Math Answers

b) A researcher reports that the average salary of assistant professors is more than £42,000. A sample of 30 assistant professors has a mean salary of £43,260 at a = 0.05, test the claim that assistant professors earn more than £42,000 per year. The standard deviation of the population is £ 5,230.

If a frog can hop 48 feet in 4 seconds,how many feet can hop per second?

You are getting engaged and your fiancée has hidden the engagement ring. If only one
statement is true, determine which statement is true? Where is the ring?
Statement 1: The ring is in this box --->A
Statement 2: The ring is not in this box --->B
Statement 3: The ring is not in box A --->C

Suppose that you need to deliver the message “161803398” which is the pass key for a weapon
activation to country X. Encrypt the message using Caesar cipher with the encryption key,
(n + 2^2 )mod9 where n =1, 2,...,9 , without being intercepted and decrypted by other countries.
(a) State the decrypted message.
(b) Determine the decryption key.
(c) Suggest an improvement to the encryption key to increase the encryption strength.

The Mental Development Index (MDI) for infant development is a standardized measure used in longitudinal

follow-up of high risk infants. The MDI scores are known to be normally distributed with mean 100 and variance
256. For a study of infants, a random sample of size 400 is selected.

Consider the graph G0 with 3 components which are triangles. G0 has 9 vertices labeled A to I and 9 edges (A, B), (B, C) … as shown below.
If each vertex of G0 is assigned a red or a green color, then we say that an edge is colored if its ends have different colors.
Ajai and Rekha color the vertices of G0 in the following manner. Ajai proposes a color (red or green) and Rekha chooses the vertex to apply this color. After 9 turns, all the vertices of G0 are colored and the number of colored edges is counted.
Suppose Ajai would like to maximize the number of colored edges while Rekha would like to minimize the number of colored edges. Assuming optimal play from both players, how many edges will be colored? Explain your reasoning.

The Raid test kitchen. According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers for S. C. Johnson & Son, Inc. (manufacturers of Raid® and Off®), 5,000 roaches (the expected number in a roach-infested house) were released in the Raid test kitchen. One week later, the kitchen was fumigated and 16,298 dead roaches were counted, a gain of 11,298 roaches for the 1-week period. Assume that none of the original roaches died during the 1-week period and that the standard deviation of x, the number of roaches produced per roach in a 1-week period, is 1.5. Use the number of roaches produced by the sample of 5,000 roaches to find a 95% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house.

The Nile river is 6690 kilometers long. This is 394 kilometers longer than the Amazon River.How long is the Amazon River?

m=5y-intercept=8

Study of sea turtles.research shows the shell Lengths have a distribution with a mean of 50cm and a standard dev of 10cm.in the study n76 turtles where captured the mean length for the sample was 55.5cm.how likely is it to observe a sample mean of 55.5cm or larger?