2b, where:
- b = shortest side opposite the 30° angle
- b√3 = side opposite the 60° angle
- 2b = longest side (hypotenuse) is opposite the right angle
As Vertex A has the co-ordinates (0, √3), the <u>side opposite the 60° angle</u> is √3 units.
Using the ratios to find b (shortest side length):
b√3 = √3 ⇒ b = 1
As the altitude divides BC into two equal line segments, and the length of the shortest side of the right triangles is 1 unit, the coordinates of B are C are:
Learn more about the 30-60-90 triangle here:
brainly.com/question/27942542
brainly.com/question/27976403
The answer is the transitive property
Answer:
The first four terms are;
w(x)= 4 + 2x² - ⁵/₆x⁴+ ¹¹/₃₆x⁶ +......
Step-by-step Explanation:
This is the interpretation of the question
w″ + 3xw′ -w=0
W(0)=4
W′(0)=0
CHECK THE ATTACHMENT FOR STEP BY STEP EXPLANATION