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djverab [1.8K]
3 years ago
8

You and a friend are working on shooting free throws at basketball practice. Your friend has a season average of making 80% of h

is shots. What is the probability that your friend is doesn't make a shot until his 5th attempt
Mathematics
1 answer:
vekshin13 years ago
8 0

Answer: The probability that his friend doesn't make a shot until his 5 th attempt is 0.00128.

Step-by-step explanation:

Since we have given that

Probability of making his shot = 80%

Probability of missing his shot = 20%

We need to find the probability that his friend doesn't make a shot until his 5th attempt.

So, our required probability would be

(0.20)^4(0.8)\\\\=0.00128

Hence, the probability that his friend doesn't make a shot until his 5 th attempt is 0.00128.

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The students in Mr. Wilson's Physics class are making golf ball catapults. The
Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is 0 \leq x \leq 48.6\ ft and the range is 0 \leq y \leq 8.3\ ft

Step-by-step explanation:

we have

y=-0.014x^{2} +0.68x

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's  distance from the catapult in feet

y is the flight of the balls in feet

Part a)  How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-0.014x^{2} +0.68x=0

so

a=-0.014\\b=0.68\\c=0

substitute in the formula

x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}

x=\frac{-0.68(+/-)0.68} {(-0.028)}

x=\frac{-0.68(+)0.68} {(-0.028)}=0

x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

y=-0.014x^{2} +0.68x

Find out the derivative and equate to zero

0=-0.028x +0.68

Solve for x

0.028x=0.68

x=24.3

<em>Alternative method</em>

To determine the x-coordinate of the vertex, find out the midpoint  between the x-intercepts

x=(0+48.6)/2=24.3\ ft

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

y=-0.014(24.3)^{2} +0.68(24.3)

y=8.3\ ft

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A  reasonable domain is the distance between the two x-intercepts

so

0 \leq x \leq 48.6\ ft

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A  reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

so

we have the interval -----> [0,8.3]

0 \leq y \leq 8.3\ ft

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

8 0
3 years ago
Luke records Jesus' visit to Jerusalem when He was twelve years old for the Feast of the
SVETLANKA909090 [29]
Passover extra words to make 20 characters lol

     



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3 years ago
What is the probability of getting heads and a b, c, and d
sp2606 [1]
I mean probably of getting head is a half if that's what u mean but what is a,b,c,d
4 0
4 years ago
With her promotion, Nicki's salary increased from $19.50 an hour to $22.50 an hour. What is the percent of increase, rounded to
olga nikolaevna [1]
The equation for percentage increase is
{(New value - old value) / old value} x100%
Therefore it should be
{(22.5 - 19.5) / 19.5} x 100%
=15% (rounded to nearest whole number)
Answer is B
5 0
3 years ago
Read 2 more answers
Someone help me with this
neonofarm [45]

Answer:

-2

Step-by-step explanation:

-10 + 3 = -7

5 0
3 years ago
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