"Mark ran a mean distance of 13.2km in 5 days"

Is this badly worded?

Yes! I'm assuming it means he ran a total of T km in 5 days and his mean daily distance was 13.2 km. Work out T.

Without the word 'daily' it could mean all sorts of things. Maybe that's his hourly rate! (OK that's unlikely for a runner but math questions need to be worded clearly.)

Maybe the terrain was very rough and the temperature very hot and so the questioner thought it was mean for the organisers to set such a challenge.

Bob

]]>Sometimes the results might be presented differently, yet be equal.

]]>`(a + b - c)^2 = a^2 + b^2 + c^2 + 2ab - 2ac - 2bc`

`\text{gives this.}`

.

`(a - b + c)^2 = a^2 + b^2 + c^2 - 2ab + 2ac - 2bc`

`\text{gives this.}`

`(a - b - c)^2 = a^2 + b^2 + c^2 - 2ab - 2ac + 2bc`

`\text{gives this.}`

]]>

Any other ideas?

Thanks,

woodturner550

Welcome to the forum.

Also you may post questions here for help.

Bob

]]>I was taught deductive logic and has served me well, but I am not in the teaching field.

"One problem with people with deductive logic understanding, they are harder to lead. Isn't that a good thing rather than a problem." That depends on the government. Do they just want people who will work as a cog in their wealth and power generating system or do they want clear thinking people to be able to live their best lives.]]>

8÷2(2+2)=?

Not 8÷(2(2+2))=?

So I think there's only one interpretation.

Do the bracket first 8÷2(4)=?

Put in the missing multiplication sign

8÷2x4

Then evaluate in order

4 x 4 = 16

Wolfram Alpha agrees with this.

Bob

ps. rules such as PEMDAS, BODMAS etc are unclear that multiplication and division have equal status.

So 21 x 3 ÷ 7 and 21 ÷ 7 x 3 are the same.

]]>They mean the same. In number theory, division is defined as the inverse operation to muliplication.

So if a times b = c then c divided by b is a.

This is why division by zero has no meaning. [a times 0 = 0 for all a, so if we tried to calculate 0 / 0 we'd get a where a can be anything] and [ x / 0 would mean what number must we multiply 0 by, to get x as our answer. This cannot be answered.]

So an example would be what number when doubled gives 10 ? x times 2 gives 10 can then be re-written as x = 10 / 2

Bob

]]>Welcome to the forum.

Sadly this forum is being effected increasingly by AI generated text. Your post acheived this result:

98% Probability AI generated

So we have two possibilities:

You're a robot and I'll ignore your post;

You're a human with a genuine request. If the latter I apologise for suspecting you of being a robot.

If you want specific help then post a question. What you have posted so far is way to vague I'm afraid.

Bob

]]>Naturally, this helped me be an independent professional designer in electronics (hardware and software), right after finishing my high studies. Since then, I design and produce various electronic controllers which are needed by the local consumers in every period of time.

This is how I was able to gain my daily bread (and of my few assistants) while working independently.

(Please note that working independently may not be possible for engineers living in some other countries).

Kerim

]]>We want /x^2 so factorise on the left and also take the 4 across to the RHS

Divide by x^2 and add 3

Bob

Thanks, Bob.

That's the way I did it, but MathsGenie did it as follows;

Added 3x^2 to both sides

Added 4 to both sides

Then divided both sides by x^2