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rusak2 [61]
3 years ago
5

Insert three arithmetic means between 4 and 10.

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

Answer:

5.5, 7, 8.5

Step-by-step explanation:

Find the mean of 4 and 10, that is

\frac{4+10}{2} = \frac{14}{2} = 7

Now repeat with 4 and 7 and 7 and 10

\frac{4+7}{2} = \frac{11}{2} = 5.5

\frac{7+10}{2} = \frac{17}{2} = 8.5

Hence

4, 5.5, 7, 8.5, 10 ← is an arithmetic sequence with d = 1.5

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. In which of the problems below would applying the multiplicative inverse be the best first step in determining a solution to t
kirza4 [7]

Answer:

B

Step-by-step explanation:

In The rest of the problems, you add or subtract first.

7 0
3 years ago
8m 56mm change into mm​
Eduardwww [97]

Answer:

8056 mm

Step-by-step explanation:

1 m=1000 mm

(8×1000)mm+56 mm

=8000 mm+56 mm

=8056 mm

3 0
3 years ago
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
3 years ago
Solve using elimination. –8x + 6y = –16 –8x + 9y = 8
stira [4]
I think this is right

5 0
3 years ago
What is -0.75 - 0.4 simplified
anzhelika [568]

Answer:

-1.15

Step-by-step explanation:

Subtract  0.4  from  − 0.75 .

3 0
3 years ago
Read 2 more answers
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