Answer:
The value of test statistic is 1.338
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 16.000
Sample mean, 
= 16.218
Sample size, n = 22
Alpha, α = 0.05
Sample standard deviation, s = 0.764
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Thus, the value of test statistic is 1.338
Answer:
<h3>Q 17</h3>
a is supplementary with 36 and b is supplementary with 113.
- a = 180 - 36 = 144
- b = 180 - 113 = 67
Correct choice is D
<h3>Q 2</h3>
- LM = 1/2(AB + DC) = 1/2(46 + 125) = 85.5
<h3>Q 3</h3>
Diagonals of a rectangle are congruent
- KM = LN
- 6x + 16 = 49
- 6x = 33
- x = 33/6
- x = 5.5
Correct choice is A
Answer:
x^4+64 = x^2 -4x+8 * x^2 +4x+8
Step-by-step explanation:
Answer:
The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A
Step-by-step explanation:
The form of the equation of the circle is (x - h)² + (y - k)² = r², where
- r is the radius of the circle
- h, k are the coordinates of the center of the circle
Let us solve the question
∵ The center of the circle is at (2, -5)
→ From the rule above
∴ h = 2 and k = -5
∵ The radius of the circle is 12
∴ r = 12
→ Substitute the values of r, h, and k in the form of the equation above
∵ (x - 2)² + (y - -5)² = (12)²
∴ (x - 2)² + (y + 5)² = 144
∴ The equation of the circle is (x - 2)² + (y + 5)² = 144
Answer:
1700 books
Step-by-step explanation:
We are given;
- % of non-fiction books in the library as 28%
- Number of fiction books in the library as 1,224 books
We are required to determine the total number of books.
First we determine the percentage of non-fiction books
We need to know that;
% of fiction books + % of non-fiction books = 100%
Therefore;
% of non-fiction books = 100 % - 28 %
= 72%
Second we determine the total number of books
We know that;
Total number of books = 100%
But;
72% = 1,224 books
Therefore;
Total number of books = (1,224 × 100%) ÷ 72%
= 1700 books
Hence, the library has a total number of 1700 books
