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IrinaK [193]
3 years ago
13

Use the distributive property to simplify the expression 3(4x + 9).

Mathematics
2 answers:
jeka57 [31]3 years ago
4 0

Answer:

12x + 27

Step-by-step explanation:

3 x 4x = 12x

3 x 9 = 27

Then you just put them together

12x+27

Shalnov [3]3 years ago
3 0

Answer:

12x+27

Step-by-step explanation:

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Suppose 30% of the U.S. population has green eyes. If a random sample of size 1200 U.S. citizens is drawn, then the probability
galina1969 [7]

Answer:

P(X is less than 348) = 0.2148

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.3

Sample size = 1200

Let X be the random variable that obeys a binomial distribution. Then;

X \sim Bin(n = 1200,p =0.3)

The Binomial can be approximated to normal with:

\mu = np = 1200 \times 0.3 \\ \\ \mu= 360

\sigma = \sqrt{np(1-p) } \\ \\  \sigma = \sqrt{1200 \times (0.3)(1-0.3) } \\ \\ \sigma = 15.875

To find:

P(X< 348)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 348 lies between 347.5 and 348.5

Normal distribution:

x = 347.5, \mu = 360, \sigma = 15.875

Using the z test statistics;

z = \dfrac{x - \mu}{\sigma}

z = \dfrac{347.5 - 360}{15.875}

z = \dfrac{-12.50}{15.875}

z = -0.7874

z ≅ - 0.79

The p-value for P(X<347.5) = P(Z < -0.79)

From the z tables;

P(X<347.5) = 0.2148

Thus;

P(X is less than 348) = 0.2148

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