Answer:
%
Step-by-step explanation:
Probability is found by first forming a fraction where the numerator represents the number of desired outcomes and the denominator represents the total number of outcomes. In this case, the desired outcomes is the amount of times the coin lands on heads (9) and the total outcomes is the number of times the coin is tossed (20):

Divide numerator by denominator to get a decimal: 9÷20= 0.45
Multiply the decimal by 100 to get a percent: 0.45 x 100 = 45%
Answer:
See below ~
Step-by-step explanation:
Based on the graph,
- <u>f(-3)</u>
2. <u>f(4)</u>
3. <u>x when f(x) = 5</u>
4. <u>x when f(x) = -3</u>
47 -14i
You can work this out in the straight-forward way, or you can recognize that (6-i) is a common factor. In the latter case, you have ...
... = (6-i)(5 + 3-i)
... = (6 -i)(8 -i)
This product of binomials is found in the usual way. Each term of one factor is multiplied by each term of the other factor and the results summed. Of course, i = √-1, so i² = -1.
... = 6·8 -6i -8i +i²
... = 48 -14i -1
... =
_____
A suitable graphing calculator will work these complex number problems easily.
Answer:
10.717
Step-by-step explanation:
15.31×0.7 = 10.717
Answer:
Area of the triangle is 10 square units
Step-by-step explanation:
Recall that the formula for the area of a triangle is: "base x height / 2", and in this case, we can consider the triangle's base as the segment that joins the vertices (5, 4) and (5, 8) which gives a segment length of 4 units. The height of the triangle is then the distance between the third vertex (0,7) and the base, which is exactly 5 units. Then the area becomes:
Area = 4 x 5 / 2 = 10 square units.