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3 years ago

What is 2x(y+5)=2.5y What is 2x(y+5)=2.5y

Mathematics

1 answer:

White raven [17]3 years ago

8 0

Answer:

simplify: 2.5 =(y+5)

reorder the terms: 2.5y=(5+y)

remove the parenthesis: 2.5y=5+y

solving: 2.5y=5+y

move all terms containing y to the left, all other terms to the right.

add -1y to each side of the equation

2.5y+-1y=5+y+-1y

combine like terms 2.5y+-1y=1.5y

1.5y=5+y+-1y

combine like terms: y+-1y=0

1.5y=5+0

1.5y=5

divide each side by 1.5

y=3.333333333

simplifying

y=3.333333333

Step-by-step explanation:

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3 years ago

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

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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:

$\sigma_x = 2$

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$x = 21$

Calculate the z score

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So, we have:

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

From the z table

$P(z \le 0.50) = 0.69146$

So:

$P(x \le 21) = 0.69146$

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