A Medicine Capsule is in the shape of a cylinder of diameter 0.5 cm with two hemi spheres stuck to each of its ends. The length of entire capsule is 2 cm. Find the capacity of capsule.

An ecologist selected a random sample of 30 prairie dogs from a colony and found that the mean mass of the prairie dogs in the sample was 0.94 kilograms (kg) with an associated margin of error of 0.12kg. Which of the following is the best interpretation of the ecologist's findings?

Note:
There are many concepts and definitions used in solving this question. The student must be familiar with mean, sampling, random sample, margin of error and hoe any results derived from the sample relate to the population, to solve this problem correctly.

An ecologist selected a random sample of 30 prairie dogs from a colony and found that the mean mass of the prairie dogs in the sample was 0.94 kilograms (kg) with an associated margin of error of 0.12kg. Which of the following is the best interpretation of the ecologist's findings?

Find the missing values

In the first half of the journey a bus travelled with an average speed of 20 km/hr. If the given average speed for the complete trip made by the bus is 24 km/hr, then calculate the average speed covered by the bus in the second half of the trip.

Shop A and shop B are at an equal distance from shop C. Distances between shops are shown in the diagram. Classify the triangle formed by them based on the sides.

In the given figure ABCD is a rectangle. It consists of a circle and two semi circles each of which are of radius 5 cm. Find the area of the shaded region. Give your answer correct to three significant figures.

Find the missing values

The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. Find the capacity of the bucket.

The front row of an auditorium has 10 seats. There are 50 rows in total. If each row has 2 more seats than the row before it, which expression gives the total number of seats in the last row?

Find the missing values

The table above shows selected values for the function h . In the x y -plane, the graph of y = h(x) h is a line. What is the value of (8) ?

Note:
After finding the equation y = 2x + 3 , we can verify it by putting the third point in the equation and check if it lies on the line, that is, the third point which is $left parenthesis 4 comma 11 right parenthesis$ lies on $y equals h left parenthesis x right parenthesis$
$11 equals 2.4 plus 3$
So, the equation $h left parenthesis x right parenthesis equals 2 x plus 3$ is the graph of $y equals h left parenthesis x right parenthesis$ .

The table above shows selected values for the function h . In the x y -plane, the graph of y = h(x) h is a line. What is the value of (8) ?

A man reaches a spot from his home in 6 hrs by walking, but he can reach the same spot from his home within 2 hrs by cycle. If the given average cycling speed is 7km/hr faster than his average walking speed, then find the average cycling and walking speeds.

Find the area of the following figure:

Given a rectangular room whose width is 4/7 of its length y and perimeter z. Write down an equation connecting y and z. Calculate the length of the rectangular room when the given perimeter is 4400 cm.

A drainage tile is a cylindrical shell 21 cm long. The inside and outside diameters are 4.5 cm and 5.1 cm respectively. What is the volume of the clay required for the tile?