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Sonbull [250]
2 years ago
12

Tommy the Dunker's performance on the basketball court is influenced by his state of mind: If he scores, he is twice as likely t

o score on the next shot as he is to miss, whereas if he misses a shot, he is six times as likely to miss the next shot as he is to score.
Required:
a. If Tommy has missed a shot, what is the probability that he will score two shots later?
b. In the long term, what percentage of shots are successful?
Mathematics
1 answer:
rjkz [21]2 years ago
3 0

Answer:

Step-by-step explanation:

Probability of of winning next shot if he scores= 0.5

Probability of missing next shot if he misses = 1/6

a) Probability of scoring 2 shots later if he missed = (1-1/6)^2

=(5/6)^2

=25/36

b) % of successful shots= (1/2+5/6×(1/100))%

=4/3×1/100

=0.013%

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Answer:

C

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6 0
3 years ago
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Three water storage containers have the same volume in the shape of a cylinder, a cone, and a sphere. The base radius of the cyl
fredd [130]

Answer:

- The ratio of the height of the cone to the height of the cylinder is 3:1

- The ratio of the height of the cone to radius of the sphere is 4:1

Step-by-step explanation:

Note that the radii of all the structures are the same.

Let the height of the cone be H and the height of the cylinder be h

The volume of each of the shapes are given below as

Volume of cylinder = πr²h

Volume of a cone = (1/3)πr²H

Volume of a sphere = (4/3)πr³

1) The ratio of the height of the cone to the height of the cylinder

To obtain this, we equate the volume of those two structures

Volume of the cone = Volume of the cylinder

(1/3)πr²H = πr²h

πr² cancels out on both sides and we're left with

(H/3) = h

H = 3h

(H/h) = (3/1)

So, The ratio of the height of the cone to the height of the cylinder is 3:1

2) The ratio of the height of the cone to radius of the sphere

Similarly equating the volumes of the cone and the sphere

(1/3)πr²H = (4/3)πr³

(1/3)πr² cancels out on both sides and we're left with

H = 4r

(H/r) = (4/1)

The ratio of the height of the cone to radius of the sphere is 4:1

Hope this Helps!!!

8 0
3 years ago
PLEASE HELP ASAP!!!
Sonbull [250]
2x^2 - 7x - 6 = 0

x1 = \frac{- b  +  \sqrt{ {b}^{2} - 4ac }}{2a}
x2 = \frac{- b   -   \sqrt{ {b}^{2} - 4ac }}{2a}
where a=2
where b=-7
where c=-6

solve for x1 and x2

x1=4.21
x2=-0.71
6 0
2 years ago
Whats the error?katie divided 4.25 by 0.25 and a got a quotient of 0.17.
m_a_m_a [10]
The answer is 17. The decimal point needed to be moved by 2 places to the right since the divisor is a decimal.
6 0
3 years ago
Find the equation of this line. y= [?]x+[?]
DochEvi [55]

Answer:

y=3x-4

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

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Therefore, the slope of the line is 3. Plug this into y=mx+b:

y=3x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=3x+b

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into y=3x+b:

y=3x+(-4)\\y=3x-4

I hope this helps!

5 0
2 years ago
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