Date: 10/10/2015 22:06:29
From: Bubblecar
ID: 786507
Subject: Can YOU solve the maths problem Scottish schoolkids couldn't?
Can YOU solve the maths problem Scottish schoolkids couldn’t? Exam question slammed as being far too difficult
A complex question about a crocodile stalking its prey has baffled Scottish schoolchildren.
The complex question formed part of a new look Higher maths exam sat by 16 year olds for the first time this year.
However, the test was so tough examiners were forced to cut the pass mark to just 34%.
Read more: http://www.dailymail.co.uk/sciencetech/article-3266828/Can-solve-maths-problem-Scottish-schoolkids-couldn-t-Exam-question-slammed-far-difficult.html#ixzz3o7f9ptyP

Date: 10/10/2015 22:13:29
From: sibeen
ID: 786509
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
I’d give it a go.
Actually, you are required to do a bit of simple calculus in that. I’d do what I normally do and throw that into mathcad to get the derivative and then solve that for when the equation is 0 and Bob from Black Rock is your uncle.
Date: 10/10/2015 22:13:44
From: sibeen
ID: 786510
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Oooh, it is an ugly little first derivative.
Date: 10/10/2015 22:19:21
From: sibeen
ID: 786511
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Bubblecar said:
Can YOU solve the maths problem Scottish schoolkids couldn’t? Exam question slammed as being far too difficult
A complex question about a crocodile stalking its prey has baffled Scottish schoolchildren.
The complex question formed part of a new look Higher maths exam sat by 16 year olds for the first time this year.
However, the test was so tough examiners were forced to cut the pass mark to just 34%.
Read more: http://www.dailymail.co.uk/sciencetech/article-3266828/Can-solve-maths-problem-Scottish-schoolkids-couldn-t-Exam-question-slammed-far-difficult.html#ixzz3o7f9ptyP

1) 10.4 seconds
2) 11 seconds
3) 8 seconds
Date: 10/10/2015 22:23:54
From: sibeen
ID: 786512
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
sibeen said:
Bubblecar said:
Can YOU solve the maths problem Scottish schoolkids couldn’t? Exam question slammed as being far too difficult
A complex question about a crocodile stalking its prey has baffled Scottish schoolchildren.
The complex question formed part of a new look Higher maths exam sat by 16 year olds for the first time this year.
However, the test was so tough examiners were forced to cut the pass mark to just 34%.
Read more: http://www.dailymail.co.uk/sciencetech/article-3266828/Can-solve-maths-problem-Scottish-schoolkids-couldn-t-Exam-question-slammed-far-difficult.html#ixzz3o7f9ptyP

1) 10.4 seconds
2) 11 seconds
3) 8 seconds
…and cannot read the question correctly.
3) 8 seconds is correct, but that’s not what it asked. The correct answer is x = 9.8 metres.
boofhead
Date: 10/10/2015 22:41:44
From: diddly-squat
ID: 786515
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Part A is basic algebra
Part B is basic calculus
Part C is a bit trickier…
T= 5 (x^2+36)^½ + 4(20-x)
dT(x)/dx = 5 ½ (x^2+36)^(-1/2) (2x) + 4 (-1)
dT(x)/dx = 5x (x^2+36)^(-1/2) -4
Solve for dT(x)/dx=0
0 = 5x (x^2+36)^(-1/2) -4
4 = 5x (x^2+36)^(-1/2)
(x^2+36)^½ = 5/4 x
x^2+36 = 25/16 x^2
36 = 25/16 x^2 – x^2
36 = (25/16 -1) x^2
36 = (9/16) x^2
(36)(16/9) = x^2
64 = x^2
8 = x
The cute bit is that the examiners were nice enough to make it all work using only intergers… If it were me, I’d be surding it up…
Date: 10/10/2015 22:41:45
From: sibeen
ID: 786516
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Actually, the first two parts of this are piss easy.
The third part is easy if you get your derivative correct, which I’ll admit is a tad trickier, and why I cheat and use mathcad :)
Date: 10/10/2015 22:42:26
From: diddly-squat
ID: 786517
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
sibeen said:
Actually, the first two parts of this are piss easy.
The third part is easy if you get your derivative correct, which I’ll admit is a tad trickier, and why I cheat and use mathcad :)
Nice try dad…
Date: 10/10/2015 22:44:05
From: sibeen
ID: 786518
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
diddly-squat said:
sibeen said:
Actually, the first two parts of this are piss easy.
The third part is easy if you get your derivative correct, which I’ll admit is a tad trickier, and why I cheat and use mathcad :)
Nice try dad…
One bloody second!
…and get the hell off my lawn!
Date: 10/10/2015 22:46:11
From: sibeen
ID: 786520
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
sibeen said:
sibeen said:
Bubblecar said:
Can YOU solve the maths problem Scottish schoolkids couldn’t? Exam question slammed as being far too difficult
A complex question about a crocodile stalking its prey has baffled Scottish schoolchildren.
The complex question formed part of a new look Higher maths exam sat by 16 year olds for the first time this year.
However, the test was so tough examiners were forced to cut the pass mark to just 34%.
Read more: http://www.dailymail.co.uk/sciencetech/article-3266828/Can-solve-maths-problem-Scottish-schoolkids-couldn-t-Exam-question-slammed-far-difficult.html#ixzz3o7f9ptyP

