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3 years ago

(Write an equivalent expression by applying the distributive property X+2)(x+9)

Mathematics

2 answers:

ivann1987 [24]3 years ago

8 0

Answer:

Step-by-step explanation:

(x + 2)(x +9)= x*(x +9) + 2*(x +9)

= x*x + x*9 + 2*x + 2*9

= x² +<u> 9x + 2x </u>+ 18 {Combine like terms}

= x² + 11x +18

likoan [24]3 years ago

5 0

Answer:

x^2 + 11x + 18

Step-by-step explanation:

I assume this is asking about (x+2)(x+9), so if it isn't, then I can't be sure this is right.

That said, the distributive property has to do with multiplication of things in parentheses, meaning you must multiply this expression out to get what the question is asking. When it comes to 2 binomials, you can use the common abbreviation First Inside Outside Last, or FOIL.

Multiply the First terms: x * x = x^2

Multiply the Outside terms: x * 9 = 9x

Multiply the Inside terms: 2 * x = 2x

Multiply the Last terms: 2 * 9 = 18

This leaves you with x^2 + 9x + 2x + 18. Combine your like terms (9x and 2x) to get x^2 + 11x + 18 and you're done!

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Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat

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Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that $n = 65, \pi = 0.76$

99% confidence level

So $\alpha = 0.005$ , z is the value of Z that has a pvalue of $1 - \frac{0.005}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964$

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The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

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3 years ago