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3 years ago

6x to the power of 2 + 5x +3(2x to the power of 2) + 7x

1 answer:

6 0

Answer: 6x² + 5x + 3 • 2x² + 7x = 12x² + 12x

Explanation:

6x² + 5x + 3 • 2x² + 7x

Multiply 3 by 2 to get 6. (6x² + 5x + 6x² + 7x)

Add 6x² and 6x² to get 12x². (12x² + 5x + 7x)

Add 5x and 7x to get 12x. (12x² + 12x)

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Complete the chart to find the mean, variance, and standard deviation. Remember to use commas and round numbers to the nearest t

vitfil [10]

Answer: The mean of the data is 433.75, variance of the data is 99667.19 and the standard deviation of the data is 315.7011.

Explanation:

The given data is 900, 35, 500 and 300.

The number of observation is 4.

Formula of mean is,

$\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}$

$\bar{X}=\frac{900+35+50+300}{4} =433.75$

The formula of variance is given below,

$\sigma^2=\frac{1}{n}\sum{(X-\bar{X})^2}$

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The standard deviation of the data is 315.7011.

The other information or values of given chart is shown in the attached table.

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3 years ago

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Which is an advantage of using equations for solving problems?

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The score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

Artemon [7]

Answer:

P(X $\geq$ 74) = 0.3707

Step-by-step explanation:

We are given that the score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

Let X = Score of golfers

So, X ~ N( $\mu=73,\sigma^{2}=3^{2}$ )

The z score probability distribution is given by;

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

where, $\mu$ = population mean = 73

$\sigma$ = standard deviation = 3

So, the probability that the score of golfer is at least 74 is given by = P(X $\geq$ 74)

P(X $\geq$ 74) = P( $\frac{X-\mu}{\sigma}$ $\geq$ $\frac{74-73}{3}$ ) = P(Z $\geq$ 0.33) = 1 - P(Z < 0.33)

= 1 - 0.62930 = 0.3707

Therefore, the probability that the score of golfer is at least 74 is 0.3707 .

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