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Solnce55 [7]
3 years ago
11

What is the coefficient of x2 in the expansion of (x + 2)3?

Mathematics
1 answer:
wolverine [178]3 years ago
4 0
One way is that you can just factor it out: (x+2)(x+2)(x+2)
For the first pair, you get x^2+4x+4.
Then do (x^2+4x+4)*(x+2)
That will be x^3+6x^2+12x+8
So the answer is 6
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What is the surface area of a sphere with a diameter of 16 cm?
Vilka [71]

Answer:

804.25 cm² (corrected to 2 decimal places)

Step-by-step explanation:

Radius = diameter / 2

= 16/ 2

=8 cm

Surface area of sphere = 4πr²

= 4π8²

=804.25 cm² (corrected to 2 decimal places)

6 0
2 years ago
Max tosses a Fair coin 3 times what is the probability of getting heads in the first two trials and Tails in the last trial
Gennadij [26K]
.5 * .5 *.5 = 1/8 
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the probability to have head is .5 so the probability of tails 1-.5 
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then the first time is head  
the second time is head 
the third time is tail 
so 
.5 * .5 *.5 = 1/8 
5 0
3 years ago
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How do you graph y= square root 4-x
Ksivusya [100]
Hi! Your answer is below!


Answer- Here's a simple model:

<span><span>X⟶f⟶Y

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6 0
2 years ago
The seventh grade class is raising money to have a class trip at the end of the year. They began the year with $2,500. Now they
Lubov Fominskaja [6]

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21.6%

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7 0
2 years ago
Move two choices to the blanks to correctly complete the sentences.
Pavel [41]

Answer:

(A) There should have been 5 outcomes of HT

(B) The experimental probability is greater than the theoretical probability of HT.

Step-by-step explanation:

Given

S = \{HH,HT,TH,TT\} -- Sample Space

n(S) = 4 --- Sample Size

Solving (a); theoretical outcome of HT in 20 tosses

First, calculate the theoretical probability of HT

P(HT) = \frac{n(HT)}{n(S)}

P(HT) = \frac{1}{4}

Multiply this by the number of tosses

P(HT) * n= \frac{1}{4} * 20

P(HT) * n= 5

<em></em>

Solving (b); experimental probability of HT

Here, we make use of the table

P(HT) = \frac{n(HT)}{n(S)}

P(HT) = \frac{6}{20}

P(HT) = 0.30 ---- Experimental Probability

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P(HT) = \frac{1}{4}

P(HT) = 0.25 ---- Experimental Probability

By comparison;

0.30 > 0.25

6 0
3 years ago
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