The sum of 3.0478 and 4.92 is 
, which have 5 significant digits.
<u>Step-by-step explanation:</u>
We have , 
and 
. The significant digits of a number are digits that includes all digits except:
- All leading zeros. For example, "013" has two significant figures: 1 and 3;
- Trailing zeros when they are merely placeholders to indicate the scale of the number and ,
- Spurious digits introduced, for example, by calculations carried out to greater precision than that of the original data, or measurements reported to a greater precision than the equipment supports.
Here and with significant digit rules 
. Now, Sum of both numbers = 
⇒Sum of both numbers = 
⇒Sum of both numbers =
∴ The sum of 3.0478 and 4.92 is , which have 5 significant digits.
Answer:
The other solution is 12.
Step-by-step explanation:
Break the solution into groups: (x^2+2x)+(-12x-24)
Factor out the x^2 from the first group to get x(x+2)
Factor out the -12 out of the second group to get -12(x-12)
Here we get (x-12)(x+2)
You can see solutions are -2 and 12.
Answer:
14
Step-by-step explanation:
2(l+b)
2(3+4)
2(7) now do multiply
answer 14m
Answer:
C. Theorems are sometimes false.
Answer:
you<u> accept </u>the alternative hypothesis
Step-by-step explanation:
The null and alternative hypothesis can be computed as follows:
The sample proportion 
The test statistics can be computed as:
Z = -2.5
The P-value = 2( Z< -2.5)
From the tables;
The P-value = 2 (0.0062)
The P-value = 0.0124
The significance level = 0.01
Since the P-value is > significance level; we fail to reject the null hypothesis.
Conclusion: we accept the alternative hypothesis
