Mathematics: How do you solve this step by step?

How do you solve this step by step? - id3598893, breannaasmith1122

twhalon72

08.01.2022

Step-by-step explanation:

10x-(3x)(2x)+x to the power of 2

10x -12x+x to the power of 2

-2x+x to the power of 2

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Liah34

30.03.2021

C. 0.75^4

Step-by-step explanation:

Let x be the binomial variable that denotes the number of makes.

Since each throw is independent from the other throw , so we can say it follows Binomial distribution .

So $X\sim Bin(n=4 , p=0.75)$

Binomial distribution formula: The probability of getting x success in n trials :

$P(X=x)=^nC_xp^n(1-p)^{n-x}$ , where p = probability of getting success in each trial.

Then, the probability of Michael Beasley making all of his next 4 free throw attempts will be :

$P(X=4)=^4C_4(0.75)^4(1-0.75)^{0}$

$=(1)(0.75)^4(1)\ \ [\because\ ^nC_n=1]\\\\=(0.75)^4$

Thus, the probability of Michael Beasley making all of his next 4 free throw attempts is =0.75^4

Hence, the correct answer is C. 0.75^4 .

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