N = 20, the number of questions
p = 1/5 = 0.2, the probability of making a correct guess
q = 1 - p = 0.8, the probability of making an incorrect guess.
Expected success = 60% or 6 of 10.
From the binomial distribution,
P(6 of 10) = ₁₀C₆ p⁶q⁴
= 210*0.2⁶*0.8⁴ = 0.0055
Answer: 0.0055
To solve you need to set the equation equal to 6 (the height at which the player caught the ball.
6 = -16t^2 + 70t + 4
Next put the equation in standard form by subtracting 6 from both sides
-16t^2 + 70t - 2 = 0
This equation can be simplified by dividing by 2
-8t^2 + 35t - 1 = 0
This equation cannot be factored, but we can use the quadratic formula to find a value for x. Using the equation above we can find the values for a=-8, b = 35 and c = -1.
using the quadratic formula we can solve for x
-b +/- sqrt(b^2 - 4ac)
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2a
The solutions are
0.03 and 4.35. as 0.03 seems an unrealistic time to hit and catch a baseball we would expect the time to be 4.35 seconds.
Answer:
1) Area = 12cm²
2) x = 5cm
Surface area : 69cm²
Step-by-step explanation:
Opposites sides in a rectangle would equal the same.
so Top/bottom = 20+20=40
Front/back = 15+15=30
40+30=70cm²
94-70=24cm² for left and right side 24÷2=12cm²
2) Those lines represents what side it is equal too which also means the same.
3cm, you know that base x height = surface area so surface area ÷ height = base
15/3=5cm
x=5cm
Formula : Base x Height = One surface area
Front/Back= 15+15=30
Top/bottom = 5x3 = 15+15=30
side/side = 3x3=9
30+30+9=69cm²
