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2 years ago

Simplify the product using the distributive property.

Mathematics

1 answer:

Svetllana [295]2 years ago

7 0

Answer:

Step-by-step explanation:

(4h + 6)(4h − 7)

= 4h(4h - 7) + 6(4h-7)

= 16h2 - 28h + 24h - 42

= 16h2 - 4h - 42 (Ans)

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One of the diagonals of a rhombus is thrice as the other. The area of the rhombus is 54 sq.Cm. The sum of the length of the diag

Colt1911 [192]

Answer:

Step-by-step explanation:

let one diagonal=x

other diagonal=3x

area=1/2 (x±3x)=3/2 x²=54

x²=54×3/2=81

x=9 cm

3x=3×9=27

sum of diagonals=x+3x=4x=4×9=36 cm

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2 years ago

Equation of the quadratic function represented by the graph is y=a(x-3)^2-1. What is the value of a?

Lunna [17]

I like pumpkins and you should too. The valiue of a is 2

3 0

3 years ago

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The product of a number, I, and 0.28 is 13.44. Which equation matches this statement?

Kaylis [27]

Answer:

Step-by-step explanation:

0.28x=13.44

3 0

2 years ago

Make a table of values for the following equation:

loris [4]

*Not 100% sure what you want but here goes*

Step-by-step explanation:

So what you do is create a table for this example label the x values say -2 through 2. Then you plug in the x value to the equation so for 2 its y= 2(2)+5 which is 9. Continue this for the rest of the graph and that should do it.

Hope this helps

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2 years ago

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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