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Tcecarenko [31]
3 years ago
8

You have 9 pieces of wood of different lengths that you are attempting to glue together that will have a length of exactly 10 in

ches. The straw lengths are 1 inch, 2 inches, 3 inches, 4 inches, 5 inches, 6 inches, 7 inches, 8 inches, and 9 inches. What is the probability that you randomly choose one piece of wood keep it then randomly choose the second one to give you a total length of 10 inches. (*Hint* Make a list of the combinations that will add up to 10.) Part 1: Express the probability of the 1st chosen piece of wood. Express the probability of the 2nd chosen piece of wood. Part 2: Explain how you arrived at the above probabilities. Part 3: Express your result in lowest terms.
Mathematics
1 answer:
Sauron [17]3 years ago
8 0
The possible combinations are:
1,9
2,8
3,7
4,6
9,1
8,2
7,3
6,4

Total straws: 9
Probability of first being 1: 1/9
Probability of second being 9: 1/8
Probability of both: 1/9 x 1/8 = 1/72

This will be multiplied by 8 as there are 8 possible combinations:
8 x 1/72
= 8/72
= 1/9
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ANSWER

EXPLANATION

Given that

X (-2, 1)

Y (-4, -3)

Z (0, -2)

The transformation rule of the triangle is given as

(x, y) ----------------> (x - 1, y + 3)

From, the given transformation rule, we can now find the new coordinates

X (-2, 1) --------------> X' (-2 -1, 1 + 3)

X(-2, 1 ----------------> X' (-3, 4)

Y(-4, -3) -----------------> Y'(-3-1, -3+1)

Y(-4, -3)-------------------> Y' (-4, -2)

Z(0, -2) --------------------Z'(0-1, -2+3)

Z(0, -2) -------------------> Z'(-1, 1)

Therefore the new coordinates of the triangles are

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8 0
1 year ago
How do i write 2 perfect squares that each have a value greater then 100 and less that 200
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8 0
3 years ago
A large container of juice cost $1.95 less than three times the cost of the small container of juice what is the cost of a launc
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3 0
3 years ago
A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Leto [7]

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that n = 533, \pi = \frac{351}{533} = 0.6585

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247

The upper limit of this interval is:

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6 0
3 years ago
Three men are trying to hold a ferocious lion still for the veterinarian. The lion, in the center,is wearing a collar with three
Andre45 [30]
The answer 
<span>the third rope to counterbalance Sam and Charlie is F
and vectF +vectF1 +vectF2 =vect0
let's consider axis
y'y  </span>vectF = -F
      vectF 1= F1cos60
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so F= F1cos60+F2co45= 350x0.5+400x0.7=457.84 pounds
4 0
3 years ago
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