Answer:
3. 2/10 4/20 3/15
4. 12/1 48/4 36/3
Step-by-step explanation:
The first one: r + 6 is greater than or equal to 45
Answer:
24:26 or 12:13
Step-by-step explanation:
Ratios can be better understood if you read 24:26 as: Emily read 24 fiction books for every 26 books.
The question tells us Emily read 24 fiction books and 2 nonfiction books. We know she read 24 fiction books so that is the first part of our ratio. Now, they want to know how many total books did she read. Well, she read 24 fiction and 2 nonfiction. 24+2 = 26. 26 books total! So now we have the second part of our ratio and end up with the ratio of 24:26. But now, we have to simplify it. Simplifying ratios is like simplyfing fractions. You have to find their greatest common factor. The greatest common factor of 24 and 26 is 2. Now you divide both number by their greatest common factor (2). Finally, we end up with the ratio of 12:13.
Greatest common factor help: https://www.mathsisfun.com/greatest-common-factor.html
Answer: 271
Step-by-step explanation:
The formula we use to find the sample size is given by :-

, where
is the two-tailed z-value for significance level of 
p = prior estimation of the proportion
E = Margin of error.
If prior estimation of the proportion is unknown, then we take p= 0.5 , the formula becomes


Given : Margin of error : E= 0.05
Confidence level = 90%
Significance level 
Using z-value table , Two-tailed z-value for significance level of 

Then, the required sample size would be :

Simplify,

Hence, the required minimum sample size =271
The opposite sides are equal in length.
Step-by-step explanation:
Opposite sides of a parallelogram must be congruent. This is a property of all parralelograms.