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patriot [66]
3 years ago
10

Mrs. Crosland asked students to factor the expression 282

Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0

Well formatted version of the question can be found in the picture attached below :

Answer:

Both Carlos and Irene

Step-by-step explanation:

Given the expression (28x - 8)

Carlos : 2(14x - 4)

Danny : 7(4x - 1)

Irene : 4(7x - 2)

The factored expression Given by Carlos, Irene and Danny can be expanded to check if it gives the same expression as that Given in the question :

Carlos :

2(14x - 4)

2*14x - 2*4

28x - 8

Danny :

7(4x - 1)

7*4x - 7*1

28x - 7

Irene :

4(7x - 2)

4*7x - 4*2

28x - 8

From.the expanded solutions obtained ;

Both Carlos and Irene's solution corresponds to the factored form of the original equation and are Hence correct

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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.

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Answer:

the answer is d; the slope is 4, and the y-intercept is 12

Step-by-step explanation:

the slope is actually 4/-1, but the y-intercept is still 12 thow.

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