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In a random sample of 300 patients, 21 experienced nausea. A drug manufacturer claims that fewer than 10% of patients who take its new drug for treating Alzheimer’s disease will experience nausea. Test this claim at the 0.05 significance level. What is the appropriate null hypothesis for this situation

The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400. a. What is the probability of getting more than 12,000 hits?


a school administrator claims that less than 50% of the students of sinapangan national high school are dissatisfied by the community canteen services.the claim by using sample data obtained from a survey of 500 students of the school where 54% indicated their dissatisfaction of the community canteen service.use a=0.05

What is the pH of the solution containing 0.20 M NH3 and 0.15M NH4Cl?


Python Program


Write a program to print the following, Given a word W and pattern P, you need to check whether the pattern matches the given word.The word will only contain letters(can be Uppercase and Lowercase). The pattern can contain letters, ? and *.


? : Can be matched with any single letter.

* : Can be matched with any sequence of letters (including an empty sequence).


If the pattern matches with the given word, print True else False.


Sample Input1

3

Hello *l?

Hell He?ll

Hell ?*

Sample Output1

True

False

True


Sample Input1

3

Hello Hell*

Hell He*ll

Hell hell*

Sample Output1

True

True

False


activity 2 solve the following problems. show all your works. 1 in a study of the life expectancy of 500 people in a certain geographic region, the mean age at death was 720 years, and the standard deviation was 5.3 years. if a sample of 50 people from this region is selected, find the probability that the mean life expectancy will be less than 70 years.

Suppose that lifetimes of light bulbs produced by a certain company are normal random

variables with mean 1000 hours and standard deviation 100 hours. Suppose that

lifetimes of light bulbs produced by a second company are normal random variables

with mean 900 hours and standard deviation 150 hours. A person buys one light bulb

manufactured by the first company and one by the second company. What is the

probability that at least one of them lasts 980 or more hours?


Suppose that lifetimes of light bulbs produced by a certain company are normal random

variables with mean 1000 hours and standard deviation 100 hours. Suppose that

lifetimes of light bulbs produced by a second company are normal random variables

with mean 900 hours and standard deviation 150 hours. A person buys one light bulb

manufactured by the first company and one by the second company. What is the

probability that at least one of them lasts 980 or more hours?


Q1: A power cycle capable of delivering a power output of 410 kJ for an energy input by heat transfer of 1000 kJ. The system undergoing the cycle receives the heat transfer from hot gases at a temperature of 500 K and discharges energy by heat transfer to the atmosphere at 27 °C. Evaluate: l amount of heat released from the system and thermal efficiency. 2 the efficiency if the system operates in Carnot cycle. 3 draw the schematic diagram of the system.

Given the Equation 6K + B2O3. 3K2O + 2B


How many grams of K2O will be produced whe you react one 3.5 g of B2O3

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