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x - 3y + 6z = 21

3x + 2y - 5z = - 30

2x - 5y + 2z = -6

The sum of values of x

x, y

y, and z

z of the solution is


Calculate the percent yield for the reaction: P4 (s) + 6 Cl2 (g) → 4 PCl3 (l) if 75.0 g of phosphorus reacts with excess chlorine gas to produce 111.0 g of phosphorus trichloride.

How to identify 1934 federal reserve note?

a) As the meteor falls through the atmosphere the gravitational force continues to act on it. Suppose in a given instance the meteor is at a distance of 4000 km from earth. What would be the direction of the force that acts on it at that location?

b) Imagine it has approached near earth and now it is at a distance of 400 km from earth. What will be the direction of the gravitational force now?


When a meteor falls on earth across the earth's atmosphere there acts 3 forces on it. 2 of them are the gravity and the upthrust. Mention the third force.


When a meteor falls on earth across the earth's atmosphere there acts 3 forces on it. 2 of them are the gravity and the upthrust. Mention the third force.


During the pandemic, online ordering of groceries and household supplies was offered by many stores as an accommodation for shoppers who preferred not to visit crowded stores in person. An online grocery shopping service claims that its mean delivery time is less than 120 minutes with a population standard deviation of 30 minutes. A random sample of 49 orders is delivered with a mean of 100 minutes. At the 95% confidence level, is there enough evidence to support the claim? Assume the data are normally distributed. Use the critical value method and respond to the prompts below.


A random sample of 30 households was selected as part of a study on electricity usage, and the number of kilowatt-hours (kWh) was recorded for each household in the sample for the March quarter of 2020. The average usage was found to be 375kWh. In a very large study in the March quarter of the previous year it was found that the standard deviation of the usage was 85kWh. Assuming the standard deviation is unchanged and that the usage is normally distributed provide an expression for calculating a 99% confidence interval for the

mean usage in the March quarter of 2020


⦁ How much of the$100 Million will banks choose to lend out initially? 



⦁ How much of the$100 Million will banks choose to lend out initially? 


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