1 yard= 6 foot
1160 yards= 3480 foot
3480/60=58
It will take 58 minutes to travel 1160 yards
We know that the probability of a certain hockey player making a goal after hitting a slap shot is 
.
We need to figure out the number of successful slap shots if she makes 120 attempts?
Since the player is able to make a goal once out of 5 attempts. Therefore, in order to find the number of goals that we can expect the player to make successfully if she attempts 120 slap shots we will multiply the probability with 120.
Number of successful goals = (Probability of making one goal)x(Number of attempts)
Number of successful goals = 
.
Therefore, player will be able to make 24 goals out of 120 attempts.
The answer is C: 36%
20/55 = .3636 repeating
Answer:
Determine the next step for solving the quadratic equation by completing the square.
0 = –2x2 + 2x + 3
–3 = –2x2 + 2x
–3 = –2(x2 – x)
–3 + = –2(x2 – x + )
StartFraction negative 7 Over 2 EndFraction = –2(x – StartFraction 1 Over 2 EndFraction)2
StartFraction 7 Over 4 EndFraction = (x – StartFraction 1 Over 2 EndFraction)2
The two solutions are Plus or minus StartFraction StartRoot 7 EndRoot Over 2 EndFraction
-7/2 = -2(x - ½)²
Step-by-step explanation:
0 = –2x^2 + 2x + 3
Subtract 3 from each side
-3 = –2x^2 + 2x
Factor out the -2
-3 =- 2(x^2 -x)
Take the coefficient of x and divide by 2 and square it
-1 /2 = -1/2 ^2 = 1/4
Add it to each side Remember the -2 on the outside so we need to multiply it by -2
-2 *1/4 = -1/2
-3 -1/2= -2(x^2 -x +1/4)
-7/2 = -2(x^2 -x +1/4)
-7/2 = -2(x-1/2)^2
7/2 = -2(x - ½)²
Answer:
Step-by-step explanation:
Apply the Pythagorean Theorem: hyp² = 7² + (-4)² = 49 + 16 = 65.
The magnitude of this vector <7, -4> is 8.1, to the nearest tenth.
