Answer:
After 1.5 second of throwing the ball will reach a maximum height of 44 ft.
Step-by-step explanation:
The height in feet of a ball after t seconds of throwing is given by the function
h = - 16t² + 48t + 8 .......... (1)
Now, condition for maximum height is
{Differentiating equation (1) with respect to t}
⇒
seconds.
Now, from equation (1) we get
h(max) = - 16(1.5)² + 48(1.5) + 8 = 44 ft.
Therefore, after 1.5 seconds of throwing the ball will reach a maximum height of 44 ft. (Answer)
Answer: The probability of the player getting a hit is 0.214.
Step-by-step explanation:
Since we have given that
Probability that a baseball player gets a hit if the weather is good = 40% = 0.4
Probability that a baseball player gets a hit if the weather is not good = 20% = 0.2
Probability of good weather = 7% = 0.07
Probability of not good weather = 100-7 = 93% = 0.93
According to question, the probability of the player getting hit is given by

Hence, the probability of the player getting a hit is 0.214.
Answer:
thanks haahhahahaha
Step-by-step explanation:
Solve the top equation for x and then substitute that into the bottom equation and solve for y:
Top equation: subtract 4 from both sides to get x = y - 4
Substitution and simplify:
y = 4(y - 4) - 10
y = 4y - 16 - 10
y = 4y - 26
-3y = -26
y = 26/3 or 8 1/3 or 8.333 (those are all the same but in different forms)
Use the compound interest formula.
Let A = the ending amount
Let P = the principal
Let r = the interest rate
Let n = the amount compounded a year
Let t = time
A = P(1 + r/n) ^(n/t)
Substitute your numbers in
A = $7,000(1 + 0.06/4)^(4/7)
Solve for A
A = $7,059.81