Answer: 68
Step-by-step explanation:
By the inscribed angle theorem, arc BA measures twice of 34 degrees, which is 68 degrees.
Answer:
The dot product of (7,5) and (-5,4) is -15
Step-by-step explanation:
Given
(7,5) and (-5,4)
Required
Determine the dot product
Dot product is calculated using the following formula;
Let a = (7,5) and b = (-5,4);
The above formula becomes
Hence, the dot product of (7,5) and (-5,4) is -15
Answer:
A
Step-by-step explanation:
The solution to a system of equations is the point of intersection of the 2 lines.
The lines intersect at (6, 9 ) ← solution
<u>Answers</u>
1. Minimum = 4
2. First quartile = 6.5
3. Median = 13.5
4. Third quartile = 19
5. Maximum = 20
<u>Explanation</u>
To calculate the measure of central tendency, you first arrange the set of the data in ascending order.
The set of data given will be;
4, 4, 9, 9, 18, 18, 20, 20.
Part 1:
The minimum value of the data is 4.
Part 2:
The first quatile is the median of the lower half which is comprised by:
4, 4, 9, 9
1st quartile = (4+9)÷2
= 13÷2
= 6.5
Part 3:
Median of the data is;
Median = (9+18)÷2
=27÷2
= 13.5
Part 4:
3rd quartile is the median of the upper half which comprises of;
18, 18, 20, 20.
3rd quartile = (18+20)÷2
= 48÷2
= 19
Part 5
The maximum of the set of data is 20.
2/3+4/9
denominator= 3*9=27
numerator = (18+12)= 30
therefore the answer is 30/27= 10/9
