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monitta
2 years ago
9

(x+0.5)^3 Expand the Equation using Pascal’s Triangle and the Binomial Theorem.

Mathematics
1 answer:
barxatty [35]2 years ago
3 0

Answer: x^3 + 1.5x^2 + 0.75x + 0.125

Step-by-step explanation:

Use the binomial expansion theorem to find and simplify each term.

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vivado [14]
Mayonnaise is an instrument
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2 years ago
Increasing the sample size while keeping the same confidence level has what effect on the margin of error? A. Increases the marg
DiKsa [7]

Answer:

C. Decreases the margin of error and hence increases the precision

Step-by-step explanation:

If we select a sample by Simple Random Sampling in a population of “infinite” size (a population so large that we do not know its size exactly), then the margin of error is given by

\bf E=\frac{ZS}{\sqrt{n}}

where  

<em>Z = The Z-score corresponding to the confidence level </em>

<em>S = The estimated standard deviation of the population </em>

<em>n = the size of the sample. </em>

As we can see, since n is in the denominator of the fraction and the numerator is kept constant, the larger the sample size the smaller the margin of error, so the correct choice is:

C. Decreases the margin of error and hence increases the precision

4 0
2 years ago
Question 2 (1 point)
Papessa [141]

Answer:

55.734 mph

Step-by-step explanation:

Let's call the wind speed x and the time of flight t.

Then, we can write the following equation, knowing that the distance is equal speed times time of flight:

910 = (350+x) * t

660 = (350-x) * t

If we isolate t in both equations and compare its value, we have that:

910 / (350+x) = 660 / (350-x)

(350+x)/(350-x) = 910/660

350 + x = 1.3788 * (350-x)

350 + x = 482.58 - 1.3788x

2.3788x = 132.58

x = 55.734 mph

4 0
3 years ago
2/3 – 2/6<br> write answer as a fraction
lisabon 2012 [21]

Answer:

It's 1/3

Step-by-step explanation:

2/6 is equivalent to 1/3, so you can rewrite the question as 2/3 - 1/3.

5 0
2 years ago
Read 2 more answers
How many different ways can you make 82 cents using current u.s. currency
andrew11 [14]
 <span>You can probably just work it out. 

You need non-negative integer solutions to p+5n+10d+25q = 82. 

If p = leftovers, then you simply need 5n + 10d + 25q ≤ 80. 


So this is the same as n + 2d + 5q ≤ 16 

So now you simply have to "crank out" the cases. 

Case q=0 [ n + 2d ≤ 16 ] 

Case (q=0,d=0) → n = 0 through 16 [17 possibilities] 
Case (q=0,d=1) → n = 0 through 14 [15 possibilities] 
... 
Case (q=0,d=7) → n = 0 through 2 [3 possibilities] 
Case (q=0,d=8) → n = 0 [1 possibility] 

Total from q=0 case: 1 + 3 + ... + 15 + 17 = 81 

Case q=1 [ n + 2d ≤ 11 ] 
Case (q=1,d=0) → n = 0 through 11 [12] 
Case (q=1,d=1) → n = 0 through 9 [10] 
... 
Case (q=1,d=5) → n = 0 through 1 [2] 

Total from q=1 case: 2 + 4 + ... + 10 + 12 = 42 

Case q=2 [ n + 2 ≤ 6 ] 
Case (q=2,d=0) → n = 0 through 6 [7] 
Case (q=2,d=1) → n = 0 through 4 [5] 
Case (q=2,d=2) → n = 0 through 2 [3] 
Case (q=2,d=3) → n = 0 [1] 

Total from case q=2: 1 + 3 + 5 + 7 = 16 

Case q=3 [ n + 2d ≤ 1 ] 
Here d must be 0, so there is only the case: 
Case (q=3,d=0) → n = 0 through 1 [2] 

So the case q=3 only has 2. 

Grand total: 2 + 16 + 42 + 81 = 141 </span>
3 0
3 years ago
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