Sunday, October 25, 2020

Weekly Math Problem! #25

Basic Probability. I believe this is the first probability problem I'm doing on the blog. I've had a love/hate relationship with probability in the past. Like a lot of other things in life, repetition helped over the years.Let's not talk about Probability Theory😣 When I was learning it, my brain took a long while to grasp it. When that course was over, I breathed a sigh of relief. Some things really do take time. In the the case of my brain and probability theory, it was taking more time than the semester would allow. 😅

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️ How to use basic probability formulas

Yeah, that's it. Here is WMP! #25:


Happy solving!

Check back on Friday, October 30th for the solution, which will be posted below ⬇️.

Shameless plug: Follow me on Instagram @TheYoungeLady


✏️📓 Solution Time! 📓✏️
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Well, once you get the correct formulas, you just need to make sure that you put the given values in the correct places in the formulas. (I can't tell you how many times I've seen that kind of mistake.) Here's how I worked out the questions:


Notice in part (iv), I gave an explanation why the events are independent, even though the question didn't ask, "why or why not?" It's not a coincidence that the answer from part (iv) is the same as the answer from part (i). When events are independent, one has no effect on the other. So, the probability of both events occurring is the same as multiplying their individual probabilities. Read more about independent events from MathisFun's page, Probability: Independent Events
 
▪️ Did you find these problems easy to solve??
▪️ How do you feel about probability??
▪️ Comment below with your responses and let me know what you thought about this week's problem.

Thanks for solving with me this week!
See you next week for WMP! #26
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Cheers!

The Younge Lady

Sunday, October 18, 2020

Weekly Math Problem! #24

Trigonometric Equation. The last time I had a trigonometric equation on here was back in June, WMP! #8. (Be sure to check it out. 😉)  That trig equation didn't have any of the functions squared. This week's problems involves a squared function and a function with a double angle. I know, I know... Why, Lori?! Because it looked fun to solve. 🤓

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️ Double angle formulas
        ✔️ How to solve quadratic equations
        ✔️ How to isolate the angle in a trigonometric function

By the way, you'll definitely need at least a scientific calculator for this one. Here is WMP! #24:


Happy solving!

Check back on Friday, October 23rd for the solution, which will be posted below ⬇️.

Shameless plug: Follow me on Instagram @TheYoungeLady


✏️📓 Solution Time! 📓✏️
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This problem is a quadratic trigonometric equation. What makes it "difficult" to solve is the trigonometric function with the double angle. How do we deal with that? Use a double angle formula to replace it in the equation. Let me show you...


                                                                       

As you can see, switching out the double angle trigonometric function for an equivalent one helped a great deal. It allowed for the original equation to be reduced to a simpler quadratic equation that could be solved with ease...and a calculator...lol 😅.
 
▪️ Did you use the same double angle formula I used to solve?? 
▪️ Comment below with your responses and let me know what you thought about this week's problem.

Thanks for solving with me this week!
See you next week for WMP! #25
👍🏿


Cheers!

The Younge Lady

Sunday, October 4, 2020

Weekly Math Problem! #23

Radical Equation. The last time I had a radical equation on here was back in February, when I showed a sample WMP! It's time for another one, so here we go.

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️ How to deal with radical equations
        ✔️ How to solve quadratic equations
        ✔️ How to solve linear equations
        ✔️ How to substitute values for checking potential solutions

WMP! #23 says:


Happy solving!

Check back on Friday, October 9th for the solution, which will be posted below ⬇️.

Shameless plug: Follow me on Instagram @TheYoungeLady


✏️📓 Solution Time! 📓✏️
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I did a similar problem type when I posted my WMP! Sample Edition problem back in February. This time, the radical equation involved a square root within a square root. Here's my solution:





As you can see, this problem yielded one extraneous solution and one valid solution.  
 
▪️ How do you feel when you saw this problem?? 
▪️ Comment below with your responses and let me know what you thought about this week's problem.

Thanks for solving with me this week!
See you next week for WMP! #24
👍🏿


Cheers!
The Younge Lady

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