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3 years ago

3x2 - 5x + 6) + (9 - 8x - 4x2)

Mathematics

1 answer:

Ksju [112]3 years ago

8 0

Answer:

13-13x

Step-by-step explanation:

3*2=6

(6-5x+6) + (9-8x-8)

Combine Like Terms

(12-5x) + (1-8x)

Put x on one side and numbers on the other.

(12+1) + (-5x+ (-8x))

13-13x

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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

3 years ago

Solve the following systems of equations. 2^(2x+y−1) = 32 4^(x−2y) = 2

Rina8888 [55]

Answer:(x,y)=(2.5,1)

Step-by-step explanation:

Given

$2^{2x+y-1}=32$

$2^{2x+y-1}=2^5$

thus on comparing

2x+y=6------1

$4^{x-2y}=2$

$2^{2(x-2y)}=2$

On comparing exponent of 2

$x-2y=\frac{1}{2}$ ------2

we get x=2.5

substitute x in 1

y=1

(x,y)=(2.5,1)

6 0

3 years ago

What is 0.6767 as a simplified fraction

vodka [1.7K]

Answer: 6767/10000

Step-by-step explanation:

Just simplify it by its nearest tenth

6 0

3 years ago

Lulu ate 3/5 of a bag of chips which equaled to 150 calories. How much calories would have lulu ate if she ate the whole bag of

Lerok [7]

C=150•(3/5)•5
C=450

So if she ate the whole bag, she’d eat 450 calories.

3 0

3 years ago

Please help this is in my test tomorrow♡

MAVERICK [17]

Answer:

67

Step-by-step explanation:

50-40+87-30

=50+(- 40)+87(-30)

=50+87+(-40)+(-30)

=(50+87+(-40)+(-30)

=137+(-70)

=67

when he wins, we add points. When he loses ,we subtract points.The score is 50 points. We right an expression to find the final score

5 0

3 years ago