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Arte-miy333 [17]
4 years ago
12

a bastetball is passed through the air. The height h of the ball in feet after the distance d in feet the ball travels horizonta

lly is given by h=-d^2+ 10d+ 5. How far horizontally from the player passing the ball will the ball land on the ground?
Mathematics
1 answer:
Ksenya-84 [330]4 years ago
3 0
You want the (positive) distance when the height is 0, 0= -d^2 + 10d +5. You would factor that out(You'd get radicals), and the final answer would be <span>5±<span>30<span>−−</span>√</span></span><span> You'd take the only positive one of the two, 5 + srt(30) I hope I did that right :/</span>
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A rectangular garden is 5 ft longer than it is wide. Its area is 300 ft2. What are its dimensions?​
topjm [15]

Answer:

width=x

length=5x

area= 300ft2

area=lxb

300=5x(x)

300=5x^2

x^2=60

x=7.74

7.74(5)=38.7

dimensions are 38.7ft by 7.74 ft

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5 0
1 year ago
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Suppose that 14 inches of wire costs 84 cents.
mamaluj [8]

Answer: 222 cents

Step-by-step explanation: 84/14 = 6 This is the unit rate.

6 x 37 = 222

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Susie has a bag of marbles containing 3 Red, 7 Green, and 10 Blue marbles.
morpeh [17]

Answer:

1) a) 0.0945

b) 0.1062

2) a) 0.0138

b) 0.00081

3) a) 0.00094

b) 0.00083

4) 301.68 cents

5) 0.0056

Step-by-step explanation:

Since there are 3 Red, 7 Green, and 10 Blue marbles.

Total number of marbles N = 20

Probability (Red) = 3/20

Probability (Green) = 7/20

Probability (Blue) = 10/20

1) the probability of picking 5 marbles and getting at least one red marble

A) with replacement

P(at least 1 red of 5)= (3/20 * 17/20 * 17/20 * 17/20 * 17/20) + (3/20 * 3/20 * 17/20 * 17/20 * 17/20) + (3/20 * 3/20 * 3/20 * 17/20 * 17/20)

P(at least 1 red of 5) = 0.0783 +0.0138 + 0.0024 = 0.0945

B) without replacement

P(at least 1 red of 5) = ( 3/20 * 17/19* 16/18 * 15/17 * 14/16) + (3/20 * 2/19 * 17/18 * 16/17 * 15/16) + (3/20 * 2/19 * 1/18 * 17/17 * 16/16)

P(at least 1 red of 5) = 0.0921 + 0.01316 + 0.0009 = 0.1062

2) the probability of picking 6 marbles having 2 of each color

A) with replacement

P( 6, 2 of each) = 3/20 * 3/20 * 7/20 * 7/20 * 10/20 * 10/20

P( 6, 2 of each) = 0.0138

B) without replacement

P( 6, 2 of each) = 3/20 * 2/19 * 7/18 * 6/17 * 10/16 * 9/15

P( 6, 2 of each) = 0.00081

3) Pick 8 marbles: 4 green and 4 blue

A) with replacement

P(8, 4G and 4 B) = 7/20*7/20*7/20*7/20*10/20*10/20*10/20

P(8, 4G and 4 B) = 0.00094

B) without replacement

P(8, 4G and 4 B) = 7/20*6/19*5/18*4/17*10/16*9/15*8/14*7/13 = 0.00083

4) getting at least 6 marbles of the same color

Only Green and Blue marbles are more than 6

P(at least 6 marbles of the same color) = (7/20*6/19*5/18*4/17*3/16*2/15) + (10/20*9/19*8/18*7/17*6/16*5/15)

= 0.00018 + 0.00542

P(at least 6 marbles of the same color) = 0.0056

Cost of 6 .marbles= 6* 50 cents

C = 300 cents

Therefore, You will have to pay

(1 + 0.0056) 300 cent = 301.68 cents to be sure of getting at least 6 marbles of the same color

5) getting at least 6 marbles of the same color

Only Green and Blue marbles are more than 6

P(at least 6 marbles of the same color) = (7/20*6/19*5/18*4/17*3/16*2/15) + (10/20*9/19*8/18*7/17*6/16*5/15)

= 0.00018 + 0.00542

P(at least 6 marbles of the same color) = 0.0056

6 0
3 years ago
Help??I have 4 questions and im confused on all of them
KengaRu [80]
So you you are trying to find the area of sphere so you would use this formula
A=4•3.14•r^2

And you already know that the radius is 6 so you would go ahead and plug in the numbers
A=4•3.14•4^2

4^2 is 16 so your final equation would be
A=4•3.14•16

And your answer is

=452.39
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3 years ago
What is the slope of a line that passes through the points (–3, 2) and (–6, 5)?
lilavasa [31]

Answer:

-1

Step-by-step explanation:

just do y2-y1 over x2-x1.

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