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You omitted the case where all the questions were answered true, i.e. the C(10,0) case.

That brings the number to 1024 - 1 - 10 - 45 = 968

Have you TRIED to aqnswer any of these???

...you should TRY and THEN ask for help when you get stuck... before just posting ALL of your problems.....

Ok, thank you! My answer of 1080 is right and I understand.

There are 8 numbers  divisible  by 3 from 1-24...

So...the probability of NOT select a number divisible by 3 is :

1  -  8/24 =   

1 - 1/3  =

2/3

z score =  [  16.4   - 14.2 ] / [ 2.15 ]  ≈  1.02

From  the  z score table this value equates to  ≈ .8461 ≈  84.61%

So...the probability of picking a  sunflower > 16.4 ft   =  1  - .8461  ≈  15.39%

Assuming this is a homework or something from school. I will not give you the exact answers but will help you learn and make the question easier to solve. 

These are 5 problems

28. HINT: If there are 400 phones and 2.1% of them don't work, and you are trying to find how many of them don't work. The question is basically asking what is 2.1% of 400 (to the nearest whole number)?

So use your knowledge on percentages and find the answer!

29. HINT: Same as problem 28, try to find what is 1.9% of 2900. If you are trying having trouble finding that, try converting the percentage into a fraction and multiplying it by 2900.

30. HINT: Since the teacher is trying to pick 2 students out of 31, Teesha included, then represent those two numbers as a fraction!

31. HINT: There are 3 ways to get a sum of 8. And there are 3 ways to get a sum of 6. So that means there are 6 ways to get a sum of 8 or 6.

There are also 36 different sums you can get from rolling the two number cubes.

So what is the fraction if there are 6 ways to get a sum of 8 or 6 out the 36 different possible ways?

32. HINT: There are 2 ways to roll a sum of 5 (order does not matter)

You are correct!

5^x+1 can be written as 5^x*5, so if this equals 30, you can find what 5^x equals.

5^3x+1 can be written as 5^3x*5, which can be written as (5^x)³*5, so once you know what 5^x is you just cube it and multiply by 5.

Total ways to answer 10 true or false questions = 2^10 = 1024

Let False =F, True = T, and C(n,r) means combination of r objects out of n objects.

Required ways = Total ways - 1F . 9T - 2F . 8T

= 1024 - C ( 10,1) - C ( 10,2)

= 1024 - 10 - 45 = 969 is the required answer

Number 24 is asking what are the odds, So what you would do is count all the peices which would be 6. Two of those peices are white and 4 are grey so your answer would be

B. 2:4

Number 25 is asking about dice so add up the faces from one dice and thats 6, but you have two so it would be 6*2 which = 12. 

B. 1:12

Number 26 

You just divide 9 by 860 to get .0146116
So simplest answer would be 1% chance or .01 chance

B. 1%

Number 27.

This is experimental probability.

If 12 were found to be defective out of 280 the experimental probability of a purifier being defective is:

12/280 which is:

4.3%  (to nearest tenth of a percent) 

A. 4.3%