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Digiron [165]
3 years ago
13

A basketball shot is taken from a horizontal distance of 5m from the hoop. The height of the ball can be modelled by the relatio

n h= -7.3t^2 + 8.25t +2.1, where h is the height in meters, and t is the time in seconds, since the ball was released
Mathematics
1 answer:
olasank [31]3 years ago
7 0
This is the concept of application of quadratic expressions. Given that the height of the ball is modeled by the equation;
h=-7.3t^2+8.25t+2.1+5
The time taken for the ball to hit the ground will be given as falls;
-7.3t^2+8.25t+7.1=0
to solve for t we use the quadratic formula;
t=[-b+/-sqrt(b^2-4ac)]/(2a)
a=-7.3, b=8.25, c=2.1
t=[-8.25+/-sqrt[8.25^2+4*7.3*7.1]/(-2*7.3)
t= -0.572
or
t=1.702
since there is not negative time we take the time taken for the ball to hit the ground will be: t=1.702 sec

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Please answer correctly see image bellow.
shepuryov [24]

Answer:

51.9 sec

Step-by-step explanation:

4 0
3 years ago
Jackie wants to burn 2000 calories in one week she can burn 250 calories per hour doing aerobics. How many hours should Jackie d
Crank

Answer:

8 hours

Step-by-step explanation:

If Jackie wants to burn 2000 calories in one week but only burns 250 calories per hour

then, to solve how many hours you have to divide

2000/250= 8

therefor Jackie has to do aerobics for 8 hours that week to burn 2000 calories

8 0
3 years ago
The city of Anville is currently home to 16000 people, and the population has been growing at a continuous rate of 4% per year.
Nesterboy [21]

Answer

After 13.15 years the population of both towns will become equal.

Step-by-step explanation:

Population of the city Anville is given by using the compound interest formula  

The formula of compound interest

A = p( 1+r/n)^n*t

using this we get

P1 = 16000 (1 +\frac{0.04}{1}) ^1*t

Population of the city of Brinker will be

P2 = 11000( 1  + \frac{0.07}{1}) ^1*t

now to make equal population in both towns

P1=P2

16000 (1 +\frac{0.04}{1}) ^1*t = 11000( 1  + \frac{0.07}{1}) ^1*t

(\frac{1.04}{1.07} )^t = \frac{11}{16}

t = 13.15 years

5 0
3 years ago
How much did Mario spend on golfing? a. $35.20 b. $45.20 c. $47.88 d. $143.96
Salsk061 [2.6K]
$47.88 your answer and I am the most important person in the world.
8 0
3 years ago
Read 2 more answers
The CEO of a clothing company estimates that 52% of customers will make a purchase. Part A: How many customers should a salesper
4vir4ik [10]

Answer:

(a) The expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b) The probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

Step-by-step explanation:

Let<em> </em>the random variable <em>X</em> be defined as the number of customers the salesperson assists before a customer makes a purchase.

The probability that a customer makes a purchase is, <em>p</em> = 0.52.

The random variable <em>X</em> follows a Geometric distribution since it describes the distribution of the number of trials before the first success.

The probability mass function of <em>X</em> is:

P(X=x)=(1-p)^{x}p

The expected value of a Geometric distribution is:

E(X)=\frac{1-p}{p}

(a)

Compute the expected number of should a salesperson expect until she finds a customer that makes a purchase as follows:

E(X)=\frac{1-p}{p}

         =\frac{1-0.52}{0.52}\\=0.9231

This, the expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b)

Compute the probability that a salesperson helps 3 customers until she finds the first person to make a purchase as follows:

P(X=3)=(1-0.52)^{3}\times0.52\\=0.110592\times 0.52\\=0.05750784\\\approx 0.058

Thus, the probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

8 0
3 years ago
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