1) 10.4 seconds
2) 11 seconds
3) 8 seconds
…and cannot read the question correctly.
3) 8 seconds is correct, but that’s not what it asked. The correct answer is x = 9.8 metres.
boofhead
extra boofhead
8 metres is correct for x, which then takes 9.8 seconds.
makes drinky drinky motion
Date: 10/10/2015 22:47:20
From: sibeen
ID: 786521
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
diddly-squat said:
If it were me, I’d be surding it up…
Yeah, but you’re a prick :)
Date: 10/10/2015 22:48:44
From: diddly-squat
ID: 786522
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Date: 10/10/2015 22:49:13
From: diddly-squat
ID: 786523
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
sibeen said:
diddly-squat said:
If it were me, I’d be surding it up…
Yeah, but you’re a prick :)
And set the angles in radians
Date: 10/10/2015 22:52:14
From: tauto
ID: 786524
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
I vaguely remember such posers in 3 unit maths, but now realise that their application is very limited in the world outside maths.
Date: 10/10/2015 22:52:46
From: diddly-squat
ID: 786525
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
The examiners should have made the students find the second derivative to prove T’‘(8)>0
;)
Date: 10/10/2015 22:55:37
From: diddly-squat
ID: 786527
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
tauto said:
I vaguely remember such posers in 3 unit maths, but now realise that their application is very limited in the world outside maths.
Um… no… Derivatives are truely the most useful bit of calculus
Date: 10/10/2015 23:07:57
From: tauto
ID: 786529
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
diddly-squat said:
tauto said:
I vaguely remember such posers in 3 unit maths, but now realise that their application is very limited in the world outside maths.
Um… no… Derivatives are truely the most useful bit of calculus
—-
Not when it comes to predicting the stock market.
Date: 10/10/2015 23:08:50
From: Michael V
ID: 786530
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
diddly-squat said:
tauto said:
I vaguely remember such posers in 3 unit maths, but now realise that their application is very limited in the world outside maths.
Um… no… Derivatives are truely the most useful bit of calculus
Yes.
Date: 10/10/2015 23:09:32
From: Michael V
ID: 786531
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
tauto said:
diddly-squat said:
tauto said:
I vaguely remember such posers in 3 unit maths, but now realise that their application is very limited in the world outside maths.
Um… no… Derivatives are truely the most useful bit of calculus
—-
Not when it comes to predicting the stock market.
Is the meaning of the word quite the same?
Date: 10/10/2015 23:12:23
From: sibeen
ID: 786532
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Michael V said:
tauto said:
diddly-squat said:
Um… no… Derivatives are truely the most useful bit of calculus
—-
Not when it comes to predicting the stock market.
Is the meaning of the word quite the same?
No :)
Date: 11/10/2015 08:55:46
From: The Rev Dodgson
ID: 786608
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Bubblecar said:
Can YOU solve the maths problem Scottish schoolkids couldn’t? Exam question slammed as being far too difficult
A complex question about a crocodile stalking its prey has baffled Scottish schoolchildren.
The complex question formed part of a new look Higher maths exam sat by 16 year olds for the first time this year.
However, the test was so tough examiners were forced to cut the pass mark to just 34%.
Read more: http://www.dailymail.co.uk/sciencetech/article-3266828/Can-solve-maths-problem-Scottish-schoolkids-couldn-t-Exam-question-slammed-far-difficult.html#ixzz3o7f9ptyP

