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Scilla [17]
4 years ago
5

Simplify (3n – 2m)2 = ?

Mathematics
2 answers:
VikaD [51]4 years ago
4 0
If there are two values places next to each other (E.g. xy), then the values are multiplied together. In this example, "3n - 2m" is one value as it is in the brackets. The second value is "2".
To simplify, you must open up the brackets. So multiply what is inside the brackets by what is outside. (2 x 3n) - (2 x 2m) = 6n - 4m
lana66690 [7]4 years ago
3 0
(3n - 2m)² = (3n - 2m)<span>(3n - 2m) 
</span>
= 3n(3n - 2m) - 2m(3n - 2m)

= 9n² - 6mn - 6mn + 4m² 

= 9n² - 12mn + 4m²<span> </span>
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Answer:

2,4,5,and 7

Step-by-step explanation:

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8 0
4 years ago
A jar of peanut butter contains 454 g with a standard deviation of 10.2 g. Find the probability that a jar contains more than 46
Fofino [41]

Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = <u><em>Amount of peanut butter in a jar</em></u>

The z-score probability distribution for the normal distribution is given by;

                                Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 454 g

           \sigma = standard deviation = 10.2 g

So, X ~ Normal(\mu=454 , \sigma^{2} = 10.2^{2})

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

            P(X > 466 g) = P( \frac{X-\mu}{\sigma} > \frac{466-454}{10.2} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

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The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

4 0
3 years ago
a square with an area of 144 cm² is reduced by a factor of 1/3 how long are the new sides of the square?​
olga55 [171]

Answer:

4  cm

Step-by-step explanation:

The square root of 144 is 12 (12 x 12 = 144) so we know our sides of the square are 12 cm²

12 / 3 = 4

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The sides of the new square are 4 :)

Hope this helps and is correct, have a nice day! :D

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3 years ago
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8 0
3 years ago
Read 2 more answers
Write this expression as a single term: 2log2x + log2(x + 5).
ra1l [238]

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6 0
4 years ago
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