There are 8 possible outcomes when you throw a coin three times:

Out of these combination, the ones with exactly two heads are

So, 3 combinations out of 8 have exactly two heads. This means that the probability of having two heads with three coin throws is 3/8
Answer:
5. B, C and E
6. C
7. None
8. A and D
9. F and G
Step-by-step explanation:
See attachment for complete question
5. B, C and E
B, C and E are not parallelogram because they do not have 2 pairs of parallel sides
B and E are trapeziums while C is just a quadrilateral.
6. C
In (5) above, we established that B and E are trapeziums while C is not. This implies that only C is a quadrilateral.
7. None
A square is a parallelogram. So, it is not possible for a shape to be a square and not be a parallelogram.
8. A and D
A is a rhombus. D is a square and will be treated as a rhombus because all sides are equal.
9. F and G
These shapes have 2 pairs of parallel lines but all 4 sides are not equal; only the opposite sides are equal.
Answer:
Q1. 2 - 5/ 8 - 0 = -3/8
Q2. 1- (-1)/6-2 = 2/4 simplified as 1/2
Q3. (-5)- (-2)/ (-1)- (-3) = -3/2
Use a ruler to help you graph a line whose slope is 1/3. Label this line “a”
*Answer- 1/3 is being shown for rise/run (Rise over Run, 1 being rise and 3 being run). this means that you go up one and right 3.
Step-by-step explanation:
y2-y1 *over* x2- x1. Also if you can simplify the end fraction do it but if not then leav it as it is. This is the equation that I used for the first 3 problems. Also I didnt quit understand the 1st word problem sorry! I hope this helps :v
Answer:
At a speed of 57 mph for 8 hr a driver will travel 456 mi
Step-by-step explanation:
Here we have a summary of the letters for each variable:
Speed ---> r (in units of mph)
Time ---> t (in units of hr)
Distance ---> d (in units of mi)
These three variables are related by the next formula:
d = rt
In the data they give to you: 57 mph and 8 hr, they are telling you the r and the t, respectively:
r = 57 mph
t = 8 hr
The only thing you have to do is replace the values:
d = rt ----> d = 57 mph x 8 hr
d = 456 mi
Answer:
5000
Step-by-step explanation:
In vertex form, the cost function is ...
C(x) = 3(x² -10x) +175 = 3(x² -10x +25) +175 -3(25)
C(x) = 3(x -5)² +100
The vertex is at x=5, so the cost function will be minimized when 5000 speed boats are produced.