Graph the feasible region for the system of inequalities.   4x+y≤3 x-y>3

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 7.2 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 290 engines and the mean pressure was 7.3 pounds/square inch. Assume the standard deviation is known to be 0.6. A level of significance of 0.02 will be used. Determine the decision rule. Enter the decision rule.

The mayor of a town believes that more than 72% of the residents favor construction of an adjoining community. Is there sufficient evidence at the 0.05level to support the mayor's claim?   State the null and alternative hypotheses for the above scenario.

Suppose you sample one value from a uniform distribution with a = 0 and b=20. a. What is the probability that the value will be between 12 and 172 b. What is the probability that the value will be between 4 and 72 c. What is the mean? d. What is the standard deviation? a. The probability that the value will be between 12 and 17 is (Type an integer or a decimal)

can you explain three outpots of coNNNNONication martris model with some examples ?

Discuss what we mean by multipole moments.

Only typed explanation otherwise leave it

A certain reagent is created to test for an infectious disease. The test has anaccuracy rate of p = 90%, and the accuracy does not depend on whether or not thepatient is actually infected. a. If four people are tested for the disease, what is the probability that at leastthree of them receive accurate test results? b. In an area where q = 5% of people are infected, a man’s test result ispositive. What is probability that it is a false positive (which means that he is notinfected but the test is positive due to inaccuracy)?   *please solve for a-b, type or neatly  write your answers on paper, NO EXCEL* thank you !

4. ABC Dog Food Company located in Ottawa sells large bags of dog food to warehouse clubs. ABC uses an automatic filling process to fill the bags. Weights of the filled bags are approximately normally distributed with a mean of 50 kilograms and a standard deviation of 1.25 kilograms. (a) What is the probability that a filled bag will weigh less than 49.5 kilograms? (b) What is the probability that a randomly sampled filled bag will weigh between 48.5 and 51 kilograms? (c) What is the minimum weight a bag of dog food could be and remain in the top 15% of all bags filled? (d) ABC is unable to adjust the mean of the filling process. However, it is able to adjust the standard deviation of the filling process. What would the standard deviation need to be so that 2% of all filled bags weigh more than 52 kilograms?

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