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3 years ago

Simplify the following expression: 7n (-3+ 6n) - 2n (3 + 7n)

Mathematics

2 answers:

vitfil [10]3 years ago

6 0

Answer:

=28n2−27n

Step-by-step explanation:

raketka [301]3 years ago

5 0

Answer
28nsquared -27n

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Which expression is m times m times m times m times m rewritten in exponential form? m Superscript 5 5 m 5 Superscript m m 5.

sukhopar [10]

The expression which is equal to the m times, m times, m times, m times, m rewritten in exponential form as,

$m^5$

<h3>What is the exponent or power?</h3>

The exponent or power of a number represent the multiplication of the that number to the power times.

Let suppose a number 2 has the power 2. Then it will be equal to,

$2^2=2\times2$

Similarly, 3 times of number 2 equal to the number 2 with exponent 3.

$2\times2\times2=2^3$

The expression is m times, m times, m times, m times, m. It can be written as,

$m\times m\times m\times m\times m\\$

The number m is total 5 time multiply by itself. Thus, the exponential form of the above equation is,

$m^5$

The expression which is equal to the m times, m times, m times, m times, m rewritten in exponential form as,

$m^5$

Learn more about the exponents power here;

brainly.com/question/18324331

5 0

3 years ago

Someone please help me I don’t understand this

Alla [95]

Answer:

huh

Step-by-step explanation:

8 0

2 years ago

Please help on this!!

dexar [7]

3^8=6,561
6,561 •3=19,683

The highest altitude of an altocumulus cloud is 19,683 feet.

8 0

3 years ago

Write the equation in slope-intercept form. 4x+3y=18

Helen [10]

Answer:

y = -4/3x + 6

Step-by-step explanation:

1. 3y - 4x + 3y = 18 - 3y

2. 4x = -3y + 18

3. 18 - 4x = -3y + 18 - 18

4. -3/ -3y = 4x - 18 /3

5. y = -4/3x + 6

6 0

3 years ago

An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2000 individ

Tema [17]

Answer:

a) P=0.558

b) P=0.021

Step-by-step explanation:

We can model this random variable as a Poisson distribution with parameter λ=1/500*2000=4.

The approximate distribution of the number who carry this gene in a sample of 2000 individuals is:

$P(x=k)=\frac{\lambda^ke^{-\lambda}}{k!} =\frac{4^ke^{-4}}{k!}$

a) We can calculate that the approximate probability that between 4 and 9 (inclusive) as:

$P(4\leq x\leq 9)=\sum_{k=4}^9P(k)\\\\\\ P(4)=4^{4} \cdot e^{-4}/4!=256*0.0183/24=0.195\\\\P(5)=4^{5} \cdot e^{-4}/5!=1024*0.0183/120=0.156\\\\P(6)=4^{6} \cdot e^{-4}/6!=4096*0.0183/720=0.104\\\\P(7)=4^{7} \cdot e^{-4}/7!=16384*0.0183/5040=0.06\\\\P(8)=4^{8} \cdot e^{-4}/8!=65536*0.0183/40320=0.03\\\\P(9)=4^{9} \cdot e^{-4}/9!=262144*0.0183/362880=0.013\\\\\\$

$P(4\leq x\leq 9)=\sum_{k=4}^9P(k)=0.195+0.156+0.104+0.060+0.030+0.013=0.558$

b) The approximate probability that at least 9 carry the gene is:

$P(x\geq9)=1-P(x\leq 8)\\\\\\$

$P(0)=4^{0} \cdot e^{-4}/0!=1*0.0183/1=0.018\\\\P(1)=4^{1} \cdot e^{-4}/1!=4*0.0183/1=0.073\\\\P(2)=4^{2} \cdot e^{-4}/2!=16*0.0183/2=0.147\\\\P(3)=4^{3} \cdot e^{-4}/3!=64*0.0183/6=0.195\\\\P(4)=4^{4} \cdot e^{-4}/4!=256*0.0183/24=0.195\\\\P(5)=4^{5} \cdot e^{-4}/5!=1024*0.0183/120=0.156\\\\P(6)=4^{6} \cdot e^{-4}/6!=4096*0.0183/720=0.104\\\\P(7)=4^{7} \cdot e^{-4}/7!=16384*0.0183/5040=0.06\\\\P(8)=4^{8} \cdot e^{-4}/8!=65536*0.0183/40320=0.03\\\\$

$P(x\geq9)=1-P(x\leq 8)\\\\P(x\geq9)=1-(0.018+0.073+0.147+0.195+0.195+0.156+0.104+0.060+0.030)\\\\P(x\geq9)=1-0.979=0.021$

8 0

3 years ago

Simplify the following expression: 7n (-3+ 6n) - 2n (3 + 7n)​

Simplify the following expression: 7n (-3+ 6n) - 2n (3 + 7n)