Haven’t read other replies.
Assuming that they are allowed to use calculators and not required to show working it’s fairly easy to find that the optimum x is 8 m.
If they are required to work it out with calculus, I agree it’s a bit hard for a 16 year old.
Date: 11/10/2015 09:01:51
From: The Rev Dodgson
ID: 786609
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Actually both sibeen and d-s have missed the real engineer’s way of doing it.
Trial and error on a spreadsheet.
Date: 11/10/2015 09:27:28
From: kii
ID: 786619
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Hmm…..I know why the Scottish school kids couldn’t understand the crocodile/zebra problem!
There are no crocodiles and zebras in Scotland, so how can they even begin to understand what’s going on? This is supported by the report “… from the principal assessor in maths, also said another question, about the time it took a frog and a toad to escape from a well, apparently ‘met expectations’.” Scottish kids know what frogs and toads are, so…..derrrr :P
Date: 11/10/2015 09:30:52
From: kii
ID: 786623
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
(I sucked at maths in high school…probably due to an older brother being a brilliant genius maths student who stumped the teachers with his ability to solve problems in unique ways.)
Date: 11/10/2015 09:36:23
From: Teleost
ID: 786626
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
This is the reason I hated maths at school. Stupid non real world applications.
The correct answer is that crocodiles can’t do mathematics and mathematicians know sweet fuck all about crocodile behaviour.
The crocodile will watch the zebra coming down to drink at the edge every day for two weeks. It will slowly work its way to where the zebra comes every day and then sit there a little longer only a metre of so from the zebra during its drinking time for a few more days. Then, when the zebra thinks that the crocodile has got bored and gone elsewhere and has a drink, the croc will lunge out of the water and take it down.
Date: 11/10/2015 09:47:01
From: ChrispenEvan
ID: 786628
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
i would say, if you looked at it logically, the croc, being an ambush predator, would stick to the water and let the zebra come to it.
this is what i said in chat last night, so i agree teleost. but nobodies interested in logic around here.
;-)
Date: 11/10/2015 09:51:18
From: kii
ID: 786631
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
ChrispenEvan said:
i would say, if you looked at it logically, the croc, being an ambush predator, would stick to the water and let the zebra come to it.
this is what i said in chat last night, so i agree teleost. but nobodies interested in logic around here.
;-)
Yep, perfect answer based on my years of observing crocs and zebras on nature shows.
Date: 11/10/2015 09:54:58
From: ChrispenEvan
ID: 786632
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
maths people, they be…

Date: 11/10/2015 09:58:59
From: dv
ID: 786636
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Bubblecar said:
Can YOU solve the maths problem Scottish schoolkids couldn’t? Exam question slammed as being far too difficult
A complex question about a crocodile stalking its prey has baffled Scottish schoolchildren.
The complex question formed part of a new look Higher maths exam sat by 16 year olds for the first time this year.
However, the test was so tough examiners were forced to cut the pass mark to just 34%.
Read more: http://www.dailymail.co.uk/sciencetech/article-3266828/Can-solve-maths-problem-Scottish-schoolkids-couldn-t-Exam-question-slammed-far-difficult.html#ixzz3o7f9ptyP

I think it is pretty straightforward.
Date: 11/10/2015 10:00:43
From: Michael V
ID: 786637
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
ChrispenEvan said:
maths people, they be…

I’ve always loved that Michael Leunig cartoon.
:)
Date: 11/10/2015 10:28:55
From: The Rev Dodgson
ID: 786653
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
dv said:
Bubblecar said:
Can YOU solve the maths problem Scottish schoolkids couldn’t? Exam question slammed as being far too difficult
A complex question about a crocodile stalking its prey has baffled Scottish schoolchildren.
The complex question formed part of a new look Higher maths exam sat by 16 year olds for the first time this year.
However, the test was so tough examiners were forced to cut the pass mark to just 34%.
Read more: http://www.dailymail.co.uk/sciencetech/article-3266828/Can-solve-maths-problem-Scottish-schoolkids-couldn-t-Exam-question-slammed-far-difficult.html#ixzz3o7f9ptyP

