0
evaluate g(7) by substituting x = 7 into g(x
g(7) = (49-35-10)/2 = 4/2 = 2
now substitute x = 2 into f(x)
f(2) = √(4 - 48 + 144) = √0 = 0
(f ○ g)(7) = 0
Answer:
$ 1.96
Step-by-step explanation:
Number of spots with outcome of $1 = 9
Number of spots with outcome of $2 = 18
Number of spots with outcome of $10 = 1
Total number of spots = 28
Probability that ball will land on $1 =
Probability that ball will land on $2 =
Probability that ball will land on $10 =
The amount that player should expect to win on average in equal to expected value of the game. Expected value is calculated as the summation of product of probabilities with their respective outcomes.
i.e. for this case:
Expected Value will be:
This means, on average the player should expect to win $ 1.96
The perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
<h3>What is perimeter of plane?</h3>
The measure of the boundary of a plane or shape is called its perimeter. The perimeter of a plane or shape is the sum of all the sides.
A small rectangle has a length of 6.2 feet and width of 1.8 feet. The parameter of this triangle is,
The small rectangle has a length of 6.2 and the larger rectangle has a length of 12.4 feet. Thus the scale factor of enlargement is,
The perimeter of the original rectangle is 16 feet and scale factor is 2. Thus, the perimeter of the enlarged rectangle is,
The small rectangle has width of 1.8 feet and scale factor is 2. Thus, the width of the larger rectangle is,
Hence, the perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
Learn more about the perimeter of plane here;
brainly.com/question/1662271
Pedro had 1482 hits and Riley had 1200 hits.
Step-by-step explanation:
Given,
Number of base hits = 2682
Let,
Number of Pedro's hits = x
Number of Riley's hits = y
According to given statement;
x+y=2682 Eqn 1
x = y+282 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 2
Putting y=1200 in Eqn 2
Pedro had 1482 hits and Riley had 1200 hits.
Keywords: linear equation, substitution method
Learn more about substitution method at:
#LearnwithBrainly
Answer:
F(n) = 8.5*n yards, where n is the number of windows
Step-by-step explanation:
Suppose the house of Stephen's aunt has n windows.
Since he needs 8.5 yards of fabric for each window, then he needs 8.5 times n yards of fabric for the n windows.
Call F(n) the yards of fabric he needs for the n windows, then
F(n) = 8.5*n
For example, if auntie's house had 4 windows, then
F(4) = 8.5*4 = 34 yards.
If auntie's house had 6 windows
F(6) = 51 yards.