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iVinArrow [24]
3 years ago
15

A golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial velocity of 160 ft/sec.

SAT
1 answer:
Ede4ka [16]3 years ago
4 0

The golf ball follows a parabolic path, and it is modeled by a quadratic function

The maximum height of the golf ball is 99.47 feet

<h3>How to determine the maximum height of the ball?</h3>

The given parameters are:

  • Angle of elevation = 30 degrees
  • Initial velocity, u = 160 ft/sec

The maximum height of the ball is calculated using:

H_{max} = \frac{u^2\sin^2(\theta)}{2g}

Where:

g = 32.17 ft/sec^2

So, we have:

H_{max} = \frac{160^2 * \sin^2(30)}{2 * 32.17}

Evaluate

H_{max} = 99.47

Hence, the maximum height of the golf ball is 99.47 feet

Read more about maximum height at:

brainly.com/question/12446886

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Approximate the probability that X is greater than 70 and less than 90.
Dima020 [189]

The probability that X is greater than 70 and less than 90 is; 0.85

<h3>How to find the probability?</h3>

Let X be the binomial random variable with the parameters:

n = 200

p = 0.4

Then, the random variable Z defined as:

Z = (X - np)/(√(np(1 - p)

The probability that X is greater than 70 and less than 90 is expressed as; P(70 < X < 90)

At X = 70, we have;

Z = (70 - (200*0.4))/(√(200 * 0.4(1 - 0.4))

Z = -1.44

At X = 90, we have;

Z = (90 - (200*0.4))/(√(200 * 0.4(1 - 0.4))

Z = 1.44

Thus, the probability would be expressed as;

P(-1.44 < Z < 1.44)

From online p-value calculator, we have;

P(-1.44 < Z < 1.44) = 0.85

Complete question is;

Suppose that X is a binomial random variable with n = 200 and p = 0.4 Approximate the probability that X is greater than 70 and less than 90.

Read more about probability at; brainly.com/question/4621112

#SPJ1

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which of the following is not a method of determining body composition (determination of percentage of body fat)?
viva [34]
The following is not a method of calculating percentage of body fat is:
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There are various ways of calculating percentage of body fat which includes:
Underwater weighing
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Skinfold measures, etc.

Body Mass Index (BMI) is simply a method or way of measuring the body fat in the body of a person and showing the proportionality between the height and weight of the person.

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Answer:

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Explanation:

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