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Likurg_2 [28]
3 years ago
8

The lengths of three sides of a triangle are in the ratio 3: 5:

Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0

Answer:

3x=6. 5x=10. 6x=12

Step-by-step explanation:

the sides are 6,10,12.

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Use the fact that the mean of a geometric distribution is μ= 1 p and the variance is σ2= q p2. A daily number lottery chooses th
butalik [34]

Answer:

a). The mean = 1000

     The variance = 999,000

     The standard deviation = 999.4999

b). 1000 times , loss

Step-by-step explanation:

The mean of geometric distribution is given as , $\mu = \frac{1}{p}$

And the variance is given by, $\sigma ^2=\frac{q}{p^2}$

Given : $p=\frac{1}{1000}$

             = 0.001

The formulae of mean and variance are :

$\mu = \frac{1}{p}$

$\sigma ^2=\frac{q}{p^2}$

$\sigma ^2=\frac{1-p}{p^2}$

a). Mean =   $\mu = \frac{1}{p}$

              = $\mu = \frac{1}{0.001}$

              = 1000

  Variance =   $\sigma ^2=\frac{1-p}{p^2}$

                  = $\sigma ^2=\frac{1-0.001}{0.001^2}$

                           = 999,000

   The standard deviation is determined by the root of the variance.

    $\sigma = \sqrt{\sigma^2}$

        = $\sqrt{999,000}$ = 999.4999

b). We expect to have play lottery 1000  times to win, because the mean in part (a) is 1000.

When we win the profit is 500 - 1 = 499

When we lose, the profit is -1

Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).

$\mu=\Sigma\ x\ P(x)= 499 \times 0.001+(-1) \times (1-0.001)$

  = $ 0.50

Since the answer is negative, we are expected to make a loss.

4 0
2 years ago
Determine whether the triangles are congruent. Explain your reasoning .
MArishka [77]

Answer:

The triangles are congruent

Step-by-step explanation:

The Triangles are congruent because they have the same side lengths and and angle measures.

8 0
2 years ago
What is the lcm of 6 and 4
IceJOKER [234]

12 The least common multiple of 6 and 4 is 12

3 0
3 years ago
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There are 176 freshmen and 18 adults, going on a trip to Great Adventure. The tickets are $60.00 for an individual or $300.00 fo
Iteru [2.4K]

Answer:

$5940

Step-by-step explanation:

19 groups = 19 x 300 = $5700

4 extra tickets = 4 x 60 = $240

$5700 + $240 = $5940

Total people going = 194

7 0
3 years ago
A circular pizza is being made that will fit in a box that is 14 inches by 16 inches. A 2-inch border is needed between the edge
aliina [53]

Now, as the pizza is circular, so it does not matter about the box shape. If the box shape increases or decreases, the pizza shape is the same.

Now, we have been asked about the largest pizza radii that can fit in the box, so we will consider the shortest value of the box.

The width is given as 14 inches. There is a 2 inch border around the pizza. So, the width is 14-4 = 10 inches. (Now assume this as the diameter of pizza)

And the radius is = \frac{10}{2}=5 inches.

So, the largest pizza that can fit in the box will have a radius of 5 inches.

8 0
3 years ago
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