I think it is pretty straightforward.
OK, but:
1) Would you have found it pretty straightforward at age 16?
2) Even if you did, how many of your fellow 16 year olds would have?
Date: 11/10/2015 10:45:13
From: dv
ID: 786667
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
The Rev Dodgson said:
dv said:
Bubblecar said:
Can YOU solve the maths problem Scottish schoolkids couldn’t? Exam question slammed as being far too difficult
A complex question about a crocodile stalking its prey has baffled Scottish schoolchildren.
The complex question formed part of a new look Higher maths exam sat by 16 year olds for the first time this year.
However, the test was so tough examiners were forced to cut the pass mark to just 34%.
Read more: http://www.dailymail.co.uk/sciencetech/article-3266828/Can-solve-maths-problem-Scottish-schoolkids-couldn-t-Exam-question-slammed-far-difficult.html#ixzz3o7f9ptyP

I think it is pretty straightforward.
OK, but:
1) Would you have found it pretty straightforward at age 16?
2) Even if you did, how many of your fellow 16 year olds would have?
yes
few
Date: 11/10/2015 10:47:29
From: CrazyNeutrino
ID: 786672
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
There is no way I would have solved that problem at 16
Date: 11/10/2015 11:04:52
From: Arts
ID: 786684
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
crocs don’t hunt for food on land.. they are better in the water and will stay there and ambush the zebra when it goes to the waters edge.
Date: 11/10/2015 14:56:31
From: buffy
ID: 786792
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
CrazyNeutrino said:
There is no way I would have solved that problem at 16
I don’t think we’d actually started to cover calculus by fourth form (I was 16 in fourth form, now known as Year 10). I reckon that was 5th and 6th form stuff. But I really can’t remember.
Date: 11/10/2015 15:13:06
From: sibeen
ID: 786797
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
buffy said:
CrazyNeutrino said:
There is no way I would have solved that problem at 16
I don’t think we’d actually started to cover calculus by fourth form (I was 16 in fourth form, now known as Year 10). I reckon that was 5th and 6th form stuff. But I really can’t remember.
I was 16 in form 5 (year 10) and had certainly started off on calculus by then.
Date: 11/10/2015 15:13:42
From: sibeen
ID: 786798
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
sibeen said:
buffy said:
CrazyNeutrino said:
There is no way I would have solved that problem at 16
I don’t think we’d actually started to cover calculus by fourth form (I was 16 in fourth form, now known as Year 10). I reckon that was 5th and 6th form stuff. But I really can’t remember.
I was 16 in form 5 (year 10) and had certainly started off on calculus by then.
… in form 5 (year 10)
cough
year 11.
Date: 11/10/2015 15:17:31
From: buffy
ID: 786800
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
As a July baby, I was always one of the eldest in my cohort. I think calculus was pretty much year 11 and 12.
Date: 11/10/2015 15:21:52
From: Michael V
ID: 786802
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Yeah, calculus started early 5th form for me. I was 16.
Date: 11/10/2015 15:29:48
From: The Rev Dodgson
ID: 786806
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
If I remember 50 years ago rightly, in England you did “O Levels” at the end of 5th form (Year 10 equivalent), and you didn’t get to do any calculus unless you did “Additional Maths”, which only the nerdiest of the nerds did.
I don’t remember if they covered differentiation of square roots at that level or not.
But as noted previously, with a calculator it’s pretty easy to solve without any calculus.
Date: 11/10/2015 15:35:38
From: Michael V
ID: 786810
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Michael V said:
Yeah, calculus started early 5th form for me. I was 16.
Well, I turned 16 that year. I started the calculus at 15.
Date: 11/10/2015 15:41:49
From: dv
ID: 786816
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Calculus was introduced briefly in Grade 10 for me, and covered in detail in Grade 11.
Date: 11/10/2015 15:59:07
From: OCDC
ID: 786819
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
dv said:
The Rev Dodgson said:dv said:I think it is pretty straightforward.
OK, but:
1) Would you have found it pretty straightforward at age 16?
2) Even if you did, how many of your fellow 16 year olds would have?
yes
few
+1
But now I give myself more interesting real world questions, like how much of a drug should I give such that I’m not around when a patient is ‘discharged’…
Date: 11/10/2015 16:10:02
