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Crank
3 years ago
12

Glen Davis is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one,

and he makes his free throws 74\%74%74, percent of the time. What is the probability of Glen Davis making none of his next 4 free throw attempts?
Mathematics
2 answers:
serg [7]3 years ago
8 0

Answer:

(1−0.74)  ^4

Step-by-step explanation:

Serjik [45]3 years ago
4 0

Answer:

0.00457 or 0.457%

Step-by-step explanation:

Glen Davis makes a free throw 74% of the time, meaning he misses 26% of the time. Four him to miss four in a row, it would require him to miss his first throw and his second throw and his third throw and his fourth throw. I highlight and because it is a helpful tip to remember that AND situations require multiplication while OR situations require addition.

So in this question we multiply the probabilities of him missing.

P(MMMM) = \frac{26}{100}* \frac{26}{100} *\frac{26}{100}* \frac{26}{100}  = 0.00457

This answer has been rounded off to three significant figures

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75 points. Will give certified if work is shown and the answer is correct.
Svetach [21]
Volume of the first dwarf planet (r₁ = 832 mi):

V_1=\dfrac{4}{3}\cdot\pi\cdot r_1^3=\dfrac{4}{3}\cdot\pi\cdot 832^3=\dfrac{2303721472}{3}\pi\approx7.679\cdot10^8\pi\,\text{mi}^3

Volume of the second dwarf planet (r₂ = 829 mi):

V_2=\dfrac{4}{3}\cdot\pi\cdot r_2^3=\dfrac{4}{3}\cdot\pi\cdot 829^3=\dfrac{2278891156}{3}\pi\approx7.5963\cdot10^8\pi\,\text{mi}^3

So difference between the volumes is:

V_1-V_2\approx7.679\cdot10^8\pi-7.5963\cdot10^8\pi=0.0827\cdot10^8\pi=\boxed{8270000\pi\,\text{mi}^3}

or if we want exact value (we use (a³-b³) = (a-b)(a²+ab+b²) ):

V_1-V_2=\dfrac{4}{3}\cdot\pi\cdot r_1^3-\dfrac{4}{3}\cdot\pi\cdot r_2^3=\dfrac{4}{3}\pi(r_1^3-r_2^3)=\dfrac{4}{3}\pi(832^3-829^3)=\\\\\\=\dfrac{4}{3}\pi(832-829)(832^2+832\cdot829+829^2)=\\\\\\=\dfrac{4}{3}\pi\cdot3(692224+689728+687241)=4\pi\cdot2069193=\boxed{8276772\pi\,\text{mi}^3}
3 0
2 years ago
140% of 60. can someone explain????​
Katyanochek1 [597]

Answer:

84

Step-by-step explanation:

140% of 60 = 60 times 140% = 60 × 1.4 = 84

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3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

8

Step-by-step explanation:

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3 0
2 years ago
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