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The mechanical power output of a cyclist moving at a constant speed of 5.90 m/s on a level road is 105 W.

 

By bending low over the handlebars, the cyclist reduces the air resistance to 18.0 N. If she maintains a power output of 105 W, what will her speed be?



Suppose A and B are mutually exclusive events defined on the same sample space such that 𝑃(𝐴)=0.37 and 𝑃(𝐵)=𝑐.

Question 11

What is the maximum value of 𝑐?

Question 12

What is 𝑃(𝐴|𝐵)?


In a batch of 15 jars of instant coffee, 5 have been under filled. Suppose 6 of these jars are selected without replacement. If more than 1 of these selected jars are under filled, the whole batch is sent back for refill. What is the probability of the batch being sent back for refill? (Round off to 2 decimal places.)

Two-tailed test, o? is known, a= 0.05, n= 45


What is the value resulting from subtracting the maximum error from the sample mean?

Calculate the mass of solute in a 10% if the mass of solution is 350 grams




A number is called a happy number, if you start with the given number and arrive at 1 by repeating the following process (as illustrated in the below example): (a) compute the sum of the squares of given number digits (b) if the resultant value is 1, then the number is happy number, else execute point (a) for the newly produced number. Note that if a number is not a happy number, there will be an endless loop to this execution. Goal: In this question, you are required to write a recursive function that checks whether the number entered by the user is a happy number or not for 10 cycles/iterations only. The output shown in blue colour should be shown by the function and text in yellow colour should be displayed by the main function.



what is the sample space if roll two dice let X be the random variable


In a batch of 15 jars of instant coffee, 5 have been under filled. Suppose 6 of these jars are selected without replacement. If more than 1 of these selected jars are under filled, the whole batch is sent back for refill. What is the probability of the batch being sent back for refill?



Determine how many moles of O2 are required to react completely with 4.8 mol

mol of C4H10.



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