I believe the second one right, because if I remember two opposite angles of an outside angle = the outside angle.
For this question you should know that:
2/3 = 8/12
and
3/4 = 9/12
so now you can say:
7/12 < 8/12 < 9/12
so:
7/12 < 2/3 < 3/4 :)))
i hope this is helpful
have a nice day
Answer:
8
Step-by-step explanation:
This is a right triangle, which fits the Pythagorean Theorem, a^2 +b^2 = c^2. The variables a, b, and c all are sides of the triangle, while a and b are the two legs and c is the hypothenuse.
In this problem, we see that 6 and x are the legs and 10 is the hypothenuse. We put 6 as "a" and x as "b" (but it doesn't matter which is a and b) and 10 is c. Therefore, we have the equation:
6^2 + x^2 = 10^2
which further simplifies to:
36 + x^2 = 100
x^2 = 64
and so x would equal 8 (or -8, but it is impossible to have a side length of -8).
Therefore, the missing side is 8.
Considering the Central Limit Theorem, we have that:
a) The probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.
b) The probability can be calculated, as the sample size is greater than 30.
<h3>What does the Central Limit Theorem state?</h3>
It states that the sampling distribution of sample means of size n is approximately normal has standard deviation 
, as long as the underlying distribution is normal or the sample size is greater than 30.
In this problem, the underlying distribution is skewed right, that is, not normal, hence:
- For item a, the probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.
- For item b, the probability can be calculated, as the sample size is greater than 30.
More can be learned about the Central Limit Theorem at brainly.com/question/16695444
#SPJ1
Answer:
$68.97
Step-by-step explanation:
Markup is the difference between the cost of an item and the price at which it is sold:
cost price + markup = selling price
Here, the markup is said to be 70%. The base for that percentage can be either the cost price or the selling price. The way this question is worded suggests the markup is 70% of the cost price.
So, we have ...
cost price + 0.70 × cost price = selling price
or
cost price × (1 + 0.70) = selling price
__
Then, to find the cost price, we can divide by its coefficient in this equation. Doing that gives ...
cost price = (selling price)/1.70
cost price = $117.25/1.70 = $68.97
The store's purchase price before the markup for this item was $68.97.
