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Fofino [41]
3 years ago
5

Factorise polynomial 27y3 + 125z3​

Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0

Answer:

27y^{3} +125z^{3} =(3y)^{3} +(5z)^{3}

Apply the formula for sum of cubes: a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2})

Therefore:

\left(3y\right)^3+\left(5z\right)^3=\left(3y+5z\right)\left(3^2y^2-3\cdot \:5yz+5^2z^2\right)

=\left(3y+5z\right)\left(9y^2-15yz+25z^2\right)

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Jerry's Seed Palace claims that 80% of its lima bean seeds will germinate. Suppose the company's claim is true. Callie buys a pa
Mekhanik [1.2K]

Answer:

A

Step-by-step explanation:

This is a Bernoulli trial problem.

Since the probability that the seed will germinate is 80% or 0.8, the probability that they won’t germinate is 0.2

Now let’s say the probability to germinate is p and the probability not to is a, we can now set up the Bernoulli equation in this regard. Since we are proposing that exactly 14 will germinate, it means 6 are not expected to germinate

P(14) = 20C14 (0.8)^14 (0.2)^6 = 0.109099700973

Option A is the right answer

3 0
3 years ago
Xa farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the ba
Kay [80]
Width=34.2
Length=65.2
6 0
3 years ago
May u guys help me jus me out 5 ez questions for u guys to help me with
Elena-2011 [213]

Answer:

1. -29/156 2. 38/45 3. 29/45 4. 113/24 or about 4.7 5. 457/1,  914/2,  1371/3

Step-by-step explanation:

3/13 - 5/12 can be simplified to 36/156 - 65/156. Subtract this and you get -29/156  

4/9 + 2/5 can be simplified to 20/45 + 18/45. Add this and you get

38/45

5/8 - 2/9  can be simplified to 45/72 - 16/72. Subtract this and you get

29/45

3 1/2 + 2 5/12 can be first made irrational to 7/2 + 29/24. This can be simplified to 84/24 + 29/24

113/24 or about 4.7

Not sure about the 457, but to convert it, you multiply it by whatever denominator you have. For example

1x457 = 457/1

2x457 = 914/2

And finally 3x457 = 1371/3

3 0
3 years ago
Use the equation s=5q+8 to find the value of s when q=1.
Norma-Jean [14]

Answer:

s=13

Step-by-step explanation:

s=5q+8

plug in numbers

s=5(1)+8

solve 5*1

s=5+8

solve 5+8

s=13

7 0
3 years ago
16 plus 5 times a number is more than the number minus 8. Write an inequality and solve it
Radda [10]

n > -6 is the inequality for 16 plus 5 times a number is more than the number minus 8

<em><u>Solution:</u></em>

Given statement is:

16 plus 5 times a number is more than the number minus 8

We have to write a inequality

From given statement,

16 plus 5 times a number is more than the number minus 8

Let the number be "n"

Therefore,

16 plus 5 times "n" is more than "n" minus 8

Here, "plus" means addition and "minus" means subtraction and "times" means multiplication

Thus the statement is translated into inequality as:

16 + 5n >n-8

Simplify the inequality

16 + 5n >n-8\\\\\mathrm{Subtract\:}16\mathrm{\:from\:both\:sides}\\\\16 + 5n -16 > n - 8 -16\\\\5n >n-24\\\\\mathrm{Subtract\:}n\mathrm{\:from\:both\:sides}\\\\5n-n>n-24-n\\\\\mathrm{Simplify}\\\\4n>-24\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4n}{4}>\frac{-24}{4}\\\\n>-6

Thus the soultion is n > -6

8 0
4 years ago
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