A.) 120
The variance is the range of a data set, which shows how spread out numbers are. To get the variance, we take the last number and subtract it from the first number. 160-40=120. Therefore, there is 120 numbers between 40 to 160.
You know that Akiko is 45 miles from the origin...Kosuke is (135/4) miles from the origin... You can draw a figure to clearly see the situation.
<span>you "know" that the angle between their routes is 140º </span>
<span>the side opposite (140º) is the distance between them... </span>
<span>c^2 = (45)^2 + (135/4)^2 - 2(45)(135/4) cos 140 </span>
<span>c ≈ 74.1 mile
Hope this answers the question.</span>
Given:
The matrix equation is:

To find:
The value of matrix C.
Solution:
Let
. Then the given equation can be rewritten as




On substituting the values of the matrices, we get




Therefore, the correct option is C.
Answer:
6.25-1.75
Step-by-step explanation:
Step-by-step explanation:
Monique had 6 dollars. She found 25 cents and then bought a book
25 cents = 0.25 dollars
Total dollar she had= 6 + 0.25= 6.25 dollars
Let x be the cost of a book
She ended up with 7 quarters. Convert quarter into dollars
1 quarter = 0.25 dollars
7 quarters = 7 times 0.25=1.75 dollars
So she ended up with 1.75 dollars
Amount she had at the beginning - the cost of book = amount ended up
Number of dollars spent on the book = Amount she had - amount ended
Number of dollars spent on the book=
6.25-1.75