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Anika [276]
3 years ago
5

What is the greatest common factor of the terms of the polynomial below? 1244 - 6x² + 9x²

Mathematics
1 answer:
vodomira [7]3 years ago
6 0

Answer:

330, 75, 450, 225

Step-by-step explanation:

I learned this in algebra 1

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£4 and 720p, 12 times 60p equals 720p
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3 years ago
22/20 in simplest form
Evgen [1.6K]

Answer: 22/20 in simplest form would be 11/10.

Step-by-step explanation:

To find simplest form, you need to reduce the fraction down by a common factor, for instance 2. 22/2 is 11 (which is your numerator) and 20/2 is 10 (which is your denominator).

3 0
3 years ago
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2. Suppose over several years of offering AP Statistics, a high school finds that final exam scores are normally distributed wit
nirvana33 [79]

Answer:

By the Central Limit Theorem, the mean is 78, the standard deviation is s = \frac{6}{\sqrt{n}} and the shape is approximately normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 78 and a standard deviation of 6

This means that \mu = 78, \sigma = 6

Samples of n:

This means that the standard deviation is:

s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}

What are the mean, standard deviation, and shape of the distribution of x-bar for n?

By the Central Limit Theorem, the mean is 78, the standard deviation is s = \frac{6}{\sqrt{n}} and the shape is approximately normal.

6 0
3 years ago
76. Currently, your savings for each month is capped at $400. If you start investing all of this into a savings plan earning 1%
Alexxandr [17]

Answer:

10 years and 10 months.

Step-by-step explanation:

The annually interest rate (ia) can be converted by monthly (im) by the equation:

(1 + im)¹² = 1 + ia

(1 + im)¹² = 1 +0.01

(1 + im)¹² = 1.001 (putting ln in both sides)

ln(1 + im)¹² = ln1.001

12*ln(1 + im) = 1.0x10⁻³

ln(1 + im) = 8.33x10⁻⁵(applying "e in both sides)

e^{ln(1 + im)} = e^{8.33x10^{-5}}

1 + im = 1.00083

im = 0.00083 = 0.083%

For a investimenting, the final amount (A) can be calculated by:

A = R*(\frac{(1+i)^n-1}{i} )

Where R is the amount invested per month, i is the interest, and n the number of months:

160000 = 400 *\frac{(1 +0.00083)^n - 1}{0.00083}

\frac{(1 +0.00083)^n - 1}{0.00083} = 400

1.00083ⁿ - 1 = 0.332

1.00083ⁿ = 1.332 (applying ln in both sides)

n*ln1.00083 = ln1.332

8.3x10⁻⁴n = 0.2867

n = 345.4 months

345.4 months *1 yea12 months = 10 years and 10 months.

7 0
3 years ago
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Solve the inequality -9 ≤ 7-8v cmon bro
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Answer:

v  ≤  2

Step-by-step explanation:

6 0
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