<h2>
Answer with explanation:</h2>
Given : Sample size : n = 36
Significance level for 90% confidence : 
Sample mean : 
Standard deviation : 
By using standard normal table for t-values,
Critical t-value : 
Thus, the correct value of t to construct a 90% confidence interval for the true mean percentage of cacao : 
Confidence interval for population mean :
Hence, A is the correct answer .
Answer:
13. ABCD and DCBA
14. BA and CD
15. AB abd BC
16. The points B and L can be collinear.
Step-by-step explanation:
See the given diagram of a straight line that extends from -∞ to +∞.
13. ABCD and DCBA are the two different names of the line.
14. BA and CD are the names of different opposite rays.
15. AB and BC are the two line segments.
16. The line between points B and L can be drawn separately. So, the points B and L can be collinear. (Answer)
Answer:
5/6
Step-by-step explanation:
There are 24 hours a day and a koala sleeps for 20 hours of it:
20/24
5/6
Answer:
731 and 164 rounded off to the nearest tens is 730 and 160.
the difference is 570
570. rounded off to the nearest hundred is 600
Answer:
Below in bold.
Step-by-step explanation:
A. −16x2 + 24x + 16 = 0
-8(2x2 - 3x - 2) = 0
-8(2x + 1 )(x - 2) = 0
x = -0.5, 2.
So the x-intercepts are (-0/5, 0) and (2, 0).
B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.
To find its coordinates we convert the function to vertex form:
f(x) = −16x2 + 24x + 16
= -16(x^2 - 1.5x) + 16
Completing the square on contents of the parentheses:
= -16 [(x - 0.75)^2 - 0.75^2] + 16
= -16(x - 0.75)^2 - 16 * -0.75^2 + 16
= -16(x - 0.75)^2 + 9 + 16
= -16(x - 0.75)^2 + 25.
So the coordinates of the vertex are (0.75, 25)
