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2 years ago

14

5x^2 -15x-140 what method should be use?

1 answer:

elena55 [62]2 years ago

8 0

5x^2 -15x-140

5(x² -(3x) -28)

5(x² +(4x-7x)-28)

5(x(x+4) -7(x+4)

5(x-7)*(x-4)

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Bruce has a rope that is 21 feet long he needs to cut the rope into 1/5 long peices. How many strips can Bruce cut from his rope

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Bruce has a rope that is 21 feet long he needs to cut the rope into 1/5 long pieces.

The length of the rope = 21 feet

the length of each strip = $\frac{1}{5}$

We need to cut the rope 21 feet into $\frac{1}{5}$ strips

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3 years ago

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what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed

kramer

Answer:

$P(x \le 21) = 0.69146$

Step-by-step explanation:

The missing parameters are:

$n = 64$ --- population

$\mu = 20$ --- population mean

$\sigma = 16$ -- population standard deviation

Required

$P(x \le 21)$

First, calculate the sample standard deviation

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{16}{\sqrt {64}}$

$\sigma_x = \frac{16}{8}$

$\sigma_x = 2$

Next, calculate the sample mean $\bar_x$

$\bar x = \mu$

So:

$\bar x = 20$

So, we have:

$\sigma_x = 2$

$\bar x = 20$

$x = 21$

Calculate the z score

$x = \frac{x - \mu}{\sigma}$

$x = \frac{21 - 20}{2}$

$x = \frac{1}{2}$

$x = 0.50$

So, we have:

$P(x \le 21) = P(z \le 0.50)$

From the z table

$P(z \le 0.50) = 0.69146$

So:

$P(x \le 21) = 0.69146$

4 0

2 years ago