Answer:

Step-by-step explanation:
Given the mean is 3.2, standard deviation is 0.8 and the sample size is 64.
-We calculate the probability of a mean of 3.4 as follows:
#First determine the z-value:

#We then determine the corresponding probability on the z tables:

Hence, the probability of obtaining a sample mean this large or larger is 0.0228
<h2><u>Solution</u>:-</h2>
• Surface area of a cylinder = 2πr(r + h) sq. units.
In the above diagram,
Radius (r) of the cylinder = 13 cm.
Height (h) of the cylinder = 39 cm.
<h3>• Taking value of π = 3.14</h3>
Hence, Surface area of the cylinder = 2 × 3.14 × 13(13 + 39)
Surface area of the cylinder = (81.64 × 52) cm²
Surface area of the cylinder = 4245.28 cm²
The surface area of the cylinder is <u>4</u><u>2</u><u>4</u><u>5</u><u>.</u><u>2</u><u>8</u><u> </u><u>cm²</u>. [Answer]
pi·18.6^2·123°/360° - 1/2·18.6^2·SIN(123°) = 226.3
<u>Given</u>:
The height of the bird at time t is given by the function 
We need to determine the time it takes the worm to be eaten by the bird.
<u>Time taken:</u>
The time can be determined by substituting h(t) = 0 in the function.
Thus, we have;

Switch sides, we get;

Let us solve the equation using the quadratic formula.
Thus, we get;

Simplifying, we get;



The values of t are given by
and 
and 
and 
Since, the value of t cannot be negative, then 
Thus, the time taken by the bird to eat the worm is
seconds.
Hence, Option B is the correct answer.