From: kii
ID: 786825
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
We got jellybeans from our maths teacher in year 6, but only if we got the correct answer.
Date: 11/10/2015 16:14:40
From: kii
ID: 786829
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Alllllex, did you see the cat houses on fb?
Date: 11/10/2015 16:14:48
From: Bubblecar
ID: 786831
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
kii said:
We got jellybeans from our maths teacher in year 6, but only if we got the correct answer.
I remember in Year 8, scoring 50c from a teacher who challenged us to give him words or terms that he couldn’t define. I offered “spectroscopic binary” and he couldn’t handle it.
Date: 11/10/2015 16:15:19
From: kii
ID: 786832
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Date: 11/10/2015 17:05:04
From: Arts
ID: 786863
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
kii said:
We got jellybeans from our maths teacher in year 6, but only if we got the correct answer.
I got smacked across the hands with a fly swat/ruler/whatever was close to hand, by my mother if I got an answer wrong.. no wonder I’m scared of maths
Date: 11/10/2015 17:11:30
From: Peak Warming Man
ID: 786867
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
I just used my slide rule and came up with x = 8.
I’ll check it against the computer later.
I always check my computer maths results against my slide rule.
The maths chips in some computers sometimes have small errors.
Date: 11/10/2015 17:33:21
From: Peak Warming Man
ID: 786875
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Also you don’t ever get a power failure on a slide rule.
Date: 11/10/2015 17:33:41
From: Peak Warming Man
ID: 786876
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
When the chips are down you can use the slide rule.
Date: 11/10/2015 17:34:42
From: Peak Warming Man
ID: 786877
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Also there are no viruses on a slide rule.
Date: 11/10/2015 17:35:25
From: Arts
ID: 786878
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
until Microsoft gets hold of it
Date: 11/10/2015 17:35:34
From: Peak Warming Man
ID: 786879
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Apart from the odd bit of ecoli and maybe a spot of ebola.
Date: 11/10/2015 18:29:57
From: sibeen
ID: 786894
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
I do actually own a slide rule. The only thing that I own that belonged to my grandfather.
Date: 11/10/2015 18:35:26
From: buffy
ID: 786896
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
I think I still have a slide rule somewhere. No idea how to work it now though.
Date: 11/10/2015 18:40:38
From: Michael V
ID: 786904
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
sibeen said:
I do actually own a slide rule. The only thing that I own that belonged to my grandfather.
I do too. I bought mine when I was in High School.
Date: 11/10/2015 18:43:20
From: sibeen
ID: 786907
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
buffy said:
I think I still have a slide rule somewhere. No idea how to work it now though.
I’ve never bothered learning how to use his old slide rule.
Really, there would be no use, it is a civil engineering one, so no use to me.
Date: 11/10/2015 18:44:20
From: bob(from black rock)
ID: 786909
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
Michael V said:
sibeen said:
I do actually own a slide rule. The only thing that I own that belonged to my grandfather.
I do too. I bought mine when I was in High School.
I own a slide rule, and used it for the first 10 years of my work as an engineer
Date: 11/10/2015 18:44:38
From: stumpy_seahorse
ID: 786910
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
sibeen said:
buffy said:
I think I still have a slide rule somewhere. No idea how to work it now though.
I’ve never bothered learning how to use his old slide rule.
Really, there would be no use, it is a civil engineering one, so no use to me.
yeah… couldn’t imagine you being civil…
:P
Date: 11/10/2015 19:31:53
From: AwesomeO
ID: 786943
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
sibeen said:
buffy said:
I think I still have a slide rule somewhere. No idea how to work it now though.
I’ve never bothered learning how to use his old slide rule.
Really, there would be no use, it is a civil engineering one, so no use to me.
Dad has a slide rule things he uses but his is discs.
Date: 11/10/2015 21:36:51
From: headsie
ID: 787062
Subject: re: Can YOU solve the maths problem Scottish schoolkids couldn't?
There are three types of people. those that are good at maths and those that aren’t.