The initial expression is:
So we can solve for r so:
To which subsets of the real number system does -16 belong?
2 answers:
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Answer:
D
Step-by-step explanation:
Given the quadratic
d = - 16t² + 12t ← subtract d from both sides
- 16t² + 12t - d = 0 ← in standard form
with a = - 16, b = 12, c = - d
Use the quadratic formula to solve for t
t = ( - 12 ± ) / - 32
= ( - 12 ± ) / - 32
= ( - 12 ± ) / - 32
= ( - 12 ± 4) / - 32
= ±
= ±
= ±
→ D
Answer: 8
Step-by-step explanation:
Given: Pedro cut a sheet of poster board into 10 equal parts.
let x be the total sheet.
then, one part of sheet= of the sheet
Now, His brother used some of the poster board and now 8/10 is left.
Therefore, if Pedro wants to make a sign from each remaining part of the poster board.
then, The number of signs he can make=
Hence, Pedro can make 8 signs.
Answer:
a) Null and alternative hypothesis:
b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.
c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.
d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%
e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.
Step-by-step explanation:
a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.
Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.
On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.
This can be written as: