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3 years ago

Which identify could be used to rewrite the expression x6-27

Mathematics

1 answer:

hammer [34]3 years ago

3 0

The differnce of 2 perfect cubes

remember
a³-b³=(a-b)(a²+ab+b²)

so
$(x^2)^3-(3)^3=(x^2-3)(x^2+3x+9)$

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Use the given values of n and p to find the minimum usual value μ−2σ and the maximum usual value μ+2σ. Round to the nearest hund

lbvjy [14]

Answer:

μ−2σ = 1,089.26

μ+2σ = 1,097.62

Step-by-step explanation:

The standard deviation of a sample of size 'n' and proportion 'p' is:

$\sigma=\sqrt{\frac{p*(1-p)}{n} }$

If n=1139 and p =0.96, the standard deviation is:

$\sigma=\sqrt{\frac{p*(1-p)}{n}}\\\sigma = 0.001836$

The minimum and maximum usual values are:

$\mu-2\sigma = (p-2\sigma)*n\\\mu+2\sigma = (p+2\sigma)*n$

$\mu-2\sigma = (0.96-2*0.001836)*1139\\\mu-2\sigma = 1,089.26\\\mu+2\sigma = (0.96+2*0.001836)*1139\\\mu+2\sigma = 1,097.62$

5 0

3 years ago

What value, written as a decimal, should Lena use as the common ratio?

inn [45]

Answer:

an=1*2.5^(n-1)

=2.5^(n-1)

Step-by-step explanation:

Complete question below:

What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).

Solution

Point (1, 1), (2, 2.5), (3, 6.25).

a=1

ar=2.5

ar^2=6.25

From ar and ar^2

r=6.25/2.5

=2.5

r=2.5

an=ar^(n-1)

Therefore, the explicit formula is

an=1*2.5^(n-1)

=2.5^(n-1)

7 0

2 years ago

You randomly choose one of the tiles. Without replacing the first tile, you randomly choose a second tile. Find the probability

Lesechka [4]

Answer:

4/21

Step-by-step explanation:

I got the first probability and the second probabilty then multiplied them together.

3 0

3 years ago

Two sides of a triangle measure 7 meters and 9 meters. Which of the following measures could represent the perimeter of the tria

boyakko [2]

Perimeter is sum of all the sides ,

so, perimeter will be 7 + 9 + x = 16 + x

it will be more than 16 for sure

8 0

3 years ago

Grace used a container shaped like a cylinder for her dog's food. It's radius is 4 inches and it's height is 5 inches. find the

Advocard [28]

Answer:

251.33 cubic inches

Step-by-step explanation:

The formula for the volume of a cylinder = πr²h

r = Radius = 4 inches

h = Height = 5 inches

Volume of a Cylinder = π × 4² × 5

= 251.32741 cubic inches

Approximately , the Volume of the cylinder = 251.33 cubic inches.

6 0

3 years ago