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Mathematics

1 answer:

Bogdan [553]3 years ago

6 0

Answer:

A) slope is -12

B)The rate of change is constant because for every 5 seconds the change is the same. For every 5 seconds, the height decreases by 60ft. The equation is y=12x+1210

Step-by-step explanation:

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The 15 students in Miss Brown's class took a test. The average for the class was 95 points. The maximum possible score was 100 p

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25%

Step-by-step explanation:

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2 years ago

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8. At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance the

Bezzdna [24]

Answer:

Step-by-step explanation:

S= studies for

B= score of b or higher

we want P(S|B)

Using Bayes' theorem we can solve for the probability

$S|B=\frac{B|S*S}{B|S*S+B|S'*S'}=\frac{.55*.6}{.55*.6+.2*.4}=0.80487804878$

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A quarterback throws a football to a teammate. The football is 6.5ft above the ground when it leaves the quarterback's hand. His

sergejj [24]

Answer:

y = - 16t² + 55.6t + 6

Step-by-step explanation:

Using y - y₀ = vt - 1/2gt² where g = 32 ft/s², and v the velocity of the football

So y = y₀ + vt - 1/2 × (32 ft/s²)t²

y = y₀ + vt - 16t² where y₀ = 6.5 ft

y = 6 + vt - 16t²

Now, when t = 3.5 s, that is the time the teammate catches the ball after the quarterback throws it, y = 5 ft. Substituting these into the equation, we have

5 = 6.5 + v(3.5 s) - 16(3.5 s)²

5 = 6.5 + 3.5v - 196

collecting like terms, we have

5 - 6.5 + 196 = 3.5v

194.5 = 3.5v

v = 194.5/3.5 = 55.57 ft/s ≅ 55.6 ft/s

So, substituting v into y, our quadratic model is

y = 6 + 55.6t - 16t²

re-arranging, we have

y = - 16t² + 55.6t + 6

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3 years ago