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4 years ago

Solve using distributive property. (3x2-2x+7)(x2+2x) Thank you!

Mathematics

2 answers:

geniusboy [140]4 years ago

6 0

Answer:

$3x^4+4x^3+3x^2+14x$

Step-by-step explanation:

$(3x^2-2x+7)(x^2+2x)$

$3x^4+6x^3-2x^3-4x^2+7x^2+14x$

$=3x^4+4x^3+3x^2+14x$

ss7ja [257]4 years ago

5 0

Answer:

3x^4+4x^3-3x^2+14x

Step-by-step explanation:

(3x^2-2x+7)(x^2+2x)

= 3x^2(x^2+2x)-2x(x^2+2x)+7(x^2+2x)

= 3x^4+4x^3-3x^2+14x

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Peter and Angad win some money and share it in the ratio 1:4. Peter gets £11. How much did Angad get?

Arada [10]

Answer:

i believe the answer is 44

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8 0

3 years ago

The fifth period Coordinate Algebra class received their quiz grades back from Mr. Smith today. The students were offered a chan

sdas [7]

First, we need to put the numbers in order...
58,60,69,71,78,78,85,85,86,87,88,91,93,95,95,95,96,98,100,100
and since there is an even number of numbers (20), we need to find the 2 middle numbers and divide them by 2 to find the median (Q2)
Q2 (the median) = (87 + 88) / 2 = 175/2 = 87.5
now we take all the numbers below 87.5...and find the median (middle number) and that number will be Q1...there is 2 middle numbers...so we add them and divide by 2
Q1 = (78 + 78) / 2 = 156/2 = 78
now we take all the numbers after 87.5....and find the median...there will be 2 numbers, so we add them and divide by 2..that wil be Q3
Q3 = (95 + 95) / 2 = 190/2 = 95

So in summary :
Q1 = 78 <==
Q2 = 87.5
Q3 = 95 <==

The interquartile range (IQR) is found by subtracting Q1 from Q3.
IQR = 95 - 78 = 17 <==

8 0

3 years ago

In the United States, 7% of all registered voters belong to the Green party. A random sample of 50 registered voters is taken. U

Maksim231197 [3]

Answer:

The expected value of the sample proportion is of 0.07.

1. P(p < .02) = 0.0823

2. P(p > .15) = 0.0132

3. P(.05 < p < .09) = 0.4176

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$