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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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Omar ordered his sister a birthday card from a company that randomly selects a card from their inventory. The company has 21 tot
Ksju [112]

Answer:

P = 7

Step-by-step explanation:

We have 21 total cards and out of those 21 cards, 14 of those are birthday cards. So that means that the amount of cards that are not birthday cards is the number of cards subtracted by the number of birthday cards, also shown as 21 - 14. So 21 - 14 = P, so now we solve what 21 - 14 is which is 7, so that means P = 7.

Let me know if you have any questions.

8 0
3 years ago
A person is watching a boat from the top of a lighthouse. The boat is approaching
Lapatulllka [165]

9514 1404 393

Answer:

  445.10 feet

Step-by-step explanation:

The relation between angle of depression and distance to the boat is ...

  Tan = Opposite/Adjacent

  tan(angle of depression) = (200 ft)/(distance to boat)

Then the distance to the boat is ...

  distance to boat = (200 ft)/tan(angle of depression)

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We want the change in distance between the two angles, so ...

  change in distance = (200 ft)/tan(17°31') -(200 ft)/tan(46°41')

  = (200 ft)(cot(17°31') -cot(46°41'))

  change in distance ≈ 445.10 ft

7 0
3 years ago
HELP!!BRAINLIEST AND 10 POINTS
leva [86]

Answer:

A

Step-by-step explanation:

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6 0
2 years ago
First, find the volume for each bottle. Use 3.14 for pie or the pie button and round to the nearest hundredth. Volume of cylinde
marshall27 [118]

the volume of the cylinder is 572.27 cm³

Explanation:

Given:

radius of the cylinder = 4.5cm

height = 9cm

To get the volume of the cylinder, we will use the formula:

\begin{gathered} Volume\text{ = \pi r^^b2h} \\ where\text{ \pi= 3.14} \\ r\text{ = radius, h = height} \end{gathered}\begin{gathered} Volume\text{ of the cylinder = 3.14 }\times\text{ 4.5}^2\text{ }\times\text{ 9} \\ Volume\text{ of the cylinder = 3.14 }\times\text{ 182.25} \\  \\ Volume\text{ of the cylinder = 572.265 cm}^3 \end{gathered}

To the nearest hundredth, the volume of the cylinder is 572.27 cm³

3 0
1 year ago
Find the measure of line segment DF.<br> A) 12<br> B) 13<br> C) 14<br> D) 15
brilliants [131]

As per the  Intersecting Chords theorem, if two chords cross in a circle, the products of the chord segments' measures are equal. The measure of the line segment is DF is 14 units.

<h3>What is Intersecting Chords theorem?</h3>

If two chords cross in a circle, the products of the chord segments' measures are equal.

As per the Intersecting Chords theorem, the product of DF and FB will be equal to the product of CF and FA, therefore,

DF×FB = CF×FA

(x+8) × 8 = 16 × 7

(x+8) = (16×7)/8

(x+8) = 14

Hence, the measure of the line segment is DF is 14 units.

Learn more about Intersecting Chords theorem:

brainly.com/question/15298662

#SPJ1

4 0
2 years ago
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