Answer:
- Elanor's standardized score is 1.19
- Gerald's standardized score is 0.72
- Elanor has higher score
Step-by-step explanation:
To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.
z score can be calculated using the formula
z=
where
- M is the mean score of the exam
- s is the standard deviation of the exam
Elanor's standardized score is:
z(e) = 
≈ 1.19
Gerald's standardized score is:
z(g)= 
≈ 0.72
Since z(e) > z(g), Elanor has higher score
Answer:
the required answer is 64
Step-by-step explanation:
b/4 =16
b = 16 × 4
= 64
Answer:
Adult tickets sold= 9x4 = 36
Senior tickets sold = 9x3= 27
Child tickets sold = 9 x 1 = 9
Step-by-step explanation:
If the parts for adult tickets changed within the 2 ratios given, we should have equated Ratio further. But here that is not 5e case. So, put both ratios together:
Senior:Adult:Child
3:4:1
Now,
Total number of parts 3+4+1=8
Number of tickets sold per part = 72/8 = 9
Therefore number of
Adult tickets sold= 9x4 = 36
Senior tickets sold = 9x3= 27
Child tickets sold = 9 x 1 = 9
Hope this helps.
Good Luck
Well, we could try adding up odd numbers, and look to see when we reach 400. But I'm hoping to find an easier way.
First of all ... I'm not sure this will help, but let's stop and notice it anyway ...
An odd number of odd numbers (like 1, 3, 5) add up to an odd number, but
an even number of odd numbers (like 1,3,5,7) add up to an even number.
So if the sum is going to be exactly 400, then there will have to be an even
number of items in the set.
Now, let's put down an even number of odd numbers to work with,and see
what we can notice about them:
1, 3, 5, 7, 9, 11, 13, 15 .
Number of items in the set . . . 8
Sum of all the items in the set . . . 64
Hmmm. That's interesting. 64 happens to be the square of 8 .
Do you think that might be all there is to it ?
Let's check it out:
Even-numbered lists of odd numbers:
1, 3 Items = 2, Sum = 4
1, 3, 5, 7 Items = 4, Sum = 16
1, 3, 5, 7, 9, 11 Items = 6, Sum = 36
1, 3, 5, 7, 9, 11, 13, 15 . . Items = 8, Sum = 64 .
Amazing ! The sum is always the square of the number of items in the set !
For a sum of 400 ... which just happens to be the square of 20,
we just need the <em><u>first 20 consecutive odd numbers</u></em>.
I slogged through it on my calculator, and it's true.
I never knew this before. It seems to be something valuable
to keep in my tool-box (and cherish always).
Answer:
a)219.8
b)3846.5
Step-by-step explanation:
a) circumference is pi*diameter, so 3.14*70 is 219.8
b) area is pir^2, and radius is 1/2 of diameter, it would be 3.14*35^2, so 3.14*1225, so 3,846.5 in^2.
